def test09(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model and getters energy, plummer sphere, no SMBH"
converter = nbody_system.nbody_to_si(1.0e2 | units.MSun, 1.0 | units.parsec)
instance = Sakura(converter)
# instance.parameters.timestep_parameter = 1.0/256
instance.initialize_code()
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
numpy.random.seed(987654321)
instance.particles.add_particles(new_plummer_model(100, convert_nbody=converter))
instance.commit_particles()
kinetic_energy = instance.kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy, 2.12292810174e37 | units.J, 10)
self.assertAlmostRelativeEqual(potential_energy, -4.33511391248e37 | units.J, 10)
initial_total_energy = kinetic_energy + potential_energy
instance.evolve_model(0.1 | nbody_system.time)
kinetic_energy = instance.kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy, 2.1362368884e37 | units.J, 4)
self.assertAlmostRelativeEqual(potential_energy, -4.34842269914e37 | units.J, 4)
self.assertAlmostRelativeEqual(potential_energy + kinetic_energy, initial_total_energy, 4)
instance.cleanup_code()
instance.stop()
def test06(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, earth-sun system, no SMBH"
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
instance = Sakura(converter)
instance.initialize_code()
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
instance.particles.add_particles(self.new_sun_earth_system())
instance.commit_particles()
earth = instance.particles[1]
position_at_start = earth.position.x
instance.evolve_model(0.25 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, earth.position.y, 3)
instance.evolve_model(0.5 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, -earth.position.x, 3)
instance.evolve_model(1.0 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, earth.position.x, 3)
instance.cleanup_code()
instance.stop()
def xtest07(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing effect of Sakura parameter epsilon_squared"
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
particles = self.new_sun_earth_system()
particles.rotate(0.0, 0.0, -math.pi / 4)
particles.move_to_center()
tan_initial_direction = particles[1].vy / particles[1].vx
self.assertAlmostEquals(tan_initial_direction, math.tan(math.pi / 4))
tan_final_direction = []
for log_eps2 in range(-9, 10, 2):
instance = Sakura(converter)
instance.initialize_code()
instance.parameters.epsilon_squared = 10.0 ** log_eps2 | units.AU ** 2
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
instance.evolve_model(0.25 | units.yr)
tan_final_direction.append(instance.particles[1].velocity[1] / instance.particles[1].velocity[0])
instance.cleanup_code()
instance.stop()
# Small values of epsilon_squared should result in normal earth-sun dynamics: rotation of 90 degrees
self.assertAlmostEquals(tan_final_direction[0], math.tan(3 * math.pi / 4.0), 2)
# Large values of epsilon_squared should result in ~ no interaction
self.assertAlmostEquals(tan_final_direction[-1], tan_initial_direction, 2)
# Outcome is most sensitive to epsilon_squared when epsilon_squared = d(earth, sun)^2
delta = [abs(tan_final_direction[i + 1] - tan_final_direction[i]) for i in range(len(tan_final_direction) - 1)]
self.assertEquals(delta[len(tan_final_direction) / 2 - 1], max(delta))
def test06(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, earth-sun system, no SMBH"
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
instance = Sakura(converter, )
instance.initialize_code()
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
instance.particles.add_particles(self.new_sun_earth_system())
instance.commit_particles()
earth = instance.particles[1]
position_at_start = earth.position.x
instance.evolve_model(0.25 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, earth.position.y, 3)
instance.evolve_model(0.5 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, -earth.position.x, 3)
instance.evolve_model(1.0 | units.yr)
self.assertAlmostRelativeEqual(position_at_start, earth.position.x, 3)
instance.cleanup_code()
instance.stop()
def test01(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura initialization"
instance = Sakura(self.default_converter)
