def check_result():
from hedge.tools import cross
deriv_dt = 1e-12
dim = discr.dimensions
true_x = setup.positions(t)
true_v = setup.velocities(t)
true_f = [(p2 - p1) / (2 * deriv_dt) for p1, p2 in zip(
setup.momenta(t - deriv_dt), setup.momenta(t + deriv_dt))]
state = ts_state.state
from pyrticle.tools import NumberShiftableVector
vis_info = state.vis_listener.particle_vis_map
sim_x = state.positions
sim_v = method.velocities(state)
sim_f = NumberShiftableVector.unwrap(vis_info["mag_force"] +
vis_info["el_force"])
sim_el_f = NumberShiftableVector.unwrap(vis_info["el_force"])
sim_mag_f = NumberShiftableVector.unwrap(vis_info["mag_force"])
local_e = setup.e()
local_b = units.MU0 * setup.h()
x_err = 0
v_err = 0
f_err = 0
for i in range(len(state)):
#real_f = numpy.array(cross(sim_v, setup.charge*local_b)) + setup.charge*local_e
my_true_x = true_x[i]
my_true_x[2] = my_true_x[2] % z_period
if False and i == 0:
#print "particle %d" % i
print "pos:", la.norm(true_x[i] - sim_x[i]) / la.norm(
true_x[i])
#print "vel:", la.norm(true_v[i]-sim_v[i])/la.norm(true_v[i])
#print "force:", la.norm(true_f[i]-sim_f[i])/la.norm(true_f[i])
print "pos:", true_x[i], sim_x[i]
#print "vel:", true_v[i], sim_v[i]
#print "force:", true_f[i], sim_f[i]
#print "forces%d:..." % i, sim_el_f[i], sim_mag_f[i]
#print "acc%d:" % i, la.norm(a-sim_a)
#u = numpy.vstack((v, sim_v, f, sim_f, real_f))
#print "acc%d:\n%s" % (i, u)
#raw_input()
def rel_err(sim, true):
return la.norm(true - sim) / la.norm(true)
x_err = max(x_err, rel_err(sim_x[i], my_true_x))
v_err = max(v_err, rel_err(sim_v[i], true_v[i]))
f_err = max(f_err, rel_err(sim_f[i], true_f[i]))
return x_err, v_err, f_err
def check_result():
from hedge.tools import cross
deriv_dt = 1e-12
dim = discr.dimensions
true_x = setup.positions(t)
true_v = setup.velocities(t)
true_f = [(p2-p1)/(2*deriv_dt)
for p1, p2 in zip(setup.momenta(t-deriv_dt), setup.momenta(t+deriv_dt))]
state = ts_state.state
from pyrticle.tools import NumberShiftableVector
vis_info = state.vis_listener.particle_vis_map
sim_x = state.positions
sim_v = method.velocities(state)
sim_f = NumberShiftableVector.unwrap(
vis_info["mag_force"] + vis_info["el_force"])
sim_el_f = NumberShiftableVector.unwrap(vis_info["el_force"])
sim_mag_f = NumberShiftableVector.unwrap(vis_info["mag_force"])
local_e = setup.e()
local_b = units.MU0 * setup.h()
x_err = 0
v_err = 0
f_err = 0
for i in range(len(state)):
#real_f = numpy.array(cross(sim_v, setup.charge*local_b)) + setup.charge*local_e
my_true_x = true_x[i]
my_true_x[2] = my_true_x[2] % z_period
if False and i == 0:
#print "particle %d" % i
print "pos:", la.norm(true_x[i]-sim_x[i])/la.norm(true_x[i])
#print "vel:", la.norm(true_v[i]-sim_v[i])/la.norm(true_v[i])
#print "force:", la.norm(true_f[i]-sim_f[i])/la.norm(true_f[i])
print "pos:", true_x[i], sim_x[i]
#print "vel:", true_v[i], sim_v[i]
#print "force:", true_f[i], sim_f[i]
#print "forces%d:..." % i, sim_el_f[i], sim_mag_f[i]
#print "acc%d:" % i, la.norm(a-sim_a)
#u = numpy.vstack((v, sim_v, f, sim_f, real_f))
#print "acc%d:\n%s" % (i, u)
#raw_input()
def rel_err(sim, true):
return la.norm(true-sim)/la.norm(true)
x_err = max(x_err, rel_err(sim_x[i], my_true_x))
v_err = max(v_err, rel_err(sim_v[i], true_v[i]))
f_err = max(f_err, rel_err(sim_f[i], true_f[i]))
return x_err, v_err, f_err
def __add__(self, update):
from hedge.tools import is_zero
if is_zero(update):
return self
from pyrticle.tools import NumberShiftableVector
#from pytools import typedump
dx, dp, ddep = update
dx = NumberShiftableVector.unwrap(dx)
dp = NumberShiftableVector.unwrap(dp)
new_state = self.method.advance_state(self.state, dx, dp, ddep)
return TimesteppablePicState(self.method, new_state)
def __add__(self, update):
from hedge.tools import is_zero
if is_zero(update):
return self
from pyrticle.tools import NumberShiftableVector
#from pytools import typedump
dx, dp, ddep = update
dx = NumberShiftableVector.unwrap(dx)
dp = NumberShiftableVector.unwrap(dp)
new_state = self.method.advance_state(self.state, dx, dp, ddep)
return TimesteppablePicState(self.method, new_state)
def advance_state(self, state, rhs):
