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 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 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:`nhlib.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 BaseSurface's one
BaseSurface.__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 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:`nhlib.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 BaseSurface's one
BaseSurface.__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 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:`~nhlib.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:`~nhlib.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 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)
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)