def arrow(self, obj, sense, *args, **kwargs):
assert obj.type is Lin, 'Only Lin instance could be plotted as quiver.'
bearing, plunge = obj.dd
xx, yy = mplstereonet.line(plunge, bearing)
xx1, yy1 = mplstereonet.line(plunge - 5, bearing)
for x, y, x1, y1 in zip(xx, yy, xx1, yy1):
self._ax.arrow(x, y, sense * (x1 - x), sense * (y1 - y))
self.draw()
def arrow(self, obj, sense, *args, **kwargs):
assert obj.type is Lin, "Only Lin instance could be plotted as quiver."
bearing, plunge = obj.dd
xx, yy = mplstereonet.line(plunge, bearing)
xx1, yy1 = mplstereonet.line(plunge - 5, bearing)
for x, y, x1, y1 in zip(xx, yy, xx1, yy1):
self._ax.arrow(x, y, sense * (x1 - x), sense * (y1 - y))
self.draw()
def rotate_data(self, raxis, raxis_angle, dipdir, dip):
"""
Rotates a measurment around a rotation axis a set number of degrees.
Expects a rotation-axis, a rotation-angle, a dip-direction and a
dip angle. The measurement is converted to latlot and then passed
to the mplstereonet rotate function.
"""
lonlat = mplstereonet.line(dip, dipdir)
#Rotation around x-axis until rotation-axis azimuth is east-west
rot1 = (90 - raxis[0])
lon1 = np.degrees(lonlat[0])
lat1 = np.degrees(lonlat[1])
lon_rot1, lat_rot1 = mplstereonet.stereonet_math._rotate(lon1,
lat1,
theta=rot1,
axis="x")
#Rotation around z-axis until rotation-axis dip is east-west
rot2 = -(90 - raxis[1])
lon2 = np.degrees(lon_rot1)
lat2 = np.degrees(lat_rot1)
lon_rot2, lat_rot2 = mplstereonet.stereonet_math._rotate(lon2,
lat2,
theta=rot2,
axis="z")
#Rotate around the x-axis for the specified rotation:
rot3 = raxis_angle
lon3 = np.degrees(lon_rot2)
lat3 = np.degrees(lat_rot2)
lon_rot3, lat_rot3 = mplstereonet.stereonet_math._rotate(lon3,
lat3,
theta=rot3,
axis="x")
#Undo the z-axis rotation
rot4 = -rot2
lon4 = np.degrees(lon_rot3)
lat4 = np.degrees(lat_rot3)
lon_rot4, lat_rot4 = mplstereonet.stereonet_math._rotate(lon4,
lat4,
theta=rot4,
axis="z")
#Undo the x-axis rotation
rot5 = -rot1
lon5 = np.degrees(lon_rot4)
lat5 = np.degrees(lat_rot4)
lon_rot5, lat_rot5 = mplstereonet.stereonet_math._rotate(lon5,
lat5,
theta=rot5,
axis="x")
dipdir5, dip5 = self.convert_lonlat_to_dipdir(lon_rot5, lat_rot5)
return dipdir5, dip5
def compare_plungebearing(self, plunge1, azi1, plunge2, azi2):
"""Avoids ambiguities in plunge/bearing convention when dip is 0 or 90."""
convert = lambda a, b: sph2cart(*mplstereonet.line(a, b))
x1, y1, z1 = convert(plunge1, azi1)
x2, y2, z2 = convert(plunge2, azi2)
rtol, atol = 1e-7, 1e-7
try:
assert np.allclose([x1, y1, z1], [x2, y2, z2], rtol, atol)
except AssertionError:
# Antipode is also acceptable in this case....
assert np.allclose([x1, y1, z1], [-x2, -y2, -z2], rtol, atol)
def compare_plungebearing(self, plunge1, azi1, plunge2, azi2):
"""Avoids ambiguities in plunge/bearing convention when dip is 0 or 90."""
convert = lambda a, b: sph2cart(*mplstereonet.line(a, b))
x1, y1, z1 = convert(plunge1, azi1)
x2, y2, z2 = convert(plunge2, azi2)
rtol, atol = 1e-7, 1e-7
try:
assert np.allclose([x1, y1, z1], [x2, y2, z2], rtol, atol)
except AssertionError:
# Antipode is also acceptable in this case....
assert np.allclose([x1, y1, z1], [-x2, -y2, -z2], rtol, atol)
def line_in_cone(cplunge, cbearing, cangle, lplunge, lbearing):
"""
Evaluates if line is within a small circle (cone), such that the acute
angle between the line, and the cone center line should be less than
the cone angle.
Parameters
----------
cplunge, cbearing, cangle: integer or float
plunge, bearing, and angle defining a cone
lplunge, lbearing: integer or float
plunge, bearing of a line
Returns
-------
ang_diff<cangle: boolean
True if line is within the cone
"""
ang_dist = np.degrees(
st.angular_distance(st.line(cplunge, cbearing),
st.line(lplunge, lbearing), False))
return ang_dist < cangle
def rotate_data(self, raxis, raxis_angle, dipdir, dip):
"""
Rotates a measurment around a rotation axis a set number of degrees.
Expects a rotation-axis, a rotation-angle, a dip-direction and a
dip angle. The measurement is converted to latlot and then passed
to the mplstereonet rotate function.
