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import numpy
import unittest
import gyoto.core
import gyoto.std
import gyoto.metric
import inspect
class TestChernSimons(unittest.TestCase):
def test_setInitCoord(self):
gg=gyoto.std.ChernSimons()
zeta=0.5
gg.dzetaCS(zeta)
self.assertTrue((gg.dzetaCS() == zeta))
class TestDeformedTorus(unittest.TestCase):
def test_DeformedTorus(self):
ao=gyoto.core.Astrobj("DeformedTorus")
ao=gyoto.std.DeformedTorus()
sp=gyoto.std.BlackBody()
ao.spectrum(sp)
r=4.
ao.largeRadius(r)
self.assertTrue((ao.largeRadius() == r))
class TestDynamicalDiskBolometric(unittest.TestCase):
def test_DynamicalDiskBolometric(self):
ao=gyoto.core.Astrobj("DynamicalDiskBolometric")
ao=gyoto.std.DynamicalDiskBolometric()
self.assertTrue(True)
class TestEquatorialHotSpot(unittest.TestCase):
def test_EquatorialHotSpot(self):
ao=gyoto.core.Astrobj("EquatorialHotSpot")
ao=gyoto.std.EquatorialHotSpot()
r=4.
ao.spotRadSize(r)
self.assertTrue((ao.spotRadSize() == r))
kind="RadialBeaming"
ao.beaming(kind)
self.assertTrue((ao.beaming() == kind))
self.assertRaises(gyoto.core.Error, ao.beaming, "foo")
class TestInflateStar(unittest.TestCase):
def test_InflateStar(self):
ao=gyoto.core.Astrobj("InflateStar")
ao=gyoto.std.InflateStar()
ao.radius(0.)
ao.radiusStop(2.)
ao.timeInflateInit(0.)
ao.timeInflateStop(2.)
self.assertTrue(abs(ao.radiusAt(1.)-1.) < 1e-6)
class TestOscilTorus(unittest.TestCase):
def test_OscilTorus(self):
ao=gyoto.core.Astrobj("OscilTorus")
ao=gyoto.std.OscilTorus()
r=4.
ao.largeRadius(r)
self.assertTrue((ao.largeRadius() == r))
perturbkind="Vertical"
ao.perturbKind(perturbkind)
self.assertTrue((ao.perturbKind() == perturbkind))
class TestRezzollaZhidenko(unittest.TestCase):
def test_mass(self):
gg=gyoto.std.RezzollaZhidenko()
m=2.
gg.mass(m)
self.assertTrue((gg.mass() == m))
def test_aparam(self):
gg=gyoto.std.RezzollaZhidenko()
a=(1., 2., 3., 4.)
gg.aparam(a)
self.assertTrue((gg.aparam() == a))
class TestHayward(unittest.TestCase):
def test_mass(self):
gg=gyoto.std.Hayward()
m=2.
gg.mass(m)
self.assertTrue((gg.mass() == m))
def test_charge(self):
gg=gyoto.std.Hayward()
b=0.5
gg.charge(b)
self.assertTrue((gg.charge() == b))
def test_gmunu(self):
metric=gyoto.std.Hayward()
I=numpy.zeros((4,4))
for i in range(4):
I[i,i]=1.
