def run_test(fld, seeds, plot2d=True, plot3d=True, add_title="",
view_kwargs=None, show=False):
interpolated_fld = viscid.interp_trilin(fld, seeds)
seed_name = seeds.__class__.__name__
if add_title:
seed_name += " " + add_title
try:
if not plot2d:
raise ImportError
from viscid.plot import mpl
mpl.plt.clf()
# mpl.plt.plot(seeds.get_points()[2, :], fld)
mpl_plot_kwargs = dict()
if interpolated_fld.is_spherical():
mpl_plot_kwargs['hemisphere'] = 'north'
mpl.plot(interpolated_fld, **mpl_plot_kwargs)
mpl.plt.title(seed_name)
mpl.plt.savefig(next_plot_fname(__file__, series='2d'))
if show:
mpl.plt.show()
except ImportError:
pass
try:
if not plot3d:
raise ImportError
from viscid.plot import mvi
try:
fig = _global_ns['figure']
mvi.clf()
except KeyError:
fig = mvi.figure(size=[1200, 800], offscreen=not show)
_global_ns['figure'] = fig
try:
mesh = mvi.mesh_from_seeds(seeds, scalars=interpolated_fld)
mesh.actor.property.backface_culling = True
except RuntimeError:
pass
pts = seeds.get_points()
p = mvi.points3d(pts[0], pts[1], pts[2], interpolated_fld.flat_data,
scale_mode='none', scale_factor=0.02)
mvi.axes(p)
mvi.title(seed_name)
if view_kwargs:
mvi.view(**view_kwargs)
mvi.savefig(next_plot_fname(__file__, series='3d'))
if show:
mvi.show()
except ImportError:
pass
def run_test(_fld, _seeds, plot2d=True, plot3d=True, title="", show=False, **kwargs):
lines, topo = viscid.calc_streamlines(_fld, _seeds, **kwargs)
topo_color = viscid.topology2color(topo)
# downsample lines for plotting
lines = [line[:, ::8] for line in lines]
try:
if not plot2d:
raise ImportError
from viscid.plot import mpl
mpl.plt.clf()
mpl.plot2d_lines(lines, scalars=topo_color, symdir="y", marker="^")
if title:
mpl.plt.title(title)
mpl.plt.savefig(next_plot_fname(__file__, series="2d"))
if show:
mpl.plt.show()
except ImportError:
pass
try:
if not plot3d:
raise ImportError
from viscid.plot import mvi
try:
fig = _global_ns["figure"]
mvi.clf()
except KeyError:
fig = mvi.figure(size=[1200, 800], offscreen=not show)
_global_ns["figure"] = fig
fld_mag = np.log(viscid.magnitude(_fld))
try:
# note: mayavi.mlab.mesh can't take color tuples as scalars
# so one can't use topo_color on a mesh surface. This
# is a limitation of mayavi. To actually plot a specific
# set of colors on a mesh, one must use a texture
mesh = mvi.mesh_from_seeds(_seeds, scalars=topo, opacity=0.6)
mesh.actor.property.backface_culling = True
except RuntimeError:
pass
mvi.plot_lines(lines, scalars=fld_mag, tube_radius=0.01, cmap="viridis")
if title:
mvi.title(title)
mvi.savefig(next_plot_fname(__file__, series="3d"))
if show:
mvi.show()
except ImportError:
pass
def main():
parser = argparse.ArgumentParser(description="Test quasi potential")
parser.add_argument("--show", "--plot", action="store_true")
args = vutil.common_argparse(parser)
b, e = make_arcade(8.0, N=[64, 64, 64])
epar = viscid.project(e, b)
epar.pretty_name = "E parallel"
###############
# Calculate Xi
seeds = viscid.Volume(xl=[-10, 0.0, -10], xh=[10, 0.0, 10],
n=[64, 1, 64])
b_lines, _ = viscid.calc_streamlines(b, seeds)
xi_dat = viscid.integrate_along_lines(b_lines, e, reduction='dot')
xi = seeds.wrap_field(xi_dat, name='xi', pretty_name=r"$\Xi$")
################################
# Make 2D Matplotlib plot of Xi
mpl.plot(xi, x=(-10, 10), y=(-10, 10), style='contourf', levels=256,
lin=(2e-4, 1.5718))
mpl.plot(xi, x=(-10, 10), y=(-10, 10), style='contour', colors='grey',
levels=[0.5, 1.0])
mpl.savefig(next_plot_fname(__file__))
if args.show:
mpl.show()
