Python interface.Hermite类代码示例

    def test15(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 = Hermite()
        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 simulate_system_until(particles, end_time):
    convert_nbody = nbody_system.nbody_to_si(
        1.0 | units.MSun, 149.5e6 | units.km)

    instance = Hermite(convert_nbody)
    instance.parameters.epsilon_squared = 0.0 | units.AU**2
    instance.particles.add_particles(particles)

    t0 = 0 | units.day
    dt = 10 | units.day
    t = t0
    earth = instance.particles[1]

    x_values = quantities.AdaptingVectorQuantity()
    y_values = quantities.AdaptingVectorQuantity()

    while t < end_time:
        instance.evolve_model(t)

        x_values.append(earth.x)
        y_values.append(earth.y)

        t += dt

    instance.stop()

    return x_values, y_values

    def evolve_model(self):
        convert_nbody = nbody_system.nbody_to_si(
            1.0 | units.MSun, 149.5e6 | units.km)

        hermite = Hermite(convert_nbody)
        hermite.initialize_code()

        hermite.parameters.epsilon_squared = 0.0 | units.AU**2

        stars = self.new_system_of_sun_and_earth()
        earth = stars[1]
        sun = stars[0]
        Earth = blender.Primitives.sphere(10, 10, 0.1)  # Make the earth avatar
        Sun = blender.Primitives.sphere(32, 32, 1)  # Make the sun avatar
        hermite.particles.add_particles(stars)

        for i in range(1*365):
            hermite.evolve_model(i | units.day)
            hermite.particles.copy_values_of_all_attributes_to(stars)
            # update avatar positions:
            Earth.loc = (
                    1*earth.position.value_in(units.AU)[0],
                    1*earth.position.value_in(units.AU)[1],
                    earth.position.value_in(units.AU)[2])
            Sun.loc = (
                    1*sun.position.value_in(units.AU)[0],
                    1*sun.position.value_in(units.AU)[1],
                    sun.position.value_in(units.AU)[2])
            blender.Redraw()

        hermite.print_refs()
        hermite.stop()

 def test17(self):
     particles = new_plummer_model(50)
     particles.scale_to_standard()
     instance = Hermite()
     instance.parameters.epsilon_squared = 0.22000 | nbody_system.length**2
     instance.particles.add_particles(particles)
     self.assertEquals(len(instance.particles), 50)
     
     instance.reset()
     
     self.assertAlmostRelativeEquals(instance.parameters.epsilon_squared , 0.22000 | nbody_system.length**2)
     self.assertEquals(len(instance.particles), 0)
     instance.particles.add_particles(particles)
     self.assertEquals(len(instance.particles), 50)

    def test5(self):
        convert_nbody = nbody_system.nbody_to_si(5.0 | units.kg, 10.0 | units.m)

        instance = Hermite(convert_nbody)
        instance.initialize_code()
        
        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)
        self.assertEquals(len(instance.particles), 2)
        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 , 
                           20.0|units.m], curr_state):
            self.assertAlmostRelativeEquals(expected, actual)
        instance.stop()
        
        self.assertEquals(curr_state[0], 16|units.kg, 8)

    def test3(self):
        convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km)

        instance = Hermite(convert_nbody)
        instance.initialize_code()
        instance.parameters.epsilon_squared = 0.00001 | units.AU**2
        instance.dt_dia = 5000
        
        stars = datamodel.Stars(2)
        star1 = stars[0]
        star2 = stars[1]

        star1.mass = units.MSun(1.0)
        star1.position = units.AU(numpy.array((-1.0,0.0,0.0)))
        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((1.0,0.0,0.0)))
        star2.velocity = units.AUd(numpy.array((0.0,0.0,0.0)))
        star2.radius = units.RSun(100.0)
        
        instance.particles.add_particles(stars)
    
        for x in range(1,2000,10):
            instance.evolve_model(x | units.day)
            instance.particles.copy_values_of_all_attributes_to(stars)
            stars.savepoint()
        
        instance.stop()

