def run_test_iof(f, main__file__, show=False):
mpl.clf()
fac_tot = 1e9 * f["fac_tot"]
plot_args = dict(projection="polar",
lin=[-300, 300],
bounding_lat=35.0,
drawcoastlines=True, # for basemap only
title="Total FAC\n",
gridec='gray',
label_lat=True,
label_mlt=True,
colorbar=dict(pad=0.1) # pad the colorbar away from the plot
)
ax1 = mpl.subplot(121, projection='polar')
mpl.plot(fac_tot, ax=ax1, hemisphere='north', **plot_args)
ax1.annotate('(a)', xy=(0, 0), textcoords="axes fraction",
xytext=(-0.1, 1.0), fontsize=18)
ax2 = mpl.subplot(122, projection='polar')
plot_args['gridec'] = False
mpl.plot(fac_tot, ax=ax2, hemisphere="south", style="contourf",
levels=50, extend="both", **plot_args)
ax2.annotate('(b)', xy=(0, 0), textcoords="axes fraction",
xytext=(-0.1, 1.0), fontsize=18)
mpl.auto_adjust_subplots(subplot_params=dict())
mpl.plt.gcf().set_size_inches(8, 4)
mpl.plt.savefig(next_plot_fname(main__file__))
if show:
mpl.mplshow()
def _main():
x = np.linspace(-1, 1, 128)
y = z = np.linspace(-0.25, 0.25, 8)
B = viscid.zeros((x, y, z), nr_comps=3, layout='interlaced', name="B")
X, Y, Z = B.get_crds("xyz", shaped=True) # pylint: disable=unused-variable
xl, yl, zl = B.xl # pylint: disable=unused-variable
xh, yh, zh = B.xh # pylint: disable=unused-variable
xm, ym, zm = 0.5 * (B.xl + B.xh) # pylint: disable=unused-variable
B['x'] = 0.0 # np.sin(1.0 * np.pi * X / (xh - xl) + 0.5 * np.pi)
B['y'] = np.sin(1.0 * np.pi * X / (xh - xl) + 0.5 * np.pi)
B['z'] = np.sin(1.0 * np.pi * X / (xh - xl) - 1.0 * np.pi)
B += 0.33 * np.random.random_sample(B.shape)
# R = viscid.make_rotation_matrix((0, 0, 0), (1, 0, 0), (1, 0, 1))
# B[...] = np.einsum("ij,lmnj->lmni", R, B)
lmn = find_minvar_lmn(B, (xl, ym, zm), (xh, ym, zm), l_basis=None)
# lmn = find_minvar_lmn(B, (xl, ym, zm), (xh, ym, zm), l_basis=(0, 0, 1))
print("LMN matrix:\n", lmn, sep='')
##########
from viscid.plot import mpl
p0 = np.array((xm, ym, zm)).reshape((3,))
pl = p0 + 0.25 * lmn[:, 0]
pm = p0 + 0.25 * lmn[:, 1]
pn = p0 + 0.25 * lmn[:, 2]
print("p0", p0)
print("pl", pl)
print("pm", pm)
print("pn", pn)
mpl.subplot(211)
mpl.plot2d_quiver(B['z=0f'])
mpl.plt.plot([p0[0], pl[0]], [p0[1], pl[1]], color='r', ls='-')
mpl.plt.plot([p0[0], pm[0]], [p0[1], pm[1]], color='c', ls='-')
mpl.plt.plot([p0[0], pn[0]], [p0[1], pn[1]], color='b', ls='-')
mpl.plt.ylabel("Y")
mpl.subplot(212)
mpl.plot2d_quiver(B['y=0f'])
mpl.plt.plot([p0[0], pl[0]], [p0[2], pl[2]], color='r', ls='-')
mpl.plt.plot([p0[0], pm[0]], [p0[2], pm[2]], color='c', ls='-')
mpl.plt.plot([p0[0], pn[0]], [p0[2], pn[2]], color='b', ls='-')
mpl.plt.xlabel("X")
mpl.plt.ylabel("Z")
mpl.show()
##########
return 0
def main():
f = viscid.load_file("~/dev/work/tmedium/*.3d.[-1].xdmf")
grid = f.get_grid()
gslc = "x=-26f:12.5f, y=-15f:15f, z=-15f:15f"
# gslc = "x=-12.5f:26f, y=-15f:15f, z=-15f:15f"
b_cc = f['b_cc'][gslc]
b_cc.name = "b_cc"
b_fc = f['b_fc'][gslc]
b_fc.name = "b_fc"
e_cc = f['e_cc'][gslc]
