def test_spherical_coordinate_projections():
normal = [0, 0, 1]
theta = get_sph_theta(coords, normal)
phi = get_sph_phi(coords, normal)
zero = np.tile(0, coords.shape[1])
# Purely radial field
vecs = np.array([
np.sin(theta) * np.cos(phi),
np.sin(theta) * np.sin(phi),
np.cos(theta)
])
assert_array_almost_equal(
zero, get_sph_theta_component(vecs, theta, phi, normal))
assert_array_almost_equal(zero, get_sph_phi_component(vecs, phi, normal))
# Purely toroidal field
vecs = np.array([-np.sin(phi), np.cos(phi), zero])
assert_array_almost_equal(
zero, get_sph_theta_component(vecs, theta, phi, normal))
assert_array_almost_equal(zero,
get_sph_r_component(vecs, theta, phi, normal))
# Purely poloidal field
vecs = np.array([
np.cos(theta) * np.cos(phi),
np.cos(theta) * np.sin(phi), -np.sin(theta)
])
assert_array_almost_equal(zero, get_sph_phi_component(vecs, phi, normal))
assert_array_almost_equal(zero,
get_sph_r_component(vecs, theta, phi, normal))
def _radial(field, data):
normal = data.get_field_parameter("normal")
vectors = obtain_rv_vec(data, (xn, yn, zn), "bulk_%s" % basename)
theta = data['index', 'spherical_theta']
phi = data['index', 'spherical_phi']
rv = get_sph_r_component(vectors, theta, phi, normal)
# Now, anywhere that radius is in fact zero, we want to zero out our
# return values.
rv[np.isnan(theta)] = 0.0
return rv
def test_spherical_coordinate_projections():
normal = [0, 0, 1]
theta = get_sph_theta(coords, normal)
phi = get_sph_phi(coords, normal)
zero = np.tile(0,coords.shape[1])
# Purely radial field
vecs = np.array([np.sin(theta)*np.cos(phi), np.sin(theta)*np.sin(phi), np.cos(theta)])
assert_array_almost_equal(zero, get_sph_theta_component(vecs, theta, phi, normal))
assert_array_almost_equal(zero, get_sph_phi_component(vecs, phi, normal))
# Purely toroidal field
vecs = np.array([-np.sin(phi), np.cos(phi), zero])
assert_array_almost_equal(zero, get_sph_theta_component(vecs, theta, phi, normal))
assert_array_almost_equal(zero, get_sph_r_component(vecs, theta, phi, normal))
# Purely poloidal field
vecs = np.array([np.cos(theta)*np.cos(phi), np.cos(theta)*np.sin(phi), -np.sin(theta)])
assert_array_almost_equal(zero, get_sph_phi_component(vecs, phi, normal))
assert_array_almost_equal(zero, get_sph_r_component(vecs, theta, phi, normal))
def _particle_velocity_spherical_radius(field, data):
"""The spherical radius component of the particle velocities in an
arbitrary coordinate system
Relative to the coordinate system defined by the *normal* vector,
*bulk_velocity* vector and *center* field parameters.
"""
normal = data.get_field_parameter("normal")
pos = data["relative_particle_position"].T
vel = data["relative_particle_velocity"].T
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _spherical_radius_component(field, data):
"""The spherical radius component of the vector field
Relative to the coordinate system defined by the *normal* vector,
*center*, and *bulk_* field parameters.
"""
normal = data.get_field_parameter("normal")
vectors = obtain_rv_vec(data, (xn, yn, zn), "bulk_%s" % basename)
theta = data['index', 'spherical_theta']
phi = data['index', 'spherical_phi']
rv = get_sph_r_component(vectors, theta, phi, normal)
