GEONE - Substitution Random Functions (SRF) - continuous random fields

A substitution random function is a function $Z=Y(T)$ , where $T$ is the directing function (latent field) and $Y$ the coding process.

The directing function $T$ is a random process, $T: \mathbb{R}^d \longrightarrow \mathbb{R}$ , and the coding process a random process, $Y:\mathbb{R}\longrightarrow \mathbb{R}$ .

The directing function and the coding process are independent.
The directing function has stationary increment.
The coding process is stationary.

In this notebook, we consider SRF with

multiGaussian latent field $T$
multiGaussian random process (1D) as coding process $Y$

Illustrations are given for unconditional and conditional cases, in 1D, 2D, and 3D.

Additional example. See also at the end of the notebook: an example or SRF based on two latent fields, i.e. a directing function $T=(T_1, T_2)$ , where $T_1, T_2: \mathbb{R}^d \longrightarrow \mathbb{R}$ , are multiGaussian fields and a 2D multiGausian field as coding process, $Y:\mathbb{R^2}\longrightarrow \mathbb{R}$ . The processes $T_1, T_2$ and $Y$ are independent, and $Z=Y(T)= Y(T_1, T_2)$ .

Import what is required

[1]:

import numpy as np
import matplotlib.pyplot as plt
import time

from matplotlib.gridspec import GridSpec

import pyvista as pv

# import from package 'geone'
import geone as gn

[2]:

# Show version of python and version of geone
import sys
print(sys.version_info)
print('geone version: ' + gn.__version__)

sys.version_info(major=3, minor=13, micro=7, releaselevel='final', serial=0)
geone version: 1.3.1

[3]:

pv.set_jupyter_backend('static') # to get static plots within the jupyter notebook

Function `geone.srf.srf_mg_mg`

This function allows to generate continuous realizations in 1D, 2D and 3D (see examples below) of SRF with multiGaussian latent field and multiGaussian random process as coding process. Conditional and unconditional simulations can be done. For conditional simulation, a kind of Metropolis-Hasting algorithm is used (see help of the function); if conditioning fails, it is possible to get less realizations than the specified number (warning is displayed depending on the verbose keyword argument). Moreover, control point(s) on the coding process can be added, typically imposing the value of $Y$ at the mean of $T$ .

In full output mode (keyword argument full_output=True (default)), in addition to the resulting $Z$ fields, are retrieved in output: the latent fields ( $T$ ) and the 1D field ( $Y$ ) of all realizations.

Example : conditional 1D SRF

[4]:

# Parameters for display (used further)
im_T_display={'cmap':'gist_ncar'}
im_Z_display={'cmap':'terrain'}

[5]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 1,   1    # number of cells
sx, sy, sz = 0.5, 1.0, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T (latent field)
# -------------------------------------
r_T = 15.0
w_T = 1.0
nu_T = 1.5
cov_model_T = gn.covModel.CovModel1D(elem=[
    ('matern', {'w':w_T, 'r':gn.covModel.cov_matern_get_r_param(nu_T, r_T), 'nu':nu_T}),
    ], name='cov_model_T')

# Mean of T
mean_T = 0.0

# Covariance model for Y
# ----------------------
nu_Y = 3 # matern covariance with nu=3 is close to Gaussian covariance
r_Y = 2.0*np.sqrt(w_T)
w_Y = 4.0
cov_model_Y = gn.covModel.CovModel1D(elem=[
        ('matern', {'w':w_Y, 'r':gn.covModel.cov_matern_get_r_param(nu_Y, r_Y), 'nu':nu_Y}),
        ], name='')
cov_Y_0 = cov_model_Y.func()([0.])[0]  # sill (w_Y)
std_Y_0 = np.sqrt(cov_Y_0)

mean_Y = -3.0 # Mean of Y

# 1D-grid resolution for Y (coding process)
spacing_Y=.0001

# SRF simulation (Z = Y(T))
# -------------------------
# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
x = np.array([17.25, 27.25, 54.25, 66.25, 75.25])
v = np.array([-5. , -3., -1., -4., -1.])

# Additional constraint on Y (control points)
t_constraint = None
yt_constraint = None

# Target distribution
target_distrib = None

# Number of realizations and seed
nreal = 3
seed_sim = 232
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T, Y = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, nx, sx, ox,
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    target_distrib=target_distrib,
    nreal=nreal,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx, 0., 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 3...
srf_mg_mg:   ... sim 1 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 46 of 100...

/home/julien/miniconda3/envs/py313/lib/python3.13/site-packages/geone/covModel.py:380: RuntimeWarning: invalid value encountered in scalar power
  u1 = (0.5*u)**nu

srf_mg_mg:   ... sim 1 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 2 of 3...
srf_mg_mg:   ... sim 2 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 3 of 3...
srf_mg_mg:   ... sim 3 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 100 of 100...
Elapsed time: 0.21 sec
Number of realizations generated: 3
Conditioning data honoured ? False
Conditioning data, ok at: 46.666666666666664 %

[6]:

# Set spacing in y direction (1 cell) to visualize images using gn.imgplot.drawImage2D
im_T.sy = .2 * im_T.sx*im_T.nx
im_Z.sy = .2 * im_Z.sx*im_Z.nx

# Plot results
# ------------
ireal = 0 # realization to plot

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

plt.subplots(3, 1, figsize=(16, 8))

# Z
plt.subplot(3,1,1)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    yc = im_Z.oy+0.5*im_Z.sy
    plt.scatter(x, yc*np.ones_like(x), marker='+', s=80, color='black', linewidths=1)

plt.title('Z')

# T
plt.subplot(3,1,2)
gn.imgplot.drawImage2D(im_T, iv=ireal, **im_T_display)
# Add conditioning location
if x is not None:
    yc = im_T.oy+0.5*im_T.sy
    # plt.plot(x, yc*np.ones_like(x), 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i], yc, marker=marker_loc[i%len(marker_loc)], s=80, color='grey', linewidths=1)

plt.title('T')

# Y
plt.subplot(3,1,3)

Y_nx = Y[ireal][0]
Y_sx = Y[ireal][1]
Y_ox = Y[ireal][2]
Y_val = Y[ireal][3]
y_abscissa = Y_ox + (np.arange(Y_nx)+0.5)*Y_sx
plt.plot(y_abscissa, Y_val)

# Add conditioning location
if x is not None:
    jx = (x[:]-im_T.ox)/im_T.sx # (x[:,0]-im_T.oy)/im_T.sy
    jy = np.zeros(x.shape[0])   # (x[:,1]-im_T.oy)/im_T.sy
    jz = np.zeros(x.shape[0])   # (x[:,2]-im_T.oz)/im_T.sz

    ix = [int(a) for a in jx]
    iy = [int(a) for a in jy]
    iz = [int(a) for a in jz]

    # round to lower index if between two grid nodes
    ix = [a-1 if a == b and a > 0 else a for a, b in zip(ix, jx)]
    iy = [a-1 if a == b and a > 0 else a for a, b in zip(iy, jy)]
    iz = [a-1 if a == b and a > 0 else a for a, b in zip(iz, jz)]

    for i, (ixx, iyy, izz) in enumerate(zip(ix, iy, iz)):
        plt.scatter(im_T.val[ireal, izz, iyy, ixx], v[i], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

# Add control point
if t_constraint is not None:
    plt.scatter(t_constraint, yt_constraint, marker='.', color='purple', s=100)

plt.title('Y(t)')

plt.show()

../_images/notebooks_ex_srf_mg_mg_8_0.png

[7]:

# Plot 3 realizations of Z
plt.subplots(3,1, sharex=True, sharey=True, figsize=(15,6))
plt.subplot(3,1,1)
for j in range(3):
    plt.subplot(3,1,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
        yc = im_Z.oy+0.5*im_Z.sy
        plt.scatter(x, yc*np.ones_like(x), marker='+', s=80, color='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()

../_images/notebooks_ex_srf_mg_mg_9_0.png

100 realizations (same setup)

[8]:

