def plot_sciencepark_cluster():
stations = range(501, 507)
cluster = clusters.ScienceParkCluster(stations)
figure()
x_list, y_list = [], []
x_stations, y_stations = [], []
for station in cluster.stations:
x_detectors, y_detectors = [], []
for detector in station.detectors:
x, y = detector.get_xy_coordinates()
x_detectors.append(x)
y_detectors.append(y)
scatter(x, y, c='black', s=3)
x_list.extend(x_detectors)
y_list.extend(y_detectors)
x_stations.append(mean(x_detectors))
y_stations.append(mean(y_detectors))
axis('equal')
cluster = clusters.ScienceParkCluster([501, 503, 506])
pos = []
for station in cluster.stations:
x, y, alpha = station.get_xyalpha_coordinates()
pos.append((x, y))
for (x0, y0), (x1, y1) in itertools.combinations(pos, 2):
plot([x0, x1], [y0, y1], 'gray')
utils.savedata([x_list, y_list])
utils.saveplot()
artist.utils.save_data([x_list, y_list], suffix='detectors',
dirname='plots')
artist.utils.save_data([stations, x_stations, y_stations],
suffix='stations', dirname='plots')
def boxplot_arrival_times(group, N):
table = group.E_1PeV.zenith_0
sel = table.read_where('min_n134 >= N')
t1 = sel[:]['t1']
t3 = sel[:]['t3']
t4 = sel[:]['t4']
ts = concatenate([t1, t3, t4])
print "Median arrival time delay over all detected events", median(ts)
figure()
bin_edges = linspace(0, 100, 11)
x, arrival_times = [], []
t25, t50, t75 = [], [], []
for low, high in zip(bin_edges[:-1], bin_edges[1:]):
query = '(min_n134 >= N) & (low <= r) & (r < high)'
sel = table.read_where(query)
t1 = sel[:]['t1']
t2 = sel[:]['t2']
ct1 = t1.compress((t1 > -999) & (t2 > -999))
ct2 = t2.compress((t1 > -999) & (t2 > -999))
ts = abs(ct2 - ct1)
t25.append(scoreatpercentile(ts, 25))
t50.append(scoreatpercentile(ts, 50))
t75.append(scoreatpercentile(ts, 75))
x.append((low + high) / 2)
fill_between(x, t25, t75, color='0.75')
plot(x, t50, 'o-', color='black')
xlabel("Core distance [m]")
ylabel("Arrival time delay [ns]")
#title(r"$N_{MIP} \geq %d, \quad \theta = 0^\circ$" % N)
xticks(arange(0, 100.5, 10))
utils.savedata((x, t25, t50, t75), N)
utils.saveplot(N)
graph = GraphArtist()
graph.shade_region(x, t25, t75)
graph.plot(x, t50, linestyle=None)
graph.set_xlabel(r"Core distance [\si{\meter}]")
graph.set_ylabel(
r"Arrival time difference $|t_2 - t_1|$ [\si{\nano\second}]")
graph.set_xlimits(0, 100)
graph.set_ylimits(min=0)
artist.utils.save_graph(graph, suffix=N, dirname='plots')
def boxplot_arrival_times(group, N):
table = group.E_1PeV.zenith_0
sel = table.read_where('min_n134 >= N')
t1 = sel[:]['t1']
t3 = sel[:]['t3']
t4 = sel[:]['t4']
ts = concatenate([t1, t3, t4])
print "Median arrival time delay over all detected events", median(ts)
figure()
bin_edges = linspace(0, 100, 11)
x, arrival_times = [], []
t25, t50, t75 = [], [], []
for low, high in zip(bin_edges[:-1], bin_edges[1:]):
query = '(min_n134 >= N) & (low <= r) & (r < high)'
sel = table.read_where(query)
t1 = sel[:]['t1']
t2 = sel[:]['t2']
ct1 = t1.compress((t1 > -999) & (t2 > -999))
ct2 = t2.compress((t1 > -999) & (t2 > -999))
ts = abs(ct2 - ct1)
t25.append(scoreatpercentile(ts, 25))
t50.append(scoreatpercentile(ts, 50))
t75.append(scoreatpercentile(ts, 75))
x.append((low + high) / 2)
fill_between(x, t25, t75, color='0.75')
plot(x, t50, 'o-', color='black')
xlabel("Core distance [m]")
ylabel("Arrival time delay [ns]")
#title(r"$N_{MIP} \geq %d, \quad \theta = 0^\circ$" % N)
xticks(arange(0, 100.5, 10))
utils.savedata((x, t25, t50, t75), N)
