def link_level_bars(levels, usages, quantiles, scheme, direction, color, nnames, lnames, admat=None):
"""
Bar plots of nodes' link usage of links at different levels.
"""
if not admat:
admat = np.genfromtxt('./settings/eadmat.txt')
if color == 'solar':
cmap = Oranges_cmap
elif color == 'wind':
cmap = Blues_cmap
elif color == 'backup':
cmap = 'Greys'
nodes, links = usages.shape
usageLevels = np.zeros((nodes, levels))
usageLevelsNorm = np.zeros((nodes, levels))
for node in range(nodes):
nl = neighbor_levels(node, levels, admat)
for lvl in range(levels):
ll = link_level(nl, lvl, nnames, lnames)
ll = np.array(ll, dtype='int')
usageSum = sum(usages[node, ll])
linkSum = sum(quantiles[ll])
usageLevels[node, lvl] = usageSum / linkSum
if lvl == 0:
usageLevelsNorm[node, lvl] = usageSum
else:
usageLevelsNorm[node, lvl] = usageSum / usageLevelsNorm[node, 0]
usageLevelsNorm[:, 0] = 1
# plot all nodes
usages = usageLevels.transpose()
plt.figure(figsize=(11, 3))
ax = plt.subplot()
plt.pcolormesh(usages[:, loadOrder], cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(1, nodes, nodes))
ax.set_xticklabels(loadNames, rotation=60, ha="right", va="top", fontsize=10)
plt.ylabel('Link level')
plt.savefig(figPath + '/levels/' + str(scheme) + '/' + 'total' + '_' + str(direction) + '_' + color + '.pdf', bbox_inches='tight')
plt.close()
# plot all nodes normalised to usage of first level
usages = usageLevelsNorm.transpose()
plt.figure(figsize=(11, 3))
ax = plt.subplot()
plt.pcolormesh(usages[:, loadOrder], cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(1, nodes, nodes))
ax.set_xticklabels(loadNames, rotation=60, ha="right", va="top", fontsize=10)
plt.ylabel('Link level')
plt.savefig(figPath + '/levels/' + str(scheme) + '/' + 'total_norm_cont_' + str(direction) + '_' + color + '.pdf', bbox_inches='tight')
plt.close()
def _plot(self):
p = plt.pcolor(self.matrix, cmap=self.cmap, vmin=self.vmin, vmax=self.vmax)
plt.colorbar(p)
plt.xlim((0, self.matrix.shape[0]))
plt.ylim((0, self.matrix.shape[1]))
if self.labels is not None:
plt.xticks(numpy.arange(0.5, len(self.labels) + 0.5), self.labels, fontsize=self.fontsize, rotation=90)
plt.yticks(numpy.arange(0.5, len(self.labels) + 0.5), self.labels, fontsize=self.fontsize)
def plot_mat(self, mat, fn):
plt.matshow(asarray(mat.todense()))
plt.axis('equal')
sh = mat.shape
plt.gca().set_yticks(range(0, sh[0]))
plt.gca().set_xticks(range(0, sh[1]))
plt.grid('on')
plt.colorbar()
plt.savefig(join(self.outs_dir, fn))
plt.close()
def plot_mat(self, mat, fn):
plt.matshow(asarray(mat.todense()))
plt.axis('equal')
sh = mat.shape
plt.gca().set_yticks(range(0,sh[0]))
plt.gca().set_xticks(range(0,sh[1]))
plt.grid('on')
plt.colorbar()
plt.savefig(join(self.outs_dir, fn))
plt.close()
def show_melspectrogram(conf, mels, title='Log-frequency power spectrogram'):
librosa.display.specshow(mels,
x_axis='time',
y_axis='mel',
sr=conf.sampling_rate,
hop_length=conf.hop_length,
fmin=conf.fmin,
fmax=conf.fmax)
plt.colorbar(format='%+2.0f dB')
plt.title(title)
plt.show()
def main():
r = compute()
fig = plt.Figure(figsize=(8, 6))
ax = plt.subplot(1, 1, 1, aspect=1 / 21)
im = ax.imshow(r, origin="upper", extent=[0, 1, 1, 0], cmap=plt.cm.gray_r)
plt.colorbar(im)
ax.set_ylabel("Proportion of beach seen")
ax.set_xlabel("Position")
plt.savefig("{}/a_priori_x_vs_r_{}.pdf".format(folder, mode))
plt.show()
def main():
r = compute()
fig = plt.Figure(figsize=(8, 6))
ax = plt.subplot(1, 1, 1, aspect=1 / 21)
im = ax.imshow(r, origin="lower", extent=[0, 1, 0, 1], cmap=plt.cm.gray_r)
plt.colorbar(im)
plt.title(
cond.replace("_", " ").capitalize() +
", p={}, mode='{}'".format(fov, mode.replace("_", " ")))
ax.set_xlabel("x2")
ax.set_ylabel("x1")
plt.savefig("../data/figures/a_priori_x_vs_x_{}_{}_{}.pdf".format(
cond, fov * 100, mode))
plt.show()
def plot_slip(self, m, cmap=None, clim=None, zorder=0,
cb_shrink = 0.8,
cb_pad = 0.2
):
self.pcolor_on_fault(m, cmap = cmap, zorder=zorder)
cb = plt.colorbar(shrink=cb_shrink, pad=cb_pad)
plt.clim(clim)
cb.set_label('slip(m)')
def convert_all_to_png(vis_path, out_dir="maps_png", size=None):
units = {
'gas_density': 'Gas Density [g/cm$^3$]',
'Tm': 'Temperature [K]',
'Tew': 'Temperature [K]',
'S': 'Entropy []',
'dm': 'DM Density [g/cm$^3$]',
'v': 'Velocity [km/s]'
}
log_list = ['gas_density']
for vis_file in os.listdir(vis_path):
if ".dat" not in vis_file:
continue
print "converting %s" % vis_file
map_type = re.search('sigma_(.*)_[xyz]', vis_file).group(1)
(image, pixel_size,
axis_values) = read_visualization_data(vis_path + "/" + vis_file,
size)
print "image width in Mpc/h: ", axis_values[-1] * 2.0
x, y = np.meshgrid(axis_values, axis_values)
cmap_max = image.max()
cmap_min = image.min()
''' plotting '''
plt.figure(figsize=(5, 4))
if map_type in log_list:
plt.pcolor(x, y, image, norm=LogNorm(vmax=cmap_max, vmin=cmap_min))
else:
plt.pcolor(x, y, image, vmax=cmap_max, vmin=cmap_min)
cbar = plt.colorbar()
if map_type in units.keys():
cbar.ax.set_ylabel(units[map_type])
plt.axis(
[axis_values[0], axis_values[-1], axis_values[0], axis_values[-1]])
del image
plt.xlabel(r"$Mpc/h$", fontsize=18)
plt.ylabel(r"$Mpc/h$", fontsize=18)
out_file = vis_file.replace("dat", "png")
plt.savefig(out_dir + "/" + out_file, dpi=150)
plt.close()
plt.clf()
def convert_all_to_png(vis_path, out_dir = "maps_png", size = None) :
units = { 'gas_density' : 'Gas Density [g/cm$^3$]',
'Tm' : 'Temperature [K]',
'Tew' : 'Temperature [K]',
'S' : 'Entropy []',
'dm' : 'DM Density [g/cm$^3$]',
'v' : 'Velocity [km/s]' }
log_list = ['gas_density']
for vis_file in os.listdir(vis_path) :
if ".dat" not in vis_file :
continue
print "converting %s" % vis_file
map_type = re.search('sigma_(.*)_[xyz]', vis_file).group(1)
(image, pixel_size, axis_values) = read_visualization_data(vis_path+"/"+vis_file, size)
print "image width in Mpc/h: ", axis_values[-1]*2.0
x, y = np.meshgrid( axis_values, axis_values )
cmap_max = image.max()
cmap_min = image.min()
''' plotting '''
plt.figure(figsize=(5,4))
if map_type in log_list:
plt.pcolor(x,y,image, norm=LogNorm(vmax=cmap_max, vmin=cmap_min))
else :
plt.pcolor(x,y,image, vmax=cmap_max, vmin=cmap_min)
cbar = plt.colorbar()
if map_type in units.keys() :
cbar.ax.set_ylabel(units[map_type])
plt.axis([axis_values[0], axis_values[-1],axis_values[0], axis_values[-1]])
del image
plt.xlabel(r"$Mpc/h$", fontsize=18)
plt.ylabel(r"$Mpc/h$", fontsize=18)
out_file = vis_file.replace("dat", "png")
plt.savefig(out_dir+"/"+out_file, dpi=150 )
plt.close()
plt.clf()
def _plot(self):
(binsX, binsY) = (self.bins, self.bins) if isinstance(self.bins, int) else self.bins
X, Y = self.data
H, ex, ey = numpy.histogram2d(X, Y, bins=(binsX, binsY))
x_center = numpy.diff(ex) / 2 + ex[0:-1]
x_digit = numpy.digitize(X, ex)
y_center = numpy.empty(binsY)
y_std = numpy.empty(binsY)
for i in range(binsX):
y_pop = Y[numpy.where(x_digit == i + 1)[0]]