############################################################
# Make 3D mayavi plot of Xi and the 'brightest' field lines
# as well as some other field lines for context
try:
from viscid.plot import mvi
except ImportError:
xfail("Mayavi not installed")
mvi.figure(size=[1200, 800], offscreen=not args.show)
inds = np.argsort(xi_dat)[-64:]
inds = np.concatenate([inds, np.arange(len(xi_dat))[::71]])
s = mvi.plot_lines(b_lines[inds], scalars=epar, cmap='viridis')
mvi.mesh_from_seeds(seeds, scalars=xi, cmap='inferno')
mvi.colorbar(s, orientation='horizontal', title=epar.pretty_name)
# mvi.streamline(b, scalars=e, seedtype='sphere', seed_resolution=4,
# integration_direction='both')
oa = mvi.orientation_axes()
oa.marker.set_viewport(0.75, 0.75, 1.0, 1.0)
mvi.view(roll=0, azimuth=90, elevation=25, distance=30.0,
focalpoint=[0, 2, 0])
mvi.savefig(next_plot_fname(__file__))
if args.show:
mvi.show()
def run_test(_fld, _seeds, plot2d=True, plot3d=True, show=False, **kwargs):
lines, topo = viscid.calc_streamlines(_fld, _seeds, **kwargs)
topo_fld = _seeds.wrap_field(topo)
topo_color = viscid.topology2color(topo)
# downsample lines for plotting
lines = [line[:, ::8] for line in lines]
try:
if not plot2d:
raise ImportError
from viscid.plot import mpl
mpl.plt.clf()
mpl.plot2d_lines(lines, scalars=topo_color, symdir="y", marker="^")
if show:
mpl.plt.show()
except ImportError:
pass
try:
if not plot3d:
raise ImportError
from viscid.plot import mvi
mvi.clf()
fld_mag = np.log(viscid.magnitude(_fld))
try:
# note: mayavi.mlab.mesh can't take color tuples as scalars
# so one can't use topo_color on a mesh surface. This
# is a limitation of mayavi. To actually plot a specific
# set of colors on a mesh, one must use a texture
vertices, scalars = _seeds.wrap_mesh(topo_fld.data)
mesh = mvi.mlab.mesh(vertices[0], vertices[1], vertices[2], scalars=scalars, opacity=0.5)
mesh.actor.property.backface_culling = True
except RuntimeError:
pass
mvi.plot_lines(lines, scalars=fld_mag, tube_radius=0.005)
if show:
mvi.show()
except ImportError:
pass
def _main():
try:
# raise ImportError
from viscid.plot import mvi
_HAS_MVI = True
except ImportError:
_HAS_MVI = False
def _test(_p1, _p2, r1=None, r2=None, color=(0.8, 0.8, 0.8)):
if r1 is not None:
_p1 = r1 * np.asarray(_p1) / np.linalg.norm(_p1)
if r2 is not None:
_p2 = r2 * np.asarray(_p2) / np.linalg.norm(_p2)
circ = great_circle(_p1, _p2)
if not np.all(np.isclose(circ[:, 0], _p1)):
print("!! great circle error P1:", _p1, ", P2:", _p2)
print(" first_point:", circ[:, 0], "!= P1")
if not np.all(np.isclose(circ[:, -1], _p2)):
print("!! great circle error P1:", _p1, ", P2:", _p2)
print(" last_point:", circ[:, -1], "!= P2")
if _HAS_MVI:
mvi.plot_lines([circ], tube_radius=0.02, color=color)
print("TEST 1")
_test([1, 0, 0], [0, 1, 0], r1=1.0, r2=1.0, color=(0.8, 0.8, 0.2))
print("TEST 2")
_test([1, 0, 0], [-1, 0, 0], r1=1.0, r2=1.0, color=(0.2, 0.8, 0.8))
print("TEST 3")
_test([1, 1, 0.01], [-1, -1, 0.01], r1=1.0, r2=1.5, color=(0.8, 0.2, 0.8))
print("TEST 4")
_test([-0.9947146, 1.3571029, 2.6095123], [-0.3371437, -1.5566425, 2.6634643], color=(0.8, 0.2, 0.2))
print("TEST 5")
_test([0.9775307, -1.3741084, 2.6030273], [0.3273931, 1.5570284, 2.6652965], color=(0.2, 0.2, 0.8))
if _HAS_MVI:
mvi.plot_blue_marble(r=1.0, lines=False, ntheta=64, nphi=128)
mvi.plot_earth_3d(radius=1.01, night_only=True, opacity=0.5)
mvi.show()
return 0
def _main():
f = viscid.load_file("$WORK/xi_fte_001/*.3d.[4050f].xdmf")