utils.saveplot(N)
graph = GraphArtist()
graph.shade_region(x, t25, t75)
graph.plot(x, t50, linestyle=None)
graph.set_xlabel(r"Core distance [\si{\meter}]")
graph.set_ylabel(r"Arrival time difference $|t_2 - t_1|$ [\si{\nano\second}]")
graph.set_xlimits(0, 100)
graph.set_ylimits(min=0)
artist.utils.save_graph(graph, suffix=N, dirname='plots')
def save_for_kascade_boxplot_core_distances_for_mips(group):
table = group.E_1PeV.zenith_22_5
r25_list = []
r50_list = []
r75_list = []
x = []
for N in range(1, 5):
sel = table.read_where('(min_n134 == N) & (r <= 80)')
r = sel[:]['r']
r25_list.append(scoreatpercentile(r, 25))
r50_list.append(scoreatpercentile(r, 50))
r75_list.append(scoreatpercentile(r, 75))
x.append(N)
utils.savedata((x, r25_list, r50_list, r75_list))
def save_for_kascade_boxplot_core_distances_for_mips(group):
table = group.E_1PeV.zenith_22_5
r25_list = []
r50_list = []
r75_list = []
x = []
for N in range(1, 5):
sel = table.read_where('(min_n134 == N) & (r <= 80)')
r = sel[:]['r']
r25_list.append(scoreatpercentile(r, 25))
r50_list.append(scoreatpercentile(r, 50))
r75_list.append(scoreatpercentile(r, 75))
x.append(N)
utils.savedata((x, r25_list, r50_list, r75_list))
def plot_uncertainty_core_distance(group):
table = group.E_1PeV.zenith_22_5
N = 2
DR = 10
figure()
x, y, y2 = [], [], []
for R in range(0, 81, 20):
x.append(R)
events = table.read_where('(min_n134 == N) & (abs(r - R) <= DR)')
print len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append(
(scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) /
2)
y2.append(
(scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) /
2)
print
print "R: theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Plots
plot(x, rad2deg(y), '^-', label="Theta")
plot(x, rad2deg(y2), 'v-', label="Phi")
# Labels etc.
xlabel("Core distance [m] $\pm %d$" % DR)
ylabel("Angle reconstruction uncertainty [deg]")
#title(r"$N_{MIP} = %d, \theta = 22.5^\circ$" % N)
ylim(ymin=0)
legend(numpoints=1, loc='best')
utils.saveplot()
print
def plot_reconstruction_efficiency_vs_R_for_angles(N):
group = data.root.reconstructions.E_1PeV
figure()
bin_edges = linspace(0, 100, 10)
x = (bin_edges[:-1] + bin_edges[1:]) / 2.
all_data = []
for angle in [0, 22.5, 35]:
angle_str = str(angle).replace('.', '_')
shower_group = '/simulations/E_1PeV/zenith_%s' % angle_str
reconstructions = group._f_get_child('zenith_%s' % angle_str)
efficiencies = []
for low, high in zip(bin_edges[:-1], bin_edges[1:]):
shower_results = []
for shower in data.list_nodes(shower_group):
sel_query = '(low <= r) & (r < high)'
coinc_sel = shower.coincidences.read_where(sel_query)
ids = coinc_sel['id']
obs_sel = shower.observables.read_coordinates(ids)
assert (obs_sel['id'] == ids).all()
o = obs_sel
sel = obs_sel.compress((o['n1'] >= N) & (o['n3'] >= N)
& (o['n4'] >= N))
shower_results.append(len(sel))
ssel = reconstructions.read_where(
'(min_n134 >= N) & (low <= r) & (r < high)')
efficiencies.append(len(ssel) / sum(shower_results))
all_data.append(efficiencies)
plot(x, efficiencies, label=r'$\theta = %s^\circ$' % angle)
xlabel("Core distance [m]")
ylabel("Reconstruction efficiency")
#title(r"$N_{MIP} \geq %d$" % N)
legend()
utils.saveplot(N)
utils.savedata(array([x] + all_data).T, suffix=N)
def plot_reconstruction_efficiency_vs_R_for_angles(N):
group = data.root.reconstructions.E_1PeV
figure()
bin_edges = linspace(0, 100, 10)
x = (bin_edges[:-1] + bin_edges[1:]) / 2.
