def gaussian(self, radius, sigma): # Values values = numpy.zeros((len(self.mesh))) # Compute the number of expected nodes numpnts = consts.pi*radius**2/(self.cellsize**2) # Smoothing the catalogue for lon, lat, mag in zip(self.catalogue.data['longitude'], self.catalogue.data['latitude'], self.catalogue.data['magnitude']): # set the bounding box minlon, minlat = point_at(lon, lat, 225, radius*2**0.5) maxlon, maxlat = point_at(lon, lat, 45, radius*2**0.5) # find nodes within the bounding box idxs = list(self.rtree.intersection((minlon, minlat, maxlon, maxlat))) # get distances dsts = min_geodetic_distance(lon, lat, self.mesh.lons[idxs], self.mesh.lats[idxs]) jjj = numpy.nonzero(dsts < 50)[0] idxs = numpy.array(idxs) iii = idxs[jjj] # set values tmpvalues= numpy.exp(-dsts[jjj]/sigma**2) normfact = sum(tmpvalues) values[iii] += tmpvalues/normfact return values
def test(self):
lon, lat = geodetic.point_at(10.0, 20.0, 30.0, 50.0)
self.assertAlmostEqual(lon, 10.239856504796101, places=6)
self.assertAlmostEqual(lat, 20.38925590463351, places=6)
lon, lat = geodetic.point_at(-13.5, 22.4, -140.0, 120.0)
self.assertAlmostEqual(lon, -14.245910669126582, places=6)
self.assertAlmostEqual(lat, 21.57159463157223, places=6)
def sample_aftershock_coords(mainshock,
n_aftershocks,
min_width=5,
min_depth=4,
max_depth=20.):
main_midpt_lat = mainshock.surface.get_middle_point().latitude
main_midpt_lon = mainshock.surface.get_middle_point().longitude
width = mainshock.surface.get_width()
length = mainshock.surface.get_area() / width
surface_width = width * np.sin(np.radians(mainshock.surface.get_dip()))
if surface_width < min_width:
surface_width = min_width
along_strike_distance = length * inverse_transform_sample(
aft_axis_distance, aft_distance_probs, n_aftershocks)
strike_perp_distance = width * inverse_transform_sample(
aft_axis_distance, aft_distance_probs, n_aftershocks)
aftershock_dists = np.sqrt(along_strike_distance**2 +
strike_perp_distance**2)
aftershock_angle_from_strike = np.degrees(
np.arctan2(strike_perp_distance, along_strike_distance))
aftershock_az = (aftershock_angle_from_strike +
mainshock.surface.get_strike())
aftershock_lons, aftershock_lats = point_at(main_midpt_lon, main_midpt_lat,
aftershock_az,
aftershock_dists)
aftershock_depths = np.random.uniform(min_depth, max_depth, n_aftershocks)
return aftershock_lons, aftershock_lats, aftershock_depths
def point_at(self, horizontal_distance, vertical_increment, azimuth):
"""
Compute the point with given horizontal, vertical distances
and azimuth from this point.
:param horizontal_distance:
Horizontal distance, in km.
:type horizontal_distance:
float
:param vertical_increment:
Vertical increment, in km. When positive, the new point
has a greater depth. When negative, the new point
has a smaller depth.
:type vertical_increment:
float
:type azimuth:
Azimuth, in decimal degrees.
:type azimuth:
float
:returns:
The point at the given distances.
:rtype:
Instance of :class:`Point`
"""
lon, lat = geodetic.point_at(self.longitude, self.latitude, azimuth,
horizontal_distance)
return Point(lon, lat, self.depth + vertical_increment)
def _set_vertexes(self):
self.plo.append(self.olo)
self.pla.append(self.ola)
for lngh, strk in zip(self.length, self.strike):
tlo, tla = point_at(self.plo[-1], self.pla[-1], strk, lngh)
self.plo.append(tlo)
self.pla.append(tla)
def point_at(self, horizontal_distance, vertical_increment, azimuth):
"""
Compute the point with given horizontal, vertical distances
and azimuth from this point.
:param horizontal_distance:
Horizontal distance, in km.