e_cc.name = "e_cc"
e_ec = f['e_ec'][gslc]
e_ec.name = "e_ec"
pp = f['pp'][gslc]
pp.name = 'pp'
pargs = dict(logscale=True, earth=True)
# mpl.clf()
# ax1 = mpl.subplot(211)
# mpl.plot(f['pp']['y=0f'], **pargs)
# # mpl.plot(viscid.magnitude(f['b_cc']['y=0f']), **pargs)
# # mpl.show()
# mpl.subplot(212, sharex=ax1, sharey=ax1)
# mpl.plot(viscid.magnitude(viscid.fc2cc(f['b_fc'])['y=0f']), **pargs)
# mpl.show()
basename = './tmediumR.3d.{0:06d}'.format(int(grid.time))
viscid.save_fields(basename + '.h5', [b_cc, b_fc, e_cc, e_ec, pp])
f2 = viscid.load_file(basename + ".xdmf")
pargs = dict(logscale=True, earth=True)
mpl.clf()
ax1 = mpl.subplot(211)
mpl.plot(f2['pp']['y=0f'], style='contour', levels=5, colorbar=None,
colors='k', **pargs)
mpl.plot(viscid.magnitude(f2['b_cc']['y=0f']), **pargs)
mpl.subplot(212, sharex=ax1, sharey=ax1)
mpl.plot(viscid.magnitude(viscid.fc2cc(f2['b_fc'])['y=0f']), **pargs)
mpl.show()
os.remove(basename + '.h5')
os.remove(basename + '.xdmf')
return 0
def run_test_2d(f, main__file__, show=False):
mpl.clf()
slc = "x=-20f:12f, y=0f"
plot_kwargs = dict(title=True, earth=True)
mpl.subplot(141)
mpl.plot(f['pp'], slc, logscale=True, **plot_kwargs)
mpl.plot(np.abs(f['psi']), style='contour', logscale=True, levels=30,
linewidths=0.8, colors='grey', linestyles='solid', cbar=None,
x=(-20, 12))
mpl.subplot(142)
mpl.plot(viscid.magnitude(f['bcc']), slc, logscale=True, **plot_kwargs)
mpl.plot2d_quiver(f['v'][slc], step=5, color='y', pivot='mid', width=0.03,
scale=600)
mpl.subplot(143)
mpl.plot(f['jy'], slc, clim=[-0.005, 0.005], **plot_kwargs)
mpl.streamplot(f['v'][slc], linewidth=0.3)
mpl.subplot(144)
mpl.plot(f['jy'], "x=7f:12f, y=0f, z=0f")
mpl.plt.suptitle("2D File")
mpl.auto_adjust_subplots(subplot_params=dict(top=0.9, wspace=1.3))
mpl.plt.gcf().set_size_inches(10, 4)
mpl.savefig(next_plot_fname(main__file__))
if show:
mpl.show()
def main():
parser = argparse.ArgumentParser(description="Test divergence")
parser.add_argument("--show", "--plot", action="store_true")
args = viscid.vutil.common_argparse(parser)
# args.show = True
t = viscid.linspace_datetime64("2006-06-10 12:30:00.0", "2006-06-10 12:33:00.0", 16)
tL = viscid.as_datetime64("2006-06-10 12:31:00.0")
tR = viscid.as_datetime64("2006-06-10 12:32:00.0")
y = np.linspace(2 * np.pi, 4 * np.pi, 12)
### plots with a datetime64 axis
f0 = viscid.ones([t, y], crd_names="ty", center="node")
T, Y = f0.get_crds(shaped=True)
f0.data += np.arange(T.size).reshape(T.shape)
f0.data += np.cos(Y)
fig = mpl.plt.figure(figsize=(10, 5))
# 1D plot
mpl.subplot(121)
mpl.plot(f0[tL:tR]["y=0"], marker="^")
mpl.plt.xlim(*viscid.as_datetime(t[[0, -1]]).tolist())
# 2D plot
mpl.subplot(122)
mpl.plot(f0, x=(t[0], t[-1]))
mpl.plt.suptitle("datetime64")
mpl.auto_adjust_subplots(subplot_params=dict(top=0.9))
mpl.plt.savefig(next_plot_fname(__file__))
if args.show:
mpl.show()
mpl.plt.close(fig)
### plots with a timedelta64 axis
tL = tL - t[0]