# Number of realizations and seed
nreal = 100
seed_sim = 232

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, nx, sx, ox,
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    nreal=nreal,
    full_output=False,
    verbose=2
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx, 0., 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 100...
srf_mg_mg: simulation 2 of 100...
srf_mg_mg: simulation 3 of 100...
srf_mg_mg: simulation 4 of 100...
srf_mg_mg: simulation 5 of 100...
srf_mg_mg: simulation 6 of 100...
srf_mg_mg: simulation 7 of 100...
srf_mg_mg: simulation 8 of 100...
srf_mg_mg: simulation 9 of 100...
srf_mg_mg: simulation 10 of 100...
srf_mg_mg: simulation 11 of 100...
srf_mg_mg: simulation 12 of 100...
srf_mg_mg: simulation 13 of 100...
srf_mg_mg: WARNING: conditioning points for Y falling in a same grid cell have been aggregated (mean) (real index 12)
srf_mg_mg: simulation 14 of 100...
srf_mg_mg: simulation 15 of 100...
srf_mg_mg: simulation 16 of 100...
srf_mg_mg: simulation 17 of 100...
srf_mg_mg: simulation 18 of 100...
srf_mg_mg: simulation 19 of 100...
srf_mg_mg: simulation 20 of 100...
srf_mg_mg: simulation 21 of 100...
srf_mg_mg: simulation 22 of 100...
srf_mg_mg: simulation 23 of 100...
srf_mg_mg: simulation 24 of 100...
srf_mg_mg: simulation 25 of 100...
srf_mg_mg: simulation 26 of 100...
srf_mg_mg: simulation 27 of 100...
srf_mg_mg: simulation 28 of 100...
srf_mg_mg: simulation 29 of 100...
srf_mg_mg: simulation 30 of 100...
srf_mg_mg: simulation 31 of 100...
srf_mg_mg: simulation 32 of 100...
srf_mg_mg: simulation 33 of 100...
srf_mg_mg: simulation 34 of 100...
srf_mg_mg: simulation 35 of 100...
srf_mg_mg: simulation 36 of 100...
srf_mg_mg: simulation 37 of 100...
srf_mg_mg: simulation 38 of 100...
srf_mg_mg: simulation 39 of 100...
srf_mg_mg: simulation 40 of 100...
srf_mg_mg: simulation 41 of 100...
srf_mg_mg: simulation 42 of 100...
srf_mg_mg: simulation 43 of 100...
srf_mg_mg: simulation 44 of 100...
srf_mg_mg: simulation 45 of 100...
srf_mg_mg: simulation 46 of 100...
srf_mg_mg: simulation 47 of 100...
srf_mg_mg: simulation 48 of 100...
srf_mg_mg: simulation 49 of 100...
srf_mg_mg: simulation 50 of 100...
srf_mg_mg: simulation 51 of 100...
srf_mg_mg: simulation 52 of 100...
srf_mg_mg: simulation 53 of 100...
srf_mg_mg: simulation 54 of 100...
srf_mg_mg: simulation 55 of 100...
srf_mg_mg: simulation 56 of 100...
srf_mg_mg: simulation 57 of 100...
srf_mg_mg: simulation 58 of 100...
srf_mg_mg: simulation 59 of 100...
srf_mg_mg: simulation 60 of 100...
srf_mg_mg: simulation 61 of 100...
srf_mg_mg: simulation 62 of 100...
srf_mg_mg: simulation 63 of 100...
srf_mg_mg: simulation 64 of 100...
srf_mg_mg: simulation 65 of 100...
srf_mg_mg: simulation 66 of 100...
srf_mg_mg: simulation 67 of 100...
srf_mg_mg: simulation 68 of 100...
srf_mg_mg: simulation 69 of 100...
srf_mg_mg: simulation 70 of 100...
srf_mg_mg: simulation 71 of 100...
srf_mg_mg: simulation 72 of 100...
srf_mg_mg: simulation 73 of 100...
srf_mg_mg: simulation 74 of 100...
srf_mg_mg: simulation 75 of 100...
srf_mg_mg: simulation 76 of 100...
srf_mg_mg: simulation 77 of 100...
srf_mg_mg: simulation 78 of 100...
srf_mg_mg: simulation 79 of 100...
srf_mg_mg: simulation 80 of 100...
srf_mg_mg: simulation 81 of 100...
srf_mg_mg: simulation 82 of 100...
srf_mg_mg: simulation 83 of 100...
srf_mg_mg: simulation 84 of 100...
srf_mg_mg: simulation 85 of 100...
srf_mg_mg: simulation 86 of 100...
srf_mg_mg: simulation 87 of 100...
srf_mg_mg: simulation 88 of 100...
srf_mg_mg: simulation 89 of 100...
srf_mg_mg: simulation 90 of 100...
srf_mg_mg: simulation 91 of 100...
srf_mg_mg: simulation 92 of 100...
srf_mg_mg: simulation 93 of 100...
srf_mg_mg: simulation 94 of 100...
srf_mg_mg: simulation 95 of 100...
srf_mg_mg: simulation 96 of 100...
srf_mg_mg: simulation 97 of 100...
srf_mg_mg: simulation 98 of 100...
srf_mg_mg: simulation 99 of 100...
srf_mg_mg: simulation 100 of 100...
Elapsed time: 7.7 sec
Number of realizations generated: 100
Conditioning data honoured ? False
Conditioning data, ok at: 48.6 %

[9]:

# Set spacing in y direction (1 cell) to visualize images using gn.imgplot.drawImage2D
im_Z.sy = .2 * im_Z.sx*im_Z.nx

# Statistics (proportion map)
# ---------------------------
im_Z_mean = gn.img.imageContStat(im_Z, op='mean')
im_Z_std  = gn.img.imageContStat(im_Z, op='std')

# Plot
# ----
plt.subplots(1,2, sharex=True, sharey=True, figsize=(15,5))
plt.subplot(1,2,1)
gn.imgplot.drawImage2D(im_Z_mean, **im_Z_display)
plt.title(f'Mean map ({im_Z.nv} real.)')
if x is not None:
    yc = im_Z.oy+0.5*im_Z.sy
    plt.scatter(x, yc*np.ones_like(x), marker='+', s=80, color='black', linewidths=1)

plt.subplot(1,2,2)
gn.imgplot.drawImage2D(im_Z_std, cmap='viridis')
plt.title(f'Standard deviation map ({im_Z.nv} real.)')
if x is not None:
    yc = im_Z.oy+0.5*im_Z.sy
    plt.scatter(x, yc*np.ones_like(x), marker='+', s=80, color='black', linewidths=1)

plt.show()

../_images/notebooks_ex_srf_mg_mg_12_0.png

Example : conditional 2D SRF

[10]:

# Parameters for display (used further)
im_T_display={'cmap':'gist_ncar'}
im_Z_display={'cmap':'terrain'}

[11]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 210, 1    # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T (latent field)
# -------------------------------------
r_T = 1.0*np.array([25.0, 25.0])
w_T = 1.0
nu_T = 1.5
cov_model_T = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T, r) for r in r_T]), 'nu':nu_T}),
    ], alpha=0.0, name='cov_model_T')

# Mean of T
mean_T = 0.0

# Covariance model for Y
# ----------------------
nu_Y = 3 # matern covariance with nu=3 is close to Gaussian covariance
r_Y = 2.0*np.sqrt(w_T)
w_Y = 4.0
cov_model_Y = gn.covModel.CovModel1D(elem=[
        ('matern', {'w':w_Y, 'r':gn.covModel.cov_matern_get_r_param(nu_Y, r_Y), 'nu':nu_Y}),
        ], name='')
cov_Y_0 = cov_model_Y.func()([0.])[0]  # sill (w_Y)
std_Y_0 = np.sqrt(cov_Y_0)

mean_Y = -3.0 # Mean of Y

# 1D-grid resolution for Y (coding process)
spacing_Y=.0001

# SRF simulation (Z = Y(T))
# -------------------------
# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
# Conditioning data
x = np.array([[37.25, 25.25],
              [67.25, 24.25],
              [50.25, 52.25],
              [36.25, 80.25],
              [66.25, 81.25]])
v = np.array([-5. , -5., -3., -1., -1.])
#np.random.seed(123)
#nhd = 30
#x = np.array((ox + np.random.random(nhd)*nx*sx, oy + np.random.random(nhd)*ny*sy)).T
#v = np.random.choice(categVal, replace=True, size=nhd)
#v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)

# Additional constraint on Y (control points)
t_constraint = None
yt_constraint = None

# Target distribution
target_distrib = None

# Number of realizations and seed
nreal = 3
seed_sim = 232
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T, Y = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    target_distrib=target_distrib,
    nreal=nreal,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 3...
srf_mg_mg:   ... sim 1 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 2 of 3...
srf_mg_mg:   ... sim 2 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 3 of 3...
srf_mg_mg:   ... sim 3 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 100 of 100...
Elapsed time: 0.53 sec
Number of realizations generated: 3
Conditioning data honoured ? False
Conditioning data, ok at: 73.33333333333333 %

