def __convertToFloats__(self, signal, annotation, time):
"""
method converts all string values in signal, annotation arrays
into float values;
here is one assumption: time array is in float format already
"""
floats = pl.ones(len(signal))
if annotation == None:
entities = zip(signal)
else:
entities = zip(signal, annotation)
for idx, values in enumerate(entities):
for value in values:
try:
pl.float64(value) # check if it can be converted to float
except ValueError:
floats[idx] = 0 # the value is NOT like float type
break
true_floats = pl.nonzero(floats) # get indexes of non-zero positions
signal = signal[true_floats].astype(float)
if not annotation == None:
annotation = annotation[true_floats].astype(float)
if not time == None:
time = time[true_floats]
return signal, annotation, time
def __convertToFloats__(self, signal, annotation, time):
"""
method converts all string values in signal, annotation arrays
into float values;
here is one assumption: time array is in float format already
"""
floats = pl.ones(len(signal))
if annotation == None:
entities = zip(signal)
else:
entities = zip(signal, annotation)
for idx, values in enumerate(entities):
for value in values:
try:
pl.float64(value) # check if it can be converted to float
except ValueError:
floats[idx] = 0 # the value is NOT like float type
break
true_floats = pl.nonzero(floats) # get indexes of non-zero positions
signal = signal[true_floats].astype(float)
if not annotation == None:
annotation = annotation[true_floats].astype(float)
if not time == None:
time = time[true_floats]
return signal, annotation, time
def find_gt_ranks(self, out_ranks, ground_truth_keys=None):
"""
::
Return ranks matrix for ground-truth columns only
"""
r = out_ranks.argsort()
lzt_keys, lzt_len = self.get_adb_lists()
gt_idx = [lzt_keys.index(s) for s in ground_truth_keys]
ranks = pylab.zeros((len(gt_idx),len(gt_idx)))
for i in pylab.arange(len(gt_idx)):
for j in pylab.arange(len(gt_idx)):
ranks[i][j]=pylab.nonzero(r[i]==gt_idx[j])[0][0]
return ranks
def find_gt_ranks(self, out_ranks, ground_truth_keys=None):
"""
::
Return ranks matrix for ground-truth columns only
"""
r = out_ranks.argsort()
lzt_keys, lzt_len = self.get_adb_lists()
gt_idx = [lzt_keys.index(s) for s in ground_truth_keys]
ranks = pylab.zeros((len(gt_idx),len(gt_idx)))
for i in pylab.arange(len(gt_idx)):
for j in pylab.arange(len(gt_idx)):
ranks[i][j]=pylab.nonzero(r[i]==gt_idx[j])[0][0]
return ranks
def obs_lb(value=value, N=N,
Xa=Xa, Xb=Xb,
alpha=alpha, beta=beta, gamma=gamma,
bounds_func=vars['bounds_func'],
delta=delta,
age_indices=ai,
age_weights=aw):
# calculate study-specific rate function
shifts = pl.exp(pl.dot(Xa, alpha) + pl.dot(Xb, pl.atleast_1d(beta)))
exp_gamma = pl.exp(gamma)
mu_i = [pl.dot(weights, bounds_func(s_i * exp_gamma[ages], ages)) for s_i, ages, weights in zip(shifts, age_indices, age_weights)] # TODO: try vectorizing this loop to increase speed
rate_param = mu_i*N
violated_bounds = pl.nonzero(rate_param < value)
logp = mc.negative_binomial_like(value[violated_bounds], rate_param[violated_bounds], delta)
return logp
def get_pearson_corr(ch1, ch2, images, images_l, fn1, fn2):