:type horizontal_distance:
float
:param vertical_increment:
Vertical increment, in km. When positive, the new point
has a greater depth. When negative, the new point
has a smaller depth.
:type vertical_increment:
float
:type azimuth:
Azimuth, in decimal degrees.
:type azimuth:
float
:returns:
The point at the given distances.
:rtype:
Instance of :class:`Point`
"""
lon, lat = geodetic.point_at(self.longitude, self.latitude,
azimuth, horizontal_distance)
return Point(lon, lat, self.depth + vertical_increment)
def translate(self, p1, p2):
"""
Translate the surface for a specific distance along a specific azimuth
direction.
Parameters are two points (instances of
:class:`openquake.hazardlib.geo.point.Point`) representing the
direction and an azimuth for translation. The resulting surface corner
points will be that far along that azimuth from respective corner
points of this surface as ``p2`` is located with respect to ``p1``.
:returns:
A new :class:`PlanarSurface` object with the same mesh spacing,
dip, strike, width, length and depth but with corners longitudes
and latitudes translated.
"""
azimuth = geodetic.azimuth(p1.longitude, p1.latitude,
p2.longitude, p2.latitude)
distance = geodetic.geodetic_distance(p1.longitude, p1.latitude,
p2.longitude, p2.latitude)
# avoid calling PlanarSurface's constructor
nsurf = object.__new__(PlanarSurface)
# but do call BaseQuadrilateralSurface's one
BaseQuadrilateralSurface.__init__(nsurf)
nsurf.mesh_spacing = self.mesh_spacing
nsurf.dip = self.dip
nsurf.strike = self.strike
nsurf.corner_lons, nsurf.corner_lats = geodetic.point_at(
self.corner_lons, self.corner_lats, azimuth, distance
)
nsurf.corner_depths = self.corner_depths.copy()
nsurf._init_plane()
nsurf.width = self.width
nsurf.length = self.length
return nsurf
def translate(self, p1, p2):
"""
Translate the surface for a specific distance along a specific azimuth
direction.
Parameters are two points (instances of
:class:`openquake.hazardlib.geo.point.Point`) representing the
direction and an azimuth for translation. The resulting surface corner
points will be that far along that azimuth from respective corner
points of this surface as ``p2`` is located with respect to ``p1``.
:returns:
A new :class:`PlanarSurface` object with the same mesh spacing,
dip, strike, width, length and depth but with corners longitudes
and latitudes translated.
"""
azimuth = geodetic.azimuth(p1.longitude, p1.latitude, p2.longitude,
p2.latitude)
distance = geodetic.geodetic_distance(p1.longitude, p1.latitude,
p2.longitude, p2.latitude)
# avoid calling PlanarSurface's constructor
nsurf = object.__new__(PlanarSurface)
nsurf.dip = self.dip
nsurf.strike = self.strike
nsurf.corner_lons, nsurf.corner_lats = geodetic.point_at(
self.corner_lons, self.corner_lats, azimuth, distance)
nsurf.corner_depths = self.corner_depths.copy()
nsurf._init_plane()
nsurf.width = self.width
nsurf.length = self.length
return nsurf
def _create_rupture(distance, magnitude,
tectonic_region_type=TRT.ACTIVE_SHALLOW_CRUST):
# Return a rupture with a fixed geometry located at a given r_jb distance
# from a site located at (0.0, 0.0).
# parameter float distance:
# Joyner and Boore rupture-site distance
# parameter float magnitude:
# Rupture magnitude
# Find the point at a given distance
lonp, latp = point_at(0.0, 0.0, 90., distance)
mag = magnitude
rake = 0.0
tectonic_region_type = tectonic_region_type
hypocenter = Point(lonp, latp, 2.5)
surface = PlanarSurface.from_corner_points(
Point(lonp, -1, 0.), Point(lonp, +1, 0.),
Point(lonp, +1, 5.), Point(lonp, -1, 5.))