# Now, anywhere that radius is in fact zero, we want to zero out our
# return values.
rv[np.isnan(theta)] = 0.0
return rv
def _ENZOTEST_gas_radial_velocity(field, data):
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
#pos = "%"
pos = YTArray([data['index', ax].in_units('cm') for ax in "xyz"], 'cm')
vel = "velocity_%s"
vel = YTArray([data['gas', vel % ax].in_units('km/s') for ax in "xyz"], 'km/s')
pos = np.reshape(pos, (3, pos.size/3))
pos = pos - np.reshape(center, (3, 1))
vel = np.reshape(vel, (3, vel.size/3))
vel = vel - np.reshape(bv, (3, 1))
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _particle_spherical_position_radius(field, data):
"""
Radial component of the particles' position vectors in spherical coords
on the provided field parameters for 'normal', 'center', and
'bulk_velocity',
"""
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
pos = spos
pos = YTArray([data[ptype, pos % ax] for ax in "xyz"])
theta = get_sph_theta(pos, center)
phi = get_sph_phi(pos, center)
pos = pos - np.reshape(center, (3, 1))
sphr = get_sph_r_component(pos, theta, phi, normal)
return sphr
def _spherical_radius_component(field, data):
"""The spherical radius component of the vector field
Relative to the coordinate system defined by the *normal* vector,
*center*, and *bulk_* field parameters.
"""
normal = data.get_field_parameter("normal")
vectors = obtain_rv_vec(data, (xn, yn, zn),
"bulk_%s" % basename)
theta = data['index', 'spherical_theta']
phi = data['index', 'spherical_phi']
rv = get_sph_r_component(vectors, theta, phi, normal)
# Now, anywhere that radius is in fact zero, we want to zero out our
# return values.
rv[np.isnan(theta)] = 0.0
return rv
def _particle_radial_velocity(field, data):
ptype="all"
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
pos = "particle_position_%s"
pos = YTArray([data[ptype, pos % ax].in_units('cm') for ax in "xyz"], 'cm')
vel = "particle_velocity_%s"
vel = YTArray([data[ptype, vel % ax].in_units('km/s') for ax in "xyz"], 'km/s')
pos = np.reshape(pos, (3, pos.size/3))
pos = pos - np.reshape(center, (3, 1))
vel = np.reshape(vel, (3, vel.size/3))
vel = vel - np.reshape(bv, (3, 1))
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _ENZOTEST_gas_radial_velocity(field, data):
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
#pos = "%"
pos = YTArray([data['index', ax].in_units('cm') for ax in "xyz"], 'cm')
vel = "velocity_%s"
vel = YTArray([data['gas', vel % ax].in_units('km/s') for ax in "xyz"],
'km/s')
pos = np.reshape(pos, (3, pos.size / 3))
pos = pos - np.reshape(center, (3, 1))
vel = np.reshape(vel, (3, vel.size / 3))
vel = vel - np.reshape(bv, (3, 1))
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _particle_velocity_spherical_radius(field, data):
"""The spherical radius component of the particle velocities in an
arbitrary coordinate system
Relative to the coordinate system defined by the *normal* vector,
*bulk_velocity* vector and *center* field parameters.
"""
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
pos = data.ds.arr([data[ptype, spos % ax] for ax in "xyz"])
vel = data.ds.arr([data[ptype, svel % ax] for ax in "xyz"])
pos = pos - np.reshape(center, (3, 1))
vel = vel - np.reshape(bv, (3, 1))
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _particle_velocity_spherical_radius(field, data):
"""The spherical radius component of the particle velocities in an
arbitrary coordinate system
Relative to the coordinate system defined by the *normal* vector,
*bulk_velocity* vector and *center* field parameters.
"""
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
pos = data.ds.arr([data[ptype, spos % ax] for ax in "xyz"])
vel = data.ds.arr([data[ptype, svel % ax] for ax in "xyz"])
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
pos = pos - np.reshape(center, (3, 1))
vel = vel - np.reshape(bv, (3, 1))
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr
def _particle_radial_velocity(field, data):
ptype = "all"
normal = data.get_field_parameter('normal')
center = data.get_field_parameter('center')
bv = data.get_field_parameter("bulk_velocity")
pos = "particle_position_%s"
pos = YTArray([data[ptype, pos % ax].in_units('cm') for ax in "xyz"], 'cm')
vel = "particle_velocity_%s"
vel = YTArray([data[ptype, vel % ax].in_units('km/s') for ax in "xyz"],
'km/s')
pos = np.reshape(pos, (3, pos.size / 3))
pos = pos - np.reshape(center, (3, 1))
vel = np.reshape(vel, (3, vel.size / 3))
vel = vel - np.reshape(bv, (3, 1))
theta = get_sph_theta(pos, normal)
phi = get_sph_phi(pos, normal)
sphr = get_sph_r_component(vel, theta, phi, normal)
return sphr