y_center[i] = numpy.mean(y_pop)
y_std[i] = numpy.std(y_pop)
plt.hexbin(X, Y, bins='log')
plt.errorbar(x_center, y_center, y_std, fmt='r-')
cb = plt.colorbar()
plt.xlim(ex[0], ex[-1])
cb.set_label('log10(N)')
def runAnalysis( caseDir , backbone , timeFactor ):
# Retrieve info on the peptide
resNames = backbone.resnames()
# Go through each residue connection
for i in range( 1, len(resNames) ):
# User info
print "Plotting dihedrals for residue: "+str(i)
# Paths for the two files
psiPath = caseDir+"/analysis/data/psi_"+str(i)
phiPath = caseDir+"/analysis/data/phi_"+str(i)
# Common Plot command
myPlot.plotData(
caseDir+"/analysis/plots" ,
"Dihedral Angles. Res ID: "+str(i)+", Residue name: "+str(resNames[i]),
["$\Psi_"+str(i)+"$","$\Phi_"+str(i)+"$"],
[ psiPath , phiPath ] ,
"Angle (Degrees)",
xFactor = timeFactor,
scatter = True ,
skipLines = 1,
legendFrame = 1,
legendAlpha = 1
)
# Create a Ramachandran plot
############################
# User info
print "Creating a Ramachandran plot for residue: "+str(i)
# Get the components
components = []
for path in [ phiPath, psiPath ]:
components.append([])
index = len(components)-1
with open(path, "r") as fi:
lines = fi.readlines()
for line in lines:
temp = line.split()
try:
components[ index ].append( float( temp[1] ) )
except ValueError:
print "Reading Header: ",line
# Set to numpy
np_arrays = [ np.array( component ) for component in components ]
# Do the plotting
title = "Ramachandran Plot. Res ID: "+str(i)+", Residue name: "+str(resNames[i])
pp = PdfPages( caseDir+"/analysis/plots/"+title+".pdf" )
fig = plt.figure() #figsize=(8,6)
ax = fig.gca()
ax.set_xlabel("$\Phi_"+str(i)+"$", fontsize=12)
ax.set_ylabel("$\Psi_"+str(i)+"$", fontsize=12)
# Create the histogram without plotting, so we can set the units properly
boltzman = 0.0019872041
temperature = 300
H, xedges, yedges = np.histogram2d(np_arrays[1], np_arrays[0], bins=100 )
H_normalized = H/len(np_arrays[0])
H = -1 * boltzman * temperature * (np.log( H_normalized )-np.log(np.max(H_normalized)))
# Now plot the 2d histogram
img = ax.imshow(H, interpolation='nearest', origin='lower',extent=[yedges[0], yedges[-1],xedges[0], xedges[-1]] , rasterized=True )
colorbar = plt.colorbar(img, ax=ax)
colorbar.set_label("Kcal / mol")
# For normal histogram plot
#plt.hist2d(np_arrays[0], np_arrays[1], bins=100)
#plt.colorbar()
plt.ylim([-180,180])
plt.xlim([-180,180])
plt.title( title )
plt.savefig(pp, format="pdf",dpi=150)
pp.close()
def _plot(self):
colormap = plt.pcolor(self.x, self.y, self.z, cmap=self.cmap)
cb = plt.colorbar(colormap)
cb.set_label('value')
def show_plots(self):
fig1 = plt.figure(figsize=[20, 20])
ax1 = fig1.add_subplot(111)
ax1.imshow(self.imdata)
ax1.xaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
ax1.yaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
fig1.savefig(
os.path.join(self.subdir,
"figure" + str(9999999999999999999999) + ".tif"))
fig2 = plt.figure(figsize=[10, 10])
ax2 = fig2.add_subplot(111)
ax2.imshow(self.im_out)
ax2.xaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
ax2.yaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
fig3 = plt.figure(figsize=[10, 10])
ax3 = fig3.add_subplot(111)
ax3.xaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormattera))
ax3.set_xlabel("Emitters density $(1/ \mu m ^2)$")
if showlog:
ax3.set_xscale('log')
ax3.set_ylim([0.0, 1.0])
ax3a = ax3.twinx()
if self.runs == 1:
ax3.plot(self.em_nr,
self.corr[0],
ls="-",
color="green",
marker="None",
label="correlation")
ax3.plot(self.em_nr,
self.binary[0],
ls="-",
color="red",
marker="None",
label="binary agreement")
ax3a.plot(self.em_nr,
self.l2_norms[0],
ls="-",
color="blue",
marker="None",
label="L2 norm")
self.data = numpy.array([
numpy.multiply(1.0e-12 / self.area, self.em_nr), self.corr[0],
self.binary[0], self.l2_norms[0]
]).transpose()
else:
ax3.plot(self.em_nr,
numpy.mean(self.corr, axis=0),
ls="-",
color="green",
marker="None",
label="correlation")
ax3.plot(self.em_nr,
numpy.mean(self.binary, axis=0),
ls="-",
color="red",
marker="None",
label="binary agreement")
ax3a.plot(self.em_nr,
numpy.mean(self.l2_norms, axis=0),
ls="-",
color="blue",
marker="None",
label="L2 norm")
ax3.errorbar(self.em_nr,
numpy.mean(self.corr, axis=0),
numpy.std(self.corr, axis=0),
color="green")
ax3.errorbar(self.em_nr,
numpy.mean(self.binary, axis=0),
numpy.std(self.binary, axis=0),
color="red")
ax3a.errorbar(self.em_nr,
numpy.mean(self.l2_norms, axis=0),
numpy.std(self.binary, axis=0),
color="blue")
self.data = numpy.array([
numpy.multiply(1.0e-12 / self.area, self.em_nr),
numpy.mean(self.corr, axis=0),
numpy.std(self.corr, axis=0),
numpy.mean(self.binary, axis=0),
numpy.std(self.binary, axis=0),
numpy.mean(self.l2_norms, axis=0),
numpy.std(self.l2_norms, axis=0)
]).transpose()
ax3.grid("on")
ax3.legend(loc="upper left")
ax3a.legend()
fig5 = plt.figure(figsize=[10, 10])
ax5 = fig5.add_subplot(111)
ax5.imshow(self.diff[1], cmap=self.cmapr, alpha=0.8)
ax5.imshow(self.diff[0], cmap=self.cmapb, alpha=0.6)
ax5.xaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
ax5.yaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatter))
fig3.savefig(os.path.join(self.subdir, "qmeasures.tif"))
if runs_nr == 1:
fig6 = plt.figure(figsize=[12, 14])
ax6 = fig6.add_subplot(111)
self.ft_data = numpy.array(self.ft_data)
self.ftfactor = self.maxfreq / (self.ft_data.shape[1])
cax6 = ax6.imshow(self.ft_data.transpose(), vmin=0.0, vmax=1.0)
ax6.set_xticks(
numpy.arange(
-0.5,
self.ft_data.shape[0] + 0.5 * self.ft_data.shape[0] / 10,
self.ft_data.shape[0] / 10))
ax6.xaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatterb))
ax6.yaxis.set_major_formatter(
mpl.ticker.FuncFormatter(self.mjrFormatterc))
ax6.set_xlabel("Emitters density $[1000/ \mu m ^2]$")
ax6.set_ylabel("Spatial frequency $[1/m]$")
ax6ylims = ax6.get_ylim()
#print ax6.get_xlim()
ax6.set_ylim([
ax6ylims[0] - 0.65 * (ax6ylims[0] - ax6ylims[1]), ax6ylims[1]
])
fig6.autofmt_xdate(rotation=90)
fig6.savefig(os.path.join(self.subdir, "transfunc.tif"))
plt.colorbar(cax6)
transfunc_output = os.path.join(self.subdir, "transfunc.txt")
numpy.savetxt(transfunc_output,
self.ft_data.transpose(),
delimiter=",")
#fig4 = plt.figure(figsize=[10,10])
#ax4a = fig4.add_subplot(211)
#ax4b = fig4.add_subplot(212)
#ax4a.hist(self.imdata.flatten(),bins=10)
#ax4b.hist(self.im_out.flatten(),bins=10)
#ax5a.imshow(diff,cmap='jet')
self.save_results()
plt.show()
def example(tess='I',base=[2,2,2],nLevels=1,
zero_v_across_bdry=[True]*3,
vol_preserve=False,
nRows=100, nCols=100,nSlices=100,
use_mayavi=False,
eval_v=False,
eval_cell_idx=False):
tw = TransformWrapper(nRows=nRows,
nCols=nCols,
nSlices=nSlices,
nLevels=nLevels,
base=base,
zero_v_across_bdry=zero_v_across_bdry,
tess=tess,
valid_outside=False,
only_local=False,
vol_preserve=vol_preserve)
print_iterable(tw.ms.L_cpa_space)