# computer correlation for non mainpulated images.
ch1fp = {}
ch2fp = {}
ch1l = {}
ch2l = {}
for ch_ind in range(1, 97):
ch1fp[ch_ind] = []
ch2fp[ch_ind] = []
ch1l[ch_ind] = []
ch2l[ch_ind] = []
# ch1fp[ch_ind].append(ch1[ch_ind]['bl_mu'])
# ch2fp[ch_ind].append(ch2[ch_ind]['bl_mu'])
for imname in images:
ch1fp[ch_ind].append(ch1[ch_ind][imname]["fr_mu"]) # -ch1[ch_ind]['bl_mu'])
ch2fp[ch_ind].append(ch2[ch_ind][imname]["fr_mu"]) # -ch1[ch_ind]['bl_mu'])
for imname in images_l:
ch1l[ch_ind].append(ch1[ch_ind][imname]["fr_mu"])
ch2l[ch_ind].append(ch2[ch_ind][imname]["fr_mu"])
chrho = []
for ch_ind in range(1, 97):
# print ch1fp[ch_ind]
# print np.array(ch2fp[ch_ind]).flatten()
chrho.append(pearsonr(np.array(ch1fp[ch_ind]).flatten(), np.array(ch2fp[ch_ind]).flatten())[0])
# print np.array(chrho)
# print pl.shape(np.array(chrho))
fig_corr_a = pl.figure(5)
s_p_a = fig_corr_a.add_subplot(1, 2, 1)
s_p_a.imshow(np.reshape(np.array(chrho), (8, 12)), norm=None, vmin=0, vmax=1, cmap=pl.cm.gray, interpolation=None)
s_p_b = fig_corr_a.add_subplot(1, 2, 2)
s_p_b.hist(np.array(chrho), bins=np.arange(-1.1, 1.1, 0.1))
sig_channels = pl.nonzero(np.array(chrho) > 0.85)[0] + 1
fig_corr_b = pl.figure(6)
for n_plot in range(len(sig_channels)):
s_p_temp = fig_corr_b.add_subplot(5, 5, n_plot + 1)
s_p_temp.plot(
np.array(ch1fp[sig_channels[n_plot]]).flatten(), np.array(ch2fp[sig_channels[n_plot]]).flatten(), "k."
)
s_p_temp.plot(
np.array(ch1l[sig_channels[n_plot]]).flatten(), np.array(ch2l[sig_channels[n_plot]]).flatten(), "r."
)
s_p_temp.plot(ch1[sig_channels[n_plot]]["bl_mu"], ch2[sig_channels[n_plot]]["bl_mu"], "kx")
s_p_temp.plot([0, 100], [0, 100], "k-")
t = fn1.split(".")[0] + "v" + fn2.split(".")[0].split("_")[-1]
fig_corr_a.savefig("./plots/" + t + "corr_a.pdf")
fig_corr_b.savefig("./plots/" + t + "corr_b.pdf")
return sig_channels
def _on_select(self, epress, erelease):
start = (int(epress.xdata), int(epress.ydata))
stop = (int(erelease.xdata), int(erelease.ydata))
self.__rect = start + (stop[0]-start[0], stop[1]-start[1])
if self.mode == 'peak':
ax = self.__axes
data_matrix = ax.axes.get_images()[0].get_array()
clip_matrix = data_matrix[start[1]:(stop[1]+1), start[0]:(stop[0]+1)]
peak_pos = nonzero(clip_matrix == clip_matrix.max())
peak_pos = (peak_pos[1][0] + start[0], peak_pos[0][0] + start[1])
self.__peakpos = peak_pos
circle = Circle(peak_pos, 4, **self.indicatorProps)
ax.add_patch(circle)
self.__canvas.draw()
self.callback(self.__rect, self.__peakpos)
def _on_select(self, epress, erelease):
start = (int(epress.xdata), int(epress.ydata))
stop = (int(erelease.xdata), int(erelease.ydata))
self.__rect = start + (stop[0] - start[0], stop[1] - start[1])
if self.mode == 'peak':
ax = self.__axes
data_matrix = ax.axes.get_images()[0].get_array()
clip_matrix = data_matrix[start[1]:(stop[1] + 1),
start[0]:(stop[0] + 1)]
peak_pos = nonzero(clip_matrix == clip_matrix.max())
peak_pos = (peak_pos[1][0] + start[0], peak_pos[0][0] + start[1])
self.__peakpos = peak_pos
circle = Circle(peak_pos, 4, **self.indicatorProps)
ax.add_patch(circle)
self.__canvas.draw()
self.callback(self.__rect, self.__peakpos)
def _generate_basis2(self):
"""
This method generates a basis of the linear manifold w.r.t the canonical basis
Each basis vector leaves in the ambiant space dimension and the number
of vectors is equal to intrinsic dimension.