 def test8(self):
     print "Testing Hermite collision_detection"
     particles = datamodel.Particles(7)
     particles.mass = 0.001 | nbody_system.mass
     particles.radius = 0.01 | nbody_system.length
     particles.x = [-101.0, -100.0, -0.5, 0.5, 100.0, 101.0, 104.0] | nbody_system.length
     particles.y = 0 | nbody_system.length
     particles.z = 0 | nbody_system.length
     particles.velocity = [[2, 0, 0], [-2, 0, 0]]*3 + [[-4, 0, 0]] | nbody_system.speed
     
     instance = Hermite()
     instance.initialize_code()
     instance.parameters.set_defaults()
     instance.particles.add_particles(particles)
     collisions = instance.stopping_conditions.collision_detection
     collisions.enable()
     instance.evolve_model(1.0 | nbody_system.time)
     
     self.assertTrue(collisions.is_set())
     self.assertTrue(instance.model_time < 0.5 | nbody_system.time)
     self.assertEquals(len(collisions.particles(0)), 3)
     self.assertEquals(len(collisions.particles(1)), 3)
     self.assertEquals(len(particles - collisions.particles(0) - collisions.particles(1)), 1)
     self.assertEquals(abs(collisions.particles(0).x - collisions.particles(1).x) <= 
             (collisions.particles(0).radius + collisions.particles(1).radius),
             [True, True, True])
     
     sticky_merged = datamodel.Particles(len(collisions.particles(0)))
     sticky_merged.mass = collisions.particles(0).mass + collisions.particles(1).mass
     sticky_merged.radius = collisions.particles(0).radius
     for p1, p2, merged in zip(collisions.particles(0), collisions.particles(1), sticky_merged):
         merged.position = (p1 + p2).center_of_mass()
         merged.velocity = (p1 + p2).center_of_mass_velocity()
     
     print instance.model_time
     print instance.particles
     instance.particles.remove_particles(collisions.particles(0) + collisions.particles(1))
     instance.particles.add_particles(sticky_merged)
     
     instance.evolve_model(1.0 | nbody_system.time)
     print
     print instance.model_time
     print instance.particles
     self.assertTrue(collisions.is_set())
     self.assertTrue(instance.model_time < 1.0 | nbody_system.time)
     self.assertEquals(len(collisions.particles(0)), 1)
     self.assertEquals(len(collisions.particles(1)), 1)
     self.assertEquals(len(instance.particles - collisions.particles(0) - collisions.particles(1)), 2)
     self.assertEquals(abs(collisions.particles(0).x - collisions.particles(1).x) <= 
             (collisions.particles(0).radius + collisions.particles(1).radius),
             [True])
     instance.stop()

 def test6(self):
     print "Test6: Testing Hermite parameters"
     convert_nbody = nbody_system.nbody_to_si(1.0 | units.yr, 1.0 | units.AU)
     instance = Hermite(convert_nbody)
     
     value = instance.get_eps2()
     self.assertEquals(0.0 | units.AU**2 , value)
     self.assertAlmostEquals(0.0 | units.AU**2, instance.parameters.epsilon_squared, in_units=units.AU**2)
     for x in [0.01, 0.1, 0.2]:
         instance.parameters.epsilon_squared = x | units.AU**2
         self.assertAlmostEquals(x | units.AU**2, instance.parameters.epsilon_squared, in_units=units.AU**2)
     
     value = instance.get_dt_param()
     self.assertEquals(0.03 , value)
     self.assertAlmostEquals(0.03 , instance.parameters.dt_param)
     for x in [0.001, 0.01, 0.1]:
         instance.parameters.dt_param = x
         self.assertAlmostEquals(x, instance.parameters.dt_param)
     
     value = instance.get_dt_dia()
     self.assertAlmostEquals(1.0 | units.yr, value)
     self.assertAlmostEquals(1.0 | units.yr, instance.parameters.dt_dia, in_units=units.yr)
     for x in [0.1, 10.0, 100.0]:
         instance.parameters.dt_dia = x | units.yr
         self.assertAlmostEquals(x | units.yr, instance.parameters.dt_dia, in_units=units.yr)
     