print tw
# create some fake 3D image.
img = np.zeros((nCols,nRows,nSlices),dtype=np.float64)
# img[:]=np.random.random_integers(0,255,img.shape)
# Fill the image with the x coordinates as fake values
img[:]=tw.pts_src_dense.cpu[:,0].reshape(img.shape)
img0 = CpuGpuArray(img.copy().astype(np.float64))
img_wrapped_fwd= CpuGpuArray.zeros_like(img0)
img_wrapped_inv= CpuGpuArray.zeros_like(img0)
seed=0
np.random.seed(seed)
ms_Avees=tw.get_zeros_PA_all_levels()
ms_theta=tw.get_zeros_theta_all_levels()
if tess == 'II' :
for level in range(tw.ms.nLevels):
cpa_space = tw.ms.L_cpa_space[level]
Avees = ms_Avees[level]
# 1/0
if level==0:
tw.sample_gaussian(level,ms_Avees[level],ms_theta[level],mu=None)# zero mean
# ms_theta[level].fill(0)
# ms_theta[level][-4]=10
cpa_space.theta2Avees(theta=ms_theta[level],Avees=Avees)
else:
tw.sample_from_the_ms_prior_coarse2fine_one_level(ms_Avees,ms_theta,
level_fine=level)
else:
# For tess='I' in 3D, I have yet to implement the coarse-to-fine sampling.
for level in range(tw.ms.nLevels):
cpa_space = tw.ms.L_cpa_space[level]
velTess = cpa_space.zeros_velTess()
ms_Avees[level].fill(0)
Avees = ms_Avees[level]
tw.sample_gaussian_velTess(level,Avees,velTess,mu=None)
print 'img shape:',img0.shape
# You don't have use these. You can use any 2d array
# that has 3 columns (regardless of the number of rows).
pts_src = tw.pts_src_dense
pts_src=CpuGpuArray(pts_src.cpu[::1].copy())
# Create a buffer for the output
pts_fwd = CpuGpuArray.zeros_like(pts_src)
pts_inv = CpuGpuArray.zeros_like(pts_src)
for level in range(tw.ms.nLevels):
tw.update_pat_from_Avees(ms_Avees[level],level)
if eval_v:
# Evaluating the velocity field.
# You don't have to do it in unless you want to visualize v.
# (when evaluting the treansformation, v will be internally
# evaluated anyway -- but its result won't be stored)
tw.calc_v(level=level)
print 'level',level
print
print 'number of points:',len(pts_src)
print 'number of cells:',tw.ms.L_cpa_space[level].nC
# optional, if you want to time it
timer_gpu_T_fwd = GpuTimer()
# Simply calling
# tic = time.clock()
# and then
# tic = time.clock()
# won't work.
# In fact, most likely you will get that toc-tic is zero.
# You need to use the GpuTimer object. When you do that,
# one side effect is that suddenly the toc-tic from above will
# give you a more realistic result.
tic = time.clock()
timer_gpu_T_fwd.tic()
tw.calc_T_fwd(pts_src,pts_fwd,level=level)
timer_gpu_T_fwd.toc()
toc = time.clock()
print 'Time, in sec, for computing T_fwd:'
print timer_gpu_T_fwd.secs
print toc-tic # likely to be 0, unless you also used the GpuTimer.
# You can also time the inv of course. Results will be similar.
tw.calc_T_inv(pts_src,pts_inv,level=level)
if eval_cell_idx:
# cell_idx is computed here just for display.
cell_idx = CpuGpuArray.zeros(len(pts_src),dtype=np.int32)
tw.calc_cell_idx(pts_src,cell_idx,level)
tw.remap_fwd(pts_inv,img0,img_wrapped_fwd)
tw.remap_inv(pts_fwd,img0,img_wrapped_inv)
# For display purposes, do gpu2cpu transfer
print "For display purposes, do gpu2cpu transfer"
if eval_cell_idx:
cell_idx.gpu2cpu()
if eval_v:
tw.v_dense.gpu2cpu()
pts_fwd.gpu2cpu()
pts_inv.gpu2cpu()
img_wrapped_fwd.gpu2cpu()
img_wrapped_inv.gpu2cpu()
if use_mayavi:
ds=1 # downsampling factor
i= 17
pts_src_grid = pts_src.cpu.reshape(tw.nRows,tw.nCols,-1,3)
pts_src_ds=pts_src_grid[::ds,::ds,i].reshape(-1,3)
pts_fwd_grid = pts_fwd.cpu.reshape(tw.nRows,tw.nCols,-1,3)
pts_fwd_ds=pts_fwd_grid[::ds,::ds,i].reshape(-1,3)
pts_inv_grid = pts_inv.cpu.reshape(tw.nRows,tw.nCols,-1,3)
pts_inv_ds=pts_inv_grid[::ds,::ds,i].reshape(-1,3)
from of.my_mayavi import *
mayavi_mlab_close_all()
mayavi_mlab_figure_bgwhite('src')
x,y,z=pts_src_ds.T
mayavi_mlab_plot3d(x,y,z)
mayavi_mlab_figure_bgwhite('fwd')
x,y,z=pts_fwd_ds.T
mayavi_mlab_plot3d(x,y,z)
figsize = (12,12)
plt.figure(figsize=figsize)
i= 17 # some slice
plt.subplot(131)
plt.imshow(img0.cpu[:,:,i].astype(np.uint8),interpolation="Nearest")
plt.title('slice from img')
plt.subplot(132)
plt.imshow(img_wrapped_fwd.cpu[:,:,i].astype(np.uint8),interpolation="Nearest")
plt.axis('off')
plt.title('slice from fwd(img)')
plt.subplot(133)
plt.imshow(img_wrapped_inv.cpu[:,:,i].astype(np.uint8),interpolation="Nearest")
plt.axis('off')
plt.title('slice from inv(img)')
if 0: # debug
cpa_space=tw.ms.L_cpa_space[level]
if eval_v:
vx=tw.v_dense.cpu[:,0].reshape(cpa_space.x_dense_grid_img.shape[1:])
vy=tw.v_dense.cpu[:,1].reshape(cpa_space.x_dense_grid_img.shape[1:])
vz=tw.v_dense.cpu[:,2].reshape(cpa_space.x_dense_grid_img.shape[1:])
plt.figure()
plt.imshow(vz[:,:,17],interpolation="Nearest");plt.colorbar()
plt.title('vz in some slice')
return tw
disp0 = np.asarray([ii[1] for ii in tp]).flatten()
us0 = disp0[2::3]
ep = vj.EpochalDisplacement('cumu_post_with_seafloor.h5',
filter_sites=sites)
disp1 = ep[0]
us1 = disp1[2::3]
plt.subplot(121)
bm = vj.MyBasemap(region_code='near')
mplt = vj.MapPlotDisplacement(basemap=bm)
mplt.plot_scalor(us0, sites, cmap='RdBu')
mplt = vj.MapPlotSlab(basemap=bm)
mplt.plot_top()
plt.clim([-1., 1.])
plt.subplot(122)
bm = vj.MyBasemap(region_code='near')
mplt = vj.MapPlotDisplacement(basemap=bm)
im = mplt.plot_scalor(us1, sites, cmap='RdBu')
mplt = vj.MapPlotSlab(basemap=bm)
mplt.plot_top()
plt.clim([-1., 1.])