tR = tR - t[0]
t = t - t[0]
f0 = viscid.ones([t, y], crd_names="ty", center="node")
T, Y = f0.get_crds(shaped=True)
f0.data += np.arange(T.size).reshape(T.shape)
f0.data += np.cos(Y)
fig = mpl.plt.figure(figsize=(10, 5))
# 1D plot
mpl.subplot(121)
mpl.plot(f0[tL:tR]["y=0"], marker="^")
mpl.plt.xlim(*viscid.as_datetime(t[[0, -1]]).tolist())
# 2D plot
mpl.subplot(122)
mpl.plot(f0, x=(t[0], t[-1]), y=(y[0], y[-1]))
mpl.plt.suptitle("timedelta64")
mpl.auto_adjust_subplots(subplot_params=dict(top=0.9))
mpl.plt.savefig(next_plot_fname(__file__))
if args.show:
mpl.show()
mpl.plt.close(fig)
return 0
def run_test_3d(f, main__file__, show=False):
mpl.clf()
slc = "x=-20f:12f, y=0f"
plot_kwargs = dict(title=True, earth=True)
mpl.subplot(141)
mpl.plot(f['pp'], slc, logscale=True, **plot_kwargs)
mpl.subplot(142)
mpl.plot(viscid.magnitude(f['bcc']), slc, logscale=True, **plot_kwargs)
mpl.plot2d_quiver(f['v'][slc], step=5, color='y', pivot='mid', width=0.03,
scale=600)
mpl.subplot(143)
mpl.plot(f['jy'], slc, clim=(-0.005, 0.005), **plot_kwargs)
mpl.streamplot(f['v'][slc], linewidth=0.3)
mpl.subplot(144)
mpl.plot(f['jy'], "x=7f:12f, y=0f, z=0f")
mpl.plt.suptitle("3D File")
mpl.auto_adjust_subplots(subplot_params=dict(top=0.9, wspace=1.3))
mpl.plt.gcf().set_size_inches(10, 4)
mpl.savefig(next_plot_fname(main__file__))
if show:
mpl.show()
def main():
mhd_type = "C3"
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()
b = f['b_cc']
b1 = f['b_fc']
e_cc = f['e_cc']
e_ec = f['e_ec']
# divb = f['divB']
# viscid.interact()
if True:
bD = viscid.empty_like(b)
bD.data = np.array(b.data)
b1D = viscid.empty_like(b1)
b1D.data = np.array(b1.data)
mask5 = viscid.make_spherical_mask(bD, rmax=3.5)
mask1_5 = viscid.make_spherical_mask(bD, rmax=1.5)
viscid.fill_dipole(bD, mask=mask5)
viscid.set_in_region(bD, bD, 0.0, 0.0, mask=mask1_5, out=bD)
# compare_vectors(_b, bD, make_plots=True)
mask5 = viscid.make_spherical_mask(b1D, rmax=3.5)
mask1_5 = viscid.make_spherical_mask(b1D, rmax=1.5)
viscid.fill_dipole(b1D, mask=mask5)
viscid.set_in_region(b1D, b1D, 0.0, 0.0, mask=mask1_5, out=b1D)
compare_vectors(bD["x=1:-1, y=1:-1, z=1:-1"], b1D.as_cell_centered(),
make_plots=True)
# mpl.plt.clf()
# dkwargs = dict(symmetric=True, earth=True, clim=(-1e2, 1e2))
# ax1 = mpl.plt.subplot(311)
# mpl.plot(viscid.div(b1)['y=0f'], **dkwargs)
# mpl.plt.subplot(312, sharex=ax1, sharey=ax1)
# mpl.plot(viscid.div(b)['y=0f'], **dkwargs)
# mpl.plt.subplot(313, sharex=ax1, sharey=ax1)
# mpl.plot(viscid.div(b1D)['y=0f'], **dkwargs)
# mpl.show()
bD = b1D = mask5 = mask1_5 = None
# straight up interpolate b1 to cc crds and compare with b
if True:
b1_cc = viscid.interp_trilin(b1, b).as_flat()
viscid.set_in_region(b, b, alpha=0.0, beta=0.0, out=b,
mask=viscid.make_spherical_mask(b, rmax=5.0))
viscid.set_in_region(b1_cc, b1_cc, alpha=0.0, beta=0.0, out=b1_cc,
mask=viscid.make_spherical_mask(b1_cc, rmax=5.0))
compare_vectors(b, b1_cc, make_plots=True)