"""
lonlat = mplstereonet.line(dip, dipdir)
#Rotation around x-axis until rotation-axis azimuth is east-west
rot1 = (90 - raxis[0])
lon1 = np.degrees(lonlat[0])
lat1 = np.degrees(lonlat[1])
lon_rot1, lat_rot1 = mplstereonet.stereonet_math._rotate(lon1, lat1,
theta=rot1, axis="x")
#Rotation around z-axis until rotation-axis dip is east-west
rot2 = -(90 - raxis[1])
lon2 = np.degrees(lon_rot1)
lat2 = np.degrees(lat_rot1)
lon_rot2, lat_rot2 = mplstereonet.stereonet_math._rotate(lon2, lat2,
theta=rot2, axis="z")
#Rotate around the x-axis for the specified rotation:
rot3 = raxis_angle
lon3 = np.degrees(lon_rot2)
lat3 = np.degrees(lat_rot2)
lon_rot3, lat_rot3 = mplstereonet.stereonet_math._rotate(lon3, lat3,
theta=rot3, axis="x")
#Undo the z-axis rotation
rot4 = -rot2
lon4 = np.degrees(lon_rot3)
lat4 = np.degrees(lat_rot3)
lon_rot4, lat_rot4 = mplstereonet.stereonet_math._rotate(lon4, lat4,
theta=rot4, axis="z")
#Undo the x-axis rotation
rot5 = -rot1
lon5 = np.degrees(lon_rot4)
lat5 = np.degrees(lat_rot4)
lon_rot5, lat_rot5 = mplstereonet.stereonet_math._rotate(lon5, lat5,
theta=rot5, axis="x")
dipdir5, dip5 = self.convert_lonlat_to_dipdir(lon_rot5, lat_rot5)
return dipdir5, dip5
def annotate_vector(ax, plunge, bearing, i, **kwargs):
"""Annotate a sigma1, sigma2, or sigma3 plunge/bearing."""
rotation = 90 - bearing
lon, lat = mplstereonet.line(plunge, bearing)
ax.scatter(lon, lat, s=200, marker=(3,0,rotation+33), clip_on=False,
zorder=10, **kwargs)
x = 30 * np.cos(np.radians(rotation))
y = 30 * np.sin(np.radians(rotation))
x, y = int(x), int(y)
if plunge < 80:
ax.annotate('', xy=(lon, lat), xytext=(x, y), xycoords='data',
textcoords='offset points', arrowprops=dict(arrowstyle='-'))
ax.annotate(r'$\sigma_%i : %0.0f^{\circ}$'%(i, bearing),
xy=(lon, lat), xytext=(x, y), textcoords='offset points',
ha='right', va='center', size=24)
else:
ax.annotate(r'$\sigma_%i$'%i, xy=(lon, lat),
textcoords='offset points', xytext=(15, 0),
ha='left', va='center', size=24, color='white')
ax.density_contour(strike, dip, rake, measurement='rakes', cmap='gist_earth',
sigma=1.5)
ax.rake(strike, dip, rake, marker='.', color='black')
# Find the two modes
centers = mplstereonet.kmeans(strike, dip, rake, num=2, measurement='rakes')
strike_cent, dip_cent = mplstereonet.geographic2pole(*zip(*centers))
ax.pole(strike_cent, dip_cent, 'ro', ms=12)
# Fit a girdle to the two modes
# The pole of this plane will be the plunge of the fold axis
axis_s, axis_d = mplstereonet.fit_girdle(*zip(*centers), measurement='radians')
ax.plane(axis_s, axis_d, color='green')
ax.pole(axis_s, axis_d, color='green', marker='o', ms=15)
# Now we'll find the midpoint. We could project the centers as rakes on the
# plane we just fit, but it's easier to get their mean vector instead.
mid, _ = mplstereonet.find_mean_vector(*zip(*centers), measurement='radians')
midx, midy = mplstereonet.line(*mid)
# Now let's find the axial plane by fitting another girdle to the midpoint
# and the pole of the plunge axis.
xp, yp = mplstereonet.pole(axis_s, axis_d)
x, y = [xp[0], midx], [yp[0], midy]
axial_s, axial_dip = mplstereonet.fit_girdle(x, y, measurement='radians')
ax.plane(axial_s, axial_dip, color='lightblue', lw=3)
plt.show()
cmap='gist_earth',
sigma=1.5)
ax.rake(strike, dip, rake, marker='.', color='black')
# Find the two modes
centers = mplstereonet.kmeans(strike, dip, rake, num=2, measurement='rakes')
strike_cent, dip_cent = mplstereonet.geographic2pole(*zip(*centers))
ax.pole(strike_cent, dip_cent, 'ro', ms=12)
# Fit a girdle to the two modes
# The pole of this plane will be the plunge of the fold axis
axis_s, axis_d = mplstereonet.fit_girdle(*zip(*centers), measurement='radians')
ax.plane(axis_s, axis_d, color='green')
ax.pole(axis_s, axis_d, color='green', marker='o', ms=15)
# Now we'll find the midpoint. We could project the centers as rakes on the
# plane we just fit, but it's easier to get their mean vector instead.
mid, _ = mplstereonet.find_mean_vector(*zip(*centers), measurement='radians')
midx, midy = mplstereonet.line(*mid)
# Now let's find the axial plane by fitting another girdle to the midpoint
# and the pole of the plunge axis.
xp, yp = mplstereonet.pole(axis_s, axis_d)
x, y = [xp, midx], [yp, midy]
axial_s, axial_dip = mplstereonet.fit_girdle(x, y, measurement='radians')
ax.plane(axial_s, axial_dip, color='lightblue', lw=3)
plt.show()