all_data = []
for angle in [0, 22.5, 35]:
angle_str = str(angle).replace('.', '_')
shower_group = '/simulations/E_1PeV/zenith_%s' % angle_str
reconstructions = group._f_get_child('zenith_%s' % angle_str)
efficiencies = []
for low, high in zip(bin_edges[:-1], bin_edges[1:]):
shower_results = []
for shower in data.list_nodes(shower_group):
sel_query = '(low <= r) & (r < high)'
coinc_sel = shower.coincidences.read_where(sel_query)
ids = coinc_sel['id']
obs_sel = shower.observables.read_coordinates(ids)
assert (obs_sel['id'] == ids).all()
o = obs_sel
sel = obs_sel.compress((o['n1'] >= N) & (o['n3'] >= N) &
(o['n4'] >= N))
shower_results.append(len(sel))
ssel = reconstructions.read_where('(min_n134 >= N) & (low <= r) & (r < high)')
efficiencies.append(len(ssel) / sum(shower_results))
all_data.append(efficiencies)
plot(x, efficiencies, label=r'$\theta = %s^\circ$' % angle)
xlabel("Core distance [m]")
ylabel("Reconstruction efficiency")
#title(r"$N_{MIP} \geq %d$" % N)
legend()
utils.saveplot(N)
utils.savedata(array([x] + all_data).T, suffix=N)
def plot_uncertainty_core_distance(group):
table = group.E_1PeV.zenith_22_5
N = 2
DR = 10
figure()
x, y, y2 = [], [], []
for R in range(0, 81, 20):
x.append(R)
events = table.read_where('(min_n134 == N) & (abs(r - R) <= DR)')
print len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append((scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) / 2)
y2.append((scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) / 2)
print
print "R: theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Plots
plot(x, rad2deg(y), '^-', label="Theta")
plot(x, rad2deg(y2), 'v-', label="Phi")
# Labels etc.
xlabel("Core distance [m] $\pm %d$" % DR)
ylabel("Angle reconstruction uncertainty [deg]")
#title(r"$N_{MIP} = %d, \theta = 22.5^\circ$" % N)
ylim(ymin=0)
legend(numpoints=1, loc='best')
utils.saveplot()
print
def plot_sciencepark_cluster():
stations = range(501, 507)
cluster = clusters.ScienceParkCluster(stations)
figure()
x_list, y_list = [], []
x_stations, y_stations = [], []
for station in cluster.stations:
x_detectors, y_detectors = [], []
for detector in station.detectors:
x, y = detector.get_xy_coordinates()
x_detectors.append(x)
y_detectors.append(y)
scatter(x, y, c='black', s=3)
x_list.extend(x_detectors)
y_list.extend(y_detectors)
x_stations.append(mean(x_detectors))
y_stations.append(mean(y_detectors))
axis('equal')
cluster = clusters.ScienceParkCluster([501, 503, 506])
pos = []
for station in cluster.stations:
x, y, alpha = station.get_xyalpha_coordinates()
pos.append((x, y))
for (x0, y0), (x1, y1) in itertools.combinations(pos, 2):
plot([x0, x1], [y0, y1], 'gray')
utils.savedata([x_list, y_list])
utils.saveplot()
artist.utils.save_data([x_list, y_list],
suffix='detectors',
dirname='plots')
