def test23(self): particles = datamodel.Particles(2) particles.x = [0.0,10.0] | nbody_system.length particles.y = 0.0 | nbody_system.length particles.z = 0.0 | nbody_system.length particles.vx = 1.0 | nbody_system.speed particles.vy = 0.0 | nbody_system.speed particles.vz = 0.0 | nbody_system.speed particles.mass = 0.1 | nbody_system.mass instance = FDPS(redirection="none") instance.particles.add_particles(particles) instance.parameters.timestep = 0.001 | nbody_system.time instance.commit_particles() instance.evolve_model(0.1 | nbody_system.time) self.assertFalse(instance.particles[0].vy > 0| nbody_system.speed) self.assertAlmostRelativeEquals(instance.particles[0].x , 0.1 | nbody_system.length, 4) instance.particles.new_channel_to(particles).copy() particles.vy = 1| nbody_system.speed particles.new_channel_to(instance.particles).copy() instance.evolve_model(0.2 | nbody_system.time) self.assertTrue(instance.particles[0].vy > 0| nbody_system.speed) self.assertAlmostRelativeEquals(instance.particles[0].y , 0.1 | nbody_system.length, 4) instance.stop()
def test2(self): #not completed convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km) instance = FDPS(convert_nbody) #instance.dt_dia = 1 instance.parameters.epsilon_squared = 0.001 | units.AU**2 #instance.timestep = 0.0001 #instance.use_self_gravity = 0 instance.commit_parameters() stars = datamodel.Stars(2) sun = stars[0] sun.mass = units.MSun(1.0) sun.position = units.m(numpy.array((0.0,0.0,0.0))) sun.velocity = units.ms(numpy.array((0.0,0.0,0.0))) sun.radius = units.RSun(1.0) earth = stars[1] earth.mass = units.kg(5.9736e24) earth.radius = units.km(6371) earth.position = units.km(numpy.array((149.5e6,0.0,0.0))) earth.velocity = units.ms(numpy.array((0.0,29800,0.0))) instance.particles.add_particles(stars) instance.commit_particles() self.assertAlmostRelativeEquals(sun.radius, instance.particles[0].radius) for x in range(1,2000,10): instance.evolve_model(x | units.day) instance.particles.copy_values_of_all_attributes_to(stars) stars.savepoint() if HAS_MATPLOTLIB: figure = pyplot.figure() plot = figure.add_subplot(1,1,1) x_points = earth.get_timeline_of_attribute("x") y_points = earth.get_timeline_of_attribute("y") x_points_in_AU = map(lambda (t,x) : x.value_in(units.AU), x_points) y_points_in_AU = map(lambda (t,x) : x.value_in(units.AU), y_points) plot.scatter(x_points_in_AU,y_points_in_AU, color = "b", marker = 'o') plot.set_xlim(-1.5, 1.5) plot.set_ylim(-1.5, 1.5) test_results_path = self.get_path_to_results() output_file = os.path.join(test_results_path, "fdps-earth-sun.svg") figure.savefig(output_file) instance.cleanup_code() instance.stop()
def test15(self): print "Test15: Testing effect of FDPS parameter epsilon_squared" convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 1.0 | units.AU) particles = datamodel.Particles(2) sun = particles[0] sun.mass = 1.0 | units.MSun sun.position = [0.0, 0.0, 0.0] | units.AU sun.velocity = [0.0, 0.0, 0.0] | units.AU / units.yr sun.radius = 1.0 | units.RSun earth = particles[1] earth.mass = 5.9736e24 | units.kg earth.radius = 6371.0 | units.km earth.position = [0.0, 1.0, 0.0] | units.AU earth.velocity = [2.0*numpy.pi, -0.0001, 0.0] | units.AU / units.yr initial_direction = math.atan((earth.velocity[0]/earth.velocity[1])) final_direction = [] for log_eps2 in range(-9,10,2): instance = FDPS(convert_nbody) instance.initialize_code() instance.parameters.epsilon_squared = 10.0**log_eps2 | units.AU ** 2 instance.parameters.timestep = 0.005 | units.yr instance.particles.add_particles(particles) instance.commit_particles() instance.evolve_model(0.25 | units.yr) final_direction.append(math.atan((instance.particles[1].velocity[0]/ instance.particles[1].velocity[1]))) instance.stop() # Small values of epsilon_squared should result in normal earth-sun dynamics: rotation of 90 degrees self.assertAlmostEquals(abs(final_direction[0]), abs(initial_direction+math.pi/2.0), 2) # Large values of epsilon_squared should result in ~ no interaction self.assertAlmostEquals(final_direction[-1], initial_direction, 2) # Outcome is most sensitive to epsilon_squared when epsilon_squared = d(earth, sun)^2 delta = [abs(final_direction[i+1]-final_direction[i]) for i in range(len(final_direction)-1)] self.assertEquals(delta[len(final_direction)//2 -1], max(delta))
def test3(self): convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km) instance = FDPS(convert_nbody) #instance.dt_dia = 1 instance.parameters.epsilon_squared = 0.001 | units.AU**2 #instance.timestep = 0.0001 #instance.use_self_gravity = 0 instance.commit_parameters() stars = datamodel.Stars(2) star1 = stars[0] star2 = stars[1] star1.mass = units.MSun(1.0) star1.position = units.AU(numpy.array((-.10,0.0,0.0))) star1.velocity = units.AUd(numpy.array((0.0,0.0,0.0))) star1.radius = units.RSun(1.0) star2.mass = units.MSun(1.0) star2.position = units.AU(numpy.array((.10,0.0,0.0))) star2.velocity = units.AUd(numpy.array((0.0,0.0,0.0))) star2.radius = units.RSun(100.0) instance.particles.add_particles(stars) instance.commit_particles() for x in range(1,200,1): instance.evolve_model(x | units.day) instance.particles.copy_values_of_all_attributes_to(stars) #instance.get_indices_of_colliding_particles() #print stars[0].position-stars[1].position stars.savepoint() instance.cleanup_code() instance.stop()
def test1(self): convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km) instance = FDPS(convert_nbody) instance.parameters.epsilon_squared = 0.001 | units.AU**2 stars = datamodel.Stars(2) sun = stars[0] sun.mass = units.MSun(1.0) sun.position = [0.0,0.0,0.0] | units.m sun.velocity = [0.0,0.0,0.0] | units.ms sun.radius = units.RSun(1.0) earth = stars[1] earth.mass = units.kg(5.9736e24) earth.radius = units.km(6371) earth.position = [149.5e6, 0.0, 0.0] | units.km earth.velocity = [0.0, 29800, 0.0] | units.ms #instance.particles.add_particles(stars) instance.particles.add_particles(stars) postion_at_start = earth.position.value_in(units.AU)[0] instance.evolve_model(365.0 | units.day) instance.particles.copy_values_of_all_attributes_to(stars) postion_after_full_rotation = earth.position.value_in(units.AU)[0] self.assertAlmostEqual(postion_at_start, postion_after_full_rotation, 3) instance.evolve_model(365.0 + (365.0 / 2) | units.day) instance.particles.copy_values_of_all_attributes_to(stars) postion_after_half_a_rotation = earth.position.value_in(units.AU)[0] self.assertAlmostEqual(-postion_at_start, postion_after_half_a_rotation, 2) instance.evolve_model(365.0 + (365.0 / 2) + (365.0 / 4) | units.day) instance.particles.copy_values_of_all_attributes_to(stars) postion_after_half_a_rotation = earth.position.value_in(units.AU)[1] self.assertAlmostEqual(-postion_at_start, postion_after_half_a_rotation, 1) instance.cleanup_code() instance.stop()