for r in (-2, 0.5, 6):
pos=(10, r, numpy.pi/4, numpy.pi/3)
g=metric.gmunu(pos)
gup=metric.gmunu_up(pos)
ggup=numpy.linalg.multi_dot((g, gup))
for mu in range(4):
for nu in range(4):
self.assertAlmostEqual(metric.gmunu(pos, mu, nu), g[mu, nu])
self.assertAlmostEqual(metric.gmunu_up(pos, mu, nu), gup[mu, nu], 7,
"mu: {}, nu: {}".format(mu, nu))
self.assertAlmostEqual(ggup[mu, nu],I[mu,nu])
class TestStar(unittest.TestCase):
def test_setInitCoord(self):
st=gyoto.std.Star()
gg=gyoto.std.KerrBL()
st.metric(gg)
pos_list=(600., 9., 1.5707999999999999741, 0)
vel_list=(0., 0., 0.037037)
st.setInitCoord(pos_list, vel_list)
dst=gyoto.core.vector_double()
dst2=gyoto.core.vector_double()
st.getInitialCoord(dst)
st.setPosition(pos_list)
st.setVelocity(vel_list)
st.getInitialCoord(dst2)
self.assertTrue((numpy.asarray(dst) == numpy.asarray(dst2)).all())
class TestMinkowski(unittest.TestCase):
def _compute_r_norm(self, met, st, pos, v, tmax=1e6):
t, x, y, z, tdot, xdot, ydot, zdot=self._compute_orbit(met, st, pos, v, tmax)
if met.spherical():
r=x
else:
r=numpy.sqrt(x**2+y**2+z**2)
n=t.size
norm=numpy.asarray([met.norm([t[i], x[i], y[i], z[i]],
[tdot[i], xdot[i], ydot[i], zdot[i]])
for i in range(n)])
return r, norm
def _compute_orbit(self, met, st, pos, v, tmax=1e6):
st.initCoord(numpy.append(pos, v))
st.xFill(tmax)
n=st.get_nelements()
t=numpy.ndarray(n)
x=numpy.ndarray(n)
y=numpy.ndarray(n)
z=numpy.ndarray(n)
tdot=numpy.ndarray(n)
xdot=numpy.ndarray(n)
ydot=numpy.ndarray(n)
zdot=numpy.ndarray(n)
st.get_t(t)
st.getCoord(t, x, y, z, tdot, xdot, ydot, zdot)
return t, x, y, z, tdot, xdot, ydot, zdot
def test_Keplerian(self):
met=gyoto.std.Minkowski()
met.keplerian(True)
st=gyoto.std.Star()
st.metric(met)
# Cartesian coordinates
# particlae is at x=1000:
pos=[0., 1000., 0., 0.]
v=met.circularVelocity(pos)
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(r-1000.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# same velocity at z=1000:
pos=[0., 0., 0., 1000.]
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(r-1000.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# same velocity at x=z=1000/sqrt(2)
pos=[0., 1000./numpy.sqrt(2.), 0., 1000./numpy.sqrt(2.)]
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(r-1000.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# a elliptical orbit
pos=[0., 1000., 0., 0.]
v3=[0, 0.015, 0]
tdot=met.SysPrimeToTdot(pos, v3)
v=[tdot, v3[0]*tdot, v3[1]*tdot, v3[2]/tdot]
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# circular orbit starting at x=3
pos=[0., 3., 0., 0.]
v=met.circularVelocity(pos)
st.deltaMaxOverR(0.1)
r, norm=self._compute_r_norm(met, st, pos, v, tmax=50.)
self.assertLess( numpy.abs(r-3.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# Spherical coordinates
st=gyoto.std.Star()
st.metric(met)
met.spherical(True)
# again starting at x=1000
pos=[0., 1000., numpy.pi*0.5, 0.]
v=met.circularVelocity(pos)
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(r-1000.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# elliptical orbit
v[3] = v[3]/2.
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(norm+1.).max(), 1e-3 )
# circular orbit starting at x=z=1000/sqrt(2)
pos=[0., 1000., numpy.pi/2., 0.]
v=met.circularVelocity(pos)
pos[2]=numpy.pi/4.
v[3]=v[3]/numpy.sin(numpy.pi/4.)
r, norm=self._compute_r_norm(met, st, pos, v)
self.assertLess( numpy.abs(r-1000.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
# circular orbit starting at x=3
pos=[0., 3., numpy.pi*0.5, 0.]
st.deltaMaxOverR(0.1)
st.initCoord(numpy.append(pos, v))
v=met.circularVelocity(pos)
r, norm=self._compute_r_norm(met, st, pos, v, tmax=50.)
self.assertLess( numpy.abs(r-3.).max(), 1e-6)
self.assertLess( numpy.abs(norm+1.).max(), 1e-6 )
class TestStdMetric(unittest.TestCase):
def pos(self, metric):
if metric.coordKind() is gyoto.core.GYOTO_COORDKIND_SPHERICAL:
pos=(10, 6., numpy.pi/4, numpy.pi/3)
else:
pos=(10, 6, 2, 4.)
