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# igc2kmz coordinate functions
# Copyright (C) 2008 Tom Payne
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
from math import acos, asin, atan2, cos, pi, sin, sqrt
R = 6371000.0
cardinals = 'N NNE NE ENE E ESE SE SSE S SSW SW WSW W WNW NW NNW'.split()
def rad_to_cardinal(rad):
while rad < 0.0:
rad += 2 * pi
return cardinals[int(8 * rad / pi + 0.5) % 16]
class degreeattr(object):
def __init__(self, attr):
self.attr = attr
def __get__(self, obj, type=None):
return 180.0 * getattr(obj, self.attr) / pi
def __set__(self, obj, value):
setattr(obj, self.attr, pi * value / 180.0)
class degreemethod(object):
def __new__(cls, f):
def deg_f(*args, **kwargs):
return 180.0 * f(*args, **kwargs) / pi
return deg_f
class Coord(object):
__slots__ = ('lat', 'lon', 'ele', 'dt')
lat_deg = degreeattr('lat')
lon_deg = degreeattr('lon')
def __init__(self, lat, lon, ele, dt=None):
self.lat = lat
self.lon = lon
self.ele = ele
self.dt = dt
@classmethod
def deg(cls, lat, lon, ele, dt=None):
return cls(pi * lat / 180.0, pi * lon / 180.0, ele, dt)
def dup(self):
return Coord(self.lat, self.lon, self.ele, self.dt)
def initial_bearing_to(self, other):
"""Return the initial bearing from self to other."""
y = sin(other.lon - self.lon) * cos(other.lat)
x = cos(self.lat) * sin(other.lat) \
- sin(self.lat) * cos(other.lat) * cos(other.lon - self.lon)
return atan2(y, x)
initial_bearing_to_deg = degreemethod(initial_bearing_to)
def distance_to(self, other):
"""Return the distance from self to other."""
d = sin(self.lat) * sin(other.lat) \
+ cos(self.lat) * cos(other.lat) * cos(self.lon - other.lon)
return R * acos(d) if d < 1.0 else 0.0
def halfway_to(self, other):
"""Return the point halfway between self and other."""
bx = cos(other.lat) * cos(other.lon - self.lon)
by = cos(other.lat) * sin(other.lon - self.lon)
cos_lat_plus_bx = cos(self.lat) + bx
lat = atan2(sin(self.lat) + sin(other.lat),
sqrt(cos_lat_plus_bx * cos_lat_plus_bx + by * by))
lon = self.lon + atan2(by, cos_lat_plus_bx)
ele = (self.ele + other.ele) / 2.0
return Coord(lat, lon, ele)
def interpolate(self, other, delta):
"""Return the point delta between self and other."""
d = sin(self.lat) * sin(other.lat) \
+ cos(self.lat) * cos(other.lat) * cos(other.lon - self.lon)
d = delta * acos(d) if d < 1.0 else 0.0
y = sin(other.lon - self.lon) * cos(other.lat)
x = cos(self.lat) * sin(other.lat) \
- sin(self.lat) * cos(other.lat) * cos(other.lon - self.lon)
theta = atan2(y, x)
lat = asin(sin(self.lat) * cos(d) + cos(self.lat) * sin(d) * cos(theta))
lon = self.lon + atan2(sin(theta) * sin(d) * cos(self.lat),
cos(d) - sin(self.lat) * sin(lat))
ele = (1.0 - delta) * self.ele + delta * other.ele
return Coord(lat, lon, ele)
def coord_at(self, theta, d):
"""Return the point d from self in direction theta."""
lat = asin(sin(self.lat) * cos(d / R)
+ cos(self.lat) * sin(d / R) * cos(theta))
lon = self.lon + atan2(sin(theta) * sin(d / R) * cos(self.lat),
cos(d / R) - sin(self.lat) * sin(lat))
ele = self.ele
return Coord(lat, lon, ele)