def test22(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 = 0.0 | nbody_system.speed particles.vy = 0.0 | nbody_system.speed particles.vz = 0.0 | nbody_system.speed particles.mass = 1.0 | nbody_system.mass instance = FDPS() instance.particles.add_particles(particles) instance.commit_particles() self.assertEquals(instance.particles[0].radius, 0.0 | nbody_system.length) p = datamodel.Particle( x = 1.0 | nbody_system.length, y = 2.0 | nbody_system.length, z = 3.0 | nbody_system.length, vx = 1.0 | nbody_system.speed, vy = 2.0 | nbody_system.speed, vz = 3.0 | nbody_system.speed, mass = 1.0 | nbody_system.mass, radius = 4.0 | nbody_system.length, ) instance.particles.add_particle(p) self.assertEquals(instance.particles[0].radius, 0.0 | nbody_system.length) self.assertEquals(instance.particles[1].radius, 0.0 | nbody_system.length) self.assertEquals(instance.particles[2].radius, 4.0 | nbody_system.length) instance.stop()
def test11(self): convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m) instance = FDPS(convert_nbody) particles = datamodel.Particles(2) self.assertEquals(len(instance.particles), 0) particles.mass = [15.0, 30.0] | units.kg particles.radius = [10.0, 20.0] | units.m particles.position = [[10.0, 20.0, 30.0], [20.0, 40.0, 60.0]] | units.m particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.m / units.s instance.particles.add_particles(particles) copyof = instance.particles.copy() self.assertAlmostEqual(30 | units.kg, copyof[1].mass, 6) copyof[1].mass = 35 | units.kg copyof.copy_values_of_all_attributes_to(instance.particles) self.assertAlmostEqual(35 | units.kg, instance.particles[1].mass, 6) instance.stop()
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 test8(self): convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m) instance = FDPS(convert_nbody) instance.commit_parameters() particles = datamodel.Particles(2) self.assertEquals(len(instance.particles), 0) particles.mass = [15.0, 30.0] | units.kg particles.radius = [10.0, 20.0] | units.m particles.position = [[10.0, 20.0, 30.0], [20.0, 40.0, 60.0]] | units.m particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.m / units.s instance.particles.add_particles(particles) instance.commit_particles() instance.particles.mass = [17.0, 33.0] | units.kg self.assertEquals(instance.get_mass(0), 17.0| units.kg) 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 test16(self): numpy.random.seed(0) number_of_stars = 2 stars = plummer.new_plummer_model(number_of_stars) stars.radius = 0.00001 | nbody_system.length stars.scale_to_standard() instance = FDPS() instance.initialize_code() instance.parameters.epsilon_squared = (1.0 / 20.0 / (number_of_stars**0.33333) | nbody_system.length)**2 instance.parameters.timestep = 0.004 | nbody_system.time instance.parameters.timestep = 0.00001 | nbody_system.time instance.commit_parameters() print instance.parameters.timestep instance.particles.add_particles(stars) instance.commit_particles() energy_total_t0 = instance.potential_energy + instance.kinetic_energy request = instance.evolve_model.async(1.0 | nbody_system.time) request.result() energy_total_t1 = instance.potential_energy + instance.kinetic_energy self.assertAlmostRelativeEqual(energy_total_t0, energy_total_t1, 3) instance.stop() numpy.random.seed()
def test21(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.radius = 0.005 | nbody_system.length particles.vx = 0.0 | nbody_system.speed particles.vy = 0.0 | nbody_system.speed particles.vz = 0.0 | nbody_system.speed particles.mass = 1.0 | nbody_system.mass very_short_time_to_evolve = 1 | units.s very_long_time_to_evolve = 1e9 | nbody_system.time instance = FDPS() instance.initialize_code() instance.parameters.epsilon_squared = (1e-5 | nbody_system.length)**2 instance.particles.add_particles(particles) instance.commit_particles() self.assertAlmostRelativeEquals(instance.potential_energy, -0.1 | nbody_system.energy, 5) instance.stop()