[12]:

# Plot results
# ------------
ireal = 0 # realization to plot

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

fig = plt.figure(figsize=(16, 8), constrained_layout=True)
gs = GridSpec(5, 4, figure=fig)
axZ = fig.add_subplot(gs[0:4, 0:2]) # ax for Z
axT = fig.add_subplot(gs[0:4, 2:4]) # ax for T
axY = fig.add_subplot(gs[4:5, 0:4]) # ax for Y

# Z
plt.sca(axZ)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.title('Z')

# T
plt.sca(axT)
gn.imgplot.drawImage2D(im_T, iv=ireal, **im_T_display)
# Add conditioning location
if x is not None:
    yc = im_T.oy+0.5*im_T.sy
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], s=80, color='grey', linewidths=1)

plt.title('T')

# Y
plt.sca(axY)

Y_nx = Y[ireal][0]
Y_sx = Y[ireal][1]
Y_ox = Y[ireal][2]
Y_val = Y[ireal][3]
y_abscissa = Y_ox + (np.arange(Y_nx)+0.5)*Y_sx
plt.plot(y_abscissa, Y_val)

# Add conditioning location
if x is not None:
    jx = (x[:,0]-im_T.oy)/im_T.sy
    jy = (x[:,1]-im_T.oy)/im_T.sy
    jz = np.zeros(x.shape[0])   # (x[:,2]-im_T.oz)/im_T.sz

    ix = [int(a) for a in jx]
    iy = [int(a) for a in jy]
    iz = [int(a) for a in jz]

    # round to lower index if between two grid nodes
    ix = [a-1 if a == b and a > 0 else a for a, b in zip(ix, jx)]
    iy = [a-1 if a == b and a > 0 else a for a, b in zip(iy, jy)]
    iz = [a-1 if a == b and a > 0 else a for a, b in zip(iz, jz)]

    for i, (ixx, iyy, izz) in enumerate(zip(ix, iy, iz)):
        plt.scatter(im_T.val[ireal, izz, iyy, ixx], v[i], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

# Add control point
if t_constraint is not None:
    plt.scatter(t_constraint, yt_constraint, marker='.', color='purple', s=100)

plt.title('Y(t)')

plt.show()

../_images/notebooks_ex_srf_mg_mg_16_0.png

[13]:

# Plot 3 realizations of Z
plt.subplots(1,3, sharex=True, sharey=True, figsize=(16,8))
plt.subplot(1,3,1)
for j in range(3):
    plt.subplot(1,3,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
       plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()

../_images/notebooks_ex_srf_mg_mg_17_0.png

100 realizations (same setup)

[14]:

# Number of realizations and seed
nreal = 100
seed_sim = 1345

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    nreal=nreal,
    full_output=False,
    verbose=2,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 100...
srf_mg_mg: simulation 2 of 100...
srf_mg_mg: simulation 3 of 100...
srf_mg_mg: simulation 4 of 100...
srf_mg_mg: simulation 5 of 100...
srf_mg_mg: simulation 6 of 100...
srf_mg_mg: simulation 7 of 100...
srf_mg_mg: simulation 8 of 100...
srf_mg_mg: simulation 9 of 100...
srf_mg_mg: simulation 10 of 100...
srf_mg_mg: simulation 11 of 100...
srf_mg_mg: simulation 12 of 100...
srf_mg_mg: simulation 13 of 100...
srf_mg_mg: simulation 14 of 100...
srf_mg_mg: simulation 15 of 100...
srf_mg_mg: simulation 16 of 100...
srf_mg_mg: simulation 17 of 100...
srf_mg_mg: simulation 18 of 100...
srf_mg_mg: simulation 19 of 100...
srf_mg_mg: simulation 20 of 100...
srf_mg_mg: simulation 21 of 100...
srf_mg_mg: simulation 22 of 100...
srf_mg_mg: simulation 23 of 100...
srf_mg_mg: simulation 24 of 100...
srf_mg_mg: simulation 25 of 100...
srf_mg_mg: simulation 26 of 100...
srf_mg_mg: simulation 27 of 100...
srf_mg_mg: simulation 28 of 100...
srf_mg_mg: simulation 29 of 100...
srf_mg_mg: simulation 30 of 100...
srf_mg_mg: simulation 31 of 100...
srf_mg_mg: simulation 32 of 100...
srf_mg_mg: simulation 33 of 100...
srf_mg_mg: simulation 34 of 100...
srf_mg_mg: simulation 35 of 100...
srf_mg_mg: simulation 36 of 100...
srf_mg_mg: simulation 37 of 100...
srf_mg_mg: simulation 38 of 100...
srf_mg_mg: simulation 39 of 100...
srf_mg_mg: simulation 40 of 100...
srf_mg_mg: WARNING: conditioning points for Y falling in a same grid cell have been aggregated (mean) (real index 39)
srf_mg_mg: simulation 41 of 100...
srf_mg_mg: simulation 42 of 100...
srf_mg_mg: simulation 43 of 100...
srf_mg_mg: simulation 44 of 100...
srf_mg_mg: simulation 45 of 100...
srf_mg_mg: simulation 46 of 100...
srf_mg_mg: simulation 47 of 100...
srf_mg_mg: simulation 48 of 100...
srf_mg_mg: simulation 49 of 100...
srf_mg_mg: simulation 50 of 100...
srf_mg_mg: simulation 51 of 100...
srf_mg_mg: simulation 52 of 100...
srf_mg_mg: simulation 53 of 100...
srf_mg_mg: simulation 54 of 100...
srf_mg_mg: simulation 55 of 100...
srf_mg_mg: simulation 56 of 100...
srf_mg_mg: simulation 57 of 100...
srf_mg_mg: simulation 58 of 100...
srf_mg_mg: simulation 59 of 100...
srf_mg_mg: simulation 60 of 100...
srf_mg_mg: simulation 61 of 100...
srf_mg_mg: simulation 62 of 100...
srf_mg_mg: simulation 63 of 100...
srf_mg_mg: simulation 64 of 100...
srf_mg_mg: simulation 65 of 100...
srf_mg_mg: simulation 66 of 100...
srf_mg_mg: simulation 67 of 100...
srf_mg_mg: simulation 68 of 100...
srf_mg_mg: simulation 69 of 100...
srf_mg_mg: simulation 70 of 100...
srf_mg_mg: simulation 71 of 100...
srf_mg_mg: simulation 72 of 100...
srf_mg_mg: simulation 73 of 100...
srf_mg_mg: simulation 74 of 100...
srf_mg_mg: simulation 75 of 100...
srf_mg_mg: simulation 76 of 100...
srf_mg_mg: simulation 77 of 100...
srf_mg_mg: simulation 78 of 100...
srf_mg_mg: simulation 79 of 100...
srf_mg_mg: simulation 80 of 100...
srf_mg_mg: simulation 81 of 100...
srf_mg_mg: simulation 82 of 100...
srf_mg_mg: simulation 83 of 100...
srf_mg_mg: simulation 84 of 100...
srf_mg_mg: simulation 85 of 100...
srf_mg_mg: simulation 86 of 100...
srf_mg_mg: simulation 87 of 100...
srf_mg_mg: simulation 88 of 100...
srf_mg_mg: simulation 89 of 100...
srf_mg_mg: simulation 90 of 100...
srf_mg_mg: simulation 91 of 100...
srf_mg_mg: simulation 92 of 100...
srf_mg_mg: simulation 93 of 100...
srf_mg_mg: simulation 94 of 100...
srf_mg_mg: simulation 95 of 100...
srf_mg_mg: simulation 96 of 100...
srf_mg_mg: simulation 97 of 100...
srf_mg_mg: simulation 98 of 100...
srf_mg_mg: simulation 99 of 100...
srf_mg_mg: simulation 100 of 100...
Elapsed time: 15 sec
Number of realizations generated: 100
Conditioning data honoured ? False
Conditioning data, ok at: 67.4 %

[15]:

# Statistics (proportion map)
# ---------------------------
im_Z_mean = gn.img.imageContStat(im_Z, op='mean')
im_Z_std  = gn.img.imageContStat(im_Z, op='std')

# Plot
# ----
plt.subplots(1,2, sharex=True, sharey=True, figsize=(10,5))
plt.subplot(1,2,1)
gn.imgplot.drawImage2D(im_Z_mean, **im_Z_display)
plt.title(f'Mean map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.subplot(1,2,2)
gn.imgplot.drawImage2D(im_Z_std, cmap='viridis')
plt.title(f'Standard deviation map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.show()

../_images/notebooks_ex_srf_mg_mg_20_0.png

Example : conditional 2D SRF with control point: Y(mean_T) imposed

As in the latent field $T$ the area with value close to the mean is well connected, imposing $Y(mean\_T) = y_0$ as additional contraint on the coding process implies that the area with value close to $y_0$ will be well connected in the resulting SRF $Z$ .

