updates to layout core module packages in a more logical way, including renaming methods from objects to nodes and nodes.objid to nodes.id
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bharnden
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100 changed files with 10283 additions and 3489 deletions
259
daemon/core/location/utm.py
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259
daemon/core/location/utm.py
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"""
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utm
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===
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.. image:: https://travis-ci.org/Turbo87/utm.png
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Bidirectional UTM-WGS84 converter for python
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Usage
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-----
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::
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import utm
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Convert a (latitude, longitude) tuple into an UTM coordinate::
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utm.from_latlon(51.2, 7.5)
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>>> (395201.3103811303, 5673135.241182375, 32, 'U')
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Convert an UTM coordinate into a (latitude, longitude) tuple::
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utm.to_latlon(340000, 5710000, 32, 'U')
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>>> (51.51852098408468, 6.693872395145327)
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Speed
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-----
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The library has been compared to the more generic pyproj library by running the
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unit test suite through pyproj instead of utm. These are the results:
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* with pyproj (without projection cache): 4.0 - 4.5 sec
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* with pyproj (with projection cache): 0.9 - 1.0 sec
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* with utm: 0.4 - 0.5 sec
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Authors
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-------
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* Tobias Bieniek <Tobias.Bieniek@gmx.de>
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License
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-------
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Copyright (C) 2012 Tobias Bieniek <Tobias.Bieniek@gmx.de>
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Permission is hereby granted, free of charge, to any person obtaining a copy of
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this software and associated documentation files (the "Software"), to deal in
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the Software without restriction, including without limitation the rights to
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use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
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of the Software, and to permit persons to whom the Software is furnished to do
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so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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"""
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import math
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__all__ = ['to_latlon', 'from_latlon']
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class OutOfRangeError(ValueError):
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pass
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K0 = 0.9996
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E = 0.00669438
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E2 = E * E
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E3 = E2 * E
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E_P2 = E / (1.0 - E)
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SQRT_E = math.sqrt(1 - E)
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_E = (1 - SQRT_E) / (1 + SQRT_E)
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_E3 = _E * _E * _E
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_E4 = _E3 * _E
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M1 = (1 - E / 4 - 3 * E2 / 64 - 5 * E3 / 256)
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M2 = (3 * E / 8 + 3 * E2 / 32 + 45 * E3 / 1024)
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M3 = (15 * E2 / 256 + 45 * E3 / 1024)
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M4 = (35 * E3 / 3072)
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P2 = (3 * _E / 2 - 27 * _E3 / 32)
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P3 = (21 * _E3 / 16 - 55 * _E4 / 32)
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P4 = (151 * _E3 / 96)
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R = 6378137
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ZONE_LETTERS = [
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(84, None), (72, 'X'), (64, 'W'), (56, 'V'), (48, 'U'), (40, 'T'),
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(32, 'S'), (24, 'R'), (16, 'Q'), (8, 'P'), (0, 'N'), (-8, 'M'), (-16, 'L'),
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(-24, 'K'), (-32, 'J'), (-40, 'H'), (-48, 'G'), (-56, 'F'), (-64, 'E'),
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(-72, 'D'), (-80, 'C')
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]
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def to_latlon(easting, northing, zone_number, zone_letter):
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zone_letter = zone_letter.upper()
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if not 100000 <= easting < 1000000:
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raise OutOfRangeError('easting out of range (must be between 100.000 m and 999.999 m)')
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if not 0 <= northing <= 10000000:
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raise OutOfRangeError('northing out of range (must be between 0 m and 10.000.000 m)')
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if not 1 <= zone_number <= 60:
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raise OutOfRangeError('zone number out of range (must be between 1 and 60)')
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if not 'C' <= zone_letter <= 'X' or zone_letter in ['I', 'O']:
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raise OutOfRangeError('zone letter out of range (must be between C and X)')
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x = easting - 500000
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y = northing
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if zone_letter < 'N':
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y -= 10000000
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m = y / K0
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mu = m / (R * M1)
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p_rad = (mu + P2 * math.sin(2 * mu) + P3 * math.sin(4 * mu) + P4 * math.sin(6 * mu))
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p_sin = math.sin(p_rad)
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p_sin2 = p_sin * p_sin
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p_cos = math.cos(p_rad)
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p_tan = p_sin / p_cos
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p_tan2 = p_tan * p_tan
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p_tan4 = p_tan2 * p_tan2