artist.utils.save_data([stations, x_stations, y_stations],
suffix='stations',
dirname='plots')
def plot_N_vs_R(data):
stations = range(501, 507)
station_ids = range(6)
cluster = clusters.ScienceParkCluster(stations)
c_index = data.root.coincidences.c_index
observables = data.root.coincidences.observables
figure()
#clf()
global c_x, c_y
if 'c_x' in globals():
scatter(c_x, c_y)
else:
stations_in_coincidence = []
for coincidence_events in c_index:
stations = [observables[u]['station_id'] for u in
coincidence_events]
stations_in_coincidence.append(stations)
c_x = []
c_y = []
for station1, station2 in itertools.combinations(station_ids, 2):
condition = [station1 in u and station2 in u for u in
stations_in_coincidence]
N = sum(condition)
R, phi = cluster.calc_r_and_phi_for_stations(station1, station2)
scatter(R, N)
c_x.append(R)
c_y.append(N)
print R, N, station1, station2
ldf = KascadeLdf()
R = linspace(100, 500)
E = linspace(1e14, 1e19, 100)
F = E ** -2.7
N = []
for r in R:
x = []
for f, e in zip(F, E):
Ne = e / 1e15 * 10 ** 4.8
density = ldf.get_ldf_value_for_size(r, Ne)
prob = 1 - exp(-.5 * density)
x.append(f * prob)
N.append(mean(x))
N = array(N)
f = lambda x, S: S * interp(x, R, N)
c_x = array(c_x)
c_y = array(c_y)
# WTF wrong with point at slightly less than 100 m? 501 / 502??
sc_x = c_x.compress(c_x >= 100)
sc_y = c_y.compress(c_x >= 100)
popt, pcov = curve_fit(f, sc_x, sc_y, p0=(1e45))
plot(R, f(R, popt[0]))
#ylim(0, 150000)
ylim(0, 500000)
xlim(0, 500)
xlabel("Distance [m]")
ylabel("Number of coincidences")
utils.saveplot()
utils.savedata([sc_x, sc_y], suffix='data')
utils.savedata([R, f(R, popt[0])], suffix='fit')
def plot_N_vs_R(data):
stations = range(501, 507)
station_ids = range(6)
cluster = clusters.ScienceParkCluster(stations)
c_index = data.root.coincidences.c_index
observables = data.root.coincidences.observables
figure()
#clf()
global c_x, c_y
if 'c_x' in globals():
scatter(c_x, c_y)
else:
stations_in_coincidence = []
for coincidence_events in c_index:
stations = [
observables[u]['station_id'] for u in coincidence_events
]
stations_in_coincidence.append(stations)
c_x = []
c_y = []
for station1, station2 in itertools.combinations(station_ids, 2):
condition = [
station1 in u and station2 in u
for u in stations_in_coincidence
]
N = sum(condition)
R, phi = cluster.calc_r_and_phi_for_stations(station1, station2)
scatter(R, N)
c_x.append(R)
c_y.append(N)
print R, N, station1, station2
ldf = KascadeLdf()
R = linspace(100, 500)
E = linspace(1e14, 1e19, 100)
F = E**-2.7
N = []
for r in R:
x = []
for f, e in zip(F, E):
Ne = e / 1e15 * 10**4.8
density = ldf.get_ldf_value_for_size(r, Ne)
prob = 1 - exp(-.5 * density)
x.append(f * prob)
N.append(mean(x))
N = array(N)
f = lambda x, S: S * interp(x, R, N)
c_x = array(c_x)
c_y = array(c_y)