[16]:

# Parameters for display (used further)
im_T_display={'cmap':'gist_ncar'}
im_Z_display={'cmap':'terrain'}

[17]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 210, 1    # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T1, T2 (latent fields)
# -------------------------------------
r_T = 1.0*np.array([25.0, 25.0])
w_T = 1.0
nu_T = 1.5
cov_model_T = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T, r) for r in r_T]), 'nu':nu_T}),
    ], alpha=0.0, name='cov_model_T')

# Mean of T
mean_T = 0.0

# Covariance model for Y
# ----------------------
nu_Y = 3 # matern covariance with nu=3 is close to Gaussian covariance
r_Y = 2.0*np.sqrt(w_T)
w_Y = 4.0
cov_model_Y = gn.covModel.CovModel1D(elem=[
        ('matern', {'w':w_Y, 'r':gn.covModel.cov_matern_get_r_param(nu_Y, r_Y), 'nu':nu_Y}),
        ], name='')
cov_Y_0 = cov_model_Y.func()([0.])[0]  # sill (w_Y)
std_Y_0 = np.sqrt(cov_Y_0)

mean_Y = -3.0 # Mean of Y

# 1D-grid resolution for Y (coding process)
spacing_Y=.0001

# SRF simulation (Z = Y(T))
# -------------------------
# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
# Conditioning data
x = np.array([[37.25, 25.25],
              [67.25, 24.25],
              [50.25, 52.25],
              [36.25, 80.25],
              [66.25, 81.25]])
v = np.array([-5. , -5., -3., -1., -1.])
#np.random.seed(123)
#nhd = 30
#x = np.array((ox + np.random.random(nhd)*nx*sx, oy + np.random.random(nhd)*ny*sy)).T
#v = np.random.choice(categVal, replace=True, size=nhd)
#v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)

# Additional constraint on Y (control points)
t_constraint = mean_T
yt_constraint = mean_Y + 1.2 * std_Y_0 # high value

# Target distribution
target_distrib = None

# Number of realizations and seed
nreal = 3
seed_sim = 232
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T, Y = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    target_distrib=target_distrib,
    nreal=nreal,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 3...
srf_mg_mg:   ... sim 1 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 2 of 3...
srf_mg_mg:   ... sim 2 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 3 of 3...
srf_mg_mg:   ... sim 3 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 100 of 100...
Elapsed time: 0.45 sec
Number of realizations generated: 3
Conditioning data honoured ? False
Conditioning data, ok at: 46.666666666666664 %

[18]:

# Plot results
# ------------
ireal = 0 # realization to plot

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

fig = plt.figure(figsize=(16, 8), constrained_layout=True)
gs = GridSpec(5, 4, figure=fig)
axZ = fig.add_subplot(gs[0:4, 0:2]) # ax for Z
axT = fig.add_subplot(gs[0:4, 2:4]) # ax for T
axY = fig.add_subplot(gs[4:5, 0:4]) # ax for Y

# Z
plt.sca(axZ)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.title('Z')

# T
plt.sca(axT)
gn.imgplot.drawImage2D(im_T, iv=ireal, **im_T_display)
# Add conditioning location
if x is not None:
    yc = im_T.oy+0.5*im_T.sy
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], s=80, color='grey', linewidths=1)

plt.title('T')

# Y
plt.sca(axY)

Y_nx = Y[ireal][0]
Y_sx = Y[ireal][1]
Y_ox = Y[ireal][2]
Y_val = Y[ireal][3]
y_abscissa = Y_ox + (np.arange(Y_nx)+0.5)*Y_sx
plt.plot(y_abscissa, Y_val)

# Add conditioning location
if x is not None:
    jx = (x[:,0]-im_T.oy)/im_T.sy
    jy = (x[:,1]-im_T.oy)/im_T.sy
    jz = np.zeros(x.shape[0])   # (x[:,2]-im_T.oz)/im_T.sz

    ix = [int(a) for a in jx]
    iy = [int(a) for a in jy]
    iz = [int(a) for a in jz]

    # round to lower index if between two grid nodes
    ix = [a-1 if a == b and a > 0 else a for a, b in zip(ix, jx)]
    iy = [a-1 if a == b and a > 0 else a for a, b in zip(iy, jy)]
    iz = [a-1 if a == b and a > 0 else a for a, b in zip(iz, jz)]

    for i, (ixx, iyy, izz) in enumerate(zip(ix, iy, iz)):
        plt.scatter(im_T.val[ireal, izz, iyy, ixx], v[i], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

# Add control point
if t_constraint is not None:
    plt.scatter(t_constraint, yt_constraint, marker='.', color='purple', s=100)

plt.title('Y(t)')

plt.show()

../_images/notebooks_ex_srf_mg_mg_24_0.png

[19]:

# Plot 3 realizations of Z
plt.subplots(1,3, sharex=True, sharey=True, figsize=(16,8))
plt.subplot(1,3,1)
for j in range(3):
    plt.subplot(1,3,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
       plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()

../_images/notebooks_ex_srf_mg_mg_25_0.png

100 realizations (same setup)

[20]:

# Number of realizations and seed
nreal = 100
seed_sim = 1345

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    nreal=nreal,
    full_output=False,
    verbose=2,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 100...
srf_mg_mg: simulation 2 of 100...
srf_mg_mg: simulation 3 of 100...
srf_mg_mg: simulation 4 of 100...
srf_mg_mg: WARNING: conditioning points for Y falling in a same grid cell have been aggregated (mean) (real index 3)
srf_mg_mg: simulation 5 of 100...
srf_mg_mg: simulation 6 of 100...
srf_mg_mg: simulation 7 of 100...
srf_mg_mg: simulation 8 of 100...
srf_mg_mg: simulation 9 of 100...
srf_mg_mg: simulation 10 of 100...
srf_mg_mg: simulation 11 of 100...
srf_mg_mg: simulation 12 of 100...
srf_mg_mg: simulation 13 of 100...
srf_mg_mg: simulation 14 of 100...
srf_mg_mg: simulation 15 of 100...
srf_mg_mg: simulation 16 of 100...
srf_mg_mg: simulation 17 of 100...
srf_mg_mg: simulation 18 of 100...
srf_mg_mg: simulation 19 of 100...
srf_mg_mg: simulation 20 of 100...
srf_mg_mg: simulation 21 of 100...
srf_mg_mg: simulation 22 of 100...
srf_mg_mg: simulation 23 of 100...
srf_mg_mg: simulation 24 of 100...
srf_mg_mg: simulation 25 of 100...
srf_mg_mg: simulation 26 of 100...
srf_mg_mg: simulation 27 of 100...
srf_mg_mg: simulation 28 of 100...
srf_mg_mg: simulation 29 of 100...
srf_mg_mg: simulation 30 of 100...
srf_mg_mg: simulation 31 of 100...
srf_mg_mg: simulation 32 of 100...
srf_mg_mg: simulation 33 of 100...
srf_mg_mg: simulation 34 of 100...
srf_mg_mg: simulation 35 of 100...
srf_mg_mg: simulation 36 of 100...
srf_mg_mg: simulation 37 of 100...
srf_mg_mg: simulation 38 of 100...
srf_mg_mg: simulation 39 of 100...
srf_mg_mg: simulation 40 of 100...
srf_mg_mg: simulation 41 of 100...
srf_mg_mg: simulation 42 of 100...
srf_mg_mg: simulation 43 of 100...
srf_mg_mg: simulation 44 of 100...
srf_mg_mg: simulation 45 of 100...
srf_mg_mg: simulation 46 of 100...
srf_mg_mg: simulation 47 of 100...
srf_mg_mg: simulation 48 of 100...
srf_mg_mg: simulation 49 of 100...
srf_mg_mg: simulation 50 of 100...
srf_mg_mg: simulation 51 of 100...
srf_mg_mg: simulation 52 of 100...
srf_mg_mg: simulation 53 of 100...
srf_mg_mg: simulation 54 of 100...
srf_mg_mg: simulation 55 of 100...
srf_mg_mg: simulation 56 of 100...
srf_mg_mg: simulation 57 of 100...
srf_mg_mg: simulation 58 of 100...
srf_mg_mg: simulation 59 of 100...
srf_mg_mg: simulation 60 of 100...
srf_mg_mg: simulation 61 of 100...
srf_mg_mg: simulation 62 of 100...
srf_mg_mg: simulation 63 of 100...
srf_mg_mg: simulation 64 of 100...
srf_mg_mg: simulation 65 of 100...
srf_mg_mg: simulation 66 of 100...
srf_mg_mg: simulation 67 of 100...
srf_mg_mg: simulation 68 of 100...
srf_mg_mg: simulation 69 of 100...
srf_mg_mg: simulation 70 of 100...
srf_mg_mg: simulation 71 of 100...
srf_mg_mg: simulation 72 of 100...
srf_mg_mg: simulation 73 of 100...
srf_mg_mg: simulation 74 of 100...
srf_mg_mg: simulation 75 of 100...
srf_mg_mg: simulation 76 of 100...
srf_mg_mg: simulation 77 of 100...
srf_mg_mg: simulation 78 of 100...
srf_mg_mg: simulation 79 of 100...
srf_mg_mg: simulation 80 of 100...
srf_mg_mg: simulation 81 of 100...
srf_mg_mg: simulation 82 of 100...
srf_mg_mg: simulation 83 of 100...
srf_mg_mg: simulation 84 of 100...
srf_mg_mg: simulation 85 of 100...
srf_mg_mg: simulation 86 of 100...
srf_mg_mg: simulation 87 of 100...
srf_mg_mg: simulation 88 of 100...
srf_mg_mg: simulation 89 of 100...
srf_mg_mg: simulation 90 of 100...
srf_mg_mg: simulation 91 of 100...
srf_mg_mg: simulation 92 of 100...
srf_mg_mg: simulation 93 of 100...
srf_mg_mg: simulation 94 of 100...
srf_mg_mg: simulation 95 of 100...
srf_mg_mg: simulation 96 of 100...
srf_mg_mg: simulation 97 of 100...
srf_mg_mg: simulation 98 of 100...
srf_mg_mg: simulation 99 of 100...
srf_mg_mg: simulation 100 of 100...
Elapsed time: 15 sec
Number of realizations generated: 100
Conditioning data honoured ? False
Conditioning data, ok at: 56.8 %

[21]:

# Statistics (proportion map)
# ---------------------------
im_Z_mean = gn.img.imageContStat(im_Z, op='mean')
im_Z_std  = gn.img.imageContStat(im_Z, op='std')

# Plot
# ----
plt.subplots(1,2, sharex=True, sharey=True, figsize=(10,5))
plt.subplot(1,2,1)
gn.imgplot.drawImage2D(im_Z_mean, **im_Z_display)
plt.title(f'Mean map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.subplot(1,2,2)
gn.imgplot.drawImage2D(im_Z_std, cmap='viridis')
plt.title(f'Standard deviation map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.show()

../_images/notebooks_ex_srf_mg_mg_28_0.png

Example : conditional 3D SRF

[22]:

# Parameters for display (used further)
im_T_display={'cmap':'gist_ncar'}
im_Z_display={'cmap':'terrain'}

[23]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 120, 110, 55     # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T (latent field)
# -------------------------------------
r_T = 1.0*np.array([20.0, 15.0, 10.0])
w_T = 1.0
nu_T = 1.5
cov_model_T = gn.covModel.CovModel3D(elem=[
    ('matern', {'w':w_T, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T, r) for r in r_T]), 'nu':nu_T}),
    ], alpha=0.0, name='cov_model_T')

# Mean of T
mean_T = 0.0

# Covariance model for Y
# ----------------------
nu_Y = 3 # matern covariance with nu=3 is close to Gaussian covariance
r_Y = 2.0*np.sqrt(w_T)
w_Y = 4.0
cov_model_Y = gn.covModel.CovModel1D(elem=[
        ('matern', {'w':w_Y, 'r':gn.covModel.cov_matern_get_r_param(nu_Y, r_Y), 'nu':nu_Y}),
        ], name='')
cov_Y_0 = cov_model_Y.func()([0.])[0]  # sill (w_Y)
std_Y_0 = np.sqrt(cov_Y_0)

mean_Y = -3.0 # Mean of Y

# 1D-grid resolution for Y (coding process)
spacing_Y=.00001

# SRF simulation (Z = Y(T))
# -------------------------
# ----- Parameters -----
# Conditioning data
x = np.array([[17.25, 15.25, 15.5],
              [47.25, 14.25, 23.5],
              [31.25, 32.25, 10.5],
              [18.25, 49.25, 20.5],
              [46.25, 48.25, 40.5]])
v = np.array([-5. , -5., -3., -1., -1.])

# Additional constraint on Y (control points)
t_constraint = None
yt_constraint = None

# Target distribution
target_distrib = None
# ----------------------

# ----------------------
# Number of realizations and seed
nreal = 3
seed_sim = 232
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T, Y = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny, nz), (sx, sy, sz), (ox, oy, oz),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    #algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    #algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    target_distrib=target_distrib,
    mh_iter=100,
    nreal=nreal,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T.shape[0], val=T)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], xx[2], sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 3...
srf_mg_mg:   ... sim 1 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 1 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 2 of 3...
srf_mg_mg:   ... sim 2 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 2 of 3: MH iter 100 of 100...
srf_mg_mg: simulation 3 of 3...
srf_mg_mg:   ... sim 3 of 3: MH iter 1 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 2 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 3 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 4 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 5 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 6 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 7 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 8 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 9 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 10 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 11 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 12 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 13 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 14 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 15 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 16 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 17 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 18 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 19 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 20 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 21 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 22 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 23 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 24 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 25 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 26 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 27 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 28 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 29 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 30 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 31 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 32 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 33 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 34 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 35 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 36 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 37 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 38 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 39 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 40 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 41 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 42 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 43 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 44 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 45 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 46 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 47 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 48 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 49 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 50 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 51 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 52 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 53 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 54 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 55 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 56 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 57 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 58 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 59 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 60 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 61 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 62 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 63 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 64 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 65 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 66 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 67 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 68 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 69 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 70 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 71 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 72 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 73 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 74 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 75 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 76 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 77 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 78 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 79 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 80 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 81 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 82 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 83 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 84 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 85 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 86 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 87 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 88 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 89 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 90 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 91 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 92 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 93 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 94 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 95 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 96 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 97 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 98 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 99 of 100...
srf_mg_mg:   ... sim 3 of 3: MH iter 100 of 100...
Elapsed time: 6.4 sec
Number of realizations generated: 3
Conditioning data honoured ? False
Conditioning data, ok at: 93.33333333333333 %

[24]:

# Plot Z and T for one real
# -------------------------
ireal = 0 # index of the realization

# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(1,2), window_size=(1024, 512), notebook=False)
# ... inline
pp = pv.Plotter(shape=(1,2), window_size=(1024, 512))

if x is not None:
    # data points to be added to 3D plot
    data_points = pv.PolyData(x)

    # ... set color for data points according to their value
    cmap = plt.get_cmap(im_Z_display['cmap']) # color map
    cmin = im_Z.val[ireal].min()
    cmax = im_Z.val[ireal].max()
    data_points_col = [cmap((vv-cmin)/(cmax-cmin)) for vv in v] # color for data points according to their value
    data_points['colors'] = data_points_col

pp.subplot(0, 0)
gn.imgplot3d.drawImage3D_slice(
    im_Z,
    plotter=pp, cmin=cmin, cmax=cmax,
    slice_normal_x=im_Z.ox+0.5*im_Z.nx*im_Z.sx,
    slice_normal_y=im_Z.oy+0.5*im_Z.ny*im_Z.sy,
    slice_normal_z=im_Z.oz+0.5*im_Z.nz*im_Z.sz,
    **im_Z_display,
    text='Z',
    scalar_bar_kwargs={'title':'', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.subplot(0, 1)
gn.imgplot3d.drawImage3D_slice(
    im_T,
    plotter=pp,
    slice_normal_x=im_T.ox+0.5*im_T.nx*im_T.sx,
    slice_normal_y=im_T.oy+0.5*im_T.ny*im_T.sy,
    slice_normal_z=im_T.oz+0.5*im_T.nz*im_T.sz,
    **im_T_display,
    text='T',
    scalar_bar_kwargs={'title':' ', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, color='grey', point_size=12., render_points_as_spheres=True)
# note: distinct title for scalar bar, so that it will be displayed!