surface = SimpleFaultSurface.from_fault_data(
fault_trace=Line([Point(lonp, -1), Point(lonp, 1)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=5.0,
dip=90.0,
mesh_spacing=1.0)
# check effective rupture-site distance
from openquake.hazardlib.geo.mesh import Mesh
mesh = Mesh(numpy.array([0.0]), numpy.array([0.0]))
assert abs(surface.get_joyner_boore_distance(mesh)-distance) < 1e-2
return BaseRupture(mag, rake, tectonic_region_type, hypocenter,
surface, NonParametricSeismicSource)
def _create_rupture(distance, magnitude,
tectonic_region_type=TRT.ACTIVE_SHALLOW_CRUST):
# Return a rupture with a fixed geometry located at a given r_jb distance
# from a site located at (0.0, 0.0).
# parameter float distance:
# Joyner and Boore rupture-site distance
# parameter float magnitude:
# Rupture magnitude
# Find the point at a given distance
lonp, latp = point_at(0.0, 0.0, 90., distance)
mag = magnitude
rake = 0.0
tectonic_region_type = tectonic_region_type
hypocenter = Point(lonp, latp, 2.5)
surface = PlanarSurface.from_corner_points(
Point(lonp, -1, 0.), Point(lonp, +1, 0.),
Point(lonp, +1, 5.), Point(lonp, -1, 5.))
surface = SimpleFaultSurface.from_fault_data(
fault_trace=Line([Point(lonp, -1), Point(lonp, 1)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=5.0,
dip=90.0,
mesh_spacing=1.0)
# check effective rupture-site distance
from openquake.hazardlib.geo.mesh import Mesh
mesh = Mesh(numpy.array([0.0]), numpy.array([0.0]))
assert abs(surface.get_joyner_boore_distance(mesh)-distance) < 1e-2
return BaseRupture(mag, rake, tectonic_region_type, hypocenter,
surface, NonParametricSeismicSource)
def discretize(self, mesh_spacing):
"""
Get a mesh of uniformly spaced points inside the polygon area
with distance of ``mesh_spacing`` km between.
:returns:
An instance of :class:`~openquake.hazardlib.geo.mesh.Mesh` that
holds the points data. Mesh is created with no depth information
(all the points are on the Earth surface).
"""
self._init_polygon2d()
west, east, north, south = self._bbox
lons = []
lats = []
# we cover the bounding box (in spherical coordinates) from highest
# to lowest latitude and from left to right by longitude. we step
# by mesh spacing distance (linear measure). we check each point
# if it is inside the polygon and yield the point object, if so.
# this way we produce an uniformly-spaced mesh regardless of the
# latitude.
latitude = north
while latitude > south:
longitude = west
while utils.get_longitudinal_extent(longitude, east) > 0:
# we use Cartesian space just for checking if a point
# is inside of the polygon.
x, y = self._projection(longitude, latitude)
if self._polygon2d.contains(shapely.geometry.Point(x, y)):
lons.append(longitude)
lats.append(latitude)
# move by mesh spacing along parallel...
longitude, _, = geodetic.point_at(longitude, latitude, 90,
mesh_spacing)
# ... and by the same distance along meridian in outer one
_, latitude = geodetic.point_at(west, latitude, 180, mesh_spacing)
lons = numpy.array(lons)
lats = numpy.array(lats)
return Mesh(lons, lats, depths=None)
def discretize(self, mesh_spacing):
"""
Get a mesh of uniformly spaced points inside the polygon area
with distance of ``mesh_spacing`` km between.
:returns:
An instance of :class:`~openquake.hazardlib.geo.mesh.Mesh` that
holds the points data. Mesh is created with no depth information
(all the points are on the Earth surface).
"""
self._init_polygon2d()
west, east, north, south = self._bbox
lons = []
lats = []
# we cover the bounding box (in spherical coordinates) from highest
# to lowest latitude and from left to right by longitude. we step
# by mesh spacing distance (linear measure). we check each point
# if it is inside the polygon and yield the point object, if so.
# this way we produce an uniformly-spaced mesh regardless of the
# latitude.
latitude = north
while latitude > south:
longitude = west
while utils.get_longitudinal_extent(longitude, east) > 0:
# we use Cartesian space just for checking if a point
# is inside of the polygon.
x, y = self._projection(longitude, latitude)
if self._polygon2d.contains(shapely.geometry.Point(x, y)):
lons.append(longitude)
lats.append(latitude)
# move by mesh spacing along parallel...
longitude, _, = geodetic.point_at(longitude, latitude,
90, mesh_spacing)
# ... and by the same distance along meridian in outer one
_, latitude = geodetic.point_at(west, latitude, 180, mesh_spacing)
lons = numpy.array(lons)
lats = numpy.array(lats)
return Mesh(lons, lats, depths=None)
def get_middle_point(lon1, lat1, lon2, lat2):
"""
Given two points return the point exactly in the middle lying on the same
great circle arc.