return pos
def metric(self, cls):
metric=cls()
# All Kerr-like: use non-zero spin
try:
metric.spin(0.5)
except AttributeError:
pass
# Chern-Simons: non-zero dzeta
try:
metric.dzetaCS(0.5)
except AttributeError:
pass
# Complex: add two metrics
try:
metric.append(gyoto.std.KerrBL())
metric.append(gyoto.std.KerrBL())
except AttributeError:
pass
# Shift: add a submetric
if (cls == gyoto.std.Shift):
metric.subMetric(gyoto.std.KerrKS())
metric.offset((1., 1., 1., 1.))
return metric
def invalid(self, classname, cls):
return (not inspect.isclass(cls)
or not issubclass(cls, gyoto.core.Metric))
def test_christoffel(self):
nspace=gyoto.std
for classname, cls in inspect.getmembers(nspace):
if (self.invalid(classname, cls)):
continue
metric=self.metric(cls)
try:
gyoto.metric.check_christoffel(metric, poslist=(self.pos(metric),), epsilon=1e-7)
except AssertionError as e:
self.fail(e.__str__())
pos=self.pos(metric)
G=metric.christoffel(pos)
G2=numpy.ones((4,4,4))
retval=metric.christoffel(G2, pos)
self.assertEqual(retval, 0, 'christoffel errors out')
for a in range(4):
for mu in range(4):
for nu in range(4):
self.assertAlmostEqual(metric.christoffel(pos, a, mu, nu), G[a, mu, nu], 7, classname)
self.assertAlmostEqual(metric.christoffel(pos, a, mu, nu), G2[a, mu, nu], 7, classname)
def test_jacobian(self):
nspace=gyoto.std
for classname, cls in inspect.getmembers(nspace):
if (self.invalid(classname, cls)):
continue
metric=self.metric(cls)
pos=self.pos(metric)
jac=metric.jacobian(pos)
jacn=gyoto.metric.jacobian_numerical(metric, pos, epsilon=1e-7)
for a in range(4):
for m in range(4):
for n in range(4):
self.assertAlmostEqual(jac[a,m,n],
jacn[a,m,n], 7, classname)
def test_gmunu(self):
nspace=gyoto.std
for classname, cls in inspect.getmembers(nspace):
if (self.invalid(classname, cls)):
continue
metric=self.metric(cls)
pos=self.pos(metric)
g=metric.gmunu(pos)
for mu in range(4):
for nu in range(4):
self.assertAlmostEqual(metric.gmunu(pos, mu, nu), g[mu, nu], 7, classname)
def test_gmunu_up(self):
nspace=gyoto.std
for classname, cls in inspect.getmembers(nspace):
if (self.invalid(classname, cls)):
continue
metric=self.metric(cls)
pos=self.pos(metric)
gup=metric.gmunu_up(pos)
gup2, jac=metric.gmunu_up_and_jacobian(pos)
g=metric.gmunu(pos)
gup3=numpy.linalg.inv(g)
for mu in range(4):
for nu in range(4):
self.assertAlmostEqual(metric.gmunu_up(pos, mu, nu), gup[mu, nu], 7,
"class: {}, mu: {}, nu: {} ({})".format(classname, mu, nu, 'coef/matrix'))
self.assertAlmostEqual(gup3[mu, nu], gup2[mu, nu], 7,
"class: {}, mu: {}, nu: {} ({})".format(classname, mu, nu, 'inv(g)/*_and_jacobian'))
self.assertAlmostEqual(gup2[mu, nu], gup[mu, nu], 7,
"class: {}, mu: {}, nu: {} ({})".format(classname, mu, nu, 'matrix/*_and_jacobian'))
def test_gmunu_gmunu_up(self):
nspace=gyoto.std
I=numpy.zeros((4,4))
for i in range(4):
I[i,i]=1.
for classname, cls in inspect.getmembers(nspace):
if (self.invalid(classname, cls)):
continue
metric=self.metric(cls)
pos=self.pos(metric)
g=metric.gmunu(pos)
gup=metric.gmunu_up(pos)
self.assertAlmostEqual(numpy.abs(numpy.linalg.multi_dot((g, gup))-I).max(), 0.)
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