# make div?
if True:
# make seeds for 1.5x supersampling b1
n = 128
seeds = viscid.Volume((5.1, -0.02, -5.0), (12.0, 0.02, 5.0), (n, 3, n))
# do interpolation onto new seeds
b2 = viscid.interp_trilin(b1, seeds)
div_b = viscid.div(b)
div_b1 = viscid.div(b1)
div_b2 = viscid.div(b2)
viscid.set_in_region(div_b, div_b, alpha=0.0, beta=0.0, out=div_b,
mask=viscid.make_spherical_mask(div_b, rmax=5.0))
viscid.set_in_region(div_b1, div_b1, alpha=0.0, beta=0.0, out=div_b1,
mask=viscid.make_spherical_mask(div_b1, rmax=5.0))
viscid.set_in_region(div_b2, div_b2, alpha=0.0, beta=0.0, out=div_b2,
mask=viscid.make_spherical_mask(div_b2, rmax=5.0))
viscid.set_in_region(divb, divb, alpha=0.0, beta=0.0, out=divb,
mask=viscid.make_spherical_mask(divb, rmax=5.0))
mpl.plt.clf()
ax1 = mpl.subplot(311)
mpl.plot(div_b['y=0f'], symmetric=True, earth=True)
mpl.subplot(312, sharex=ax1, sharey=ax1)
# mpl.plot(div_b1['y=0f'], symmetric=True, earth=True)
mpl.plot(div_b2['y=0f'], symmetric=True, earth=True)
mpl.subplot(313, sharex=ax1, sharey=ax1)
mpl.plot(divb['y=0f'], symmetric=True, earth=True)
mpl.show()
return 0
def main():
parser = argparse.ArgumentParser(description="Test grad")
parser.add_argument("--prof", action="store_true")
parser.add_argument("--show", "--plot", action="store_true")
args = vutil.common_argparse(parser)
b = viscid.make_dipole(l=(-5, -5, -5), h=(5, 5, 5), n=(256, 256, 128),
m=(0, 0, -1))
b2 = np.sum(b * b, axis=b.nr_comp)
if args.prof:
print("Without boundaries")
viscid.timeit(viscid.grad, b2, bnd=False, timeit_repeat=10,
timeit_print_stats=True)
print("With boundaries")
viscid.timeit(viscid.grad, b2, bnd=True, timeit_repeat=10,
timeit_print_stats=True)
grad_b2 = viscid.grad(b2)
grad_b2.pretty_name = r"$\nabla$ B$^2$"
conv = viscid.convective_deriv(b)
conv.pretty_name = r"(B $\cdot \nabla$) B"
_ = mpl.plt.figure(figsize=(9, 4.2))
ax1 = mpl.subplot(231)
mpl.plot(b2['z=0f'], logscale=True)
mpl.plot(b2['z=0f'], logscale=True, style='contour', levels=10, colors='grey')
# mpl.plot2d_quiver(viscid.normalize(b['z=0f']), step=16, pivot='mid')
ax2 = mpl.subplot(234)
mpl.plot(b2['y=0f'], logscale=True)
mpl.plot(b2['y=0f'], logscale=True, style='contour', levels=10, colors='grey')
mpl.plot2d_quiver(viscid.normalize(b['y=0f'], preferred='numpy'),
step=16, pivot='mid')
mpl.subplot(232, sharex=ax1, sharey=ax1)
mpl.plot(1e-4 + viscid.magnitude(grad_b2['z=0f']), logscale=True)
mpl.plot(1e-4 + viscid.magnitude(grad_b2['z=0f']), logscale=True,
style='contour', levels=10, colors='grey')
mpl.plot2d_quiver(viscid.normalize(grad_b2['z=0f']), step=16, pivot='mid')
mpl.subplot(235, sharex=ax2, sharey=ax2)
mpl.plot(1e-4 + viscid.magnitude(grad_b2['y=0f']), logscale=True)
mpl.plot(1e-4 + viscid.magnitude(grad_b2['y=0f']), logscale=True,
style='contour', levels=10, colors='grey')
mpl.plot2d_quiver(viscid.normalize(grad_b2['y=0f']), step=16, pivot='mid')