     value = instance.get_begin_time()
     self.assertEquals(0.0| units.yr, value)
     self.assertAlmostEquals(0.0 | units.yr, instance.parameters.begin_time, in_units=units.yr)
     for x in [1.0, 10.0, 100.0]:
         instance.parameters.begin_time = x | units.yr
         self.assertAlmostEquals(x | units.yr, instance.parameters.begin_time, in_units=units.yr)
     instance.stop()

 def test2(self):
     convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km)
 
     instance = Hermite(convert_nbody)
     instance.initialize_code()
     instance.parameters.epsilon_squared = 0.0 | units.AU**2
     instance.dt_dia = 5000
     
     stars = self.new_system_of_sun_and_earth()
     earth = stars[1]
     instance.particles.add_particles(stars)
     
     for x in range(1, 500, 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, "hermite-earth-sun2.svg")
         figure.savefig(output_file)
     
     
     
     instance.cleanup_code()
     instance.stop()

 def test22(self):
     hermite = Hermite()
     hermite.parameters.epsilon_squared = 0.0 | nbody_system.length**2
     
     particles = datamodel.Particles(2)
     particles.position = ([0,0,0], [1,0,0] )| nbody_system.length
     particles.velocity = ([-2,0,0], [2,0,0] )| nbody_system.speed
     particles.radius = 0| nbody_system.length
     particles.mass = 0.1| nbody_system.mass
             
     hermite.particles.add_particles(particles)
     hermite.stopping_conditions.out_of_box_detection.enable()
     hermite.parameters.stopping_conditions_out_of_box_size = 2 | nbody_system.length
     hermite.parameters.stopping_conditions_out_of_box_use_center_of_mass = False
     hermite.evolve_model(1 | nbody_system.time)
     print hermite.particles.x
     print hermite.particles.key, particles[1].key
     print hermite.stopping_conditions.out_of_box_detection.particles(0)
     self.assertTrue(hermite.stopping_conditions.out_of_box_detection.is_set())
     self.assertEquals(len(hermite.stopping_conditions.out_of_box_detection.particles(0)), 1)
     self.assertEquals(hermite.stopping_conditions.out_of_box_detection.particles(0)[0].key, particles[1].key)
     hermite.stop()

def simulate_small_cluster(
        number_of_stars=1000,
        end_time=40 | nbody_system.time,
        number_of_workers=1
        ):
    particles = new_plummer_model(number_of_stars)
    particles.scale_to_standard()

    gravity = Hermite(number_of_workers=number_of_workers)
    gravity.parameters.epsilon_squared = 0.15 | nbody_system.length ** 2

    gravity.particles.add_particles(particles)

    from_gravity_to_model = gravity.particles.new_channel_to(particles)

    time = 0.0 * end_time
    total_energy_at_t0 = gravity.kinetic_energy + gravity.potential_energy

    positions_at_different_times = []
    positions_at_different_times.append(particles.position)
    times = []
    times.append(time)

    print("evolving the model until t = " + str(end_time))
    while time < end_time:
        time += end_time / 3.0

        gravity.evolve_model(time)
        from_gravity_to_model.copy()

        positions_at_different_times.append(particles.position)
        times.append(time)
        print_log(time, gravity, particles, total_energy_at_t0)

    gravity.stop()

    return times, positions_at_different_times

 def test10(self):
     convert_nbody = nbody_system.nbody_to_si(1.0 | units.MSun, 149.5e6 | units.km)
 
     instance = Hermite(convert_nbody)
     instance.initialize_code()
     instance.parameters.epsilon_squared = 0.0 | units.AU**2
     instance.parameters.stopping_conditions_number_of_steps = 10
     self.assertEquals(instance.parameters.stopping_conditions_number_of_steps,10)
 
     stars = self.new_system_of_sun_and_earth()
     earth = stars[1]
             
     instance.particles.add_particles(stars)
     instance.stopping_conditions.number_of_steps_detection.enable()
     instance.evolve_model(365.0 | units.day)
     self.assertTrue(instance.stopping_conditions.number_of_steps_detection.is_set())
     instance.particles.copy_values_of_all_attributes_to(stars)
     