"""
#First get the canonical basis that are not needed to span the linear manifold
nonzero_indexes = pl.nonzero(
self.slope) # this must be of length self.intrinsic_dimension
assert (len(nonzero_indexes) == self.intrinsic_dimension)
# now pick one of the dimension for the denominator, pick the biggest for stability
denominator_index = abs(self.slope).argmax()
denominator_value = self.slope[denominator_index]
basis = [
SparseVector([nonzero_indexes[i], self.ambiant_dimension - 1],
[1, -self.slope[nonzero_indexes[i]]],
self.ambiant_dimension)
for i in set_minus(nonzero_indexes, [denominator_index])
]
return basis
def sim():
global V, Vlin, tao_e, Rar, Rmr
Rar = pl.arange(Ras[0], Ras[1], Ras[2])
Rmr = pl.arange(Rms[0], Rms[1], Rms[2])
ns.mech.setcurrent(Ie * Ies, ns.dt)
li = len(Rmr)
lj = len(Rar)
tao_e = pl.empty((li, lj))
tao_l = pl.empty((li, lj))
tao_n = pl.empty((li, lj))
for i in range(li):
for j in range(lj):
#Special conditions
if Rar[j] < 10.:
sec.L(15000.)
else:
sec.L(7000.)
if Rmr[i] > 5000.:
ns.h.tstop = 50.
else:
ns.h.tstop = 20.
sec.Rm(Rmr[i])
sec.Ra(Rar[j])
print Rmr[i], Rar[j]
ns.sim()
#Obtain voltage, steady state voltage, normalize and
#get logarithmic values
t = ns.t
Vinf = sec.nrnV0[-1]
V = 1 - pl.array(sec.nrnV0)[:-1] / Vinf
Vlin = pl.log(V)
print Vinf
#Estimate the time constant finding the
#point at witch the voltage reaches the
#value 1/e
nz, = pl.nonzero(V > (1 / pl.e))
#The time where V ~ 1/e is the point
#right after the last nz
tao_e[i, j] = t[nz[-1] + 1] - tstart
print 'tao_e', tao_e[i, j]
#Define least squares data interval and
#make the pulse starting time to be zero
i0 = int(t0 / ns.dt)
i1 = int(t1 / ns.dt)
t01 = t[:i1 - i0]
V01 = V[i0:i1]
Vlin01 = Vlin[i0:i1]
#Linear least squares
A = pl.c_[t01, pl.ones_like(t01)]
m, c = pl.lstsq(A, Vlin01.copy())[0]
tao_l[i, j] = -1. / m - tstart
print 'tao_l', tao_l[i, j], '(', m, c, pl.exp(c), ')'
#Parametric function: v is the parameter vector and
#x the independent varible
fp = lambda p, t: p[0] * pl.exp(p[1] * t)
#fp = lambda p, t: p[0]*pl.exp(p[1]*t) + p[2]*pl.exp(p[3]*t)
#fp = lambda p, t: pl.exp(p[0]*t)
#Error function
e = lambda p, t, V: (fp(p, t) - V)
#Initial parameter guess
p0 = [1., -5.]
#p0 = [1., -5., 1., -1.]
#p0 = [-5.]