instance.initialize_code()
instance.commit_parameters()
instance.cleanup_code()
instance.stop()
def test01(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura initialization"
instance = Sakura(self.default_converter, )
instance.initialize_code()
instance.commit_parameters()
instance.cleanup_code()
instance.stop()
def test11(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura properties"
numpy.random.seed(12345)
particles = new_plummer_model(10, do_scale=True)
particles.position += [1, 2, 3] | nbody_system.length
cluster_velocity = [4, 5, 6] | nbody_system.speed
particles.velocity += cluster_velocity
external_kinetic_energy = (
0.5 | nbody_system.mass) * cluster_velocity.length_squared()
instance = Sakura()
instance.particles.add_particles(particles)
instance.set_dt(1e-3 | nbody_system.time)
kinetic_energy = instance.kinetic_energy - external_kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy,
0.25 | nbody_system.energy, 10)
self.assertAlmostRelativeEqual(potential_energy,
-0.5 | nbody_system.energy, 10)
self.assertAlmostRelativeEqual(instance.total_mass,
1.0 | nbody_system.mass, 10)
self.assertAlmostRelativeEqual(instance.center_of_mass_position,
[1, 2, 3] | nbody_system.length, 10)
self.assertAlmostRelativeEqual(instance.center_of_mass_velocity,
[4, 5, 6] | nbody_system.speed, 10)
initial_total_energy = kinetic_energy + potential_energy
instance.evolve_model(0.1 | nbody_system.time)
self.assertAlmostRelativeEqual(instance.model_time,
0.1 | nbody_system.time, 3)
kinetic_energy = instance.kinetic_energy - external_kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy + potential_energy,
-0.25 | nbody_system.energy, 3)
self.assertAlmostRelativeEqual(instance.total_mass,
1.0 | nbody_system.mass, 3)
self.assertAlmostRelativeEqual(instance.center_of_mass_position,
[1.4, 2.5, 3.6] | nbody_system.length,
3)
self.assertAlmostRelativeEqual(instance.center_of_mass_velocity,
[4, 5, 6] | nbody_system.speed, 3)
instance.cleanup_code()
instance.stop()
def test03(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura particles"
instance = Sakura(self.default_converter)
instance.initialize_code()
instance.commit_parameters()
instance.particles.add_particles(self.new_sun_earth_system())
instance.commit_particles()
self.assertAlmostEquals(instance.particles.mass, [1.0, 3.0037e-6] | units.MSun)
self.assertAlmostEquals(instance.particles.radius, 1.0 | units.RSun)
self.assertAlmostEquals(instance.particles.position, [[0.0, 0.0, 0.0], [1.0, 0.0, 0.0]] | units.AU)
self.assertAlmostEquals(
instance.particles.velocity, [[0.0, 0.0, 0.0], [0.0, 29.7885, 0.0]] | units.km / units.s, 3
)
instance.cleanup_code()
instance.stop()
def xtest04(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, 2 particles orbiting the SMBH"
particles = Particles(2)
particles.mass = 1.0 | units.MSun
particles.radius = 1.0 | units.RSun
particles.position = [[0.0, 0.0, 0.0], [2.0, 0.0, 0.0]] | units.AU
particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]
] | units.km / units.s
particles[1].vy = ((constants.G * (10001.0 | units.MSun) /
(1.0 | units.AU)).sqrt() +
(constants.G * (10000.0 | units.MSun) /
(1.0 | units.AU)).sqrt())
particles.move_to_center()
print particles
instance = Sakura(self.default_converter, )
instance.initialize_code()
# instance.parameters.include_smbh = True
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
primary = instance.particles[0]
P = 2 * math.pi * primary.x / primary.vy
P_corrected = (P) * (2.0 / (1.0 + math.sqrt(1.0001)))
position_at_start = primary.position.x
instance.evolve_model(P_corrected / 4.0)
self.assertAlmostRelativeEqual(position_at_start, primary.position.y,
3)
instance.evolve_model(P_corrected / 2.0)
self.assertAlmostRelativeEqual(position_at_start, -primary.position.x,
3)
instance.evolve_model(P_corrected)
self.assertAlmostRelativeEqual(position_at_start, primary.position.x,
3)
instance.cleanup_code()
instance.stop()
def test05(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, 2 particles, no SMBH"
particles = Particles(2)
particles.mass = 1.0 | units.MSun
particles.radius = 1.0 | units.RSun
particles.position = [[0.0, 0.0, 0.0], [2.0, 0.0, 0.0]] | units.AU
particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]
] | units.km / units.s
particles[1].vy = (constants.G * (2.0 | units.MSun) /
(2.0 | units.AU)).sqrt()
particles.move_to_center()
print particles
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
instance = Sakura(converter, )
instance.initialize_code()
# instance.parameters.integrator_method = "asakura"
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
primary = instance.particles[0]
P = 2 * math.pi * primary.x / primary.vy
position_at_start = primary.position.x
instance.evolve_model(P / 4.0)
self.assertAlmostRelativeEqual(position_at_start, primary.position.y,
3)
instance.evolve_model(P / 2.0)
self.assertAlmostRelativeEqual(position_at_start, -primary.position.x,
3)
instance.evolve_model(P)
self.assertAlmostRelativeEqual(position_at_start, primary.position.x,
3)
instance.cleanup_code()
instance.stop()
def test03(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura particles"
instance = Sakura(self.default_converter, )
instance.initialize_code()
instance.commit_parameters()
instance.particles.add_particles(self.new_sun_earth_system())
instance.commit_particles()
self.assertAlmostEquals(instance.particles.mass,
[1.0, 3.0037e-6] | units.MSun)
self.assertAlmostEquals(instance.particles.radius, 1.0 | units.RSun)
self.assertAlmostEquals(instance.particles.position,
[[0.0, 0.0, 0.0], [1.0, 0.0, 0.0]] | units.AU)
self.assertAlmostEquals(instance.particles.velocity,
[[0.0, 0.0, 0.0], [0.0, 29.7885, 0.0]]
| units.km / units.s, 3)
instance.cleanup_code()
instance.stop()
def test09(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print(
"Testing Sakura evolve_model and getters energy, plummer sphere, no SMBH"
)
converter = nbody_system.nbody_to_si(1.0e2 | units.MSun,
1.0 | units.parsec)
instance = Sakura(converter, )
# instance.parameters.timestep_parameter = 1.0/256
instance.initialize_code()
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
numpy.random.seed(987654321)
instance.particles.add_particles(
new_plummer_model(100, convert_nbody=converter))
instance.commit_particles()
kinetic_energy = instance.kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy,
2.12292810174e+37 | units.J, 10)
self.assertAlmostRelativeEqual(potential_energy,
-4.33511391248e+37 | units.J, 10)
initial_total_energy = kinetic_energy + potential_energy
instance.evolve_model(0.1 | nbody_system.time)
kinetic_energy = instance.kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy,
2.1362368884e+37 | units.J, 4)
self.assertAlmostRelativeEqual(potential_energy,
-4.34842269914e+37 | units.J, 4)
self.assertAlmostRelativeEqual(potential_energy + kinetic_energy,
initial_total_energy, 4)
instance.cleanup_code()
instance.stop()
def xtest04(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, 2 particles orbiting the SMBH"
particles = Particles(2)
particles.mass = 1.0 | units.MSun
particles.radius = 1.0 | units.RSun
particles.position = [[0.0, 0.0, 0.0], [2.0, 0.0, 0.0]] | units.AU
particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.km / units.s
particles[1].vy = (constants.G * (10001.0 | units.MSun) / (1.0 | units.AU)).sqrt() + (
constants.G * (10000.0 | units.MSun) / (1.0 | units.AU)
).sqrt()
particles.move_to_center()
print particles
instance = Sakura(self.default_converter)
instance.initialize_code()
# instance.parameters.include_smbh = True
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
primary = instance.particles[0]
P = 2 * math.pi * primary.x / primary.vy
P_corrected = (P) * (2.0 / (1.0 + math.sqrt(1.0001)))
position_at_start = primary.position.x
instance.evolve_model(P_corrected / 4.0)
self.assertAlmostRelativeEqual(position_at_start, primary.position.y, 3)
instance.evolve_model(P_corrected / 2.0)
self.assertAlmostRelativeEqual(position_at_start, -primary.position.x, 3)
instance.evolve_model(P_corrected)
self.assertAlmostRelativeEqual(position_at_start, primary.position.x, 3)
instance.cleanup_code()
instance.stop()
def test11(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura properties"
numpy.random.seed(12345)
particles = new_plummer_model(100, do_scale=True)
particles.position += [1, 2, 3] | nbody_system.length
