from numpy.testing import assert_allclose, assert_almost_equal
from primordial.equations.t.cosmology import Equations as Eqs_t, initial_conditions as IC_t
from primordial.equations.N.cosmology import Equations as Eqs_N, initial_conditions as IC_N
from primordial.equations.events import UntilN
from primordial.solver import solve
from primordial.units import H0_h, tp
[docs]def test_cosmology():
atol, rtol = 1e-8, 1e-8
h = 0.6732
Omega_b = 0.022383 / h**2
Omega_m = 0.14314 / h**2
Omega_r = 4.18343e-5 / h**2 # Assumes T = 2.7255, and includes neutrinos
H0 = H0_h * h
for Omega_k in [-0.1, 0, 0.1]:
Omega_l = 1-Omega_m-Omega_r-Omega_k
# Solve in N
equations = Eqs_N(H0, Omega_r, Omega_m, Omega_k, Omega_l)
Ni = 70 if Omega_k else -70
ic = IC_N(Ni)
Ne = equations.N0 if Omega_k else 0
events = UntilN(equations, terminal=True, value=Ne)
sol_N = solve(equations, ic, events=events, atol=atol*1e-1, rtol=rtol*1e-1)
N = sol_N.N[1:-1]
t = sol_N.t(N)
# Solve in t
equations = Eqs_t(H0, Omega_r, Omega_m, Omega_k, Omega_l)
ic = IC_t(Ni)
events = UntilN(equations, terminal=True, value=Ne)
sol_t = solve(equations, ic, events=events, t_eval=t, atol=atol*1e-1, rtol=rtol*1e-1)
## Check t-N consistency
assert_allclose(sol_t.N(t), N, atol, rtol)
assert_allclose(t, sol_N.t(N), atol, rtol)
# Check H
assert_allclose(sol_N.H(N), sol_t.H(t), atol*10, rtol*10)