def test13(self): convert_nbody = nbody_system.nbody_to_si(1.0 | units.kg, 1.0 | units.m) instance = FDPS(convert_nbody) instance.commit_parameters() particles = datamodel.Particles(2) self.assertEquals(len(instance.particles), 0) particles.mass = [30.0, 30.0] | units.kg particles.radius = [1.0, 1.0] | units.m particles.position = [[-10.0, 0.0, 0.0], [10.0, 0.0, 0.0]] | units.m particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.m / units.s instance.particles.add_particles(particles) instance.commit_particles() copyof = instance.particles.copy() com = instance.center_of_mass_position self.assertAlmostEqual(com[0], quantities.new_quantity(0.0, units.m), constants.precision) instance.stop()
def test12(self): convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m) instance = FDPS(convert_nbody) instance.commit_parameters() particles = datamodel.Particles(2) self.assertEquals(len(instance.particles), 0) particles.mass = [15.0, 30.0] | units.kg particles.radius = [10.0, 20.0] | units.m particles.position = [[10.0, 20.0, 30.0], [20.0, 40.0, 60.0]] | units.m particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | units.m / units.s instance.particles.add_particles(particles) instance.commit_particles() copyof = instance.particles.copy() instance.set_state(1, 16|units.kg, 20.0|units.m, 40.0|units.m, 60.0|units.m, 1.0|units.ms, 1.0|units.ms, 1.0|units.ms) curr_state = instance.get_state(1) for expected, actual in zip((16|units.kg, 20.0|units.m, 40.0|units.m, 60.0|units.m, 1.0|units.ms, 1.0|units.ms, 1.0|units.ms, 0 | units.m), curr_state): self.assertAlmostRelativeEquals(actual,expected) instance.set_state(1, 16|units.kg, 20.0|units.m, 40.0|units.m, 60.0|units.m, 1.0|units.ms, 1.0|units.ms, 1.0|units.ms , 20.0|units.m) curr_state = instance.get_state(1) for expected, actual in zip((16|units.kg, 20.0|units.m, 40.0|units.m, 60.0|units.m, 1.0|units.ms, 1.0|units.ms, 1.0|units.ms, 20 | units.m), curr_state): self.assertAlmostRelativeEquals(actual,expected) instance.stop()
def test6(self): convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m) instance = FDPS(convert_nbody) instance.commit_parameters() indices = instance.new_particle( [15.0, 30.0] | units.kg, [10.0, 20.0] | units.m, [20.0, 40.0] | units.m, [30.0, 50.0] | units.m, #1.0 | units.m/units.s, 1.0 | units.m/units.s, 3.0 | units.m/units.s [0.0, 0.01] | units.m/units.s, [0.0, 0.01] | units.m/units.s, [0.0, 0.01] | units.m/units.s, [10.0, 20.0] | units.m ) instance.commit_particles() self.assertEquals(instance.get_mass(indices[0]), 15.0| units.kg) self.assertEquals(instance.get_mass(indices)[0], 15.0| units.kg) self.assertRaises(AmuseException, instance.get_mass, [4,5], expected_message = "Error when calling 'get_mass' of a 'FDPS', errorcode is -1") instance.cleanup_code() instance.stop()
def test5(self): instance = FDPS() instance.commit_parameters() index = instance.new_particle( 15.0 | nbody_system.mass, 10.0 | nbody_system.length, 20.0 | nbody_system.length, 30.0 | nbody_system.length, 1.0 | nbody_system.speed, 1.0 | nbody_system.speed, 3.0 | nbody_system.speed, 10.0 | nbody_system.length ) instance.commit_particles() self.assertEquals(instance.get_mass(index), 15.0| nbody_system.mass) self.assertEquals(instance.get_radius(index), 10.0| nbody_system.length) instance.cleanup_code() instance.stop()
def test4(self): convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m) instance = FDPS(convert_nbody) instance.commit_parameters() index = instance.new_particle( 15.0 | units.kg, 10.0 | units.m, 20.0 | units.m, 30.0 | units.m, #1.0 | units.m/units.s, 1.0 | units.m/units.s, 3.0 | units.m/units.s 0.0 | units.m/units.s, 0.0 | units.m/units.s, 0.0 | units.m/units.s, 10.0 | units.m ) instance.commit_particles() self.assertEquals(instance.get_mass(index), 15.0| units.kg) self.assertEquals(instance.get_radius(index), 10.0| units.m) instance.cleanup_code() instance.stop()
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 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 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()