mpl.subplot(233, sharex=ax1, sharey=ax1)
mpl.plot(viscid.magnitude(conv['z=0f']), logscale=True)
mpl.plot(viscid.magnitude(conv['z=0f']), logscale=True,
style='contour', levels=10, colors='grey')
mpl.plot2d_quiver(viscid.normalize(conv['z=0f']), step=16, pivot='mid')
mpl.subplot(236, sharex=ax2, sharey=ax2)
mpl.plot(viscid.magnitude(conv['y=0f']), logscale=True)
mpl.plot(viscid.magnitude(conv['y=0f']), logscale=True,
style='contour', levels=10, colors='grey')
mpl.plot2d_quiver(viscid.normalize(conv['y=0f']), step=16, pivot='mid')
mpl.auto_adjust_subplots()
mpl.plt.savefig(next_plot_fname(__file__))
if args.show:
mpl.show()
def benchmark_streamline(precompile=True, profile=True, scale=True, plot=True):
which = "streamline"
print(which)
print('-' * len(which))
f0, seeds = make_vector_fld()
print("Timing", which)
sl_kwargs = dict(ibound=3.7, ds0=0.020)
lines, _ = viscid.streamlines(f0, seeds, **sl_kwargs)
nsegs_cython = np.sum([line.shape[1] for line in lines])
lines = None
ft_stats, cy_stats = dict(), dict()
bench_output_type = viscid.OUTPUT_TOPOLOGY
sl_kwargs.update(output=bench_output_type)
retFT = viscid.timeit(fort_topology,
f0,
seeds,
timeit_repeat=6,
timeit_stats=ft_stats)
_, retCY = viscid.timeit(viscid.streamlines,
f0,
seeds,
timeit_repeat=6,
timeit_stats=cy_stats,
**sl_kwargs)
fort_per_seg = ft_stats['min'] / retFT.get_info('nsegs')
cy_per_seg = cy_stats['min'] / nsegs_cython
print("Segs Fortran", retFT.get_info('nsegs'))
print("Segs Cython ", nsegs_cython)
print("Fortran took {0:.3g} sec/seg".format(fort_per_seg))
print("Cython took {0:.3g} sec/seg".format(cy_per_seg))
print_seedup("Cython", cy_per_seg, "Fortran", fort_per_seg, prefix="@ ")
if plot:
from viscid.plot import mpl
mpl.clf()
mpl.subplot(121, projection='polar')
mpl.plot(retCY, hemisphere='north')
mpl.subplot(122, projection='polar')
mpl.plot(retCY, hemisphere='south')
mpl.show()
if scale:
thetas = np.logspace(np.log10(3), np.log10(144), 8).astype('i')
cy_nsegs = [None] * len(thetas)
fort_nsegs = [None] * len(thetas)
cy_mintime = [None] * len(thetas)
fort_mintime = [None] * len(thetas)
for i, ntheta in enumerate(thetas):
seeds = viscid.Sphere(r=10.0, ntheta=ntheta, nphi=32)
_stats = dict()
topo = viscid.timeit(fort_topology,
f0,
seeds,
timeit_repeat=5,
timeit_stats=_stats,
timeit_quiet=True)
fort_nsegs[i] = topo.get_info('nsegs')
fort_mintime[i] = _stats['min']
_, topo = viscid.timeit(viscid.calc_streamlines,
f0,
seeds,
ibound=3.7,
ds0=0.020,
output=bench_output_type,
timeit_repeat=5,
timeit_stats=_stats,
timeit_quiet=True)
lines, _ = viscid.streamlines(f0, seeds, ibound=3.7, ds0=0.020)
cy_nsegs[i] = np.sum([line.shape[1] for line in lines])
cy_mintime[i] = _stats['min']
from viscid.plot import mpl
mpl.clf()
mpl.plt.plot(cy_nsegs, cy_mintime, label="Cython")
mpl.plt.plot(fort_nsegs, fort_mintime, label="Fortran")
mpl.plt.legend(loc=0)