#Fitting
p, success = leastsq(e, p0, args=(t01, V01), maxfev=10000)
tao_n[i, j] = -1. / p[1] - tstart
print 'tao_n', tao_n[i, j], '(', p, success, ')'
"""
V_dend = np.diag(np.dot(PSP_mat, w))
for k in range(N):
V_som[k] = (1.0 - dt / tau) * V_som[k] + g_d * (
V_dend[k] - 1 * V_som[k]) + np.dot(-w_inh[k, :], f)
V_dend_list[:, i] = V_dend
for k in range(N):
f[k] = g(V_som[k]) #*max_rate
f_list[:, i] = f #/max_rate
chunk1_start = np.array(chunk_start[0])
chunk2_start = np.array(chunk_start[1])
chunk3_start = np.array(chunk_start[2])
tspk, nspk = pl.nonzero(id == 1)
###################
##
## Plotting
##
###################
max1 = np.zeros(N)
min1 = np.zeros(N)
for i in range(N):
max1[i] = np.max(f_list[i, 0:sample_len])
min1[i] = np.min(f_list[i, 0:sample_len])
avg_norm1 = np.zeros((N, sample_len))
for i in range(N):
def on_click(self,event):
if not event.inaxes:
self.xy=[]
return
self.x,self.y=int(event.xdata), int(event.ydata)
self.key=event.key
self.xx.append([self.x])
self.yy.append([self.y])
self.xy.append([self.y,self.x])
self.lc.set_data(self.xx,self.yy)
if self.key=='m':
print 'masking'
self.xx[-1]=self.xx[0]
self.yy[-1]=self.yy[0]
self.xy[-1]=self.xy[0]
ind=p.nonzero(points_inside_poly(self.points,self.xy))
self.mymask=self.mymask.reshape(self.lx*self.ly,1)
self.mymask[ind]=1
self.mymask=self.mymask.reshape(self.lx,self.ly)
datamasked=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datamasked)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='u':
print 'unmasking'
self.xx[-1]=self.xx[0]
self.yy[-1]=self.yy[0]
self.xy[-1]=self.xy[0]
ind=p.nonzero(points_inside_poly(self.points,self.xy))
self.mymask=self.mymask.reshape(self.lx*self.ly,1)
self.mymask[ind]=0
self.mymask=self.mymask.reshape(self.lx,self.ly)
datanew=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datanew)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='r':
print 'unmasking all'
self.mymask=0*self.mymask
datanew=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datanew)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='k':
print 'save and exit'
self.save_mask()
print 'Mask saved in file:', self.mask_file
# mask_f=EdfFile.EdfFile(self.mask_file)
# mask_f.WriteImage({},self.mymask,0)
# mask_f.WriteImage({},self.automask,1)
# mask_f.WriteImage({},self.anisotropic_mask,2)
# del(mask_f)
p.close()
return self.mymask+self.automask
if self.key=='q':
print 'exit without saving'
p.close()
return self.old_mymask+self.old_automask
# Programa de Franco Benassi
# Proyecto #3 Interfaces Graficas 2020
# Ejercicio 1
from pylab import e, figure, meshgrid, linspace, nonzero, title, show, sqrt, sin, cos
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as pt
import numpy as np
#1A
x = linspace(-6, 4, 100)
y = linspace(-5, 4, 100)
u, v = meshgrid(x, y)
figura = figure()
z = sqrt(4 - (u**2) + (v**2))
z[nonzero(z < 0)] = 0
#especificamos que vamos a graficar en 3D
ax = figura.gca(projection='3d')
ax.plot_surface(u, v, z, color='blue')
title('Figura A')
show()
#1B
figura = figure()
ax = Axes3D(figura)
x = linspace(-8, 4, 100)
y = linspace(-8, 4, 100)
x, y = np.meshgrid(x, y)
def on_click(self,event):
if not event.inaxes:
self.xy=[]
return
self.x,self.y=int(event.xdata), int(event.ydata)
self.key=event.key
self.xx.append([self.x])
self.yy.append([self.y])
self.xy.append([self.y,self.x])
self.lc.set_data(self.xx,self.yy)
if self.key=='m':
print 'masking'
self.xx[-1]=self.xx[0]
self.yy[-1]=self.yy[0]
self.xy[-1]=self.xy[0]
previously_masked = self.mymask.sum()
#ind=p.nonzero(points_inside_poly(self.points,self.xy))
verts = []
codes = []
#print self.xy # these are the masked vertices
for xy in self.xy:
verts.append(xy)
codes.append(Path.LINETO)
codes[0] = Path.MOVETO
codes[-1] = Path.CLOSEPOLY # need extra empty element?