mp = get_mp_info(f['pp'], f['b'], f['j'], f['e_cc'], fit='mp_xloc',
slc="x=6.5f:10.5f, y=-4f:4f, z=-4.8f:3f", cache=False)
y, z = mp['pp_max_xloc'].meshgrid_flat(prune=True)
x = mp['pp_max_xloc'].data.reshape(-1)
Y, Z = mp['pp_max_xloc'].meshgrid(prune=True)
x2 = paraboloid(Y, Z, *mp['paraboloid'][0])
skip = 117
n = paraboloid_normal(Y, Z, *mp['paraboloid'][0]).reshape(3, -1)[:, ::skip]
minvar_y = Y.reshape(-1)[::skip]
minvar_z = Z.reshape(-1)[::skip]
minvar_n = np.zeros([3, len(minvar_y)])
for i in range(minvar_n.shape[0]):
p0 = [0.0, minvar_y[i], minvar_z[i]]
p0[0] = mp['pp_max_xloc']['y={0[0]}f, z={0[1]}f'.format(p0)]
minvar_n[:, i] = viscid.find_minvar_lmn_around(f['b'], p0, l=2.0, n=64)[2, :]
# 2d plots, normals don't look normal in the matplotlib projection
if False: # pylint: disable=using-constant-test
from viscid.plot import mpl
normals = paraboloid_normal(Y, Z, *mp['paraboloid'][0])
p0 = np.array([x2, Y, Z]).reshape(3, -1)
p1 = p0 + normals.reshape(3, -1)
mpl.scatter_3d(np.vstack([x, y, z])[:, ::skip], equal=True)
for i in range(0, p0.shape[1], skip):
mpl.plt.gca().plot([p0[0, i], p1[0, i]],
[p0[1, i], p1[1, i]],
[p0[2, i], p1[2, i]], color='c')
# z2 = _ellipsiod(X, Y, *popt)
mpl.plt.gca().plot_surface(Y, Z, x2, color='r')
mpl.show()
# mayavi 3d plots, normals look better here
if True: # pylint: disable=using-constant-test
from viscid.plot import mvi
mvi.points3d(x[::skip], y[::skip], z[::skip], scale_factor=0.25,
color=(0.0, 0.0, 1.0))
mp_width = mp['mp_width']['x=0']
mp_sheath_edge = mp['mp_sheath_edge']['x=0']
mp_sphere_edge = mp_sheath_edge - mp_width
mvi.mesh(x2, Y, Z, scalars=mp_width.data)
mvi.mesh(mp_sheath_edge.data, Y, Z, opacity=0.75, color=(0.75, ) * 3)
mvi.mesh(mp_sphere_edge.data, Y, Z, opacity=0.75, color=(0.75, ) * 3)
n = paraboloid_normal(Y, Z, *mp['paraboloid'][0]).reshape(3, -1)[:, ::skip]
mvi.quiver3d(x2.reshape(-1)[::skip],
Y.reshape(-1)[::skip],
Z.reshape(-1)[::skip],
n[0], n[1], n[2], color=(1, 0, 0))
mvi.quiver3d(x2.reshape(-1)[::skip],
Y.reshape(-1)[::skip],
Z.reshape(-1)[::skip],
minvar_n[0], minvar_n[1], minvar_n[2], color=(0, 0, 1))
mvi.show()
def main():
parser = argparse.ArgumentParser(description="Test calc")
parser.add_argument("--show", "--plot", action="store_true")
parser.add_argument("--interact", "-i", action="store_true")
args = vutil.common_argparse(parser)
f3d = viscid.load_file(sample_dir + '/sample_xdmf.3d.[0].xdmf')
f_iono = viscid.load_file(sample_dir + "/sample_xdmf.iof.[0].xdmf")
b = f3d["b"]
v = f3d["v"]
pp = f3d["pp"]
e = f3d["e_cc"]
mvi.figure(size=(1200, 800), offscreen=not args.show)
##########################################################
# make b a dipole inside 3.1Re and set e = 0 inside 4.0Re
cotr = viscid.Cotr(dip_tilt=0.0) # pylint: disable=not-callable
moment = cotr.get_dipole_moment(crd_system=b)
isphere_mask = viscid.make_spherical_mask(b, rmax=3.1)
viscid.fill_dipole(b, m=moment, mask=isphere_mask)
e_mask = viscid.make_spherical_mask(b, rmax=4.0)
viscid.set_in_region(e, 0.0, alpha=0.0, mask=e_mask, out=e)
######################################
# plot a scalar cut plane of pressure
pp_src = mvi.field2source(pp, center='node')
scp = mvi.scalar_cut_plane(pp_src, plane_orientation='z_axes', opacity=0.5,
transparent=True, view_controls=False,
cmap="inferno", logscale=True)
scp.implicit_plane.normal = [0, 0, -1]
scp.implicit_plane.origin = [0, 0, 0]
cbar = mvi.colorbar(scp, title=pp.name, orientation='vertical')
######################################
