def testNonFlatLCDM(self):
"""
Test the evolution of H and Omega_i as a function of redshift for non-flat
Lambda CDM models
"""
w0 = -1.0
wa = 0.0
H0 = 77.0
for Om0 in np.arange(start=0.15, stop=0.96, step=0.4):
for Ok0 in np.arange(start=-0.1, stop=0.11, step=0.2):
universe = CosmologyObject(H0=H0,
Om0=Om0,
Ok0=Ok0,
w0=w0,
wa=wa)
Og0 = universe.OmegaPhotons(redshift=0.0)
Onu0 = universe.OmegaNeutrinos(redshift=0.0)
self.assertAlmostEqual(universe.OmegaMatter(redshift=0.0), Om0,
10)
self.assertAlmostEqual(universe.OmegaCurvature(redshift=0.0),
Ok0, 10)
self.assertAlmostEqual(
1.0 - Ok0 - Om0 - universe.OmegaDarkEnergy(redshift=0.0),
Og0 + Onu0, 6)
self.assertAlmostEqual(universe.H(redshift=0.0), H0, 10)
Om0 = universe.OmegaMatter(redshift=0.0)
Ode0 = universe.OmegaDarkEnergy(redshift=0.0)
Ok0 = universe.OmegaCurvature(redshift=0.0)
for zz in np.arange(start=0.0, stop=4.0, step=2.0):
Hcontrol, OmControl, OdeControl, OgControl, OnuControl, \
OkControl = cosmologicalOmega(zz, H0, Om0, Og0=Og0, Onu0=Onu0,
Ode0=Ode0)
self.assertAlmostEqual(OmControl,
universe.OmegaMatter(redshift=zz),
6)
self.assertAlmostEqual(
OdeControl, universe.OmegaDarkEnergy(redshift=zz), 6)
self.assertAlmostEqual(OgControl,
universe.OmegaPhotons(redshift=zz),
6)
self.assertAlmostEqual(
OnuControl, universe.OmegaNeutrinos(redshift=zz), 6)
self.assertAlmostEqual(
OkControl, universe.OmegaCurvature(redshift=zz), 6)
self.assertAlmostEqual(Hcontrol, universe.H(redshift=zz),
6)
del universe
def testNonFlatW0(self):
"""
Test the evolution of H and Omega_i as a function of redshift for non-flat
models with constant w
"""
H0 = 60.0
for Om0 in numpy.arange(start=0.15, stop=0.76, step=0.3):
for Ok0 in numpy.arange(start=0.1, stop=0.11, step=0.2):
for w0 in numpy.arange(start=-1.1, stop=-0.89, step=0.2):
universe = CosmologyObject(H0=H0, Om0=Om0, Ok0=Ok0, w0=w0)
Og0 = universe.OmegaPhotons(redshift=0.0)
Onu0 = universe.OmegaNeutrinos(redshift=0.0)
self.assertAlmostEqual(universe.OmegaMatter(redshift=0.0),
Om0, 10)
self.assertAlmostEqual(
Ok0, universe.OmegaCurvature(redshift=0.0), 10)
self.assertAlmostEqual(
1.0 - Om0 - Ok0 -
universe.OmegaDarkEnergy(redshift=0.0), Og0 + Onu0, 10)
self.assertAlmostEqual(universe.H(redshift=0.0), H0, 10)
Om0 = universe.OmegaMatter(redshift=0.0)
Ode0 = universe.OmegaDarkEnergy(redshift=0.0)
for zz in numpy.arange(start=0.0, stop=4.0, step=2.0):
self.assertAlmostEqual(w0, universe.w(redshift=zz), 6)
Hcontrol, OmControl, OdeControl, OgControl, OnuControl, \
OkControl = cosmologicalOmega(zz, H0, Om0, Og0=Og0, Onu0=Onu0,
w0=w0, wa=0.0, Ode0=Ode0)
self.assertAlmostEqual(
OmControl, universe.OmegaMatter(redshift=zz), 6)
self.assertAlmostEqual(
OdeControl, universe.OmegaDarkEnergy(redshift=zz),
6)
self.assertAlmostEqual(
OgControl, universe.OmegaPhotons(redshift=zz), 6)
self.assertAlmostEqual(
OnuControl, universe.OmegaNeutrinos(redshift=zz),
6)
self.assertAlmostEqual(
OkControl, universe.OmegaCurvature(redshift=zz), 6)
self.assertAlmostEqual(Hcontrol,
universe.H(redshift=zz), 6)
del universe
def testFlatW0Wa(self):
"""
Test the evolution of H and Omega_i as a function of redshift for
flat models with w = w0 + wa * z / (1 + z)
"""
H0 = 96.0