mpl.plt.xlabel('Number of segments calculated')
mpl.plt.ylabel('time to calculate')
mpl.show()
mpl.clf()
cy_tperseg = np.array(cy_mintime) / np.array(cy_nsegs)
fort_tperseg = np.array(fort_mintime) / np.array(fort_nsegs)
mpl.plt.plot(thetas, cy_tperseg / fort_tperseg, label="over cython")
mpl.plt.xlabel('ntheta')
mpl.plt.ylabel('Fortran Speedup')
mpl.show()
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 topology_bitor_clusters(
fld,
min_depth=1,
max_depth=10,
multiple=True,
plot=False,
sep_val=streamline.TOPOLOGY_MS_SEPARATOR,
mask_limit=0b1111,
periodic="00",
pt_bnds=(),
):
"""Find separator as intersection of all global topologies
Neighbors are bitwise ORed until at least one value matches
`sep_val` which is presumably (Close | Open N | Open S | SW).
This happens between min_depth and max_depth times,
where the resolution of each iteration is reduced by a factor
of two, ie, worst case 2**(max_depth).
Args:
fld (Field): Topology (bitmask) as a field
min_depth (int): Iterate at least this many times
max_depth (int): Iterate at most this many times
multiple (bool): passed to :py:func:`viscid.cluster`
sep_val (int): Value of bitmask that indicates a separator
plot (bool): Make a 2D plot of Fld and the sep candidates
mask_limit (int): if > 0, then bitmask fld with mask_limit,
i.e., fld = fld & mask_limit (bitwise and)
periodic (sequence): indicate whether that direction is
periodic, and if so, whether the coordinate arrays are
overlapped or not. Values can be True, False, or '+'. '+'
indicates that x[0] and x[-1] are not colocated, so assume
they're dx apart where dx = x[-1] - x[-2].
pt_bnd (sequence): Boundaries that come to a point, i.e., all
values along that boundary are neighbors such as the poles
of a sphere. Specified like "0-" for lower boundary of
dimension 0 or "1+" for the upper boundary of dimension 1.
Returns:
ndarray: 2xN for N clusters of separator points in the same
coordinates as `fld`
"""
pd = [False if pi == "0" else bool(pi) for pi in periodic]
fld = fld.slice_reduce(":")
if mask_limit:
fld = np.bitwise_and(fld, mask_limit)
a = fld.data
x, y = fld.get_crds()
for i in range(max_depth):
if pd[0]:
a[(0, -1), :] |= a[(-1, 0), :]
if pd[1]:
a[:, (0, -1)] |= a[:, (-1, 0)]
a = (
a[:-1, :-1] | a[:-1, 1:] | a[1:, :-1] | a[1:, 1:] # pylint: disable=bad-whitespace
) # pylint: disable=bad-whitespace
x = 0.5 * (x[1:] + x[:-1])
y = 0.5 * (y[1:] + y[:-1])
# bitwise_or an entire bounary if all points are neighbors, like
# at the poles of a sphere
for bnd in pt_bnds:
slc = [slice(None), slice(None)]
slc[int(bnd[0])] = -1 if bnd[1] == "+" else 0
a[slc] = np.bitwise_or.reduce(a[slc])
indx, indy = np.where(a == sep_val)
if i + 1 >= min_depth and len(indx):
break
pts = viscid.cluster(indx, indy, x, y, multiple=multiple, periodic=periodic)
if plot:
from viscid.plot import mpl
mpl.clf()
ax0 = mpl.subplot(121)