# plot a vector cut plane of the flow
vcp = mvi.vector_cut_plane(v, scalars=pp_src, plane_orientation='z_axes',
view_controls=False, mode='arrow',
cmap='Greens_r')
vcp.implicit_plane.normal = [0, 0, -1]
vcp.implicit_plane.origin = [0, 0, 0]
##############################
# plot very faint isosurfaces
iso = mvi.iso_surface(pp_src, contours=5, opacity=0.1, cmap=False)
##############################################################
# calculate B field lines && topology in Viscid and plot them
seeds = viscid.SphericalPatch([0, 0, 0], [2, 0, 1], 30, 15, r=5.0,
nalpha=5, nbeta=5)
b_lines, topo = viscid.calc_streamlines(b, seeds, ibound=3.5,
obound0=[-25, -20, -20],
obound1=[15, 20, 20], wrap=True)
mvi.plot_lines(b_lines, scalars=viscid.topology2color(topo))
######################################################################
# plot a random circle at geosynchronus orbit with scalars colored
# by the Matplotlib viridis color map, just because we can; this is
# a useful toy for debugging
circle = viscid.Circle(p0=[0, 0, 0], r=6.618, n=128, endpoint=True)
scalar = np.sin(circle.as_local_coordinates().get_crd('phi'))
surf = mvi.plot_line(circle.get_points(), scalars=scalar, clim=0.8,
cmap="Spectral_r")
######################################################################
# Use Mayavi (VTK) to calculate field lines using an interactive seed
# These field lines are colored by E parallel
epar = viscid.project(e, b)
epar.name = "Epar"
bsl2 = mvi.streamline(b, epar, seedtype='sphere', seed_resolution=4,
integration_direction='both', clim=(-0.05, 0.05))
# now tweak the VTK streamlines
bsl2.stream_tracer.maximum_propagation = 20.
bsl2.seed.widget.center = [-11, 0, 0]
bsl2.seed.widget.radius = 1.0
bsl2.streamline_type = 'tube'
bsl2.tube_filter.radius = 0.03
bsl2.stop() # this stop/start was a hack to get something to update
bsl2.start()
bsl2.seed.widget.enabled = False
cbar = mvi.colorbar(bsl2, title=epar.name, orientation='horizontal')
cbar.scalar_bar_representation.position = (0.2, 0.01)
cbar.scalar_bar_representation.position2 = (0.6, 0.14)
###############################################################
# Make a contour at the open-closed boundary in the ionosphere
seeds_iono = viscid.Sphere(r=1.063, pole=-moment, ntheta=256, nphi=256,
thetalim=(0, 180), philim=(0, 360), crd_system=b)
_, topo_iono = viscid.calc_streamlines(b, seeds_iono, ibound=1.0,
nr_procs='all',
output=viscid.OUTPUT_TOPOLOGY)
topo_iono = np.log2(topo_iono)
m = mvi.mesh_from_seeds(seeds_iono, scalars=topo_iono, opacity=1.0,
clim=(0, 3), color=(0.992, 0.445, 0.0))
m.enable_contours = True
####################################################################
# Plot the ionosphere, note that the sample data has the ionosphere
# at a different time, so the open-closed boundary found above
# will not be consistant with the field aligned currents
fac_tot = 1e9 * f_iono['fac_tot']
m = mvi.plot_ionosphere(fac_tot, bounding_lat=30.0, vmin=-300, vmax=300,
opacity=0.75, rotate=cotr, crd_system=b)
m.actor.property.backface_culling = True
########################################################################
# Add some markers for earth, i.e., real earth, and dayside / nightside
# representation
mvi.plot_blue_marble(r=1.0, lines=False, ntheta=64, nphi=128,
rotate=cotr, crd_system=b)
# now shade the night side with a transparent black hemisphere
mvi.plot_earth_3d(radius=1.01, night_only=True, opacity=0.5, crd_system=b)
####################
# Finishing Touches
# mvi.axes(pp_src, nb_labels=5)
oa = mvi.orientation_axes()