Parameters are point coordinates in degrees.
:returns:
Tuple of longitude and latitude of the point in the middle.
"""
if lon1 == lon2 and lat1 == lat2:
return lon1, lat1
dist = geodetic.geodetic_distance(lon1, lat1, lon2, lat2)
azimuth = geodetic.azimuth(lon1, lat1, lon2, lat2)
return geodetic.point_at(lon1, lat1, azimuth, dist / 2.0)
def get_middle_point(lon1, lat1, lon2, lat2):
"""
Given two points return the point exactly in the middle lying on the same
great circle arc.
Parameters are point coordinates in degrees.
:returns:
Tuple of longitude and latitude of the point in the middle.
"""
if lon1 == lon2 and lat1 == lat2:
return lon1, lat1
dist = geodetic.geodetic_distance(lon1, lat1, lon2, lat2)
azimuth = geodetic.azimuth(lon1, lat1, lon2, lat2)
return geodetic.point_at(lon1, lat1, azimuth, dist / 2.0)
def __call__(self, event):
if isinstance(event, KeyEvent):
if event.key is 'd':
print('----------------------')
self.xs = []
self.ys = []
self.xp = []
self.yp = []
self.line.set_data(self.xp, self.yp)
self.point.set_data(self.xs, self.ys)
self.line.figure.canvas.draw()
self.point.figure.canvas.draw()
self.data = []
elif event.key is 'f':
dat = numpy.array(self.data)
fname = './cs_%s.csv' % (self.csec.ids)
numpy.savetxt(fname, dat)
print('Section data saved to: %s' % (fname))
else:
pass
else:
olo = self.csec.olo
ola = self.csec.ola
assert len(self.csec.strike) == 1
if event.xdata is not None:
strike = self.csec.strike[0]
nlo, nla = point_at(olo, ola, strike, event.xdata)
cnt = len(self.xs)+1
print('%03d, %+7.4f, %+7.4f, %6.2f' % (cnt, nlo, nla,
event.ydata))
if event.inaxes != self.line.axes:
return
self.xp.append(event.xdata)
self.yp.append(event.ydata)
self.xs.append(event.xdata)
self.ys.append(event.ydata)
self.data.append([nlo, nla, event.ydata])
self.point.set_data(self.xs, self.ys)
self.line.set_data(self.xs, self.ys)
self.line.figure.canvas.draw()
self.point.figure.canvas.draw()
def from_hypocenter(cls, hypoc, msr, mag, aratio, strike, dip, rake):
"""
Create and return a planar surface given the hypocenter location
and other rupture properties.