# WTF wrong with point at slightly less than 100 m? 501 / 502??
sc_x = c_x.compress(c_x >= 100)
sc_y = c_y.compress(c_x >= 100)
popt, pcov = curve_fit(f, sc_x, sc_y, p0=(1e45))
plot(R, f(R, popt[0]))
#ylim(0, 150000)
ylim(0, 500000)
xlim(0, 500)
xlabel("Distance [m]")
ylabel("Number of coincidences")
utils.saveplot()
utils.savedata([sc_x, sc_y], suffix='data')
utils.savedata([R, f(R, popt[0])], suffix='fit')
def plot_uncertainty_zenith(group):
group = group.E_1PeV
rec = DirectionReconstruction
N = 2
graph = GraphArtist()
# constants for uncertainty estimation
# BEWARE: stations must be the same over all reconstruction tables used
station = group.zenith_0.attrs.cluster.stations[0]
r1, phi1 = station.calc_r_and_phi_for_detectors(1, 3)
r2, phi2 = station.calc_r_and_phi_for_detectors(1, 4)
figure()
x, y, y2 = [], [], []
for THETA in 0, 5, 10, 15, 22.5, 30, 35, 45:
x.append(THETA)
table = group._f_get_child('zenith_%s' % str(THETA).replace('.', '_'))
events = table.read_where('min_n134 >= N')
print THETA, len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append((scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) / 2)
y2.append((scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) / 2)
plot(x, rad2deg(y), '^', label="Theta")
graph.plot(x, rad2deg(y), mark='o', linestyle=None)
# Azimuthal angle undefined for zenith = 0
plot(x[1:], rad2deg(y2[1:]), 'v', label="Phi")
graph.plot(x[1:], rad2deg(y2[1:]), mark='*', linestyle=None)
print
print "zenith: theta, theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Uncertainty estimate
x = linspace(0, deg2rad(45), 50)
phis = linspace(-pi, pi, 50)
y, y2 = [], []
for t in x:
y.append(mean(rec.rel_phi_errorsq(t, phis, phi1, phi2, r1, r2)))
y2.append(mean(rec.rel_theta1_errorsq(t, phis, phi1, phi2, r1, r2)))
y = TIMING_ERROR * sqrt(array(y))
y2 = TIMING_ERROR * sqrt(array(y2))
plot(rad2deg(x), rad2deg(y), label="Estimate Phi")
graph.plot(rad2deg(x), rad2deg(y), mark=None)
plot(rad2deg(x), rad2deg(y2), label="Estimate Theta")
graph.plot(rad2deg(x), rad2deg(y2), mark=None)
# Labels etc.
xlabel("Shower zenith angle [deg]")
graph.set_xlabel(r"Shower zenith angle [\si{\degree}]")
ylabel("Angle reconstruction uncertainty [deg]")
graph.set_ylabel(r"Angle reconstruction uncertainty [\si{\degree}]")
#title(r"$N_{MIP} \geq %d$" % N)
ylim(0, 100)
graph.set_ylimits(0, 60)
legend(numpoints=1)
utils.saveplot()
artist.utils.save_graph(graph, dirname='plots')
print
def plot_uncertainty_mip(group):
table = group.E_1PeV.zenith_22_5
rec = DirectionReconstruction
# constants for uncertainty estimation
station = table.attrs.cluster.stations[0]
r1, phi1 = station.calc_r_and_phi_for_detectors(1, 3)
r2, phi2 = station.calc_r_and_phi_for_detectors(1, 4)
R_list = get_median_core_distances_for_mips(group, range(1, 6))
figure()
x, y, y2 = [], [], []
for N in range(1, 5):
x.append(N)
events = table.read_where('min_n134>=%d' % N)
#query = '(n1 == N) & (n3 == N) & (n4 == N)'
#vents = table.read_where(query)
print len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append((scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) / 2)
y2.append((scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) / 2)
print "YYY", rad2deg(scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17))
plot(x, rad2deg(y), '^', label="Theta")
plot(x, rad2deg(y2), 'v', label="Phi")
Sx = x
Sy = y
Sy2 = y2
print
print "mip: min_n134, theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Uncertainty estimate
x = [1, 2, 3, 4, 5]
phis = linspace(-pi, pi, 50)
phi_errsq = mean(rec.rel_phi_errorsq(pi / 8, phis, phi1, phi2, r1, r2))
theta_errsq = mean(rec.rel_theta1_errorsq(pi / 8, phis, phi1, phi2, r1, r2))
y = TIMING_ERROR * std_t(x) * sqrt(phi_errsq)
y2 = TIMING_ERROR * std_t(x) * sqrt(theta_errsq)
mc = my_std_t_for_R(data, x, R_list)
for u, v in zip(mc, R_list):
print v, u, sqrt(u ** 2 + 1.2 ** 2), sqrt((.66 * u) ** 2 + 1.2 ** 2)
mc = sqrt(mc ** 2 + 1.2 ** 2)
y3 = mc * sqrt(phi_errsq)
y4 = mc * sqrt(theta_errsq)
nx = linspace(1, 4, 100)
y = spline(x, y, nx)
y2 = spline(x, y2, nx)
y3 = spline(x, y3, nx)
y4 = spline(x, y4, nx)
plot(nx, rad2deg(y), label="Gauss Phi")
plot(nx, rad2deg(y2), label="Gauss Theta")
plot(nx, rad2deg(y3), label="Monte Carlo Phi")
plot(nx, rad2deg(y4), label="Monte Carlo Theta")