oa.marker.set_viewport(0.75, 0.75, 1.0, 1.0)
# note that resize won't work if the current figure has the
# off_screen_rendering flag set
# mvi.resize([1200, 800])
mvi.view(azimuth=45, elevation=70, distance=35.0, focalpoint=[-2, 0, 0])
##############
# Save Figure
# print("saving png")
# mvi.savefig('mayavi_msphere_sample.png')
# print("saving x3d")
# # x3d files can be turned into COLLADA files with meshlab, and
# # COLLADA (.dae) files can be opened in OS X's preview
# #
# # IMPORTANT: for some reason, using bounding_lat in mvi.plot_ionosphere
# # causes a segfault when saving x3d files
# #
# mvi.savefig('mayavi_msphere_sample.x3d')
# print("done")
mvi.savefig(next_plot_fname(__file__))
###########################
# Interact Programatically
if args.interact:
mvi.interact()
#######################
# Interact Graphically
if args.show:
mvi.show()
def main():
parser = argparse.ArgumentParser()
parser.add_argument("--notwo", dest='notwo', action="store_true")
parser.add_argument("--nothree", dest='nothree', action="store_true")
parser.add_argument("--show", "--plot", action="store_true")
args = viscid.vutil.common_argparse(parser, default_verb=0)
plot2d = not args.notwo
plot3d = not args.nothree
# plot2d = True
# plot3d = True
# args.show = True
img = np.load(sample_dir + "/logo.npy")
x = np.linspace(-1, 1, img.shape[0])
y = np.linspace(-1, 1, img.shape[1])
z = np.linspace(-1, 1, img.shape[2])
logo = viscid.arrays2field(img, [x, y, z])
if 1:
viscid.logger.info('Testing Line...')
seeds = viscid.Line([-1, -1, 0], [1, 1, 2], n=5)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, show=args.show)
if 1:
viscid.logger.info('Testing Plane...')
seeds = viscid.Plane([0.0, 0.0, 0.0], [1, 1, 1], [1, 0, 0], 2, 2,
nl=160, nm=170, NL_are_vectors=True)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, show=args.show)
if 1:
viscid.logger.info('Testing Volume...')
seeds = viscid.Volume([-0.8, -0.8, -0.8], [0.8, 0.8, 0.8],
n=[64, 64, 3])
# note: can't make a 2d plot of the volume w/o a slice
run_test(logo, seeds, plot2d=False, plot3d=plot3d, add_title="3d",
show=args.show)
if 1:
viscid.logger.info('Testing Volume (with ignorable dim)...')
seeds = viscid.Volume([-0.8, -0.8, 0.0], [0.8, 0.8, 0.0],
n=[64, 64, 1])
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, add_title="2d",
show=args.show)
if 1:
viscid.logger.info('Testing Spherical Sphere (phi, theta)...')
seeds = viscid.Sphere([0, 0, 0], r=1.0, ntheta=160, nphi=170,
pole=[-1, -1, -1], theta_phi=False)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, add_title="PT",
show=args.show)
if 1:
viscid.logger.info('Testing Spherical Sphere (theta, phi)...')
seeds = viscid.Sphere([0, 0, 0], r=1.0, ntheta=160, nphi=170,
pole=[-1, -1, -1], theta_phi=True)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, add_title="TP",
show=args.show)
if 1:
viscid.logger.info('Testing Spherical Cap (phi, theta)...')
seeds = viscid.SphericalCap(p0=[0, 0, 0], r=1.0, ntheta=64, nphi=80,
pole=[-1, -1, -1], theta_phi=False)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, add_title="PT",
view_kwargs=dict(azimuth=180, elevation=180), show=args.show)
if 1:
viscid.logger.info('Testing Spherical Cap (theta, phi)...')
seeds = viscid.SphericalCap(p0=[0, 0, 0], r=1.0, ntheta=64, nphi=80,
pole=[-1, -1, -1], theta_phi=True)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, add_title="TP",
view_kwargs=dict(azimuth=180, elevation=180), show=args.show)
if 1:
viscid.logger.info('Testing Spherical Patch...')