:param hypoc:
An instance of :class: `openquake.hazardlib.geo.point.Point`
:param msr:
The magnitude scaling relationship
e.g. an instance of :class: `openquake.hazardlib.scalerel.WC1994`
:param mag:
The magnitude
:param aratio:
The rupture aspect ratio
:param strike:
The rupture strike
:param dip:
The rupture dip
:param rake:
The rupture rake
"""
lon = hypoc.longitude
lat = hypoc.latitude
depth = hypoc.depth
area = msr.get_median_area(mag, rake)
width = (area / aratio)**0.5
length = width * aratio
height = width * numpy.sin(numpy.radians(dip))
hdist = width * numpy.cos(numpy.radians(dip))
# Move hor. 1/2 hdist in direction -90
mid_top = point_at(lon, lat, strike - 90, hdist / 2)
# Move hor. 1/2 hdist in direction +90
mid_bot = point_at(lon, lat, strike + 90, hdist / 2)
# compute corner points at the surface
top_right = point_at(mid_top[0], mid_top[1], strike, length / 2)
top_left = point_at(mid_top[0], mid_top[1], strike + 180, length / 2)
bot_right = point_at(mid_bot[0], mid_bot[1], strike, length / 2)
bot_left = point_at(mid_bot[0], mid_bot[1], strike + 180, length / 2)
# compute corner points in 3D
pbl = Point(bot_left[0], bot_left[1], depth + height / 2)
pbr = Point(bot_right[0], bot_right[1], depth + height / 2)
hei = depth - height / 2
ptl = Point(top_left[0], top_left[1], hei)
ptr = Point(top_right[0], top_right[1], hei)
self = cls(strike, dip, ptl, ptr, pbr, pbl)
return self
def get_polygon_from_simple_fault(flt):
"""
"""
xtrace = []
ytrace = []
if isinstance(flt, SimpleFaultSource):
trc = flt.fault_trace
elif isinstance(flt, OQtSource):
trc = flt.trace
for pnt in trc:
xtrace.append(pnt.longitude)
ytrace.append(pnt.latitude)
#
# Get strike direction
azim = azimuth(xtrace[0], ytrace[0], xtrace[-1], ytrace[-1])
#
# Compute the dip direction
dip = flt.dip
dip_dir = (azim + 90) % 360
seism_thickness = flt.lower_seismogenic_depth - flt.upper_seismogenic_depth
#
# Horizontal distance
h_dist = seism_thickness / scipy.tan(scipy.radians(dip))
#
# Compute the bottom trace
xb = xtrace
yb = ytrace
for x, y in zip(xtrace[::-1], ytrace[::-1]):
nx, ny = point_at(x, y, dip_dir, h_dist)
xb.append(nx)
yb.append(ny)
# Create the polygon geometry
pnt_list = []
for x, y in zip(xb, yb):
pnt_list.append((x, y))
return pnt_list
def test01(self):
tmp_fname = 'trash'
cs_length = 400
cs_depth = 100
intd = 100
handle, tmp_fname = tempfile.mkstemp()
print(tmp_fname)
get_cs(self.trench, 'tmp.txt', cs_length, cs_depth, intd, 0, tmp_fname)
if PLOT:
_ = plt.figure()
columns = ['lon', 'lat', 'dep', 'len', 'azim', 'id', 'fname']
df = pd.read_csv(tmp_fname, names=columns, delimiter=' ')
for i, row in df.iterrows():
ex, ey = point_at(row.lon, row.lat, row.azim, row.len)
plt.plot([row.lon], [row.lat], 'o')
plt.text(row.lon, row.lat, '{:d}'.format(row.id))
plt.plot([row.lon, ex], [row.lat, ey], '-')
plt.show()
expected = os.path.join(BASE_PATH, 'data', 'traces', 'expected.txt')
msg = 'The two files do not match'
self.assertTrue(filecmp.cmp(tmp_fname, expected), msg)
def make_aftershock_surface(aft_d, scale_relationship=WC1994, mesh_spacing=2.):
rupture_area = scale_relationship().get_median_area(
aft_d['Mw'], aft_d['rake'])
length = (rupture_area * aft_d['aspect_ratio'])**0.5
width = length / aft_d['aspect_ratio']
mid_upper_lon, mid_upper_lat = point_at(
aft_d['lon'], aft_d['lat'], aft_d['strike'] - 90,
width * np.sin(np.radians(aft_d['dip'])))
mid_lower_lon, mid_lower_lat = point_at(
aft_d['lon'], aft_d['lat'], aft_d['strike'] + 90,
width * np.sin(np.radians(aft_d['dip'])))
ul_lon, ul_lat = point_at(mid_upper_lon, mid_upper_lat,
aft_d['strike'] - 180, length / 2)
ur_lon, ur_lat = point_at(mid_upper_lon, mid_upper_lat, aft_d['strike'],
length / 2)
ll_lon, ll_lat = point_at(mid_upper_lon, mid_upper_lat,
aft_d['strike'] - 180, length / 2)
lr_lon, lr_lat = point_at(mid_upper_lon, mid_upper_lat, aft_d['strike'],
length / 2)
upper_surface_depth = (aft_d['depth'] -
width * np.cos(np.radians(aft_d['dip'])))
if upper_surface_depth < 0:
upper_surface_depth = 0.