# Labels etc.
xlabel("Minimum number of particles")
ylabel("Angle reconstruction uncertainty [deg]")
#title(r"$\theta = 22.5^\circ$")
legend(numpoints=1)
xlim(.5, 4.5)
utils.saveplot()
print
graph = GraphArtist()
graph.plot(Sx, rad2deg(Sy), mark='o', linestyle='only marks')
graph.plot(Sx, rad2deg(Sy2), mark='*', linestyle='only marks')
graph.plot(nx, rad2deg(y), mark=None, linestyle='dashed,smooth')
graph.plot(nx, rad2deg(y2), mark=None, linestyle='dashed,smooth')
graph.set_xlabel("Minimum number of particles")
graph.set_ylabel(r"Reconstruction uncertainty [\si{\degree}]")
graph.set_xticks(range(1, 5))
graph.set_ylimits(0, 32)
artist.utils.save_graph(graph, dirname='plots')
graph.plot(nx, rad2deg(y3), mark=None, linestyle='smooth')
graph.plot(nx, rad2deg(y4), mark=None, linestyle='smooth')
artist.utils.save_graph(graph, suffix='full', dirname='plots')
def plot_uncertainty_zenith(group):
group = group.E_1PeV
rec = DirectionReconstruction
N = 2
graph = GraphArtist()
# constants for uncertainty estimation
# BEWARE: stations must be the same over all reconstruction tables used
station = group.zenith_0.attrs.cluster.stations[0]
r1, phi1 = station.calc_r_and_phi_for_detectors(1, 3)
r2, phi2 = station.calc_r_and_phi_for_detectors(1, 4)
figure()
x, y, y2 = [], [], []
for THETA in 0, 5, 10, 15, 22.5, 30, 35, 45:
x.append(THETA)
table = group._f_get_child('zenith_%s' % str(THETA).replace('.', '_'))
events = table.read_where('min_n134 >= N')
print THETA, len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append(
(scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) /
2)
y2.append(
(scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) /
2)
plot(x, rad2deg(y), '^', label="Theta")
graph.plot(x, rad2deg(y), mark='o', linestyle=None)
# Azimuthal angle undefined for zenith = 0
plot(x[1:], rad2deg(y2[1:]), 'v', label="Phi")
graph.plot(x[1:], rad2deg(y2[1:]), mark='*', linestyle=None)
print
print "zenith: theta, theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Uncertainty estimate
x = linspace(0, deg2rad(45), 50)
phis = linspace(-pi, pi, 50)
y, y2 = [], []
for t in x:
y.append(mean(rec.rel_phi_errorsq(t, phis, phi1, phi2, r1, r2)))
y2.append(mean(rec.rel_theta1_errorsq(t, phis, phi1, phi2, r1, r2)))
y = TIMING_ERROR * sqrt(array(y))
y2 = TIMING_ERROR * sqrt(array(y2))
plot(rad2deg(x), rad2deg(y), label="Estimate Phi")
graph.plot(rad2deg(x), rad2deg(y), mark=None)
plot(rad2deg(x), rad2deg(y2), label="Estimate Theta")
graph.plot(rad2deg(x), rad2deg(y2), mark=None)