seeds = viscid.SphericalPatch(p0=[0, 0, 0], p1=[0, -0, -1],
max_alpha=30.0, max_beta=59.9,
nalpha=65, nbeta=80, r=0.5, roll=45.0)
run_test(logo, seeds, plot2d=plot2d, plot3d=plot3d, show=args.show)
if 1:
viscid.logger.info('Testing RectilinearMeshPoints...')
f = viscid.load_file(sample_dir + '/sample_xdmf.3d.[-1].xdmf')
slc = 'x=-40f:12f, y=-10f:10f, z=-10f:10f'
b = f['b'][slc]
z = b.get_crd('z')
sheet_iz = np.argmin(b['x']**2, axis=2)
sheet_pts = b['z=0:1'].get_points()
sheet_pts[2, :] = z[sheet_iz].reshape(-1)
isphere_mask = np.sum(sheet_pts[:2, :]**2, axis=0) < 5**2
day_mask = sheet_pts[0:1, :] > -1.0
sheet_pts[2, :] = np.choose(isphere_mask, [sheet_pts[2, :], 0])
sheet_pts[2, :] = np.choose(day_mask, [sheet_pts[2, :], 0])
nx, ny, _ = b.sshape
sheet_seed = viscid.RectilinearMeshPoints(sheet_pts.reshape(3, nx, ny))
vx_sheet = viscid.interp_nearest(f['vx'], sheet_seed)
try:
if not plot2d:
raise ImportError
from viscid.plot import mpl
mpl.clf()
mpl.plot(vx_sheet, symmetric=True)
mpl.plt.savefig(next_plot_fname(__file__, series='2d'))
if args.show:
mpl.show()
except ImportError:
pass
try:
if not plot3d:
raise ImportError
from viscid.plot import mvi
mvi.clf()
mesh = mvi.mesh_from_seeds(sheet_seed, scalars=vx_sheet,
clim=(-400, 400))
mvi.plot_earth_3d(crd_system=b)
mvi.view(azimuth=+90.0 + 45.0, elevation=90.0 - 25.0,
distance=30.0, focalpoint=(-10.0, +1.0, +1.0))
mvi.title("RectilinearMeshPoints")
mvi.savefig(next_plot_fname(__file__, series='3d'))
if args.show:
mvi.show()
except ImportError:
pass
return 0
def main():
mhd_type = "C"
make_plots = 1
mhd_type = mhd_type.upper()
if mhd_type.startswith("C"):
if mhd_type in ("C",):
f = viscid.load_file("$WORK/tmedium/*.3d.[-1].xdmf")
elif mhd_type in ("C2", "C3"):
f = viscid.load_file("$WORK/tmedium2/*.3d.[-1].xdmf")
else:
raise ValueError()
catol = 1e-8
rtol = 2e-6
elif mhd_type in ("F", "FORTRAN"):
f = viscid.load_file("$WORK/tmedium3/*.3df.[-1]")
catol = 1e-8
rtol = 7e-2
else:
raise ValueError()
do_fill_dipole = True
gslc = "x=-21.2f:12f, y=-11f:11f, z=-11f:11f"
b = f['b_cc'][gslc]
b1 = f['b_fc'][gslc]
e_cc = f['e_cc'][gslc]
e_ec = f['e_ec'][gslc]
if do_fill_dipole:
mask = viscid.make_spherical_mask(b, rmax=3.5)
viscid.fill_dipole(b, mask=mask)
mask = viscid.make_spherical_mask(b1, rmax=3.5)
viscid.fill_dipole(b1, mask=mask)
mask = None
# seeds = viscid.SphericalCap(r=1.02, ntheta=64, nphi=32, angle0=17, angle=20,
# philim=(100, 260), roll=-180.0)
# seeds = viscid.SphericalCap(r=1.02, ntheta=64, nphi=32, angle0=17, angle=20,
# philim=(0, 10), roll=0.0)
seedsN = viscid.Sphere(r=1.02, ntheta=16, nphi=16, thetalim=(15, 25),
philim=(0, 300), crd_system=b)
seedsS = viscid.Sphere(r=1.02, ntheta=16, nphi=16, thetalim=(155, 165),
philim=(0, 300), crd_system=b)
bl_kwargs = dict(ibound=0.9, obound0=(-20, -10, -10), obound1=(11, 10, 10))
# blines_cc, topo_cc = viscid.streamlines(b, seeds, **bl_kwargs)
blinesN_fc, topoN_fc = viscid.streamlines(b1, seedsN, **bl_kwargs)
_, topoS_fc = viscid.streamlines(b1, seedsS, output=viscid.OUTPUT_TOPOLOGY,
**bl_kwargs)
if True:
from viscid.plot import mvi