mpl.plot(fld, title=True)
mpl.subplot(122, sharex=ax0, sharey=ax0)
or_fld = viscid.arrays2field(a, (x, y), name="OR")
mpl.plot(or_fld, title=True)
_x, _y = or_fld.get_crds()
mpl.plt.plot(_x[indx], _y[indy], "ko")
mpl.plt.plot(pts[0], pts[1], "y^")
mpl.plt.show()
return pts
def benchmark_streamline(precompile=True, profile=True, scale=True, plot=True):
which = "streamline"
print(which)
print('-' * len(which))
f0, seeds = make_vector_fld()
print("Timing", which)
sl_kwargs = dict(ibound=3.7, ds0=0.020)
lines, _ = viscid.streamlines(f0, seeds, **sl_kwargs)
nsegs_cython = np.sum([line.shape[1] for line in lines])
lines = None
ft_stats, cy_stats = dict(), dict()
bench_output_type = viscid.OUTPUT_TOPOLOGY
sl_kwargs.update(output=bench_output_type)
retFT = viscid.timeit(fort_topology, f0, seeds, timeit_repeat=6,
timeit_stats=ft_stats)
_, retCY = viscid.timeit(viscid.streamlines, f0, seeds, timeit_repeat=6,
timeit_stats=cy_stats, **sl_kwargs)
fort_per_seg = ft_stats['min'] / retFT.get_info('nsegs')
cy_per_seg = cy_stats['min'] / nsegs_cython
print("Segs Fortran", retFT.get_info('nsegs'))
print("Segs Cython ", nsegs_cython)
print("Fortran took {0:.3g} sec/seg".format(fort_per_seg))
print("Cython took {0:.3g} sec/seg".format(cy_per_seg))
print_seedup("Cython", cy_per_seg, "Fortran", fort_per_seg, prefix="@ ")
if plot:
from viscid.plot import mpl
mpl.clf()
mpl.subplot(121, projection='polar')
mpl.plot(retCY, hemisphere='north')
mpl.subplot(122, projection='polar')
mpl.plot(retCY, hemisphere='south')
mpl.show()
if scale:
thetas = np.logspace(np.log10(3), np.log10(144), 8).astype('i')
cy_nsegs = [None] * len(thetas)
fort_nsegs = [None] * len(thetas)
cy_mintime = [None] * len(thetas)
fort_mintime = [None] * len(thetas)
for i, ntheta in enumerate(thetas):
seeds = viscid.Sphere(r=10.0, ntheta=ntheta, nphi=32)
_stats = dict()
topo = viscid.timeit(fort_topology, f0, seeds, timeit_repeat=5,
timeit_stats=_stats, timeit_quiet=True)
fort_nsegs[i] = topo.get_info('nsegs')
fort_mintime[i] = _stats['min']
_, topo = viscid.timeit(viscid.calc_streamlines, f0, seeds,
ibound=3.7, ds0=0.020, output=bench_output_type,
timeit_repeat=5, timeit_stats=_stats,
timeit_quiet=True)
lines, _ = viscid.streamlines(f0, seeds, ibound=3.7, ds0=0.020)
cy_nsegs[i] = np.sum([line.shape[1] for line in lines])
cy_mintime[i] = _stats['min']
from viscid.plot import mpl
mpl.clf()
mpl.plt.plot(cy_nsegs, cy_mintime, label="Cython")
mpl.plt.plot(fort_nsegs, fort_mintime, label="Fortran")
mpl.plt.legend(loc=0)
mpl.plt.xlabel('Number of segments calculated')
mpl.plt.ylabel('time to calculate')
mpl.show()
mpl.clf()
cy_tperseg = np.array(cy_mintime) / np.array(cy_nsegs)
fort_tperseg = np.array(fort_mintime) / np.array(fort_nsegs)
mpl.plt.plot(thetas, cy_tperseg / fort_tperseg, label="over cython")
mpl.plt.xlabel('ntheta')
mpl.plt.ylabel('Fortran Speedup')
mpl.show()