# Labels etc.
xlabel("Shower zenith angle [deg]")
graph.set_xlabel(r"Shower zenith angle [\si{\degree}]")
ylabel("Angle reconstruction uncertainty [deg]")
graph.set_ylabel(r"Angle reconstruction uncertainty [\si{\degree}]")
#title(r"$N_{MIP} \geq %d$" % N)
ylim(0, 100)
graph.set_ylimits(0, 60)
legend(numpoints=1)
utils.saveplot()
artist.utils.save_graph(graph, dirname='plots')
print
def plot_uncertainty_mip(group):
table = group.E_1PeV.zenith_22_5
rec = DirectionReconstruction
# constants for uncertainty estimation
station = table.attrs.cluster.stations[0]
r1, phi1 = station.calc_r_and_phi_for_detectors(1, 3)
r2, phi2 = station.calc_r_and_phi_for_detectors(1, 4)
R_list = get_median_core_distances_for_mips(group, range(1, 6))
figure()
x, y, y2 = [], [], []
for N in range(1, 5):
x.append(N)
events = table.read_where('min_n134>=%d' % N)
#query = '(n1 == N) & (n3 == N) & (n4 == N)'
#vents = table.read_where(query)
print len(events),
errors = events['reference_theta'] - events['reconstructed_theta']
# Make sure -pi < errors < pi
errors = (errors + pi) % (2 * pi) - pi
errors2 = events['reference_phi'] - events['reconstructed_phi']
# Make sure -pi < errors2 < pi
errors2 = (errors2 + pi) % (2 * pi) - pi
#y.append(std(errors))
#y2.append(std(errors2))
y.append(
(scoreatpercentile(errors, 83) - scoreatpercentile(errors, 17)) /
2)
y2.append(
(scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17)) /
2)
print "YYY", rad2deg(
scoreatpercentile(errors2, 83) - scoreatpercentile(errors2, 17))
plot(x, rad2deg(y), '^', label="Theta")
plot(x, rad2deg(y2), 'v', label="Phi")
Sx = x
Sy = y
Sy2 = y2
print
print "mip: min_n134, theta_std, phi_std"
for u, v, w in zip(x, y, y2):
print u, v, w
print
utils.savedata((x, y, y2))
# Uncertainty estimate
x = [1, 2, 3, 4, 5]
phis = linspace(-pi, pi, 50)
phi_errsq = mean(rec.rel_phi_errorsq(pi / 8, phis, phi1, phi2, r1, r2))
theta_errsq = mean(rec.rel_theta1_errorsq(pi / 8, phis, phi1, phi2, r1,
r2))
y = TIMING_ERROR * std_t(x) * sqrt(phi_errsq)
y2 = TIMING_ERROR * std_t(x) * sqrt(theta_errsq)
mc = my_std_t_for_R(data, x, R_list)
for u, v in zip(mc, R_list):
print v, u, sqrt(u**2 + 1.2**2), sqrt((.66 * u)**2 + 1.2**2)
mc = sqrt(mc**2 + 1.2**2)
y3 = mc * sqrt(phi_errsq)
y4 = mc * sqrt(theta_errsq)
nx = linspace(1, 4, 100)
y = spline(x, y, nx)
y2 = spline(x, y2, nx)
y3 = spline(x, y3, nx)
y4 = spline(x, y4, nx)
plot(nx, rad2deg(y), label="Gauss Phi")
plot(nx, rad2deg(y2), label="Gauss Theta")
plot(nx, rad2deg(y3), label="Monte Carlo Phi")
plot(nx, rad2deg(y4), label="Monte Carlo Theta")
# Labels etc.
xlabel("Minimum number of particles")
ylabel("Angle reconstruction uncertainty [deg]")
#title(r"$\theta = 22.5^\circ$")
legend(numpoints=1)
xlim(.5, 4.5)
utils.saveplot()
print
graph = GraphArtist()
graph.plot(Sx, rad2deg(Sy), mark='o', linestyle='only marks')
graph.plot(Sx, rad2deg(Sy2), mark='*', linestyle='only marks')
graph.plot(nx, rad2deg(y), mark=None, linestyle='dashed,smooth')
graph.plot(nx, rad2deg(y2), mark=None, linestyle='dashed,smooth')
graph.set_xlabel("Minimum number of particles")
graph.set_ylabel(r"Reconstruction uncertainty [\si{\degree}]")
graph.set_xticks(range(1, 5))
graph.set_ylimits(0, 32)
artist.utils.save_graph(graph, dirname='plots')
graph.plot(nx, rad2deg(y3), mark=None, linestyle='smooth')
graph.plot(nx, rad2deg(y4), mark=None, linestyle='smooth')
artist.utils.save_graph(graph, suffix='full', dirname='plots')