mesh = mvi.mesh_from_seeds(seedsN, scalars=topoN_fc)
mesh.actor.property.backface_culling = True
# mvi.plot_lines(blines_cc, scalars="#000000", tube_radius=0.03)
mvi.plot_lines(blinesN_fc, scalars=viscid.topology2color(topoN_fc),
opacity=0.7)
mvi.plot_blue_marble(r=1.0)
mvi.plot_earth_3d(radius=1.01, crd_system=b, night_only=True,
opacity=0.5)
mvi.show()
if True:
mpl.subplot(121, projection='polar')
mpl.plot(topoN_fc)
mpl.subplot(122, projection='polar')
mpl.plot(topoS_fc)
mpl.show()
return 0
def _get_sep_pts_bisect(
fld,
seed,
trace_opts=None,
min_depth=3,
max_depth=7,
plot=False,
perimeter_check=perimeter_check_bitwise_or,
make_3d=True,
start_uneven=False,
_base_quadrent="",
_uneven_mask=0,
_first_recurse=True,
):
if len(_base_quadrent) == max_depth:
return [_base_quadrent] # causes pylint to complain
if trace_opts is None:
trace_opts = dict()
nx, ny = seed.uv_shape
(xlim, ylim) = seed.uv_extent
if _first_recurse and start_uneven:
_uneven_mask = UNEVEN_MASK
if _first_recurse and plot:
from viscid.plot import mvi
from viscid.plot import mpl
mpl.clf()
_, all_topo = viscid.calc_streamlines(fld, seed, **trace_opts)
mpl.plot(np.bitwise_and(all_topo, 15), show=False)
verts, arr = seed.wrap_mesh(all_topo.data)
mvi.mesh(verts[0], verts[1], verts[2], scalars=arr, opacity=0.75)
# quadrents and lines are indexed as follows...
# directions are counter clackwise around the quadrent with
# lower index (which matters for lines which are shared among
# more than one quadrent, aka, lines 1,2,6,7). Notice that even
# numbered lines are horizontal, like the interstate system :)
# -<--10-----<-8---
# | ^ ^
# 11 2 9 3 7
# \/ | |
# --<-2-----<-6----
# | ^ ^
# 3 0 1 1 5
# \/ | |
# ----0->-----4->--
# find low(left), mid(center), and high(right) crds in x and y
low_quad = "{0}{1:x}".format(_base_quadrent, 0 | _uneven_mask)
high_quad = "{0}{1:x}".format(_base_quadrent, 3 | _uneven_mask)
xl, xm, yl, ym = _quadrent_limits(low_quad, xlim, ylim)
_, xh, _, yh = _quadrent_limits(high_quad, xlim, ylim)
segsx, segsy = [None] * 12, [None] * 12
topo = [None] * 12
nxm, nym = nx // 2, ny // 2
# make all the line segments
segsx[0], segsy[0] = np.linspace(xl, xm, nxm), np.linspace(yl, yl, nxm)
segsx[1], segsy[1] = np.linspace(xm, xm, nym), np.linspace(yl, ym, nym)
segsx[2], segsy[2] = np.linspace(xm, xl, nxm), np.linspace(ym, ym, nxm)
segsx[3], segsy[3] = np.linspace(xl, xl, nym), np.linspace(ym, yl, nym)
segsx[4], segsy[4] = np.linspace(xm, xh, nxm), np.linspace(yl, yl, nxm)
segsx[5], segsy[5] = np.linspace(xh, xh, nym), np.linspace(yl, ym, nym)
segsx[6], segsy[6] = np.linspace(xh, xm, nxm), np.linspace(ym, ym, nxm)
segsx[7], segsy[7] = np.linspace(xh, xh, nym), np.linspace(ym, yh, nym)
segsx[8], segsy[8] = np.linspace(xh, xm, nxm), np.linspace(yh, yh, nxm)
segsx[9], segsy[9] = np.linspace(xm, xm, nym), np.linspace(ym, yh, nym)
segsx[10], segsy[10] = np.linspace(xm, xl, nxm), np.linspace(yh, yh, nxm)
segsx[11], segsy[11] = np.linspace(xl, xl, nym), np.linspace(yh, ym, nym)
allx = np.concatenate(segsx)
ally = np.concatenate(segsy)