divider = make_axes_locatable(plt.gca())
cax = divider.append_axes("right", size="5%", pad=0.05)
plt.colorbar(im, cax=cax)
plt.savefig('compare.pdf')
plt.show()
def train(n_epochs, _batch_size, start_epoch=0):
"""
train with fixed batch_size for given epochs
make some example plots and save model after each epoch
"""
global batch_size
batch_size = _batch_size
# create a dataqueue with the keras facilities. this allows
# to prepare the data in parallel to the training
sample_dataqueue = GeneratorEnqueuer(generate_real_samples(batch_size),
use_multiprocessing=True)
sample_dataqueue.start(workers=2, max_queue_size=10)
sample_gen = sample_dataqueue.get()
# targets for loss function
gan_sample_dataqueue = GeneratorEnqueuer(
generate_latent_points_as_generator(batch_size),
use_multiprocessing=True)
gan_sample_dataqueue.start(workers=2, max_queue_size=10)
gan_sample_gen = gan_sample_dataqueue.get()
# targets for loss function
valid = -np.ones((batch_size, 1))
fake = np.ones((batch_size, 1))
dummy = np.zeros((batch_size, 1)) # Dummy gt for gradient penalty
bat_per_epo = int(n_samples / batch_size)
# we need to call the discriminator once in order
# to initialize the input shapes
[X_real, cond_real] = next(sample_gen)
latent = np.random.normal(size=(batch_size, latent_dim))
critic_model.predict([X_real, cond_real, latent])
for i in trange(n_epochs):
epoch = 1 + i + start_epoch
# enumerate batches over the training set
for j in trange(bat_per_epo):
for _ in range(n_disc):
# fetch a batch from the queue
[X_real, cond_real] = next(sample_gen)
latent = np.random.normal(size=(batch_size, latent_dim))
d_loss = critic_model.train_on_batch(
[X_real, cond_real, latent], [valid, fake, dummy])
# we get for losses back here. average, valid, fake, and gradient_penalty
# we want the average of valid and fake
d_loss = np.mean([d_loss[1], d_loss[2]])
# train generator
# prepare points in latent space as input for the generator
[latent, cond] = next(gan_sample_gen)
# update the generator via the discriminator's error
g_loss = generator_model.train_on_batch([latent, cond], valid)
# summarize loss on this batch
print(f'{epoch}, {j + 1}/{bat_per_epo}, d_loss {d_loss}' + \
f' g:{g_loss} ') # , d_fake:{d_loss_fake} d_real:{d_loss_real}')
if np.isnan(g_loss) or np.isnan(d_loss):
raise ValueError('encountered nan in g_loss and/or d_loss')
hist['d_loss'].append(d_loss)
hist['g_loss'].append(g_loss)
# plot generated examples
plt.figure(figsize=(25, 25))
n_plot = 30
X_fake, cond_fake = generate_fake_samples(n_plot)
for iplot in range(n_plot):
plt.subplot(n_plot, 25, iplot * 25 + 1)
plt.imshow(cond_fake[iplot, :, :].squeeze(),
cmap=plt.cm.gist_earth_r,
norm=LogNorm(vmin=0.01, vmax=1))
plt.axis('off')
for jplot in range(1, 24):
plt.subplot(n_plot, 25, iplot * 25 + jplot + 1)
plt.imshow(X_fake[iplot, jplot, :, :].squeeze(),
vmin=0,
vmax=1,
cmap=plt.cm.hot_r)
plt.axis('off')
plt.colorbar()
plt.suptitle(f'epoch {epoch:04d}')
plt.savefig(
f'{plotdir}/fake_samples_{params}_{epoch:04d}_{j:06d}.{plot_format}'
)
# plot loss
plt.figure()
plt.plot(hist['d_loss'], label='d_loss')
plt.plot(hist['g_loss'], label='g_loss')
plt.ylabel('batch')
plt.legend()
plt.savefig(f'{plotdir}/training_loss_{params}.{plot_format}')
pd.DataFrame(hist).to_csv('hist.csv')
plt.close('all')
generator.save(f'{outdir}/gen_{params}_{epoch:04d}.h5')
critic.save(f'{outdir}/disc_{params}_{epoch:04d}.h5')
def _plot(self):
colormap = plt.pcolor(self.x, self.y, self.z, cmap=self.cmap)
cb = plt.colorbar(colormap)
cb.set_label('value')
def plotPCA(
self,
plotTitleIdentifier,
dataDir,
eigenVectorFile ,
eigenValueFile = False ,
eigenVectorCount = 4,
plotDistibution = True,
limits = False
):
# If this is the first plot, create grid
if self.subPlots == 0:
self.createPdfPage()
# User info
print "Doing principal component analysis"
# Do the four principal vectors
frames = []
# Principal components
pcs = []
for i in range( 0, eigenVectorCount ):
pcs.append([])
# Go through analysis file and get eigenvalues
if eigenValueFile != False:
eigenValues = []
eigenValueTotal = 0
with open(dataDir+eigenValueFile,"r") as f:
for line in f:
temp = line.split()
eigenValueTotal += float(temp[1])
eigenValues.append(float(temp[1]))
eigenValues = (np.array(eigenValues) / eigenValueTotal) * 100
# Get the file with all the projection data
pcaFile = open(dataDir+eigenVectorFile,"r")
n = 0
for aline in pcaFile:
if n > 1 and aline:
values = aline.split()
# Add frames
frames.append( int(values[0]) )
# If requesting more vectors than present
if eigenVectorCount > len(values):
raise Exception("CPPTRAJ has not projected "+str(eigenVectorCount)+" vectors")
# Add to vectors
for i in range( 0, eigenVectorCount ):
pcs[i].append( float(values[i+1]) )
n = n + 1
# Create numpy arrays
frames = np.array( frames )
self.np_arrays = [ np.array( pc ) for pc in pcs ]
# Set the plotting font and default size 'family' : 'Arial',
font = {
'weight' : 'normal',
'size' : 10}
# Do a plot for each PCA
for component in range( 1, len(self.np_arrays) ):
# User Info
print "Plotting component 1 vs. "+str(component)
# Normalize the data DeltaG = -kb T * [ ln( P(v1,v2) ) - ln Pmax ]
boltzman = 0.0019872041
temperature = 300
# Plot both distribution & Energy Landscape
for plotType in [ "energy", "distribution" ] if plotDistibution else [ "energy" ]:
# New subplot
ax = self.getActiveAx()
# Increase subplot counter
self.subPlots += 1
# Do the plotting
if plotType == "energy":
# Create the histogram without plotting, so we can set the units properly
H, xedges, yedges = np.histogram2d(self.np_arrays[component], self.np_arrays[0], bins=100 )
H_normalized = H/len(self.np_arrays[0])
H = -1 * boltzman * temperature * (np.log( H_normalized )-np.log(np.max(H_normalized)))
# Set max energy
for vec in H:
for val in vec:
if not np.isinf(val) and val > self.latestMax:
self.latestMax = val
# Now plot the 2d histogram
img = ax.imshow(H, interpolation='nearest', origin='lower',extent=[yedges[0], yedges[-1],xedges[0], xedges[-1]] , rasterized=True )
# create an axes on the right side of ax. The width of cax will be 5%
# of ax and the padding between cax and ax will be fixed at 0.05 inch.
divider = make_axes_locatable(ax)
cax = divider.append_axes("right", size="5%", pad=0.05)
# Create colorbar
colorbar = plt.colorbar(img, ax=ax, cax = cax)
colorbar.set_label("Kcal / mol")
self.colorBars.append(colorbar)
elif plotType == "distribution":
# Directly do the 2d histogram of matplotlib
_, _, _, img = ax.hist2d(self.np_arrays[0], self.np_arrays[component], bins=100 , rasterized=True, norm=LogNorm() )
colorbar = plt.colorbar(img, ax=ax)
colorbar.set_label("Occurances")
self.colorBars.append(colorbar)
# Set limits if they are not specified
if limits == False:
print "Calculating plot limits based on data"
mini = np.abs(np.min( [np.min(self.np_arrays[0]), np.min(self.np_arrays[component])] ))
maxi = np.abs(np.max( [np.max(self.np_arrays[0]), np.max(self.np_arrays[component])] ))
limits = int(math.ceil(np.max( [mini,maxi] )))
print "Setting plot limits to: ",limits
ax.set_ylim([-limits,limits])
ax.set_xlim([-limits,limits])
# Save the limits for the component
with open(dataDir+"pca_limits_"+str(component), "w") as fo:
fo.write( str(limits) )
# Set title, labels etc
plt.legend()
if eigenValueFile != False:
ax.set_xlabel("PC1 ({0:.2f}%)".format(eigenValues[0]), fontsize=12)
ax.set_ylabel("PC"+str(component+1)+" ({0:.2f}%)".format(eigenValues[component]), fontsize=12)
else:
ax.set_xlabel("PC1", fontsize=12)
ax.set_ylabel("PC"+str(component+1), fontsize=12)
ax.set_title( "PCA. "+plotTitleIdentifier )
plt.rc('font', **font)
# Save pdf page if it's filled
if self.subPlots >= (self.rows*self.columns):
print "Now saving to PDF. Number of plots: ",self.subPlots
self.savePdfPage()
self.subPlots = 0
signals = extract_activity_signals(activity, resample='existing')
power = signals['power']
balance = signals['left_right_balance']
time = signals['time']
PAvgBalance = sum(power * balance) / sum(power)
# get session info
records = activity.get_records_by_type('session')
for record in records:
valid_field_names = record.get_valid_field_names()
# plotting
CrossPlotFig = plt.figure()
sc = plt.scatter(power,
balance,
s=5,
c=time,
cmap=plt.get_cmap('brg'),
edgecolors='face')
plt.colorbar(orientation='horizontal')
plt.title('Balance Vs Power over Time (sec)\n' \
+ 'power-weighted average = %4.1f' % (PAvgBalance) )
plt.xlabel('Power (w)')
plt.ylabel('Right Balance (%)')
plt.grid(b=True, which='major', axis='both')
ax = plt.gca()
grids = arange(10, 100, 10) # force a gride at 50
ax.set_yticks(grids, minor=False)
ax.grid(True)
plt.show()
def link_level_hour(levels, usages, quantiles, scheme, direction, color, nnames, lnames, admat=None):
"""
Make a color mesh of a node's average hourly usage of links at different
levels.