     instance.cleanup_code()
     
     instance.stop()

    def test19(self):
        particles = datamodel.Particles(2)
        particles.x = [0.0,200.0] | 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 = Hermite()
        instance.particles.add_particles(particles) 
        instance.commit_particles()
        self.assertEquals(instance.particles[0].radius, 0.0 | nbody_system.length)
        instance.parameters.end_time_accuracy_factor = 0.0
        instance.evolve_model(0.1 | nbody_system.time)
        self.assertAlmostRelativeEquals(instance.model_time, 0.1 |nbody_system.time, 5)
       
        instance.stop()

 def test23(self):
     hermite = Hermite()
     hermite.parameters.epsilon_squared = 0.0 | nbody_system.length**2
     
     particles = datamodel.Particles(1)
     particles.position = ([0,0,0] )| nbody_system.length
     particles.velocity = ([1,0,0] )| nbody_system.speed
     particles.radius = 0| nbody_system.length
     particles.mass = 0.1| nbody_system.mass
             
     hermite.particles.add_particles(particles)
     hermite.evolve_model(1 | nbody_system.time)
     print hermite.particles.x
     self.assertAlmostRelativeEquals(hermite.model_time, 1 | nbody_system.time)
     self.assertAlmostRelativeEquals(hermite.particles[0].x, 1 | nbody_system.length)
     hermite.evolve_model(1.5 | nbody_system.time)
     print hermite.particles.x
     self.assertAlmostRelativeEquals(hermite.model_time, 1.5 | nbody_system.time)
     self.assertAlmostRelativeEquals(hermite.particles[0].x, 1.5 | nbody_system.length)
     hermite.stop()

    def test14(self):
        instance = Hermite()
        instance.initialize_code()
        instance.parameters.epsilon_squared = 0.00001 | nbody_system.length**2
        
        particles = datamodel.Particles(2)
        particles.mass = [1.0, 1.0] | nbody_system.mass
        particles.radius =  [0.0001, 0.0001] | nbody_system.length
        particles.position = [[0.0,0.0,0.0], [2.0,0.0,0.0]] | nbody_system.length
        particles.velocity = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]] | nbody_system.speed
        instance.particles.add_particles(particles)
        
        zero = 0.0 | nbody_system.length
        fx, fy, fz = instance.get_gravity_at_point(zero, 1.0 | nbody_system.length, zero, zero)
        self.assertAlmostEqual(fx, 0.0 | nbody_system.acceleration, 6)
        self.assertAlmostEqual(fy, 0.0 | nbody_system.acceleration, 6)
        self.assertAlmostEqual(fz, 0.0 | nbody_system.acceleration, 6)

        for x in (0.25, 0.5, 0.75):
            x0 = x | nbody_system.length
            x1 = (2.0 - x) | nbody_system.length
            potential0 = instance.get_potential_at_point(zero, x0, zero, zero)
            potential1 = instance.get_potential_at_point(zero, x1, zero, zero)
            fx0, fy0, fz0 = instance.get_gravity_at_point(zero, x0, zero, zero)
            fx1, fy1, fz1 = instance.get_gravity_at_point(zero, x1, zero, zero)
            
            self.assertAlmostEqual(fy0, 0.0 | nbody_system.acceleration, 6)
            self.assertAlmostEqual(fz0, 0.0 | nbody_system.acceleration, 6)
            self.assertAlmostEqual(fy1, 0.0 | nbody_system.acceleration, 6)
            self.assertAlmostEqual(fz1, 0.0 | nbody_system.acceleration, 6)
            
            self.assertAlmostEqual(fx0, -1.0 * fx1, 5)
            fx = (-1.0 / (x0**2) + 1.0 / (x1**2)) * (1.0 | nbody_system.length ** 3 / nbody_system.time ** 2)
            self.assertAlmostEqual(fx, fx0, 2)
            self.assertAlmostEqual(potential0, potential1, 5)
        instance.stop()