pp.link_views()

pp.show(cpos=(360, 265, 110)) # position of the camera can be specified

../_images/notebooks_ex_srf_mg_mg_32_0.png

[25]:

# Plot Y(t)
# ---------
plt.figure(figsize=(15, 2))

Y_nx = Y[ireal][0]
Y_sx = Y[ireal][1]
Y_ox = Y[ireal][2]
Y_val = Y[ireal][3]
y_abscissa = Y_ox + (np.arange(Y_nx)+0.5)*Y_sx
plt.plot(y_abscissa, Y_val)

# Add conditioning location
if x is not None:
    jx = (x[:,0]-im_T.oy)/im_T.sy
    jy = (x[:,1]-im_T.oy)/im_T.sy
    jz = (x[:,2]-im_T.oz)/im_T.sz

    ix = [int(a) for a in jx]
    iy = [int(a) for a in jy]
    iz = [int(a) for a in jz]

    # round to lower index if between two grid nodes
    ix = [a-1 if a == b and a > 0 else a for a, b in zip(ix, jx)]
    iy = [a-1 if a == b and a > 0 else a for a, b in zip(iy, jy)]
    iz = [a-1 if a == b and a > 0 else a for a, b in zip(iz, jz)]

    for i, (ixx, iyy, izz) in enumerate(zip(ix, iy, iz)):
        plt.scatter(im_T.val[ireal, izz, iyy, ixx], v[i], marker='o', color='red', s=80, linewidths=1)

# Add control point
if t_constraint is not None:
    plt.scatter(t_constraint, yt_constraint, marker='.', color='purple', s=100)

plt.title('Y(t)')

plt.show()

../_images/notebooks_ex_srf_mg_mg_33_0.png

[26]:

# Plot 3 realizations of Z

# ... set color for data points according to their value
cmap = plt.get_cmap(im_Z_display['cmap']) # color map
cmin = im_Z.val.min() # min hard data value
cmax = im_Z.val.max() # max hard data value
data_points_col = [cmap((vv-cmin)/(cmax-cmin)) for vv in v] # color for data points according to their value
data_points['colors'] = data_points_col


# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(1,3), window_size=(1200, 500), notebook=False)
# ... inline
pp = pv.Plotter(shape=(1,3), window_size=(1200, 500))

for ireal in range(3):
    pp.subplot(0, ireal)
    gn.imgplot3d.drawImage3D_slice(im_Z, iv=ireal, plotter=pp, cmin=cmin, cmax=cmax,
                                   slice_normal_x = ox + 0.5*sx*nx,
                                   slice_normal_y = oy + 0.5*sy*ny,
                                   slice_normal_z = oz + 0.5*sz*nz,
                                   **im_Z_display, text=f'Z (real #{ireal})')

    pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.link_views()
pp.show(cpos=(360, 265, 110)) # position of the camera can be specified

../_images/notebooks_ex_srf_mg_mg_34_0.png

20 realizations (same setup)

[27]:

# Number of realizations and seed
nreal = 20
seed_sim = 232

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.srf.srf_mg_mg(
    cov_model_T, cov_model_Y, (nx, ny, nz), (sx, sy, sz), (ox, oy, oz),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T='fft', params_T={'mean':mean_T},
    algo_Y='fft', params_Y={'mean':mean_Y},
    # algo_T='classic', params_T={'mean':mean_T, 'nneighborMax':24}, # alternative algo for T
    # algo_Y='classic', params_Y={'mean':mean_Y, 'nneighborMax':12}, # alternative algo for Y
    target_distrib=target_distrib,
    nreal=nreal,
    full_output=False,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], xx[2], sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_mg_mg: simulation 1 of 20...
srf_mg_mg:   ... sim 1 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 1 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 2 of 20...
srf_mg_mg:   ... sim 2 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 2 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 3 of 20...
srf_mg_mg:   ... sim 3 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 3 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 4 of 20...
srf_mg_mg:   ... sim 4 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 4 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 5 of 20...
srf_mg_mg:   ... sim 5 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 5 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 6 of 20...
srf_mg_mg:   ... sim 6 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 6 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 7 of 20...
srf_mg_mg:   ... sim 7 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 7 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 8 of 20...
srf_mg_mg:   ... sim 8 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 8 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 9 of 20...
srf_mg_mg:   ... sim 9 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 9 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 10 of 20...
srf_mg_mg:   ... sim 10 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 10 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 11 of 20...
srf_mg_mg:   ... sim 11 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 11 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 12 of 20...
srf_mg_mg:   ... sim 12 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 12 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 13 of 20...
srf_mg_mg:   ... sim 13 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 13 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 14 of 20...
srf_mg_mg:   ... sim 14 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 14 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 15 of 20...
srf_mg_mg:   ... sim 15 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 15 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 16 of 20...
srf_mg_mg:   ... sim 16 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 16 of 20: MH iter 100 of 100...
srf_mg_mg:   ... conditional simulation of Y failed
srf_mg_mg: simulation 17 of 20...
srf_mg_mg:   ... sim 17 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 17 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 18 of 20...
srf_mg_mg:   ... sim 18 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 18 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 19 of 20...
srf_mg_mg:   ... sim 19 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 19 of 20: MH iter 100 of 100...
srf_mg_mg: simulation 20 of 20...
srf_mg_mg:   ... sim 20 of 20: MH iter 1 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 2 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 3 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 4 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 5 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 6 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 7 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 8 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 9 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 10 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 11 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 12 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 13 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 14 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 15 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 16 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 17 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 18 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 19 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 20 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 21 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 22 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 23 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 24 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 25 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 26 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 27 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 28 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 29 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 30 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 31 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 32 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 33 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 34 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 35 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 36 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 37 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 38 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 39 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 40 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 41 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 42 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 43 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 44 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 45 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 46 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 47 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 48 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 49 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 50 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 51 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 52 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 53 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 54 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 55 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 56 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 57 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 58 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 59 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 60 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 61 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 62 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 63 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 64 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 65 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 66 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 67 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 68 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 69 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 70 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 71 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 72 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 73 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 74 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 75 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 76 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 77 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 78 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 79 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 80 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 81 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 82 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 83 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 84 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 85 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 86 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 87 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 88 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 89 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 90 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 91 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 92 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 93 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 94 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 95 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 96 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 97 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 98 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 99 of 100...
srf_mg_mg:   ... sim 20 of 20: MH iter 100 of 100...
srf_mg_mg: WARNING: some realization failed (missing)
Elapsed time: 46 sec
Number of realizations generated: 19
Conditioning data honoured ? False
Conditioning data, ok at: 96.84210526315789 %

[28]:

# Statistics (proportion map)
# ---------------------------
im_Z_mean = gn.img.imageContStat(im_Z, op='mean')
im_Z_std  = gn.img.imageContStat(im_Z, op='std')

# Plot mean and std map of all realization (Z)
# --------------------------------------------
# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(1,2), window_size=(1024, 512), notebook=False)
# ... inline
pp = pv.Plotter(shape=(1,2), window_size=(1024, 512))

if x is not None:
    # data points to be added to 3D plot
    data_points = pv.PolyData(x)

pp.subplot(0, 0)
gn.imgplot3d.drawImage3D_slice(
    im_Z_mean,
    plotter=pp,
    slice_normal_x=im_Z.ox+0.5*im_Z.nx*im_Z.sx,
    slice_normal_y=im_Z.oy+0.5*im_Z.ny*im_Z.sy,
    slice_normal_z=im_Z.oz+0.5*im_Z.nz*im_Z.sz,
    **im_Z_display,
    text=f'mean of Z ({im_Z.nv} real.)',
    scalar_bar_kwargs={'title':'', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, color='grey', point_size=12., render_points_as_spheres=True)

pp.subplot(0, 1)
gn.imgplot3d.drawImage3D_slice(
    im_Z_std,
    plotter=pp,
    slice_normal_x=im_T.ox+0.5*im_T.nx*im_T.sx,
    slice_normal_y=im_T.oy+0.5*im_T.ny*im_T.sy,
    slice_normal_z=im_T.oz+0.5*im_T.nz*im_T.sz,
    cmap='viridis',
    text=f'std of Z ({im_Z.nv} real.)',
    scalar_bar_kwargs={'title':' ', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, color='grey', point_size=12., render_points_as_spheres=True)
# note: distinct title for scalar bar, so that it will be displayed!

pp.link_views()

pp.show(cpos=(360, 265, 110)) # position of the camera can be specified

../_images/notebooks_ex_srf_mg_mg_37_0.png

Additional example - SRF based on two latent fields

Here we consider the directing function $T=(T_1, T_2)$ , where, $T_1, T_2: \mathbb{R}^d \longrightarrow \mathbb{R}$ , are multi-Gaussian fields and the coding process a 2D multi-Gausian field, $Y:\mathbb{R^2}\longrightarrow \mathbb{R}$ . The processes $T_1, T_2$ and $Y$ are independent, and $Z=Y(T)= Y(T_1, T_2)$ .