masked_path = Path(verts, codes)
self.mymask=self.mymask.reshape(self.lx*self.ly,1)
inds = []
#icnt = 0
#print self.points # these are the whole detector array
for point in self.points:
#ind = p.nonzero(masked_path.contains_point(point))
inds.append(masked_path.contains_point(point))
#icnt += 1
self.mymask[p.nonzero(inds)]=1
self.mymask=self.mymask.reshape(self.lx,self.ly)
#print icnt
print "masked out %d pixels (%d already masked)" % (self.mymask.sum()-previously_masked, n.sum(inds)+previously_masked-self.mymask.sum())
datamasked=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datamasked)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='u':
print 'unmasking'
self.xx[-1]=self.xx[0]
self.yy[-1]=self.yy[0]
self.xy[-1]=self.xy[0]
previously_masked = self.mymask.sum()
#ind=p.nonzero(points_inside_poly(self.points,self.xy))
verts = []
codes = []
#print self.xy # these are the masked vertices
for xy in self.xy:
verts.append(xy)
codes.append(Path.LINETO)
codes[0] = Path.MOVETO
codes[-1] = Path.CLOSEPOLY # need extra empty element?
masked_path = Path(verts, codes)
self.mymask=self.mymask.reshape(self.lx*self.ly,1)
inds = []
#print self.points # these are the whole detector array
for point in self.points:
inds.append(masked_path.contains_point(point))
self.mymask[p.nonzero(inds)]=0
self.mymask=self.mymask.reshape(self.lx,self.ly)
print "ummasked %d pixels (%d already unmasked)" % (previously_masked-self.mymask.sum(), n.sum(inds)-previously_masked+self.mymask.sum())
datanew=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datanew)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='r':
print 'unmasking all'
self.mymask=0*self.mymask
datanew=masked_array(self.data,self.mymask+self.automask+self.anisotropic_mask)
self.im.set_data(datanew)
self.xx=[]
self.yy=[]
self.xy=[]
self.lc.set_data(self.xx,self.yy)
self.lm.set_data(self.xx,self.yy)
# self.im.set_clim(vmax=(2*self.data.mean()))
self.im.autoscale()
p.draw()
self.x=0
self.y=0
if self.key=='k':
print 'save and exit'
self.save_mask()
print 'Mask saved in file:', self.mask_file
# mask_f=EdfFile.EdfFile(self.mask_file)
# mask_f.WriteImage({},self.mymask,0)
# mask_f.WriteImage({},self.automask,1)
# mask_f.WriteImage({},self.anisotropic_mask,2)
# del(mask_f)
p.close()
return self.mymask+self.automask
if self.key=='q':
print 'exit without saving'
p.close()
return self.old_mymask+self.old_automask
# resample zwift power onto edge
CrossPlotFig = plt.figure()
sc = plt.scatter(edge_power_x, zwift_power_r_r, s=5, c=base_t, \
cmap=plt.get_cmap('brg'), edgecolors='face' )
plt.colorbar(orientation='horizontal')
plt.title('Infocrank Vs PowerTap P1 Over Time (sec)\n(delay removed)')
plt.xlabel('PowerTap P1 (w)')
plt.ylabel('Infocrank via Zwift (w)')
plt.grid(b=True, which='major', axis='both')
a = plt.axis()
plt.axis([0, a[1], 0, a[3]])
plt.show()
#
# linear regression
#
from pylab import polyfit, average, ones, where, logical_and, nonzero