cluster_velocity = [4, 5, 6] | nbody_system.speed
particles.velocity += cluster_velocity
external_kinetic_energy = (0.5 | nbody_system.mass) * cluster_velocity.length_squared()
instance = Sakura()
instance.particles.add_particles(particles)
kinetic_energy = instance.kinetic_energy - external_kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy, 0.25 | nbody_system.energy, 10)
self.assertAlmostRelativeEqual(potential_energy, -0.5 | nbody_system.energy, 10)
self.assertAlmostRelativeEqual(instance.total_mass, 1.0 | nbody_system.mass, 10)
self.assertAlmostRelativeEqual(instance.center_of_mass_position,
[1, 2, 3] | nbody_system.length, 10)
self.assertAlmostRelativeEqual(instance.center_of_mass_velocity,
[4, 5, 6] | nbody_system.speed, 10)
initial_total_energy = kinetic_energy + potential_energy
instance.evolve_model(0.1 | nbody_system.time)
self.assertAlmostRelativeEqual(instance.model_time, 0.1 | nbody_system.time, 3)
kinetic_energy = instance.kinetic_energy - external_kinetic_energy
potential_energy = instance.potential_energy
self.assertAlmostRelativeEqual(kinetic_energy+potential_energy, -0.25 | nbody_system.energy, 3)
self.assertAlmostRelativeEqual(instance.total_mass, 1.0 | nbody_system.mass, 3)
self.assertAlmostRelativeEqual(instance.center_of_mass_position,
[1.4, 2.5, 3.6] | nbody_system.length, 3)
self.assertAlmostRelativeEqual(instance.center_of_mass_velocity,
[4, 5, 6] | nbody_system.speed, 3)
instance.cleanup_code()
instance.stop()
def xtest07(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing effect of Sakura parameter epsilon_squared"
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
particles = self.new_sun_earth_system()
particles.rotate(0.0, 0.0, -math.pi / 4)
particles.move_to_center()
tan_initial_direction = particles[1].vy / particles[1].vx
self.assertAlmostEquals(tan_initial_direction, math.tan(math.pi / 4))
tan_final_direction = []
for log_eps2 in range(-9, 10, 2):
instance = Sakura(converter, )
instance.initialize_code()
instance.parameters.epsilon_squared = 10.0**log_eps2 | units.AU**2
# instance.parameters.smbh_mass = 0.0 | units.MSun
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
instance.evolve_model(0.25 | units.yr)
tan_final_direction.append(instance.particles[1].velocity[1] /
instance.particles[1].velocity[0])
instance.cleanup_code()
instance.stop()
# Small values of epsilon_squared should result in normal earth-sun dynamics: rotation of 90 degrees
self.assertAlmostEquals(tan_final_direction[0],
math.tan(3 * math.pi / 4.0), 2)
# Large values of epsilon_squared should result in ~ no interaction
self.assertAlmostEquals(tan_final_direction[-1], tan_initial_direction,
2)
# Outcome is most sensitive to epsilon_squared when epsilon_squared = d(earth, sun)^2
delta = [
abs(tan_final_direction[i + 1] - tan_final_direction[i])
for i in range(len(tan_final_direction) - 1)
]
self.assertEquals(delta[len(tan_final_direction) / 2 - 1], max(delta))
def test05(self):
if MODULES_MISSING:
self.skip("Failed to import a module required for Sakura")
print "Testing Sakura evolve_model, 2 particles, no SMBH"
particles = Particles(2)
particles.mass = 1.0 | units.MSun
particles.radius = 1.0 | units.RSun
particles.position = [[0.0, 0.0, 0.0], [2.0, 0.0, 0.0]] | units.AU
particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.km / units.s
particles[1].vy = (constants.G * (2.0 | units.MSun) / (2.0 | units.AU)).sqrt()
particles.move_to_center()
print particles
converter = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU)
instance = Sakura(converter)
instance.initialize_code()
# instance.parameters.integrator_method = "asakura"
instance.commit_parameters()
instance.particles.add_particles(particles)
instance.commit_particles()
primary = instance.particles[0]
P = 2 * math.pi * primary.x / primary.vy
position_at_start = primary.position.x
instance.evolve_model(P / 4.0)
self.assertAlmostRelativeEqual(position_at_start, primary.position.y, 3)
instance.evolve_model(P / 2.0)
self.assertAlmostRelativeEqual(position_at_start, -primary.position.x, 3)
instance.evolve_model(P)
self.assertAlmostRelativeEqual(position_at_start, primary.position.x, 3)
instance.cleanup_code()
instance.stop()