Function `geone.srf.srf_bimg_mg`

This function allows to generate continuous realizations in 1D, 2D and 3D (see examples below) of SRF with two multiGaussian latent fields and 2D multiGaussian random process as coding process. Conditional and unconditional simulations can be done. For conditional simulation, a kind of Metropolis-Hasting algorithm is used (see help of the function); if conditioning fails, it is possible to get less realizations than the specified number (warning is displayed depending on the verbose keyword argument). Moreover, control point(s) on the coding process can be added, typically imposing the value of $Y$ at the mean of $(T_1, T_2)$ .

In full output mode (keyword argument full_output=True (default)), in addition to the resulting $Z$ fields, are retrieved in output: the latent fields ( $T_1, T_2$ ) and the 2D field ( $Y$ ) of all realizations.

Example in 2D

[29]:

# Parameters for display (used further)
im_T1_display={'cmap':'gist_ncar'}
im_T2_display={'cmap':'gist_ncar'}
im_Y_display={'cmap':'rainbow'}
im_Z_display={'cmap':'terrain'}

[30]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 210, 1    # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T1, T2 (latent fields)
# -------------------------------------------
# T1
r_T1 = 1.0*np.array([35.0, 35.0])
w_T1 = 1.0
nu_T1 = 1.5
cov_model_T1 = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T1, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T1, r) for r in r_T1]), 'nu':nu_T1}),
    ], alpha=0.0, name='cov_model_T1')
cov_T1_0 = cov_model_T1.func()([0.,0.])[0]  # sill (w_T1)
std_T1_0 = np.sqrt(cov_T1_0)

mean_T1 = 0.0 # Mean of T1

# T2
r_T2 = 1.0*np.array([50.0, 10.0])
w_T2 = 1.0
nu_T2 = 1.5
cov_model_T2 = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T2, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T2, r) for r in r_T2]), 'nu':nu_T2}),
    ], alpha=-45.0, name='cov_model_T2')
cov_T2_0 = cov_model_T2.func()([0.,0.])[0]  # sill (w_T2)
std_T2_0 = np.sqrt(cov_T2_0)

mean_T2 = 0.0 # Mean of T2

# Covariance model for Y
# ----------------------
nu_Y = 3 # matern covariance with nu=3 is close to Gaussian covariance
r_Y = 1.0*np.array([1.5, 1.5])
w_Y = 4.0
cov_model_Y = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_Y, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_Y, r) for r in r_Y]), 'nu':nu_Y}),
    ], alpha=0.0, name='cov_model_Y')
cov_Y_0 = cov_model_Y.func()([0., 0.])[0]  # sill (w_Y)
std_Y_0 = np.sqrt(cov_Y_0)

mean_Y = -3.0 # Mean of Y

# 2D-grid resolution for Y (coding process)
# -----------------------------------------
spacing_Y=np.array([0.008, 0.008])


# SRF simulation (Z = Y(T1, T2))
# ------------------------------
# ----- Parameters -----
# Conditioning data
#x = None
#v = None
x = np.array([[37.25, 25.25],
              [67.25, 24.25],
              [50.25, 52.25],
              [36.25, 80.25],
              [66.25, 81.25]])
v = np.array([-5. , -5., -3., -1., -1.])

# Additional constraint on Y (control points)
#t_constraint = None
#yt_constraint = None
t_constraint = np.array([mean_T1, mean_T2])
yt_constraint = mean_Y + 1.2*std_Y_0

# Number of realizations and seed
nreal = 3
seed_sim = 134
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T1, T2, Y = gn.srf.srf_bimg_mg(
    cov_model_T1, cov_model_T2, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    algo_Y='fft', params_Y={'mean':mean_Y, 'rangeFactorForExtensionMin':2},
    nreal=nreal,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T1 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T1.shape[0], val=T1)
im_T2 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T2.shape[0], val=T2)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        #print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

/home/julien/miniconda3/envs/py313/lib/python3.13/site-packages/geone/covModel.py:380: RuntimeWarning: invalid value encountered in scalar power
  u1 = (0.5*u)**nu

srf_bimg_mg: simulation 1 of 3...
srf_bimg_mg:   ... sim 1 of 3: MH iter 1 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 2 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 3 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 4 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 5 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 6 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 7 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 8 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 9 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 10 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 11 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 12 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 13 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 14 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 15 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 16 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 17 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 18 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 19 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 20 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 21 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 22 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 23 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 24 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 25 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 26 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 27 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 28 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 29 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 30 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 31 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 32 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 33 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 34 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 35 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 36 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 37 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 38 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 39 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 40 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 41 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 42 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 43 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 44 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 45 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 46 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 47 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 48 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 49 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 50 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 51 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 52 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 53 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 54 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 55 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 56 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 57 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 58 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 59 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 60 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 61 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 62 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 63 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 64 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 65 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 66 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 67 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 68 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 69 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 70 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 71 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 72 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 73 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 74 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 75 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 76 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 77 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 78 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 79 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 80 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 81 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 82 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 83 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 84 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 85 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 86 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 87 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 88 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 89 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 90 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 91 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 92 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 93 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 94 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 95 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 96 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 97 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 98 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 99 of 100...
srf_bimg_mg:   ... sim 1 of 3: MH iter 100 of 100...
srf_bimg_mg: simulation 2 of 3...
srf_bimg_mg:   ... sim 2 of 3: MH iter 1 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 2 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 3 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 4 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 5 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 6 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 7 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 8 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 9 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 10 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 11 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 12 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 13 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 14 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 15 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 16 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 17 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 18 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 19 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 20 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 21 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 22 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 23 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 24 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 25 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 26 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 27 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 28 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 29 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 30 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 31 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 32 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 33 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 34 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 35 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 36 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 37 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 38 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 39 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 40 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 41 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 42 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 43 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 44 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 45 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 46 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 47 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 48 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 49 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 50 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 51 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 52 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 53 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 54 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 55 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 56 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 57 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 58 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 59 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 60 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 61 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 62 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 63 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 64 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 65 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 66 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 67 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 68 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 69 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 70 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 71 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 72 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 73 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 74 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 75 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 76 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 77 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 78 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 79 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 80 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 81 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 82 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 83 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 84 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 85 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 86 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 87 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 88 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 89 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 90 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 91 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 92 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 93 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 94 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 95 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 96 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 97 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 98 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 99 of 100...
srf_bimg_mg:   ... sim 2 of 3: MH iter 100 of 100...
srf_bimg_mg: simulation 3 of 3...
srf_bimg_mg:   ... sim 3 of 3: MH iter 1 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 2 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 3 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 4 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 5 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 6 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 7 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 8 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 9 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 10 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 11 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 12 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 13 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 14 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 15 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 16 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 17 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 18 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 19 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 20 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 21 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 22 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 23 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 24 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 25 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 26 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 27 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 28 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 29 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 30 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 31 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 32 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 33 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 34 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 35 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 36 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 37 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 38 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 39 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 40 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 41 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 42 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 43 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 44 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 45 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 46 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 47 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 48 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 49 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 50 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 51 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 52 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 53 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 54 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 55 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 56 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 57 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 58 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 59 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 60 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 61 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 62 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 63 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 64 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 65 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 66 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 67 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 68 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 69 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 70 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 71 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 72 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 73 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 74 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 75 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 76 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 77 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 78 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 79 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 80 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 81 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 82 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 83 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 84 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 85 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 86 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 87 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 88 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 89 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 90 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 91 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 92 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 93 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 94 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 95 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 96 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 97 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 98 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 99 of 100...
srf_bimg_mg:   ... sim 3 of 3: MH iter 100 of 100...
Elapsed time: 6.9 sec
Conditioning data honoured ? False
Conditioning data, peak-to-peak diff: 0.07328576583262647

