def solve_from_Mz(M,
z,
cross_section_type,
kwargs_cross_section,
z_collapse=10.,
include_c_scatter=False,
c_scatter_add_dex=0.,
**kwargs_solver):
"""
This routine solves for the SIDM central density given the normalization of an NFW halo rhos, the scale radius rs,
and a specific interaction cross section
"""
try:
from pyHalo.Halos.lens_cosmo import LensCosmo
from pyHalo.Cosmology.cosmology import Cosmology
cosmo = Cosmology()
lens_cosmo = LensCosmo()
except:
raise Exception(
'error importing pyHalo, which is needed to use this routine')
c = lens_cosmo.NFW_concentration(M, z, scatter=include_c_scatter)
if include_c_scatter is False and c_scatter_add_dex != 0:
c = 10**(np.log10(c) + c_scatter_add_dex)
rhos, rs, _ = lens_cosmo.NFW_params_physical(M, c, z)
halo_age = cosmo.halo_age(z, z_collapse)
if halo_age < 0.:
raise Exception(
'the halo age is negative, you have probably specified a collapse redshift < halo redshift'
)
return solve_from_NFW_params(rhos, rs, halo_age, cross_section_type,
kwargs_cross_section, **kwargs_solver)
class TestCosmology(object):
def setup(self):
self.arcsec = 2 * np.pi / 360 / 3600
self.zlens = 1
self.zsource = 2
self.angle_diameter = 2 / self.arcsec
self.angle_radius = 0.5 * self.angle_diameter
self.H0 = 70
self.omega_baryon = 0.03
self.omega_DM = 0.25
self.sigma8 = 0.82
curvature = 'flat'
self.ns = 0.9608
cosmo_params = {
'H0': self.H0,
'Om0': self.omega_baryon + self.omega_DM,
'Ob0': self.omega_baryon,
'sigma8': self.sigma8,
'ns': self.ns,
'curvature': curvature
}
self._dm, self._bar = self.omega_DM, self.omega_baryon
self.cosmo = Cosmology(cosmo_kwargs=cosmo_params)
self.geometry = Geometry(self.cosmo, self.zlens, self.zsource,
self.angle_diameter, 'DOUBLE_CONE')
def test_cosmo(self):
da_true = self.cosmo.D_A(0, 1.824)
da_interp = self.cosmo.D_A_z(1.824)
npt.assert_almost_equal(da_true / da_interp, 1, 5)
dc_true = self.cosmo.astropy.comoving_transverse_distance(1.4).value
dc_interp = self.cosmo.D_C_z(1.4)
dc_astropy = self.cosmo.astropy.comoving_distance(1.4).value
npt.assert_almost_equal(dc_true / dc_interp, 1)
npt.assert_almost_equal(dc_astropy / dc_true, 1)
dc_transverse = self.cosmo.D_C_transverse(0.8)
dc = self.cosmo.astropy.comoving_transverse_distance(0.8).value
npt.assert_almost_equal(dc / dc_transverse, 1)
ez = self.cosmo.E_z(0.8)
ez_astropy = self.cosmo.astropy.efunc(0.8)
npt.assert_almost_equal(ez / ez_astropy, 1)
kpc_per_asec = self.cosmo.kpc_proper_per_asec(0.5)
kpc_per_arcsec_true = self.cosmo.astropy.kpc_proper_per_arcmin(
0.5).value / 60
npt.assert_almost_equal(kpc_per_asec, kpc_per_arcsec_true, 2)
rho_crit_0 = self.cosmo.rho_crit(0)
rho_pc = un.Quantity(self.cosmo.astropy.critical_density(0),
unit=un.Msun / un.pc**3)
rho_Mpc = rho_pc.value * (1e+6)**3
npt.assert_almost_equal(rho_crit_0 / rho_Mpc, 1, 3)
rho_crit = self.cosmo.rho_crit(0.6)
rho_pc = un.Quantity(self.cosmo.astropy.critical_density(0.6),
unit=un.Msun / un.m**3)
rho_Mpc = rho_pc.value * self.cosmo.Mpc**3
npt.assert_almost_equal(rho_crit / rho_Mpc, 1, 3)
rho_crit_dark_matter = self.cosmo.rho_dark_matter_crit
rho_crit_DM_astropy = self.cosmo.astropy.critical_density(0.).value * \
self.cosmo.density_to_MsunperMpc * self.cosmo.astropy.Odm(0.)
npt.assert_almost_equal(rho_crit_DM_astropy, rho_crit_dark_matter)
rho_crit = self.cosmo.rho_crit(0.3)
rho_pc = un.Quantity(self.cosmo.astropy.critical_density(0.3),
unit=un.Msun / un.pc**3)
rho_Mpc = rho_pc.value * (1e+6)**3
npt.assert_almost_equal(rho_crit / rho_Mpc, 1, 3)
colossus = self.cosmo.colossus
npt.assert_almost_equal(colossus.Om0,
self.omega_DM + self.omega_baryon)
npt.assert_almost_equal(colossus.Ob0, self.omega_baryon)
npt.assert_almost_equal(colossus.H0, self.H0)
npt.assert_almost_equal(colossus.sigma8, self.sigma8)
npt.assert_almost_equal(colossus.ns, self.ns)
halo_collapse_z = 9.
age_today = self.cosmo.astropy.age(0.).value
age_z = self.cosmo.astropy.age(halo_collapse_z).value
age = age_today - age_z
npt.assert_almost_equal(age,
self.cosmo.halo_age(0., zform=halo_collapse_z))
npt.assert_almost_equal(self.cosmo.scale_factor(0.7),
self.cosmo.astropy.scale_factor(0.7))