def test_plot_integrate_ion_recomb_collapse():
"""Plot results of integrate_ion_recomb_collapse (no quantitative tests).
"""
cosmo = cparam.WMAP5_mean(flat=True)
dz = 0.5
z = numpy.arange(25., 8. - 1.5 * dz, -1. * dz)
T_min = 1e4 #K
c_ion = numpy.array([[500.], [40.], [12.]])
# calculate ionized fraction from collapse fraction
x_fcol = cr.ionization_from_collapse(z,
c_ion,
T_min,
**cosmo)
x_rec = numpy.empty(x_fcol.shape)
w_rec = numpy.empty(x_fcol.shape)
for i in range(x_fcol.shape[0]):
# calculate ionized fraction, including recombinations
x_rec[i], w_rec[i], t = cr.integrate_ion_recomb_collapse(z, c_ion[i,0],
temp_min = T_min,
**cosmo)
#linestyle = ['-', ':', '--']
color = ['r', 'g', 'b']
pylab.figure()
pylab.subplot(2,1,1)
for i in range(len(color)):
pylab.plot(z, x_fcol[i], ls='--', color=color[i])
pylab.plot(z, x_rec[i], ls='-', color=color[i])
pylab.plot(z, w_rec[i], ls=':', color=color[i])
pylab.axhline(y=0.75)
pylab.yscale('log')
pylab.xlim(8,25)
pylab.ylim(1e-4, 1)
pylab.subplot(2,1,2)
for i in range(len(color)):
pylab.plot(z, x_fcol[i], ls='--', color=color[i])
pylab.plot(z, x_rec[i], ls='-', color=color[i])
pylab.plot(z, w_rec[i], ls=':', color=color[i])
pylab.axhline(y=0.75)
pylab.xlim(8,25)
pylab.ylim(0, 1)
def test_plot_integrate_ion_recomb_collapse():
"""Plot results of integrate_ion_recomb_collapse (no quantitative tests).
"""
cosmo = cparam.WMAP5_mean(flat=True)
dz = 0.5
z = numpy.arange(25., 8. - 1.5 * dz, -1. * dz)
T_min = 1e4 #K
c_ion = numpy.array([[500.], [40.], [12.]])
# calculate ionized fraction from collapse fraction
x_fcol = cr.ionization_from_collapse(z,
c_ion,
T_min,
**cosmo)
x_rec = numpy.empty(x_fcol.shape)
w_rec = numpy.empty(x_fcol.shape)
for i in range(x_fcol.shape[0]):
# calculate ionized fraction, including recombinations
x_rec[i], w_rec[i], t = cr.integrate_ion_recomb_collapse(z, c_ion[i,0],
temp_min = T_min,
**cosmo)
#linestyle = ['-', ':', '--']
color = ['r', 'g', 'b']
pylab.figure()
pylab.subplot(2,1,1)
for i in range(len(color)):
pylab.plot(z, x_fcol[i], ls='--', color=color[i])
pylab.plot(z, x_rec[i], ls='-', color=color[i])
pylab.plot(z, w_rec[i], ls=':', color=color[i])
pylab.axhline(y=0.75)
pylab.yscale('log')
pylab.xlim(8,25)
pylab.ylim(1e-4, 1)
pylab.subplot(2,1,2)
for i in range(len(color)):
pylab.plot(z, x_fcol[i], ls='--', color=color[i])
pylab.plot(z, x_rec[i], ls='-', color=color[i])
pylab.plot(z, w_rec[i], ls=':', color=color[i])
pylab.axhline(y=0.75)
pylab.xlim(8,25)
pylab.ylim(0, 1)
def test_tau_BKP():
"""Reionization consistency check with BK&P 2009MNRAS.397..971B
Bagla J.~S., Kulkarni G., Padmanabhan T., 2009 (2009MNRAS.397..971B).
Take their cannonical set of cosmological parameters and ionization
coefficients and make sure I get the same optical depth value.
The first figure demonstrates the calculation of the ionization
fraction and the optical depth (not shown in the paper).
The second figure shows dependence of the f_* f_esc,gamma values on
tau (actually calculated the other way around, f_* f_esc,gamma ->
tau). The plotted point (x) marks the value from the paper. The
agreement between the calculated optical depth and the WMAP tau value
is printed in the text output.
"""
N_gamma = 6804.
# f_* f_esc N_gamma
f_ion = numpy.transpose(numpy.atleast_2d(numpy.arange(10., 200., 10.)))