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ep_sin = 1 - E * p_sin2
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ep_sin_sqrt = math.sqrt(1 - E * p_sin2)
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n = R / ep_sin_sqrt
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r = (1 - E) / ep_sin
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c = _E * p_cos ** 2
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c2 = c * c
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d = x / (n * K0)
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d2 = d * d
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d3 = d2 * d
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d4 = d3 * d
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d5 = d4 * d
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d6 = d5 * d
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latitude = (p_rad - (p_tan / r) *
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(d2 / 2 -
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d4 / 24 * (5 + 3 * p_tan2 + 10 * c - 4 * c2 - 9 * E_P2)) +
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d6 / 720 * (61 + 90 * p_tan2 + 298 * c + 45 * p_tan4 - 252 * E_P2 - 3 * c2))
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longitude = (d -
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d3 / 6 * (1 + 2 * p_tan2 + c) +
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d5 / 120 * (5 - 2 * c + 28 * p_tan2 - 3 * c2 + 8 * E_P2 + 24 * p_tan4)) / p_cos
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return (math.degrees(latitude),
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math.degrees(longitude) + zone_number_to_central_longitude(zone_number))
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def from_latlon(latitude, longitude):
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if not -80.0 <= latitude <= 84.0:
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raise OutOfRangeError('latitude out of range (must be between 80 deg S and 84 deg N)')
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if not -180.0 <= longitude <= 180.0:
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raise OutOfRangeError('northing out of range (must be between 180 deg W and 180 deg E)')
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lat_rad = math.radians(latitude)
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lat_sin = math.sin(lat_rad)
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lat_cos = math.cos(lat_rad)
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lat_tan = lat_sin / lat_cos
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lat_tan2 = lat_tan * lat_tan
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lat_tan4 = lat_tan2 * lat_tan2
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lon_rad = math.radians(longitude)
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zone_number = latlon_to_zone_number(latitude, longitude)
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central_lon = zone_number_to_central_longitude(zone_number)
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central_lon_rad = math.radians(central_lon)
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zone_letter = latitude_to_zone_letter(latitude)
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n = R / math.sqrt(1 - E * lat_sin ** 2)
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c = E_P2 * lat_cos ** 2
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a = lat_cos * (lon_rad - central_lon_rad)
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a2 = a * a
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a3 = a2 * a
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a4 = a3 * a
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a5 = a4 * a
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a6 = a5 * a
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m = R * (M1 * lat_rad -
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M2 * math.sin(2 * lat_rad) +
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M3 * math.sin(4 * lat_rad) -
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M4 * math.sin(6 * lat_rad))
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easting = K0 * n * (a +
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a3 / 6 * (1 - lat_tan2 + c) +
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a5 / 120 * (5 - 18 * lat_tan2 + lat_tan4 + 72 * c - 58 * E_P2)) + 500000
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northing = K0 * (m + n * lat_tan * (a2 / 2 +
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a4 / 24 * (5 - lat_tan2 + 9 * c + 4 * c ** 2) +
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a6 / 720 * (61 - 58 * lat_tan2 + lat_tan4 + 600 * c - 330 * E_P2)))
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if latitude < 0:
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northing += 10000000
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return easting, northing, zone_number, zone_letter
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def latitude_to_zone_letter(latitude):
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for lat_min, zone_letter in ZONE_LETTERS:
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if latitude >= lat_min:
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return zone_letter
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return None
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def latlon_to_zone_number(latitude, longitude):
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if 56 <= latitude <= 64 and 3 <= longitude <= 12:
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return 32
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if 72 <= latitude <= 84 and longitude >= 0:
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if longitude <= 9:
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return 31
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elif longitude <= 21:
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return 33
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elif longitude <= 33:
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return 35
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elif longitude <= 42:
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return 37
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return int((longitude + 180) / 6) + 1
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def zone_number_to_central_longitude(zone_number):
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return (zone_number - 1) * 6 - 180 + 3
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def haversine(lon1, lat1, lon2, lat2):
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"""
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Calculate the great circle distance between two points
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on the earth (specified in decimal degrees)
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"""
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# convert decimal degrees to radians
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lon1, lat1, lon2, lat2 = map(math.radians, [lon1, lat1, lon2, lat2])
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# haversine formula
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dlon = lon2 - lon1
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dlat = lat2 - lat1
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a = math.sin(dlat / 2) ** 2 + math.cos(lat1) * math.cos(lat2) * math.sin(dlon / 2) ** 2
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c = 2 * math.asin(math.sqrt(a))
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m = 6367000 * c
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return m
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