for Om0 in numpy.arange(start=0.1, stop=0.95, step=0.4):
for w0 in numpy.arange(start=-1.1, stop=-0.89, step=0.2):
for wa in numpy.arange(start=-0.1, stop=0.11, step=0.2):
universe = CosmologyObject(H0=H0, Om0=Om0, w0=w0, wa=wa)
Og0 = universe.OmegaPhotons(redshift=0.0)
Onu0 = universe.OmegaNeutrinos(redshift=0.0)
self.assertAlmostEqual(universe.OmegaMatter(redshift=0.0),
Om0, 10)
self.assertAlmostEqual(
1.0 - Om0 - universe.OmegaDarkEnergy(redshift=0.0),
Og0 + Onu0, 6)
self.assertAlmostEqual(universe.H(redshift=0.0), H0, 10)
self.assertEqual(universe.OmegaCurvature(), 0.0)
Om0 = universe.OmegaMatter(redshift=0.0)
Ode0 = universe.OmegaDarkEnergy(redshift=0.0)
for zz in numpy.arange(start=0.0, stop=4.1, step=2.0):
wControl = w0 + wa * (1.0 - 1.0 / (1.0 + zz))
self.assertAlmostEqual(wControl,
universe.w(redshift=zz), 6)
Hcontrol, OmControl, OdeControl, OgControl, OnuControl, \
OkControl = cosmologicalOmega(zz, H0, Om0, Og0=Og0, Onu0=Onu0,
w0=w0, wa=wa)
self.assertAlmostEqual(
OmControl, universe.OmegaMatter(redshift=zz), 6)
self.assertAlmostEqual(
OdeControl, universe.OmegaDarkEnergy(redshift=zz),
6)
self.assertAlmostEqual(
OgControl, universe.OmegaPhotons(redshift=zz), 6)
self.assertAlmostEqual(
OnuControl, universe.OmegaNeutrinos(redshift=zz),
6)
self.assertAlmostEqual(Hcontrol,
universe.H(redshift=zz), 6)
del universe
def testFlatLCDM(self):
"""
Test the evolution of H and Omega_i as a function of redshift for
flat Lambda CDM models
"""
H0 = 50.0
for Om0 in numpy.arange(start=0.1, stop=0.91, step=0.4):
universe = CosmologyObject(H0=H0, Om0=Om0)
Og0 = universe.OmegaPhotons(redshift=0.0)
Onu0 = universe.OmegaNeutrinos(redshift=0.0)
self.assertAlmostEqual(universe.OmegaMatter(redshift=0.0), Om0, 10)
self.assertAlmostEqual(
1.0 - Om0 - universe.OmegaDarkEnergy(redshift=0.0), Og0 + Onu0,
6)
self.assertAlmostEqual(universe.H(redshift=0.0), H0, 10)
self.assertEqual(universe.OmegaCurvature(), 0.0)
Om0 = universe.OmegaMatter(redshift=0.0)
Ode0 = universe.OmegaDarkEnergy(redshift=0.0)
for zz in numpy.arange(start=0.0, stop=4.1, step=2.0):
aa = (1.0 + zz)
Hcontrol, OmControl, OdeControl, OgControl, OnuControl, \
OkControl, = cosmologicalOmega(zz, H0, Om0, Og0=Og0, Onu0=Onu0)
self.assertAlmostEqual(OmControl,
universe.OmegaMatter(redshift=zz), 6)
self.assertAlmostEqual(OdeControl,
universe.OmegaDarkEnergy(redshift=zz),
6)
self.assertAlmostEqual(OgControl,
universe.OmegaPhotons(redshift=zz), 6)
self.assertAlmostEqual(OnuControl,
universe.OmegaNeutrinos(redshift=zz), 6)
self.assertAlmostEqual(Hcontrol, universe.H(redshift=zz), 6)
del universe
def testDistanceModulus(self):
"""
Test the calculation of the distance modulus out to a certain redshift
"""
H0 = 73.0
universe = CosmologyObject()
for Om0 in np.arange(start=0.15, stop=0.56, step=0.2):
for Ok0 in np.arange(start=-0.1, stop=0.11, step=0.2):
for w0 in np.arange(start=-1.1, stop=-0.85, step=0.2):
for wa in np.arange(start=-0.1, stop=0.11, step=0.2):
universe = CosmologyObject(H0=H0,
Om0=Om0,
Ok0=Ok0,
w0=w0,
wa=wa)
sqrtkCurvature = \
np.sqrt(np.abs(universe.OmegaCurvature()))*universe.H()/self.speedOfLight
Og0 = universe.OmegaPhotons()
Onu0 = universe.OmegaNeutrinos()
Ode0 = universe.OmegaDarkEnergy()
for zz in np.arange(start=0.1, stop=4.2, step=2.0):