lower_surface_depth = (aft_d['depth'] +
width * np.cos(np.radians(aft_d['dip'])))
ul_corner = Point(ul_lon, ul_lat, upper_surface_depth)
ll_corner = Point(ll_lon, ll_lat, lower_surface_depth)
ur_corner = Point(ur_lon, ur_lat, upper_surface_depth)
lr_corner = Point(lr_lon, lr_lat, lower_surface_depth)
return PlanarSurface.from_corner_points(mesh_spacing, ul_corner, ur_corner,
lr_corner, ll_corner)
def createGeoJSON(self):
"""
Create the GeoJSON for the segment grid cells and earthquake point.
Returns:
dictionary: GeoJSON formatted dictionary.
"""
segment_cells = []
slips = np.asarray([])
for segment in self.segments:
slips = np.append(slips, segment['slip'].flatten())
max_slip = np.ceil(np.max(slips))
COLORS.vmax = max_slip
for num in range(self.getNumSegments()):
# Get segment
segment = self.getSegment(num)
arr_size = len(segment['lat'].flatten())
dx = [self.event['dx'] / 2] * arr_size
dy = [self.event['dz'] / 2] * arr_size
length = [self.event['dx']] * arr_size
width = [self.event['dz']] * arr_size
strike = [segment['strike']] * arr_size
dip = [segment['dip']] * arr_size
optional_properties = copy.deepcopy(segment)
for key in [
'dip', 'strike', 'lon', 'depth', 'slip', 'lat', 'length',
'width'
]:
del optional_properties[key]
for key in optional_properties:
optional_properties[key] = optional_properties[key].flatten()
px = segment['lon'].flatten()
py = segment['lat'].flatten()
pz = segment['depth'].flatten()
slips = segment['slip'].flatten()
# Verify that all are numpy arrays
px = np.array(px, dtype='d')
py = np.array(py, dtype='d')
# depth should be in meters not in km
pz = np.array(pz, dtype='d') * 1000
dx = np.array(dx, dtype='d')
dy = np.array(dy, dtype='d')
length = np.array(length, dtype='d')
width = np.array(width, dtype='d')
strike = np.array(strike, dtype='d')
dip = np.array(dip, dtype='d')
# Get P1 and P2 (top horizontal points)
theta = np.rad2deg(np.arctan((dy * np.cos(np.deg2rad(dip))) / dx))
P1_direction = strike + 180 + theta
P1_distance = np.sqrt(dx**2 + (dy * np.cos(np.deg2rad(dip)))**2)
P2_direction = strike
P2_distance = length
P1_lon = np.asarray([])
P1_lat = np.asarray([])
P2_lon = np.asarray([])
P2_lat = np.asarray([])
for idx, value in enumerate(px):
P1_points = point_at(px[idx], py[idx], P1_direction[idx],
P1_distance[idx])
P1_lon = np.append(P1_lon, P1_points[0])
P1_lat = np.append(P1_lat, P1_points[1])
P2_points = point_at(P1_points[0], P1_points[1],
P2_direction[idx], P2_distance[idx])
P2_lon = np.append(P2_lon, P2_points[0])
P2_lat = np.append(P2_lat, P2_points[1])
# Get top depth
top_horizontal_depth = pz - 1000 * np.abs(
dy * np.sin(np.deg2rad(dip)))
group_index = np.array(range(len(P1_lon)))
# Convert dip to radians
dip = np.radians(dip)
# Get a projection object
west = np.min((P1_lon.min(), P2_lon.min()))
east = np.max((P1_lon.max(), P2_lon.max()))
south = np.min((P1_lat.min(), P2_lat.min()))
north = np.max((P1_lat.max(), P2_lat.max()))
# Projected coordinates are in km
proj = OrthographicProjection(west, east, north, south)
xp2 = np.zeros_like(P1_lon)
xp3 = np.zeros_like(P1_lon)
yp2 = np.zeros_like(P1_lon)
yp3 = np.zeros_like(P1_lon)
zpdown = np.zeros_like(top_horizontal_depth)
for i, p1lon in enumerate(P1_lon):
# Project the top edge coordinates
p0x, p0y = proj(p1lon, P1_lat[i])
p1x, p1y = proj(P2_lon[i], P2_lat[i])