"""
if not admat:
admat = np.genfromtxt('./settings/eadmat.txt')
if color == 'solar':
cmap = Oranges_cmap
elif color == 'wind':
cmap = Blues_cmap
elif color == 'backup':
cmap = 'Greys'
links, nodes, lapse = usages.shape
usages = np.reshape(usages, (links, nodes, lapse / 24, 24))
totalHour = np.zeros((levels, 24))
totalNormed = np.zeros((levels, 24))
for node in range(nodes):
nl = neighbor_levels(node, levels, admat)
hourSums = np.zeros((levels, 24))
for lvl in range(levels):
ll = link_level(nl, lvl, nnames, lnames)
ll = np.array(ll, dtype='int')
meanSum = np.sum(np.mean(usages[ll, node], axis=1), axis=0)
linkSum = sum(quantiles[ll])
hourSums[lvl] = meanSum / linkSum
totalHour += hourSums
plt.figure(figsize=(9, 3))
ax = plt.subplot()
plt.pcolormesh(hourSums, cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(.5, 23.5, 24))
ax.set_xticklabels(np.array(np.linspace(1, 24, 24), dtype='int'), ha="center", va="top", fontsize=10)
plt.ylabel('Link level')
plt.axis([0, 24, 0, levels])
plt.title(nnames[node] + ' ' + direction + ' ' + color)
plt.savefig(figPath + '/hourly/' + str(scheme) + '/' + str(node) + '_' + color + '_' + direction + '.pdf', bbox_inches='tight')
plt.close()
hourSums = hourSums / np.sum(hourSums, axis=1)[:, None]
totalNormed += hourSums
plt.figure(figsize=(9, 3))
ax = plt.subplot()
plt.pcolormesh(hourSums, cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(.5, 23.5, 24))
ax.set_xticklabels(np.array(np.linspace(1, 24, 24), dtype='int'), ha="center", va="top", fontsize=10)
plt.ylabel('Link level')
plt.axis([0, 24, 0, levels])
plt.title(nnames[node] + ' ' + direction + ' ' + color)
plt.savefig(figPath + '/hourly/' + str(scheme) + '/normed/' + str(node) + '_' + color + '_' + direction + '.pdf', bbox_inches='tight')
plt.close()
# Plot average hourly usage
totalHour /= nodes
plt.figure(figsize=(9, 3))
ax = plt.subplot()
plt.pcolormesh(totalHour, cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(.5, 23.5, 24))
ax.set_xticklabels(np.array(np.linspace(1, 24, 24), dtype='int'), ha="center", va="top", fontsize=10)
plt.ylabel('Link level')
plt.axis([0, 24, 0, levels])
plt.savefig(figPath + '/hourly/' + str(scheme) + '/total_' + color + '_' + direction + '.pdf', bbox_inches='tight')
plt.close()
totalNormed /= nodes
plt.figure(figsize=(9, 3))
ax = plt.subplot()
plt.pcolormesh(totalNormed, cmap=cmap)
plt.colorbar().set_label(label=r'$U_n^{(l)}$', size=11)
ax.set_yticks(np.linspace(.5, levels - .5, levels))
ax.set_yticklabels(range(1, levels + 1))
ax.yaxis.set_tick_params(width=0)
ax.xaxis.set_tick_params(width=0)
ax.set_xticks(np.linspace(.5, 23.5, 24))
ax.set_xticklabels(np.array(np.linspace(1, 24, 24), dtype='int'), ha="center", va="top", fontsize=10)
plt.ylabel('Link level')
plt.axis([0, 24, 0, levels])
plt.savefig(figPath + '/hourly/' + str(scheme) + '/normed/total_' + color + '_' + direction + '.pdf', bbox_inches='tight')
plt.close()
mpl_dates[:10]
# In[20]:
plt.figure(figsize=(8, 4))
plt.scatter(dax['PCA_5'], dax['^GDAXI'], c=mpl_dates)
lin_reg = np.polyval(np.polyfit(dax['PCA_5'],
dax['^GDAXI'], 1),
dax['PCA_5'])
plt.plot(dax['PCA_5'], lin_reg, 'r', lw=3)
plt.grid(True)
plt.xlabel('PCA_5')
plt.ylabel('^GDAXI')
plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),
format=mpl.dates.DateFormatter('%d %b %y'))
# tag: pca_3
# title: DAX return values against PCA return values with linear regression
# In[21]:
cut_date = '2017-3-1'
early_pca = dax[dax.index < cut_date]['PCA_5']
early_reg = np.polyval(np.polyfit(early_pca,
dax['^GDAXI'][dax.index < cut_date], 1),
early_pca)
# In[22]:
ax1.legend(legend, loc='upper left')
ax1.set_title('5Y5Y X-Market')
# Correlation Plot
#ax2 = sns.heatmap(df_5y5y.corr(), xticklabels=legend, yticklabels=legend, cmap='RdYlGn', center=0, annot=True)
spread = df['PLN 5Y X 5Y Fwd Swap Rate'] - avg_5y5y
ax2.plot(spread)
# Decorations
#ax2.title('Historical Correlations', fontsize=22)
#ax2.xticks(fontsize=8)
#ax2.yticks(fontsize=4)
print(df_5y5y.corr())
x1 = avg_5y5y
y1 = df_5y5y['PLN 5Y X 5Y Fwd Swap Rate']
ax4 = sns.regplot(x=x1, y=y1, marker="+")
#plt.show()
colors = np.linspace(0.1, 1, len(df_5y5y))
mymap = plt.get_cmap("winter")
ax3 = ax3.scatter(x1, y1, c=colors, cmap=mymap, lw=0)
cb = plt.colorbar(ax3)
#plt.subplot(x1[-1],y1[-1],'ro')
cb.ax.set_yticklabels(
[str(p.date()) for p in df_5y5y[::len(df_5y5y) // 10].index])
fig.tight_layout()
plt.show()
def plot_variable(u, name, direc, cmap=cmaps.parula, scale='lin', numLvls=100,
umin=None, umax=None, \
tp=False, \
tpAlpha=1.0, show=False,
hide_ax_tick_labels=False, label_axes=True, title='',
use_colorbar=True, hide_axis=False, colorbar_loc='right'):
"""
show -- whether to show the plot on the screen
tp -- show triangle
cmap -- colors:
gist_yarg - grey
gnuplot, hsv, gist_ncar
jet - typical colors
"""
mesh = u.function_space().mesh()
v = u.compute_vertex_values(mesh)
x = mesh.coordinates()[:,0]
y = mesh.coordinates()[:,1]
t = mesh.cells()
if not os.path.isdir( direc ):
os.makedirs(direc)
full_path = os.path.join(direc, name)
if umin != None:
vmin = umin
else:
vmin = v.min()
if umax != None:
vmax = umax
else:
vmax = v.max()
# countour levels :
if scale == 'log':
v[v < vmin] = vmin + 1e-12
v[v > vmax] = vmax - 1e-12
from matplotlib.ticker import LogFormatter
levels = np.logspace(np.log10(vmin), np.log10(vmax), numLvls)
tick_numLvls = min( numLvls, 8 )
tick_levels = np.logspace(np.log10(vmin), np.log10(vmax), tick_numLvls)
formatter = LogFormatter(10, labelOnlyBase=False)
norm = colors.LogNorm()
elif scale == 'lin':
v[v < vmin] = vmin + 1e-12
v[v > vmax] = vmax - 1e-12
from matplotlib.ticker import ScalarFormatter
levels = np.linspace(vmin, vmax, numLvls)
tick_numLvls = min( numLvls, 8 )
tick_levels = np.linspace(vmin, vmax, tick_numLvls)
formatter = ScalarFormatter()
norm = None
elif scale == 'bool':
from matplotlib.ticker import ScalarFormatter
levels = [0, 1, 2]
formatter = ScalarFormatter()
norm = None
fig = plt.figure(figsize=(5,5))
ax = fig.add_subplot(111)
c = ax.tricontourf(x, y, t, v, levels=levels, norm=norm,
cmap=plt.get_cmap(cmap))
plt.axis('equal')
if tp == True:
p = ax.triplot(x, y, t, '-', lw=0.2, alpha=tpAlpha)
ax.set_xlim([x.min(), x.max()])
ax.set_ylim([y.min(), y.max()])
if label_axes:
ax.set_xlabel(r'$x$')
ax.set_ylabel(r'$y$')
if hide_ax_tick_labels:
ax.set_xticklabels([])
ax.set_yticklabels([])
if hide_axis:
plt.axis('off')
# include colorbar :
if scale != 'bool' and use_colorbar:
divider = make_axes_locatable(plt.gca())
cax = divider.append_axes(colorbar_loc, "5%", pad="3%")
cbar = plt.colorbar(c, cax=cax, format=formatter,
ticks=tick_levels)
tit = plt.title(title)
if use_colorbar:
plt.tight_layout(rect=[.03,.03,0.97,0.97])
else:
plt.tight_layout()
plt.savefig( full_path + '.eps', dpi=300)
if show:
plt.show()
plt.close(fig)
def plot_feature_space(self,
m=0,
n=1,
c=None,
r=300,
hold=False,
xlim=None,
ylim=None,
xtpl='MNF %d',
ytpl='MNF %d',
alpha=0.5,
stitle='MNF Feature Space: Axes %d and %d',
interact=False):
'''
Create a 2D projection of the feature space and display it.
'''
self.__dims__ = (m, n, c) # Remember these indices
# Create a new figure of size 9x9 points, using 72 dots per inch
fig = figure(figsize=self.size, dpi=self.dpi)
self.ax = fig.add_subplot(111)
defaults = {
'linewidths': (0, ),
's': (30, ),
'cmap': 'YlGnBu',
'alpha': alpha
}
if self.__raveled__:
if c is not None:
self.ax.scatter(self.rfeatures[:, m],
self.rfeatures[:, n],
c=self.rfeatures[:, c],
**defaults)
else:
self.ax.scatter(self.rfeatures[:, m], self.rfeatures[:, n],
**defaults)
else:
i = j = r # Select square subsets
if c is not None:
# Plot the data; if a third dimension in color is requested...
self.ax.scatter(self.rfeatures[0:i, 0:j, m],
self.rfeatures[0:i, 0:j, n],
c=self.rfeatures[0:i, 0:j, c],
**defaults)
else:
self.ax.scatter(self.rfeatures[0:i, 0:j, m],
self.rfeatures[0:i, 0:j, n], **defaults)
if c is not None:
plt.colorbar(orientation='vertical')
t = '2D Projection with Axis %d in Color' % (c + 1)
else:
t = '2D Projection'
# Allow users to change the x- and y-axis limits
axes = plt.gca()
if xlim is not None:
axes.set_xlim(xlim)
if ylim is not None:
axes.set_ylim(ylim)
plt.xlabel(xtpl % (m + 1), fontsize=14)
plt.ylabel(ytpl % (n + 1), fontsize=14)
plt.suptitle(stitle % (m + 1, n + 1), fontsize=18, fontweight='bold')
plt.title(t, fontsize=16)
if not hold:
plt.show()
if not hold and interact:
self.on_reset()
self.ax.figure.canvas.mpl_connect('button_press_event',
self.on_press)
return self.ax
def plot_culture(self):
# plt.figure()
plt.matshow(self.get_matrix_of_agents_culture())
plt.colorbar()
plt.clim(0, 1) # Sets the min/max limits of colorbar
plt.title("Culture")
n_plot = 30
[X_real, cond_real] = next(generate_real_samples(n_plot))
for i in range(n_plot):
plt.subplot(n_plot, 25, i * 25 + 1)
plt.imshow(cond_real[i, :, :].squeeze(),
cmap=plt.cm.gist_earth_r,
norm=LogNorm(vmin=0.01, vmax=1))
plt.axis('off')
for j in range(1, 24):
plt.subplot(n_plot, 25, i * 25 + j + 1)
plt.imshow(X_real[i, j, :, :].squeeze(),
vmin=0,
vmax=1,
cmap=plt.cm.hot_r)
plt.axis('off')
plt.colorbar()
plt.savefig(f'{plotdir}/real_samples.{plot_format}')
hist = {'d_loss': [], 'g_loss': []}
print(f'start training on {n_samples} samples')
def train(n_epochs, _batch_size, start_epoch=0):
"""
train with fixed batch_size for given epochs
make some example plots and save model after each epoch
"""
global batch_size
batch_size = _batch_size
# create a dataqueue with the keras facilities. this allows
# to prepare the data in parallel to the training
def example(tess='I',
base=[2, 2, 2],
nLevels=1,
zero_v_across_bdry=[True] * 3,
vol_preserve=False,
nRows=100,
nCols=100,
nSlices=100,
use_mayavi=False,
eval_v=False,
eval_cell_idx=False):
tw = TransformWrapper(nRows=nRows,
nCols=nCols,
nSlices=nSlices,
nLevels=nLevels,
base=base,
zero_v_across_bdry=zero_v_across_bdry,
tess=tess,
valid_outside=False,
only_local=False,
vol_preserve=vol_preserve)
print_iterable(tw.ms.L_cpa_space)
print tw
# create some fake 3D image.
img = np.zeros((nCols, nRows, nSlices), dtype=np.float64)
# img[:]=np.random.random_integers(0,255,img.shape)
# Fill the image with the x coordinates as fake values
img[:] = tw.pts_src_dense.cpu[:, 0].reshape(img.shape)
img0 = CpuGpuArray(img.copy().astype(np.float64))
img_wrapped_fwd = CpuGpuArray.zeros_like(img0)
img_wrapped_inv = CpuGpuArray.zeros_like(img0)
seed = 0
np.random.seed(seed)
ms_Avees = tw.get_zeros_PA_all_levels()
ms_theta = tw.get_zeros_theta_all_levels()
if tess == 'II':
for level in range(tw.ms.nLevels):
cpa_space = tw.ms.L_cpa_space[level]
Avees = ms_Avees[level]
# 1/0
if level == 0:
tw.sample_gaussian(level,
ms_Avees[level],
ms_theta[level],
mu=None) # zero mean
# ms_theta[level].fill(0)
# ms_theta[level][-4]=10
cpa_space.theta2Avees(theta=ms_theta[level], Avees=Avees)
else:
tw.sample_from_the_ms_prior_coarse2fine_one_level(
ms_Avees, ms_theta, level_fine=level)
else:
# For tess='I' in 3D, I have yet to implement the coarse-to-fine sampling.
for level in range(tw.ms.nLevels):
cpa_space = tw.ms.L_cpa_space[level]
velTess = cpa_space.zeros_velTess()
ms_Avees[level].fill(0)
Avees = ms_Avees[level]
tw.sample_gaussian_velTess(level, Avees, velTess, mu=None)
print 'img shape:', img0.shape
# You don't have use these. You can use any 2d array
# that has 3 columns (regardless of the number of rows).
pts_src = tw.pts_src_dense
pts_src = CpuGpuArray(pts_src.cpu[::1].copy())
# Create a buffer for the output
pts_fwd = CpuGpuArray.zeros_like(pts_src)
pts_inv = CpuGpuArray.zeros_like(pts_src)
for level in range(tw.ms.nLevels):
tw.update_pat_from_Avees(ms_Avees[level], level)
if eval_v:
# Evaluating the velocity field.
# You don't have to do it in unless you want to visualize v.
# (when evaluting the treansformation, v will be internally
# evaluated anyway -- but its result won't be stored)
tw.calc_v(level=level)
print 'level', level
print
print 'number of points:', len(pts_src)
print 'number of cells:', tw.ms.L_cpa_space[level].nC
# optional, if you want to time it
timer_gpu_T_fwd = GpuTimer()
# Simply calling
# tic = time.clock()
# and then
# tic = time.clock()
# won't work.
# In fact, most likely you will get that toc-tic is zero.
# You need to use the GpuTimer object. When you do that,
# one side effect is that suddenly the toc-tic from above will
# give you a more realistic result.
tic = time.clock()
timer_gpu_T_fwd.tic()
tw.calc_T_fwd(pts_src, pts_fwd, level=level)
timer_gpu_T_fwd.toc()
toc = time.clock()
print 'Time, in sec, for computing T_fwd:'
print timer_gpu_T_fwd.secs
print toc - tic # likely to be 0, unless you also used the GpuTimer.
# You can also time the inv of course. Results will be similar.
tw.calc_T_inv(pts_src, pts_inv, level=level)
if eval_cell_idx:
# cell_idx is computed here just for display.
cell_idx = CpuGpuArray.zeros(len(pts_src), dtype=np.int32)
tw.calc_cell_idx(pts_src, cell_idx, level)
tw.remap_fwd(pts_inv, img0, img_wrapped_fwd)
tw.remap_inv(pts_fwd, img0, img_wrapped_inv)
# For display purposes, do gpu2cpu transfer
print "For display purposes, do gpu2cpu transfer"
if eval_cell_idx:
cell_idx.gpu2cpu()
if eval_v:
tw.v_dense.gpu2cpu()
pts_fwd.gpu2cpu()
pts_inv.gpu2cpu()
img_wrapped_fwd.gpu2cpu()
img_wrapped_inv.gpu2cpu()
if use_mayavi:
ds = 1 # downsampling factor
i = 17
pts_src_grid = pts_src.cpu.reshape(tw.nRows, tw.nCols, -1, 3)
pts_src_ds = pts_src_grid[::ds, ::ds, i].reshape(-1, 3)
pts_fwd_grid = pts_fwd.cpu.reshape(tw.nRows, tw.nCols, -1, 3)
pts_fwd_ds = pts_fwd_grid[::ds, ::ds, i].reshape(-1, 3)
pts_inv_grid = pts_inv.cpu.reshape(tw.nRows, tw.nCols, -1, 3)
pts_inv_ds = pts_inv_grid[::ds, ::ds, i].reshape(-1, 3)
from of.my_mayavi import *
mayavi_mlab_close_all()
mayavi_mlab_figure_bgwhite('src')
x, y, z = pts_src_ds.T
mayavi_mlab_plot3d(x, y, z)
mayavi_mlab_figure_bgwhite('fwd')
x, y, z = pts_fwd_ds.T
mayavi_mlab_plot3d(x, y, z)
figsize = (12, 12)
plt.figure(figsize=figsize)
i = 17 # some slice
plt.subplot(131)
plt.imshow(img0.cpu[:, :, i].astype(np.uint8), interpolation="Nearest")
plt.title('slice from img')
plt.subplot(132)
plt.imshow(img_wrapped_fwd.cpu[:, :, i].astype(np.uint8),
interpolation="Nearest")
plt.axis('off')
plt.title('slice from fwd(img)')
plt.subplot(133)
plt.imshow(img_wrapped_inv.cpu[:, :, i].astype(np.uint8),
interpolation="Nearest")
plt.axis('off')
plt.title('slice from inv(img)')
if 0: # debug
cpa_space = tw.ms.L_cpa_space[level]
if eval_v:
vx = tw.v_dense.cpu[:, 0].reshape(
cpa_space.x_dense_grid_img.shape[1:])
vy = tw.v_dense.cpu[:, 1].reshape(
cpa_space.x_dense_grid_img.shape[1:])
vz = tw.v_dense.cpu[:, 2].reshape(
cpa_space.x_dense_grid_img.shape[1:])
plt.figure()
plt.imshow(vz[:, :, 17], interpolation="Nearest")
plt.colorbar()
plt.title('vz in some slice')
return tw
def plot_const(u, name , direc):
if not os.path.isdir( direc ):
os.makedirs(direc)
full_path = os.path.join(direc, name)
full_mesh = os.path.join(direc, 'mesh.svg')
mesh = u.function_space().mesh()
v = u.compute_vertex_values(mesh)
x = mesh.coordinates()[:,0]
y = mesh.coordinates()[:,1]
t = mesh.cells()
vmin = v.min()
vmax = v.max()
v[v < vmin] = vmin + 1e-12
v[v > vmax] = vmax - 1e-12
numLvls=100
from matplotlib.ticker import ScalarFormatter
levels = np.linspace(vmin, vmax, numLvls)
tick_numLvls = min( numLvls, 8 )
tick_levels = np.linspace(vmin, vmax, tick_numLvls)
formatter = ScalarFormatter()
norm = None
n = mesh.num_vertices()
d = mesh.geometry().dim()
# Create the triangulation
mesh_coordinates = mesh.coordinates().reshape((n, d))
triangles = np.asarray([cell.entities(0) for cell in cells(mesh)])
triangulation = tri.Triangulation(mesh_coordinates[:, 0],
mesh_coordinates[:, 1],
triangles)
# Plot the mesh
# plt.figure()
# plt.triplot(triangulation)
# plt.savefig( full_mesh )
# Plot of scalar field
V = u.function_space() #FunctionSpace(mesh, 'CG', 2)
#f_exp = Expression('sin(2*pi*(x[0]*x[0]+x[1]*x[1]))')
#f = interpolate(f_exp, V)
fig = plt.figure(figsize=(5,5))
ax = fig.add_subplot(111)
# Get the z values for each vertex
# cmap = plt.cm.jet
cmap = cmaps.parula
c = ax.tricontourf(x, y, t, v, levels=levels, norm=norm,
cmap=plt.get_cmap(cmap))
plt.ioff()
#fig = plt.figure()
z = np.asarray([u(point) for point in mesh_coordinates])
plt.tripcolor(triangulation, z, cmap=cmap) # alt plt.tricontourf(...)
