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 _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 _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
def trace_separator(
grid, b_slcstr="x=-25f:15f, y=-30f:30f, z=-15f:15f", r=1.0, plot=False, trace_opts=None, cache=True, cache_dir=None
):
"""Trace a separator line from most dawnward null
**Still in testing** Uses the bisection algorithm.
Args:
grid (Grid): A grid that has a "b" field
b_slcstr (str): Some valid slice for B field
r (float): spatial step of separator line
plot (bool): make debugging plots
trace_opts (dict): passed to streamline function
cache (bool, str): Save to and load from cache, if "force",
then don't load from cache if it exists, but do save a
cache at the end
cache_dir (str): Directory for cache, if None, same directory
as that file to which the grid belongs
Raises:
IOError: Description
Returns:
tuple: (separator_lines, nulls)
- **separator_lines** (list): list of M 3xN ndarrays that
represent M separator lines with N points
- **nulls** (ndarray): 3xN array of N null points
"""
if not cache_dir:
cache_dir = grid.find_info("_viscid_dirname", "./")
run_name = grid.find_info("run")
sep_fname = "{0}/{1}.sep.{2:06.0f}".format(cache_dir, run_name, grid.time)
try:
if isinstance(cache, string_types) and cache.strip().lower() == "force":
raise IOError()
with np.load(sep_fname + ".npz") as dat:
sep_iter = (f for f in dat.files if f.startswith("arr_"))
_it = sorted(sep_iter, key=lambda s: int(s[len("arr_") :]))
seps = [dat[n] for n in _it]
nulls = dat["nulls"]
except IOError:
_b = grid["b"][b_slcstr]
_, nulls = viscid.find_nulls(_b["x=-30f:15f"], ibound=5.0)
# get most dawnward null, nulls2 is all nulls except p0
nullind = np.argmin(nulls[1, :])
p0 = nulls[:, nullind]
nulls2 = np.concatenate([nulls[:, :nullind], nulls[:, (nullind + 1) :]], axis=1)
if plot:
from viscid.plot import mvi
mvi.plot_earth_3d(crd_system="gse")
mvi.points3d(nulls2[0], nulls2[1], nulls2[2], color=(0, 0, 0), scale_factor=1.0)
mvi.points3d(nulls[0, nullind], nulls[1, nullind], nulls[2, nullind], color=(1, 1, 1), scale_factor=1.0)
seed = viscid.Sphere(p0=p0, r=r, ntheta=30, nphi=60, theta_endpoint=True, phi_endpoint=True)
p1 = viscid.get_sep_pts_bisect(_b, seed, max_depth=12, plot=plot, trace_opts=trace_opts)
# print("p1 shape", p1.shape)
# if p1.shape[1] > 2:
# raise RuntimeError("Invalid B field, should be no branch @ null")
seps = []
sep_stubs = []
for i in range(p1.shape[1]):
sep_stubs.append([p0, p1[:, i]])
# print("??", sep_stubs)
while sep_stubs:
sep = sep_stubs.pop(0)
# print("!!! new stub")
for i in count():
# print("::", i)
seed = viscid.SphericalPatch(p0=sep[-1], p1=sep[-1] - sep[-2], r=r, nalpha=240, nbeta=240)
pn = viscid.get_sep_pts_bisect(_b, seed, max_depth=8, plot=plot, trace_opts=trace_opts)
if pn.shape[1] == 0:
# print("END: pn.shape[1] == 0")
break
# print("++", nulls2.shape, pn.shape)
closest_null_dist = np.min(np.linalg.norm(nulls2 - pn[:, :1], axis=0))
# print("closest_null_dist:", closest_null_dist)
if closest_null_dist < 1.01 * r:
# print("END: within 1.01 of a null")
break
# print("??", pn)
for j in range(1, pn.shape[1]):
# print("inserting new stub")
sep_stubs.insert(0, [sep[-1], pn[:, j]])
sep.append(pn[:, 0])
# print("sep", sep)
seps.append(np.stack(sep, axis=1))
if cache:
np.savez_compressed(sep_fname, *seps, nulls=nulls)
return seps, nulls