# Get the rotation angle defined by these two points
if strike is None:
dx = p1x - p0x
dy = p1y - p0y
theta = np.arctan2(dx, dy) # theta is angle from north
elif len(strike) == 1:
theta = np.radians(strike[0])
else:
theta = np.radians(strike[i])
R = np.array([[np.cos(theta), -np.sin(theta)],
[np.sin(theta), np.cos(theta)]])
# Rotate the top edge points into a new coordinate system (vertical
# line)
p0 = np.array([p0x, p0y])
p1 = np.array([p1x, p1y])
p0p = np.dot(R, p0)
p1p = np.dot(R, p1)
# Get right side coordinates in project, rotated system
dz = np.sin(dip[i]) * width[i] * 1000
dx = np.cos(dip[i]) * width[i]
p3xp = p0p[0] + dx
p3yp = p0p[1]
p2xp = p1p[0] + dx
p2yp = p1p[1]
# Get right side coordinates in un-rotated projected system
p3p = np.array([p3xp, p3yp])
p2p = np.array([p2xp, p2yp])
Rback = np.array([[np.cos(-theta), -np.sin(-theta)],
[np.sin(-theta),
np.cos(-theta)]])
p3 = np.dot(Rback, p3p)
p2 = np.dot(Rback, p2p)
p3x = np.array([p3[0]])
p3y = np.array([p3[1]])
p2x = np.array([p2[0]])
p2y = np.array([p2[1]])
# project lower edge points back to lat/lon coordinates
lon3, lat3 = proj(p3x, p3y, reverse=True)
lon2, lat2 = proj(p2x, p2y, reverse=True)
xp2[i] = lon2
xp3[i] = lon3
yp2[i] = lat2
yp3[i] = lat3
zpdown[i] = top_horizontal_depth[i] + dz
# ---------------------------------------------------------------------
# Create GeoJSON object
# ---------------------------------------------------------------------
u_groups = np.unique(group_index)
n_groups = len(u_groups)
polygons = []
for i in range(n_groups):
ind = np.where(u_groups[i] == group_index)[0]
lons = np.concatenate([
P1_lon[ind[0]].reshape((1, )), P2_lon[ind], xp2[ind][::-1],
xp3[ind][::-1][-1].reshape((1, )), P1_lon[ind[0]].reshape(
(1, ))
])
lats = np.concatenate([
P1_lat[ind[0]].reshape((1, )), P2_lat[ind], yp2[ind][::-1],
yp3[ind][::-1][-1].reshape((1, )), P1_lat[ind[0]].reshape(
(1, ))
])
deps = np.concatenate([
top_horizontal_depth[ind[0]].reshape(
(1, )), top_horizontal_depth[ind], zpdown[ind][::-1],
zpdown[ind][::-1][-1].reshape(
(1, )), top_horizontal_depth[ind[0]].reshape((1, ))
])
poly = []
for lon, lat, dep in zip(lons, lats, deps):
lon = np.around(lon, decimals=4)
lat = np.around(lat, decimals=4)
deps = np.around(deps, decimals=4)
coordinates = np.around(np.asarray([lon, lat, dep]),
decimals=5)
poly.append(coordinates.tolist())
properties = {}
for property in optional_properties:
properties[property] = optional_properties[property][i]
h = COLORS.getDataColor(slips[i], color_format='hex')
properties["slip"] = slips[i]
properties["fill"] = h
properties["stroke-width"] = 1.5
properties["fill-opacity"] = 1
d = {
"type": "Feature",
"properties": properties,
"geometry": {
"type": "Polygon",
"coordinates": [poly]
}
}
polygons += [d]
segment_cells += polygons
features = {
"type": "FeatureCollection",
"metadata": {
'epicenter': {
'location': self.event['location'],
'date':
self.event['date'].strftime('%Y-%m-%dT%H:%M:%S.%fZ'),
'depth': self.event['depth'],
'moment': self.event['moment'],
'mag': self.event['mag'],
'lon': self.event['lon'],
'lat': self.event['lat']
}
},
"features": segment_cells
}
self.corners = features
def fromOrientation(cls, px, py, pz, dx, dy, length, width, strike, dip,
origin):
"""
Create a QuadRupture instance from a known point, shape, and
orientation.