[31]:

# Plot results
# ------------
ireal = 0 # realization to plot

# Fill image for Y
im_Y = gn.img.Img(*Y[ireal][0], 1, *Y[ireal][1], 1., *Y[ireal][2], 0., nv=1, val=Y[ireal][3])

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

plt.subplots(2,2, figsize=(15, 12))

# T1
plt.subplot(2,2,1)
gn.imgplot.drawImage2D(im_T1, iv=ireal, **im_T1_display)
# Add conditioning location
if x is not None:
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], color='black', s=80, linewidths=1)

plt.title('T1')

# Z
plt.subplot(2,2,2)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    zmin, zmax = im_Z.val[ireal].min(), im_Y.val.max()
    cmap = plt.get_cmap(im_Z_display['cmap'])
    v_col = [cmap((vv-zmin)/(zmax-zmin)) for vv in v] # for plotting control point
    plt.scatter(x[:,0], x[:,1], marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)

plt.title('Z')

# Y
plt.subplot(2,2,3)
gn.imgplot.drawImage2D(im_Y, **im_Y_display)
plt.xlabel('T1 value')
plt.ylabel('T2 value')
plt.title(f'Y: {im_Y.nx} x {im_Y.ny} cell')

# Add control points
if yt_constraint is not None:
    t_constraint = np.atleast_2d(t_constraint)
    yt_constraint = np.atleast_1d(yt_constraint)
    ymin, ymax = im_Y.val.min(), im_Y.val.max()
    cmap = plt.get_cmap(im_Y_display['cmap'])
    yt_constraint_col = [cmap((yy-ymin)/(ymax-ymin)) for yy in yt_constraint] # for plotting control point
    plt.scatter(t_constraint[:,0], t_constraint[:,1], marker='o', s=50, color=yt_constraint_col, edgecolors='black', linewidths=1)

# Add conditioning location
if x is not None:
    indx, indy, indz = gn.img.pointToGridIndex(x[:,0], x[:,1], np.zeros_like(x[:,0]), sx, sy, sz, ox, oy, oz)
    y1 = np.array([im_T1.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    y2 = np.array([im_T2.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    for i in range(len(y1)):
        plt.scatter(y1[i], y2[i], marker=marker_loc[i%len(marker_loc)], color='black', s=80, linewidths=1)

# T2
plt.subplot(2,2,4)
gn.imgplot.drawImage2D(im_T2, iv=ireal, **im_T2_display)
# Add conditioning location
if x is not None:
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], color='black', s=80, linewidths=1)

plt.title('T2')

plt.show()

../_images/notebooks_ex_srf_mg_mg_43_0.png

[32]:

# Plot 3 realizations of Z
plt.subplots(1,3, sharex=True, sharey=True, figsize=(16,8))
plt.subplot(1,3,1)
for j in range(3):
    plt.subplot(1,3,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
       plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()

../_images/notebooks_ex_srf_mg_mg_44_0.png

20 realizations (same setup)

[33]:

# Number of realizations and seed
nreal = 20
seed_sim = 134

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.srf.srf_bimg_mg(
    cov_model_T1, cov_model_T2, cov_model_Y, (nx, ny), (sx, sy), (ox, oy),
    spacing_Y=spacing_Y,
    x=x, v=v,
    t=t_constraint, yt=yt_constraint,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    algo_Y='fft', params_Y={'mean':mean_Y, 'rangeFactorForExtensionMin':2},

    nreal=nreal,
    full_output=False,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(np.isclose(im_Z_value_at_x, v))
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        #print('Conditioning data, ok at:', 100*np.mean(np.isclose(im_Z_value_at_x, v)), '%')

srf_bimg_mg: simulation 1 of 20...
srf_bimg_mg:   ... sim 1 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 1 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 2 of 20...
srf_bimg_mg:   ... sim 2 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 2 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 3 of 20...
srf_bimg_mg:   ... sim 3 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 3 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 4 of 20...
srf_bimg_mg:   ... sim 4 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 4 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 5 of 20...
srf_bimg_mg:   ... sim 5 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 5 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 6 of 20...
srf_bimg_mg:   ... sim 6 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 6 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 7 of 20...
srf_bimg_mg:   ... sim 7 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 7 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 8 of 20...
srf_bimg_mg:   ... sim 8 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 8 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 9 of 20...
srf_bimg_mg:   ... sim 9 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 9 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 10 of 20...
srf_bimg_mg:   ... sim 10 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 10 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 11 of 20...
srf_bimg_mg:   ... sim 11 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 11 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 12 of 20...
srf_bimg_mg:   ... sim 12 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 12 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 13 of 20...
srf_bimg_mg:   ... sim 13 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 13 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 14 of 20...
srf_bimg_mg:   ... sim 14 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 14 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 15 of 20...
srf_bimg_mg:   ... sim 15 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 15 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 16 of 20...
srf_bimg_mg:   ... sim 16 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 16 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 17 of 20...
srf_bimg_mg:   ... sim 17 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 17 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 18 of 20...
srf_bimg_mg:   ... sim 18 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 18 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 19 of 20...
srf_bimg_mg:   ... sim 19 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 19 of 20: MH iter 100 of 100...
srf_bimg_mg: simulation 20 of 20...
srf_bimg_mg:   ... sim 20 of 20: MH iter 1 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 2 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 3 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 4 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 5 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 6 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 7 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 8 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 9 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 10 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 11 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 12 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 13 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 14 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 15 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 16 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 17 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 18 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 19 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 20 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 21 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 22 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 23 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 24 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 25 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 26 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 27 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 28 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 29 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 30 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 31 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 32 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 33 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 34 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 35 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 36 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 37 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 38 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 39 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 40 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 41 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 42 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 43 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 44 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 45 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 46 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 47 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 48 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 49 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 50 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 51 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 52 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 53 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 54 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 55 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 56 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 57 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 58 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 59 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 60 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 61 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 62 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 63 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 64 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 65 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 66 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 67 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 68 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 69 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 70 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 71 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 72 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 73 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 74 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 75 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 76 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 77 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 78 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 79 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 80 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 81 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 82 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 83 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 84 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 85 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 86 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 87 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 88 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 89 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 90 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 91 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 92 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 93 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 94 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 95 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 96 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 97 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 98 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 99 of 100...
srf_bimg_mg:   ... sim 20 of 20: MH iter 100 of 100...
Elapsed time: 47 sec
Conditioning data honoured ? False
Conditioning data, peak-to-peak diff: 0.08967785260561345

[34]:

# Statistics (proportion map)
# ---------------------------
im_Z_mean = gn.img.imageContStat(im_Z, op='mean')
im_Z_std  = gn.img.imageContStat(im_Z, op='std')

# Plot
# ----
plt.subplots(1,2, sharex=True, sharey=True, figsize=(10,5))
plt.subplot(1,2,1)
gn.imgplot.drawImage2D(im_Z_mean, **im_Z_display)
plt.title(f'Mean map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.subplot(1,2,2)
gn.imgplot.drawImage2D(im_Z_std, cmap='viridis')
plt.title(f'Standard deviation map ({im_Z.nv} real.)')
if x is not None:
   plt.scatter(x[:,0], x[:,1], marker='+', s=80, color='black', linewidths=1)

plt.show()

../_images/notebooks_ex_srf_mg_mg_47_0.png

GEONE - Substitution Random Functions (SRF) - continuous random fields

Import what is required

Function geone.srf.srf_mg_mg

Example : conditional 1D SRF

100 realizations (same setup)

Example : conditional 2D SRF

100 realizations (same setup)

Example : conditional 2D SRF with control point: Y(mean_T) imposed

100 realizations (same setup)

Example : conditional 3D SRF

20 realizations (same setup)

Additional example - SRF based on two latent fields

Function geone.srf.srf_bimg_mg

Example in 2D

20 realizations (same setup)

Function `geone.srf.srf_mg_mg`

Function `geone.srf.srf_bimg_mg`