plt.colorbar()
# plt.savefig( full_path, bbox_inches='tight' )
plt.savefig( full_path + '.eps', dpi=300)
plt.close( fig )
sub = df.query('hour==@hour')
_, p = scipy.stats.ks_2samp(
sub.query('cond==1')['fraction'],
sub.query('cond==2')['fraction'])
pvals_per_hour.append(p)
np.savetxt(
f'{plotdir}/check_conditional_dist_samenoise_KSpval{params}_{epoch:04d}_{isample:04d}.txt',
pvals_per_hour)
for showfliers in (True, False):
fig = plt.figure(constrained_layout=True, figsize=(6, 4.8))
gs = fig.add_gridspec(2, 2)
ax1 = fig.add_subplot(gs[0, 0])
im = ax1.imshow(cond1.squeeze(), cmap=cmap, norm=plotnorm)
plt.title('cond 1')
plt.axis('off')
plt.colorbar(im)
ax2 = fig.add_subplot(gs[0, 1])
im = ax2.imshow(cond2.squeeze(), cmap=cmap, norm=plotnorm)
plt.title('cond 2')
plt.axis('off')
plt.colorbar(im)
ax3 = fig.add_subplot(gs[1, :])
sns.boxplot('hour',
'fraction',
hue='cond',
data=df,
ax=ax3,
showfliers=showfliers)
sns.despine()
plt.savefig(
f'{plotdir}/check_conditional_dist_samenoise_showfliers{showfliers}_{params}_{epoch:04d}_{isample:04d}.svg'
sites = [ii[0] for ii in tp]
disp0 = np.asarray([ii[1] for ii in tp]).flatten()
us0 = disp0[2::3]
ep = vj.EpochalDisplacement('cumu_post_with_seafloor.h5', filter_sites=sites)
disp1 = ep[0]
us1 = disp1[2::3]
plt.subplot(121)
bm = vj.MyBasemap(region_code='near')
mplt = vj.MapPlotDisplacement(basemap=bm)
mplt.plot_scalor(us0, sites, cmap='RdBu')
mplt = vj.MapPlotSlab(basemap=bm)
mplt.plot_top()
plt.clim([-1., 1.])
plt.subplot(122)
bm = vj.MyBasemap(region_code='near')
mplt = vj.MapPlotDisplacement(basemap=bm)
im = mplt.plot_scalor(us1, sites, cmap='RdBu')
mplt = vj.MapPlotSlab(basemap=bm)
mplt.plot_top()
plt.clim([-1., 1.])
divider = make_axes_locatable(plt.gca())
cax = divider.append_axes("right", size="5%", pad=0.05)
plt.colorbar(im, cax=cax)
plt.savefig('compare.pdf')
plt.show()
def runAnalysis( caseDirs , resultsDir , noReweight = False):
# Do a reference for each one
for refDir in caseDirs:
# ID of reference case
refID = refDir.split("/")[-1]
# User info
print "Doing PCA analysis with "+refDir+" as reference"
# Get the PCA limits of component 1-2 plot
limit = 10
with open(refDir+"/analysis/data/pca_limits_1", "r") as fi:
limit = int(float(fi.read()))
limit += 0.01
# Go through the case dirs to plot
for caseDir in caseDirs:
print "Using "+caseDir+" as case"
# ID of case
caseID = caseDir.split("/")[-1]
## PCA PLOTTING ON REF DIR PCA COMPONENTS
#########################################
# Create & run cpptraj for plotting all cases on the axes of the first eigenvector
# Good URLs for PCA in CPPTRAJ:
# http://archive.ambermd.org/201404/0243.html
# PCA plotter
pcaHandler = pcaFuncs.PCA(
resultsDir+"/plots/pcaComparison/PCA_"+caseID+"_on_"+refID+".pdf"
)
# Create new submission file
TEMPLATE = open( caseDir+"/ccptraj_analysis_pca.ptraj", 'r')
TEMP = TEMPLATE.read().replace("[PCAREFERENCE]", refDir )
TEMPLATE.close()
# Write the submission file
FILE = open(caseDir+"/ccptraj_analysis_pca.ptraj","w");
FILE.write( TEMP );
FILE.close();
# Run the cpptraj utility
os.system( "$AMBERHOME/bin/cpptraj -p "+caseDir+"/md-files/peptide_nowat.prmtop -i "+caseDir+"/ccptraj_analysis_pca.ptraj" )
# Do the plots of energy landscapes & distributions
pcaHandler.plotPCA(
"Case: "+caseID+". Ref case: "+refID, # Plot Title
caseDir+"/analysis/data/" , # Data Dir
"global_pca", # Eigenvector file
eigenVectorCount = 2, # Only plot two
plotDistibution = False, # Do not plot the distribution
limits = limit
)
# Save the plot
pcaHandler.savePlot()
## REWEIGHTING OF PCA PLOTS ON RED DIR PCA COMPONENTS
#####################################################
# Check if we should do a reweighted version
if noReweight == False:
if os.path.isfile( caseDir+"/md-logs/weights.dat" ):
# User info
print "aMD weights found. Now attempting 2D reweighting"
# Prepare input file
numLines = 0
with open(caseDir+"/analysis/data/global_pca", "r") as fi:
with open(caseDir+"/analysis/data/global_pca_singleColumn", "w") as fo:
next(fi)
for line in fi:
numLines += 1
fo.write( line.split()[1]+"\t"+line.split()[2]+"\n" )
# Set the discretization
reqBins = 100
discretization = (2*limit) / reqBins
# Get the max value of normal plot
maxValue = math.ceil(pcaHandler.getLatestMax())
# Run the reweighting procedure
command = "python $PLMDHOME/src/PyReweighting/PyReweighting-2D.py \
-input "+caseDir+"/analysis/data/global_pca_singleColumn \
-name "+caseDir+"/analysis/data/global_pca_singleColumn_reweighted \
-Xdim -"+str(limit)+" "+str(limit)+" \
-Ydim -"+str(limit)+" "+str(limit)+" \
-discX "+str(discretization)+" \
-discY "+str(discretization)+" \
-cutoff 10 \
-Emax "+str(maxValue)+" \
-job amdweight_CE \
-weight "+refDir+"/md-logs/weights.dat | tee -a reweight_variable.log"
print "Running command:", command
os.system( command )
# Create long file for PCA module
with open(caseDir+"/analysis/data/global_pca_reweightedDone", "w") as fo:
with open(caseDir+"/analysis/data/global_pca_singleColumn_reweighted-pmf-c2.dat", "r") as fi:
frame = 0
for line in fi:
temp = line.split()
entries = int(float(temp[2])*10)
for i in range(0,entries):
fo.write( str(frame) + "\t" + temp[0] + "\t" + temp[1] +"\n" )
frame += 1
# Print block analysis 'family' : 'Arial',
fig, ax = plt.subplots(figsize=(8, 8), nrows=1, ncols=1 )
font = {'weight' : 'normal','size' : 10}
plt.rc('font', **font)
# Now plot the 2d histogram
hist = np.load(caseDir+"/analysis/data/global_pca_singleColumn_reweighted_c2EnergyHist.npy")
xedges = np.load(caseDir+"/analysis/data/global_pca_singleColumn_reweighted_c2edgesX.npy")
yedges = np.load(caseDir+"/analysis/data/global_pca_singleColumn_reweighted_c2edgesY.npy")
# Remove points above limit
for jy in range(len(hist[0,:])):
for jx in range(len(hist[:,0])):
if hist[jx,jy] >= maxValue:
hist[jx,jy] = float("inf")
# Do plot
img = plt.imshow(hist.transpose(), interpolation='nearest', origin='lower',extent=[yedges[0], yedges[-1],xedges[0], xedges[-1]] , rasterized=True )
# create an axes on the right side of ax. The width of cax will be 5%
# of ax and the padding between cax and ax will be fixed at 0.05 inch.
divider = make_axes_locatable(ax)
cax = divider.append_axes("right", size="5%", pad=0.05)
# Create colorbar
colorbar = plt.colorbar(img, ax=ax, cax = cax)
colorbar.set_label("Kcal / mol")
# Set title, labels etc
plt.legend()
ax.set_xlabel("PC1", fontsize=12)
ax.set_ylabel("PC2", fontsize=12)
ax.set_title( "PCA. Case: "+caseID+" Reweighted. Ref case: "+refID )
plt.rc('font', **font)
# Save figure
fig.savefig(resultsDir+"/plots/pcaComparison/PCA_"+caseID+"_on_"+refID+"_reweighted.pdf")
## CLUSTER PLOTS ON PCA COMPONENTS
##################################
# Do both hier and dbscan
for clusterType in ["dbscan","hier"]:
# Instantiate the class
if os.path.isfile(caseDir+"/analysis/data/cluster_"+clusterType+"_out"):
print "Doing the "+clusterType+" cluster equivalent of the PCA plot"
# Start the cluster handler. Load the file declaring cluster for each frame
clusterHandler = cluster.clusterBase( caseDir+"/analysis/data/cluster_"+clusterType+"_out" )