A point is defined as a set of latitude, longitude, and depth, which
is located in the corner between the tail of the vector pointing in
the strike direction and the dip direction (nearest to the surface).
The shape is defined by length, width, dx, and dy. The length is the
measurement of the quadrilateral in the direction of strike, and
width is the measurement of quadrilateral in the direction of dip.
Dx is the measurement on the plane in the strike direction between
the known point and the corner between the tail of the vector pointing
in the strike direction and the dip direction (nearest to the surface).
Dy is the measurement on the plane in the dip direction between
the known point and the corner between the tail of the vector pointing
in the strike direction and the dip direction (nearest to the surface).
The orientation is defined by azimuth and angle from
horizontal, strike and dip respectively. For example in plane view:
::
strike direction
p1*------------------->>p2
* | dy |
dip |--------o |
direction | dx known point | Width
V |
V |
p4----------------------p3
Length
Args:
px (array): Array or list of longitudes (floats) of the known
point.
py (array): Array or list of latitudes (floats) of the known point.
pz (array): Array or list of depths (floats) of the known point.
dx (array): Array or list of distances (floats), in the strike
direction, between the known point and P1. dx must be less than
length.
dy (array): Array or list of distances (floats), in the dip
direction, between the known point and P1. dy must be less than
width.
length (array): Array or list of widths (floats) of the plane in
the strike direction.
width (array): Array or list of widths (floats) of the plane in the
dip direction.
strike (array): Array or list of strike angles (floats).
dip (array): Array or list of dip angles (floats).
origin (Origin): Reference to a ShakeMap Origin object.
Returns:
QuadRupture instance.
Raises:
ShakeLibException: if the lengths of the points arrays are not
all equal.
"""
# Verify that arrays are of equal length
if len(px) == len(py) == len(pz) == len(dx) == len(dy) == len(
length) == len(width) == len(strike) == len(dip):
pass
else:
raise ShakeLibException(
'Number of px, py, pz, dx, dy, length, width, '
'strike, dip points must be '
'equal.')
# Verify that all are numpy arrays
px = np.array(px, dtype='d')
py = np.array(py, dtype='d')
pz = np.array(pz, dtype='d')
dx = np.array(dx, dtype='d')
dy = np.array(dy, dtype='d')
length = np.array(length, dtype='d')
width = np.array(width, dtype='d')
strike = np.array(strike, dtype='d')
dip = np.array(dip, dtype='d')
# Get P1 and P2 (top horizontal points)
theta = np.rad2deg(np.arctan2(dy * np.cos(np.deg2rad(dip)), dx))
P1_direction = strike + 180 + theta
P1_distance = np.sqrt(dx**2 + (dy * np.cos(np.deg2rad(dip)))**2)
P2_direction = strike
P2_distance = length
P1_lon = []
P1_lat = []
P2_lon = []
P2_lat = []
for idx, value in enumerate(px):
P1_points = point_at(px[idx], py[idx], P1_direction[idx],
P1_distance[idx])
P1_lon += [P1_points[0]]
P1_lat += [P1_points[1]]
P2_points = point_at(P1_points[0], P1_points[1], P2_direction[idx],
P2_distance[idx])
P2_lon += [P2_points[0]]
P2_lat += [P2_points[1]]
# Get top depth
top_horizontal_depth = pz - np.abs(dy * np.sin(np.deg2rad(dip)))
# Get QuadRupture object
quad = QuadRupture.fromTrace(P1_lon,
P1_lat,
P2_lon,
P2_lat,
top_horizontal_depth,
width,
dip,
origin,
strike=strike)
return quad
def test_zero_distance(self):
lon, lat = geodetic.point_at(1.3, -5.6, -35.0, 0)
self.assertAlmostEqual(lon, 1.3)
self.assertAlmostEqual(lat, -5.6)