# depositor states tend to linger on for a bit--ours here are
# big, so they need to go.
from gc import collect
collect()
from pyrticle.tools import NumberShiftableVector
return self.backend.apply_advective_particle_rhs(
state.depositor_state, state.particle_state,
NumberShiftableVector.unwrap(rhs),
state.depositor_state.rho_dof_shift_listener)
def advance_state(self, state, rhs):
# depositor states tend to linger on for a bit--ours here are
# big, so they need to go.
from gc import collect
collect()
from pyrticle.tools import NumberShiftableVector
return self.backend.apply_advective_particle_rhs(
state.depositor_state,
state.particle_state,
NumberShiftableVector.unwrap(rhs),
state.depositor_state.rho_dof_shift_listener)
def _add_to_silo(self, visualizer, db, state, time, step, beamaxis, vis_listener=None):
from pylo import DBOPT_DTIME, DBOPT_CYCLE
optlist = {}
if time is not None:
optlist[DBOPT_DTIME] = time
if step is not None:
optlist[DBOPT_CYCLE] = step
pcount = len(state)
if pcount:
# real-space ------------------------------------------------------
db.put_pointmesh("particles",
numpy.asarray(state.positions.T, order="C"), optlist)
db.put_pointvar1("charge", "particles", state.charges)
db.put_pointvar1("mass", "particles", state.masses)
db.put_pointvar("momentum", "particles",
numpy.asarray(state.momenta.T, order="C"))
db.put_pointvar("velocity", "particles",
numpy.asarray(self.velocities(state).T, order="C"))
if vis_listener is not None:
for name, value in self.vis_listener.particle_vis_map.iteritems():
from pyrticle.tools import NumberShiftableVector
value = NumberShiftableVector.unwrap(value)
dim, remainder = divmod(len(value), pcount)
assert remainder == 0, (
"particle vis value '%s' had invalid number of entries: "
"%d (#particles=%d)" % (name, len(value), pcount))
if dim == 1:
db.put_pointvar1(name, "particles", value)
else:
db.put_pointvar(name, "particles", [value[i::dim] for i in range(dim)])
# phase-space -----------------------------------------------------
axes_names = ["x", "y", "z"]
if beamaxis is not None:
for axis in range(min(self.dimensions_pos, self.dimensions_velocity)):
if axis == beamaxis:
continue
axname = axes_names[axis]
db.put_defvars("phasespace_%s" % axname,
[
("part_%s" % axname, "coord(particles)[%d]" % axis),
("part_%s_prime" % axname,
"momentum[%d]/momentum[%d]" % (axis, beamaxis)),
("part_%s_momentum" % axname,
"momentum[%d]" % (axis)),
])
def __call__(self):
vis_info = self.observer.state.vis_listener.particle_vis_map
if self.vis_field not in vis_info:
return None
sd = vis_info[self.vis_field]
if not sd:
return None
from pyrticle.tools import NumberShiftableVector
sd = NumberShiftableVector.unwrap(sd)
return sd.sum()/len(sd)
def _add_to_silo(self,
visualizer,
db,
state,
time,
step,
beamaxis,
vis_listener=None):
from pylo import DBOPT_DTIME, DBOPT_CYCLE
optlist = {}
if time is not None:
optlist[DBOPT_DTIME] = time
if step is not None:
optlist[DBOPT_CYCLE] = step
pcount = len(state)
if pcount:
# real-space ------------------------------------------------------
db.put_pointmesh("particles",
numpy.asarray(state.positions.T, order="C"),
optlist)
db.put_pointvar1("charge", "particles", state.charges)
db.put_pointvar1("mass", "particles", state.masses)
db.put_pointvar("momentum", "particles",
numpy.asarray(state.momenta.T, order="C"))
db.put_pointvar("velocity", "particles",
numpy.asarray(self.velocities(state).T, order="C"))
if vis_listener is not None:
for name, value in self.vis_listener.particle_vis_map.iteritems(
):
from pyrticle.tools import NumberShiftableVector
value = NumberShiftableVector.unwrap(value)
dim, remainder = divmod(len(value), pcount)
assert remainder == 0, (
"particle vis value '%s' had invalid number of entries: "
"%d (#particles=%d)" % (name, len(value), pcount))
if dim == 1:
db.put_pointvar1(name, "particles", value)
else:
db.put_pointvar(name, "particles",
[value[i::dim] for i in range(dim)])
# phase-space -----------------------------------------------------
axes_names = ["x", "y", "z"]
if beamaxis is not None:
for axis in range(
min(self.dimensions_pos, self.dimensions_velocity)):
if axis == beamaxis:
continue
axname = axes_names[axis]
db.put_defvars("phasespace_%s" % axname, [
("part_%s" % axname, "coord(particles)[%d]" % axis),
("part_%s_prime" % axname,
"momentum[%d]/momentum[%d]" % (axis, beamaxis)),
("part_%s_momentum" % axname, "momentum[%d]" % (axis)),
])