# Separate the dataset.
# global_pca is the projection file for this case on the ref modes
numPCAdataSets = clusterHandler.separateDataSet(
caseDir+"/analysis/data/global_pca", # Input file
caseDir+"/analysis/data/cluster_"+clusterType+"_pca_", # Output files
xColumn = 1
)
# Create lists of labels and files for plotting
clusterLabels = []
clusterFiles = []
offset = 1 if clusterType == "hier" else 0
for i in range( 0+offset, numPCAdataSets+offset):
clusterLabels.append( "Cluster "+str(i) )
clusterFiles.append( caseDir+"/analysis/data/cluster_"+clusterType+"_pca_d2_c"+str(i) )
# First one is noise
if offset == 0:
clusterLabels[0] = "Noise"
myPlot.plotData(
resultsDir+"/plots/pcaComparison/" ,
clusterType+"_"+caseID+"_on_"+refID,
clusterLabels,
clusterFiles ,
"PC2",
xUnit = "PC1",
scatter = True,
legendLoc = 4,
figWidth = 8,
figHeight = 8,
tightXlimits = False,
legendFrame = 1,
legendAlpha = 1,
xLimits = [-limit,limit],
yLimits = [-limit,limit]
)
def plot_convictions(self):
# plt.figure()
plt.matshow(self.get_matrix_of_agents_convictions())
plt.colorbar()
plt.clim(-1, 1) # Sets the min/max limits of colorbar
plt.title("Convictions")
w = np.random.random((1000, len(symbols)))
w = (w.T / w.sum(axis=1)).T
w[:5]
pvr = [(port_volatility(rets[symbols],
weights), port_return(rets[symbols], weights))
for weights in w]
pvr = np.array(pvr)
psr = pvr[:, 1] / pvr[:, 0]
plt.figure(figsize=(10, 6))
fig = plt.scatter(pvr[:, 0], pvr[:, 1], c=psr, cmap='coolwarm')
cb = plt.colorbar(fig)
cb.set_label('Sharpe ratio')
plt.xlabel('expected volatility')
plt.ylabel('expected return')
plt.title(' | '.join(symbols))
# Import libraries
from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
# Creating dataset
z = pvr[:, 0]
x = pvr[:, 1]
y = psr
def plot_variable(u,
name,
direc,
cmap='gist_yarg',
scale='lin',
numLvls=12,
umin=None,
umax=None,
tp=False,
tpAlpha=0.5,
show=True,
hide_ax_tick_labels=False,
label_axes=True,
title='',
use_colorbar=True,
hide_axis=False,
colorbar_loc='right'):
"""
"""
mesh = u.function_space().mesh()
v = u.compute_vertex_values(mesh)
x = mesh.coordinates()[:, 0]
y = mesh.coordinates()[:, 1]
t = mesh.cells()
d = os.path.dirname(direc)
if not os.path.exists(d):
os.makedirs(d)
if umin != None:
vmin = umin
else:
vmin = v.min()
if umax != None:
vmax = umax
else:
vmax = v.max()
# countour levels :
if scale == 'log':
v[v < vmin] = vmin + 1e-12
v[v > vmax] = vmax - 1e-12
from matplotlib.ticker import LogFormatter
levels = np.logspace(np.log10(vmin), np.log10(vmax), numLvls)
formatter = LogFormatter(10, labelOnlyBase=False)
norm = colors.LogNorm()
elif scale == 'lin':
v[v < vmin] = vmin + 1e-12
v[v > vmax] = vmax - 1e-12
from matplotlib.ticker import ScalarFormatter
levels = np.linspace(vmin, vmax, numLvls)
formatter = ScalarFormatter()
norm = None
elif scale == 'bool':
from matplotlib.ticker import ScalarFormatter
levels = [0, 1, 2]
formatter = ScalarFormatter()
norm = None
fig = plt.figure(figsize=(8, 7))
ax = fig.add_subplot(111)
c = ax.tricontourf(x,
y,
t,
v,
levels=levels,
norm=norm,
cmap=pl.get_cmap(cmap))
plt.axis('equal')
if tp == True:
p = ax.triplot(x, y, t, 'k-', lw=0.25, alpha=tpAlpha)
ax.set_xlim([x.min(), x.max()])
ax.set_ylim([y.min(), y.max()])
if label_axes:
ax.set_xlabel(r'$x$')
ax.set_ylabel(r'$y$')
if hide_ax_tick_labels:
ax.set_xticklabels([])
ax.set_yticklabels([])
if hide_axis:
plt.axis('off')
# include colorbar :
if scale != 'bool' and use_colorbar:
divider = make_axes_locatable(plt.gca())
cax = divider.append_axes(colorbar_loc, "5%", pad="3%")
cbar = plt.colorbar(c, cax=cax, format=formatter, ticks=levels)
pl.mpl.rcParams['axes.titlesize'] = 'small'
tit = plt.title(title)
plt.tight_layout()
d = os.path.dirname(direc)
if not os.path.exists(d):
os.makedirs(d)
plt.savefig(direc + name + '.pdf')
if show:
plt.show()
plt.close(fig)
plt.imshow(cell_idx.cpu.reshape(grid_shape))
plt.subplot(231)
scale=[2*30,1.5*4][vol_preserve]
cpa_space.quiver(pts_grid,v_dense,scale, ds=16/2)
config_plt()
plt.subplot(232)
plt.imshow(v_dense.cpu[:,0].reshape(grid_shape),interpolation='Nearest',
vmin=v_dense.cpu[:,:].min(),vmax=v_dense.cpu[:,:].max());plt.colorbar()
# cpa_space.plot_cells()
config_plt()
plt.subplot(233)
plt.imshow(v_dense.cpu[:,1].reshape(grid_shape),interpolation='Nearest',
vmin=v_dense.cpu[:,:].min(),vmax=v_dense.cpu[:,:].max());plt.colorbar()
# cpa_space.plot_cells()
config_plt()
plt.subplot(235)
plt.imshow(v_dense.cpu[:,0].reshape(grid_shape),interpolation='Nearest',
vmin=v_dense.cpu[:,:].min(),vmax=v_dense.cpu[:,:].max());plt.colorbar()
cpa_space.plot_cells(color='k')
config_plt()
plt.subplot(236)
plt.imshow(v_dense.cpu[:,1].reshape(grid_shape),interpolation='Nearest',
# In[46]:
def port_vol(weights):
return np.sqrt(np.dot(weights.T, np.dot(rets.cov() * 252, weights)))
# In[47]:
prets = []
pvols = []
for p in range(2500):
weights = np.random.random(noa)
weights /= np.sum(weights)
prets.append(port_ret(weights))
pvols.append(port_vol(weights))
prets = np.array(prets)
pvols = np.array(pvols)
# In[48]:
plt.figure(figsize=(10, 6))
plt.scatter(pvols, prets, c=prets / pvols, marker='o', cmap='coolwarm')
plt.xlabel('Expected Volatility')
plt.ylabel('Expected Return')
plt.title(
'Expected Return and Volatility for Random Portfolio Weights (SPY, AAPL, MSFT, GLD)'
)
plt.colorbar(label='Sharpe Ratio')
stdx = 9
stdy = 3
sint = positionToIntensityUncertainty(img, stdx, stdy)
# CASE2: variable position uncertainty:
# x,y 0...15
stdx2 = np.fromfunction(lambda x, y: x * y, img.shape)
stdx2 /= stdx2[-1, -1] / 9
stdy2 = np.fromfunction(lambda x, y: x * y, img.shape)
stdy2 /= stdy2[-1, -1] / 9
stdy2 = stdy2[::-1, ::-1] # flip content twice
sint2 = positionToIntensityUncertainty(img, stdx2, stdy2, 21)
if 'no_window' not in sys.argv:
plt.figure('input')
plt.imshow(img)
plt.colorbar()
plt.figure('output for const. position uncertainty (x%s,y%s)' %
(stdx, stdy))
plt.imshow(sint)
plt.colorbar()
plt.figure('output for var. position uncertainty 0...15')
plt.imshow(sint2)
plt.colorbar()
plt.show()