ii = nonzero( logical_and( base_t>=0, \
logical_and(edge_power_x>50, \
edge_power_x<1000) ))
x = edge_power_x[ii]
y = zwift_power_r_r[ii]
coef = polyfit(x, y, deg=1)
slope = coef[0]
offset = coef[1]
print 'slope = %5.3f, offset = %i' % (slope, offset)
y_fit = slope * x + offset
color = average(edge_t[ii]) * ones(len(edge_t[ii]))
plt.plot(x, y_fit, 'k-')
plt.show()
I_syn = (1.0 - dt / tau_syn) * I_syn
I_syn[spike_mat[:, i]] += 1 / tau / tau_syn
PSP = (1.0 - dt / tau) * PSP + I_syn
PSP_unit = PSP * 25
for l in range(N):
synaptic_input_matrix[l * n_in:(l + 1) * n_in, i] = PSP_unit * w[:, l]
V_dend = np.dot(w.T, PSP_unit)
V_som = (1.0 - dt * g_L) * V_som + g_d * (V_dend - V_som) + np.dot(
-w_inh, f)
for k in range(N):
f[k] = g(V_som[k])
f_list[:, i] = f
nspk_random, tspk_random = pl.nonzero(random_mat[0:200, :] == 1)
nspk1, tspk1 = pl.nonzero(pat1_mat[0:200, :] == 1)
nspk2, tspk2 = pl.nonzero(pat2_mat[0:200, :] == 1)
nspk3, tspk3 = pl.nonzero(pat3_mat[0:200, :] == 1)
fig = plt.figure(figsize=(7, 2))
ax = fig.add_subplot(111)
for i in pat1_start:
plt.vlines([i], 0, n_in, "dodgerblue", linestyles='dashed', lw=1)
if i + width < plot_len:
plt.vlines([i + width],
0,
n_in,
"dodgerblue",
linestyles='dashed',
lw=1)
def sim():
global V,Vlin,tao_e,Rar,Rmr
Rar = pl.arange(Ras[0],Ras[1],Ras[2])
Rmr = pl.arange(Rms[0],Rms[1],Rms[2])
ns.mech.setcurrent(Ie*Ies,ns.dt)
li = len(Rmr)
lj = len(Rar)
tao_e = pl.empty((li,lj))
tao_l = pl.empty((li,lj))
tao_n = pl.empty((li,lj))
for i in range(li):
for j in range(lj):
#Special conditions
if Rar[j] < 10.:
sec.L(15000.)
else:
sec.L(7000.)
if Rmr[i] > 5000.:
ns.h.tstop = 50.
else:
ns.h.tstop = 20.
sec.Rm(Rmr[i])
sec.Ra(Rar[j])
print Rmr[i],Rar[j]
ns.sim()
#Obtain voltage, steady state voltage, normalize and
#get logarithmic values
t = ns.t
Vinf = sec.nrnV0[-1]
V = 1 - pl.array(sec.nrnV0)[:-1]/Vinf
Vlin = pl.log(V)
print Vinf
#Estimate the time constant finding the
#point at witch the voltage reaches the
#value 1/e
nz, = pl.nonzero(V>(1/pl.e))
#The time where V ~ 1/e is the point
#right after the last nz
tao_e[i,j] = t[nz[-1]+1] - tstart
print 'tao_e',tao_e[i,j]
#Define least squares data interval and
#make the pulse starting time to be zero
i0 = int(t0/ns.dt)
i1 = int(t1/ns.dt)
t01 = t[:i1-i0]
V01 = V[i0:i1]
Vlin01 = Vlin[i0:i1]
#Linear least squares
A = pl.c_[t01,pl.ones_like(t01)]
m, c = pl.lstsq(A, Vlin01.copy())[0]
tao_l[i,j] = -1./m - tstart
print 'tao_l',tao_l[i,j],'(',m, c, pl.exp(c),')'
#Parametric function: v is the parameter vector and
#x the independent varible
fp = lambda p, t: p[0]*pl.exp(p[1]*t)
#fp = lambda p, t: p[0]*pl.exp(p[1]*t) + p[2]*pl.exp(p[3]*t)
#fp = lambda p, t: pl.exp(p[0]*t)
#Error function
e = lambda p, t, V: (fp(p,t)-V)
#Initial parameter guess
p0 = [1., -5.]
#p0 = [1., -5., 1., -1.]
#p0 = [-5.]
#Fitting
p, success = leastsq(e, p0, args=(t01,V01), maxfev=10000)
tao_n[i,j] = -1./p[1] - tstart
print 'tao_n',tao_n[i,j],'(',p,success,')'
"""