alpha_B = 1e-13 # cm^3 s^-1
m_min = 1e8 # M_sun
x_ionHe = 2.0
dz = 0.1
z = numpy.arange(20., 6. - 1.5 * dz, -1. * dz)
#z = numpy.arange(6., 20. + 1.5 * dz, dz)
cosmos = [cparam.WMAP5_ML(flat=True),
cparam.WMAP5_mean(flat=True)]
pylab.figure(figsize=(8,8))
colors=['r', 'k']
names = ["WMAP5 ML", "WMAP5 mean"]
i = -1
for cosmo in cosmos:
i += 1
print("\n%s" % (names[i]))
# calculate ionized fraction, including recombinations
x_rec, w_rec, t = cr.integrate_ion_recomb_collapse(z, f_ion,
m_min,
passed_min_mass=True,
alpha_B=alpha_B,
**cosmo)
# calculate the optical depth in this scenario
tau_z0 = cr.optical_depth_instant(z[-1],
x_ionH=1.0,
x_ionHe=2.0,
**cosmo)
tau_later = cr.integrate_optical_depth(x_rec, x_ionHe * x_rec,
z, **cosmo)
tau_0 = tau_later[:, -1] + tau_z0
tau = tau_later
print("tau(WMAP) = %.3f" % (cosmo['tau']))
for j in range(len(f_ion.flat)):
if round(f_ion[j],1) != 50.0:
continue
print("with f_* f_esc_gamma N_gamma = %.1f:" % (f_ion[j]))
pylab.plot(z, x_rec[j], ls='-', color=colors[i])
pylab.plot(z, w_rec[j], ls=':', color=colors[i])
#pylab.plot(z, 10. * tau[j], ls='--', color=colors[i])
pylab.plot(z, 10. * (tau_0[j] - tau[j]), ls='--', color=colors[i])
pylab.axhline(y=10. * tau_0[j], ls='--', color=colors[i])
print("tau(z=0) = %.4f" % (tau_0[j]))
print("fractional diff. = %.3g" % ((tau_0[j] - cosmo['tau']) /
cosmo['tau']))
if i==1:
# Make sure we recover the WMAP value.
ntest.assert_approx_equal(tau_0[j], cosmo['tau'], 2)
pylab.ylim(0,1.01)
pylab.xlabel("redshift z")
pylab.ylabel(r"ionized fraction or optical depth $\tau \times 10$")
pylab.figure(figsize=(8,8))
pylab.plot(tau_0, f_ion / N_gamma, '-', color='k')
pylab.plot([cosmo['tau']], [50.0 / N_gamma], 'x', color='b')
pylab.xlim(0.06, 0.12)
pylab.ylim(0., 0.022)
pylab.xlabel(r'$\tau$')
pylab.ylabel(r'$f_* f_{esc,\gamma}$')
def test_tau_BKP():
"""Reionization consistency check with BK&P 2009MNRAS.397..971B
Bagla J.~S., Kulkarni G., Padmanabhan T., 2009 (2009MNRAS.397..971B).
Take their cannonical set of cosmological parameters and ionization
coefficients and make sure I get the same optical depth value.
The first figure demonstrates the calculation of the ionization
fraction and the optical depth (not shown in the paper).
The second figure shows dependence of the f_* f_esc,gamma values on
tau (actually calculated the other way around, f_* f_esc,gamma ->
tau). The plotted point (x) marks the value from the paper. The
agreement between the calculated optical depth and the WMAP tau value
is printed in the text output.
"""
N_gamma = 6804.
# f_* f_esc N_gamma
f_ion = numpy.transpose(numpy.atleast_2d(numpy.arange(10., 200., 10.)))
alpha_B = 1e-13 # cm^3 s^-1
m_min = 1e8 # M_sun
x_ionHe = 2.0
dz = 0.1
z = numpy.arange(20., 6. - 1.5 * dz, -1. * dz)
#z = numpy.arange(6., 20. + 1.5 * dz, dz)
cosmos = [cparam.WMAP5_ML(flat=True),
cparam.WMAP5_mean(flat=True)]
pylab.figure(figsize=(8,8))
colors=['r', 'k']
names = ["WMAP5 ML", "WMAP5 mean"]
i = -1
for cosmo in cosmos:
i += 1
print
print names[i]
# calculate ionized fraction, including recombinations
x_rec, w_rec, t = cr.integrate_ion_recomb_collapse(z, f_ion,
m_min,
passed_min_mass=True,
alpha_B=alpha_B,
**cosmo)
# calculate the optical depth in this scenario
tau_z0 = cr.optical_depth_instant(z[-1],
x_ionH=1.0,
x_ionHe=2.0,
**cosmo)
tau_later = cr.integrate_optical_depth(x_rec, x_ionHe * x_rec,
z, **cosmo)
tau_0 = tau_later[:, -1] + tau_z0
tau = tau_later
print "tau(WMAP) = %.3f" % cosmo['tau']
for j in range(len(f_ion.flat)):
if round(f_ion[j],1) != 50.0:
continue
print "with f_* f_esc_gamma N_gamma = %.1f:" % f_ion[j]
pylab.plot(z, x_rec[j], ls='-', color=colors[i])
pylab.plot(z, w_rec[j], ls=':', color=colors[i])
#pylab.plot(z, 10. * tau[j], ls='--', color=colors[i])
pylab.plot(z, 10. * (tau_0[j] - tau[j]), ls='--', color=colors[i])
pylab.axhline(y=10. * tau_0[j], ls='--', color=colors[i])
print "tau(z=0) = %.4f" % tau_0[j]
print " fractional diff. = %.3g" % ((tau_0[j] - cosmo['tau']) /
cosmo['tau'])
if i==1:
# Make sure we recover the WMAP value.
ntest.assert_approx_equal(tau_0[j], cosmo['tau'], 2)
pylab.ylim(0,1.01)
pylab.xlabel("redshift z")
pylab.ylabel(r"ionized fraction or optical depth $\tau \times 10$")
pylab.figure(figsize=(8,8))
pylab.plot(tau_0, f_ion / N_gamma, '-', color='k')
pylab.plot([cosmo['tau']], [50.0 / N_gamma], 'x', color='b')
pylab.xlim(0.06, 0.12)
pylab.ylim(0., 0.022)
pylab.xlabel(r'$\tau$')
pylab.ylabel(r'$f_* f_{esc,\gamma}$')