modulusControl = universe.distanceModulus(
redshift=zz)
comovingDistance = \
self.speedOfLight*scipy.integrate.quad(comovingDistanceIntegrand, 0.0, zz,
args=(H0, Om0, Ode0, Og0,
Onu0, w0, wa))[0]
if universe.OmegaCurvature() < 0.0:
nn = sqrtkCurvature * comovingDistance
nn = np.sin(nn)
luminosityDistance = (1.0 +
zz) * nn / sqrtkCurvature
elif universe.OmegaCurvature() > 0.0:
nn = sqrtkCurvature * comovingDistance
nn = np.sinh(nn)
luminosityDistance = (1.0 +
zz) * nn / sqrtkCurvature
else:
luminosityDistance = (1.0 +
zz) * comovingDistance
modulusTest = 5.0 * np.log10(
luminosityDistance) + 25.0
self.assertAlmostEqual(
modulusControl / modulusTest, 1.0, 4)
def testLuminosityDistance(self):
"""
Test the calculation of the luminosity distance
"""
H0 = 73.0
for Om0 in numpy.arange(start=0.15, stop=0.56, step=0.2):
for Ok0 in numpy.arange(start=-0.1, stop=0.11, step=0.2):
for w0 in numpy.arange(start=-1.1, stop=-0.85, step=0.2):
for wa in numpy.arange(start=-0.1, stop=0.11, step=0.2):
universe = CosmologyObject(H0=H0,
Om0=Om0,
Ok0=Ok0,
w0=w0,
wa=wa)
sqrtkCurvature = numpy.sqrt(
numpy.abs(universe.OmegaCurvature())) * universe.H(
) / self.speedOfLight
Og0 = universe.OmegaPhotons()
Onu0 = universe.OmegaNeutrinos()
Ode0 = universe.OmegaDarkEnergy()
for zz in numpy.arange(start=0.1, stop=4.2, step=2.0):
luminosityControl = universe.luminosityDistance(
redshift=zz)
comovingDistance = self.speedOfLight * scipy.integrate.quad(
comovingDistanceIntegrand,
0.0,
zz,
args=(H0, Om0, Ode0, Og0, Onu0, w0, wa))[0]
if universe.OmegaCurvature() < 0.0:
nn = sqrtkCurvature * comovingDistance
nn = numpy.sin(nn)
luminosityTest = (1.0 +
zz) * nn / sqrtkCurvature
elif universe.OmegaCurvature() > 0.0:
nn = sqrtkCurvature * comovingDistance
nn = numpy.sinh(nn)
luminosityTest = (1.0 +
zz) * nn / sqrtkCurvature
else:
luminosityTest = (1.0 + zz) * comovingDistance
self.assertAlmostEqual(
luminosityControl / luminosityTest, 1.0, 4)
def testAngularDiameterDistance(self):
"""
Test the calculation of the angular diameter distance
"""
H0 = 56.0
universe = CosmologyObject()
for Om0 in np.arange(start=0.15, stop=0.56, step=0.2):
for Ok0 in np.arange(start=-0.1, stop=0.11, step=0.2):
for w0 in np.arange(start=-1.1, stop=-0.85, step=0.2):
for wa in np.arange(start=-0.1, stop=0.11, step=0.2):
universe = CosmologyObject(H0=H0,
Om0=Om0,
Ok0=Ok0,
w0=w0,
wa=wa)
sqrtkCurvature = \
np.sqrt(np.abs(universe.OmegaCurvature()))*universe.H()/self.speedOfLight
Og0 = universe.OmegaPhotons()
Onu0 = universe.OmegaNeutrinos()
Ode0 = universe.OmegaDarkEnergy()
for zz in np.arange(start=0.1, stop=4.2, step=2.0):
angularControl = universe.angularDiameterDistance(
redshift=zz)
comovingDistance = \
self.speedOfLight*scipy.integrate.quad(comovingDistanceIntegrand, 0.0, zz,
args=(H0, Om0, Ode0, Og0, Onu0, w0, wa))[0]
if universe.OmegaCurvature() < 0.0:
nn = sqrtkCurvature * comovingDistance
nn = np.sin(nn)
angularTest = nn / sqrtkCurvature
elif universe.OmegaCurvature() > 0.0:
nn = sqrtkCurvature * comovingDistance
nn = np.sinh(nn)
angularTest = nn / sqrtkCurvature
else:
angularTest = comovingDistance
angularTest /= (1.0 + zz)
self.assertAlmostEqual(
angularControl / angularTest, 1.0, 4)