# print("plot::", _base_quadrent, '|', _uneven_mask, '|', len(allx), len(ally))
pts3d = seed.to_3d(seed.uv_to_local(np.array([allx, ally])))
_, all_topo = viscid.calc_streamlines(fld, pts3d, **trace_opts)
topo[0] = all_topo[: len(segsx[0])]
cnt = len(topo[0])
for i, segx in zip(count(1), segsx[1:]):
topo[i] = all_topo[cnt : cnt + len(segx)]
# print("??", i, cnt, cnt + len(segx), np.bitwise_and.reduce(topo[i]))
cnt += len(topo[i])
# assemble the lines into the four quadrents
quad_topo = [None] * 4
# all arrays snip off the last element since those are
# duplicated by the next line... reversed arrays do the
# snipping with -1:0:-1
quad_topo[0] = np.concatenate([topo[0][:-1], topo[1][:-1], topo[2][:-1], topo[3][:-1]])
quad_topo[1] = np.concatenate([topo[4][:-1], topo[5][:-1], topo[6][:-1], topo[1][-1:0:-1]])
quad_topo[2] = np.concatenate([topo[2][-1:0:-1], topo[9][:-1], topo[10][:-1], topo[11][:-1]])
quad_topo[3] = np.concatenate([topo[6][-1:0:-1], topo[7][:-1], topo[8][:-1], topo[9][-1:0:-1]])
# now that the quad arrays are populated, decide which quadrents
# still contain the separator (could be > 1)
required_uneven_subquads = False
ret = []
for i in range(4):
if perimeter_check(quad_topo[i]):
next_quad = "{0}{1:x}".format(_base_quadrent, i | _uneven_mask)
subquads = _get_sep_pts_bisect(
fld,
seed,
trace_opts=trace_opts,
min_depth=min_depth,
max_depth=max_depth,
plot=plot,
_base_quadrent=next_quad,
_uneven_mask=0,
_first_recurse=False,
)
ret += subquads
if len(ret) == 0:
perimeter = np.concatenate(
[
topo[0][::-1],
topo[4][::-1],
topo[5][::-1],
topo[7][::-1],
topo[8][::-1],
topo[10][::-1],
topo[11][::-1],
topo[3][::-1],
]
)
if _uneven_mask:
if len(_base_quadrent) > min_depth:
print("sep trace issue, but min depth reached: {0} > {1}" "".format(len(_base_quadrent), min_depth))
ret = [_base_quadrent]
else:
print("sep trace issue, the separator ended prematurely")
elif perimeter_check(perimeter):
ret = _get_sep_pts_bisect(
fld,
seed,
trace_opts=trace_opts,
min_depth=min_depth,
max_depth=max_depth,
plot=plot,
_base_quadrent=_base_quadrent,
_uneven_mask=UNEVEN_MASK,
_first_recurse=False,
)
required_uneven_subquads = True
if plot and not required_uneven_subquads:
from viscid.plot import mvi
from viscid.plot import mpl
_pts3d = seed.to_3d(seed.uv_to_local(np.array([allx, ally])))
mvi.points3d(_pts3d[0], _pts3d[1], _pts3d[2], all_topo.data.reshape(-1), scale_mode="none", scale_factor=0.02)
mpl.plt.scatter(
allx, ally, color=np.bitwise_and(all_topo, 15), vmin=0, vmax=15, marker="o", edgecolor="y", s=40
)
if _first_recurse:
# turn quadrent strings into locations
xc = np.empty(len(ret))
yc = np.empty(len(ret))
for i, r in enumerate(ret):
xc[i], yc[i] = _quadrent_center(r, xlim, ylim)
pts_uv = np.array([xc, yc])
if plot:
from viscid.plot import mvi
from viscid.plot import mpl
mpl.plt.plot(pts_uv[0], pts_uv[1], "y*", ms=20, markeredgecolor="k", markeredgewidth=1.0)
mpl.show(block=False)
mvi.show(stop=True)
# return seed.to_3d(seed.uv_to_local(pts_uv))
# if pts_uv.size == 0:
# return None
if make_3d:
return seed.uv_to_3d(pts_uv)
else:
return pts_uv
else:
return ret
