diff options
Diffstat (limited to 'io_import_dxf/transverse_mercator.py')
-rw-r--r-- | io_import_dxf/transverse_mercator.py | 54 |
1 files changed, 54 insertions, 0 deletions
diff --git a/io_import_dxf/transverse_mercator.py b/io_import_dxf/transverse_mercator.py new file mode 100644 index 00000000..84b155b3 --- /dev/null +++ b/io_import_dxf/transverse_mercator.py @@ -0,0 +1,54 @@ +# ##### BEGIN GPL LICENSE BLOCK ##### +# +# 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 2 +# 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, write to the Free Software Foundation, +# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. +# +# ##### END GPL LICENSE BLOCK ##### + +# <pep8 compliant> + +from math import sin, cos, atan, atanh, radians, tan, sinh, asin, cosh, degrees + +# see conversion formulas at +# http://en.wikipedia.org/wiki/Transverse_Mercator_projection +# http://mathworld.wolfram.com/MercatorProjection.html + + +class TransverseMercator: + radius = 6378137 + + def __init__(self, lat=0, lon=0): + self.lat = lat # in degrees + self.lon = lon # in degrees + self.lat_rad = radians(self.lat) + self.lon_rad = radians(self.lon) + + def fromGeographic(self, lat, lon): + lat_rad = radians(lat) + lon_rad = radians(lon) + B = cos(lat_rad) * sin(lon_rad - self.lon_rad) + x = self.radius * atanh(B) + y = self.radius * (atan(tan(lat_rad) / cos(lon_rad - self.lon_rad)) - self.lat_rad) + return x, y + + def toGeographic(self, x, y): + x /= self.radius + y /= self.radius + D = y + self.lat_rad + lon = atan(sinh(x) / cos(D)) + lat = asin(sin(D) / cosh(x)) + + lon = self.lon + degrees(lon) + lat = degrees(lat) + return lat, lon |