# -*- coding: utf-8 -*-
# Created by jrpeacock https://github.com/MTgeophysics/mtpy.git>
# edited by LKouadio
"""
GIS Utilities
================
This module contains tools to help project between coordinate systems. The
module will first use GDAL if installed. If GDAL is not installed then
pyproj is used. Main functions are:
* project_point_ll2utm
* project_point_utm2ll
These can take in a point or an array or list of points to project.
latitude and longitude can be input as:
* 'DD:mm:ss.ms'
* 'DD.decimal_degrees'
* float(DD.decimal_degrees)
"""
import numpy as np
from .._watexlog import watexlog
from ..decorators import (
deprecated ,
gdal_data_check
)
from ..exceptions import (
GISError
)
try :
from ._set_gdal import HAS_GDAL, EPSG_DICT
if HAS_GDAL:
from osgeo import osr
from osgeo.ogr import OGRERR_NONE
else:
import pyproj
except :
HAS_GDAL =False
pass
_logger = watexlog.get_watex_logger(__name__)
def _assert_minutes(minutes):
assert 0 <= minutes < 60., \
'minutes needs to be <60 and >0, currently {0:.0f}'.format(minutes)
return minutes
def _assert_seconds(seconds):
assert 0 <= seconds < 60., \
'seconds needs to be <60 and >0, currently {0:.3f}'.format(seconds)
return seconds
def _resume(deg_or_min, value):
""" resume the countdown and add one if seconds or degree is equal to 60.
Commonly seconds and minutes should not end by 60, otherwise one
min or hour is topped. Thus the second and minute restart counting.
This is useful to skip the assertion error when second and minutes are
equal to 60. Conversion is done instead.
"""
return ( deg_or_min + value//60, value%60 ) if float (value) >=60. else (
deg_or_min, value )
[docs]def convert_position_str2float(position_str):
"""
Convert a position string in the format of DD:MM:SS to decimal degrees
Parameters
-------------
**position_str** : string ('DD:MM:SS.ms')
degrees of latitude or longitude
Returns
--------------
**position** : float
latitude or longitude in decimal degrees
Example
-------------
>>> import watex.utils.gis_tools as gis_tools
>>> gis_tools.convert_position_str2float('-118:34:56.3')
"""
if position_str in [None, 'None']:
return None
p_list = position_str.split(':')
if len(p_list) != 3:
raise ValueError('{0} not correct format, should be DD:MM:SS'.format(position_str))
deg = float(p_list[0])
minutes = float(p_list[1])
sec = float(p_list[2])
minutes, sec = _resume(minutes, sec)
deg, minutes = _resume(deg, minutes)
# get the sign of the position so that when all are added together the
# position is in the correct place
sign = 1
if deg < 0:
sign = -1
position_value = sign * (abs(deg) + minutes / 60. + sec / 3600.)
return position_value
[docs]def assert_lat_value(latitude):
"""
make sure latitude is in decimal degrees
"""
# if latitude in [None, 'None']:
# return None
try:
lat_value = float(latitude)
except TypeError:
return None
except ValueError:
lat_value = convert_position_str2float(latitude)
if abs(lat_value) >= 90:
print("==> The lat_value =", lat_value)
raise ValueError('|Latitude| > 90, unacceptable!')
return lat_value
[docs]def assert_lon_value(longitude):
"""
make sure longitude is in decimal degrees
"""
if longitude in [None, 'None']:
return None
try:
lon_value = float(longitude)
except TypeError:
return None
except ValueError:
lon_value = convert_position_str2float(longitude)
if abs(lon_value) >= 180:
raise ValueError('|Longitude| > 180, unacceptable!')
return lon_value
[docs]def assert_elevation_value(elevation):
"""
make sure elevation is a floating point number
"""
try:
elev_value = float(elevation)
except (ValueError, TypeError):
elev_value = 0.0
_logger.warn('{0} is not a number, setting elevation to 0'.format(elevation))
return elev_value
[docs]def convert_position_float2str(position):
"""
convert position float to a string in the format of DD:MM:SS
Parameters
-------------
**position** : float
decimal degrees of latitude or longitude
Returns
--------------
**position_str** : string
latitude or longitude in format of DD:MM:SS.ms
Example
-------------
>>> import watex.utils.gis_tools as gis_tools
>>> gis_tools.convert_position_float2str(-118.34563)
"""
assert type(position) is float, 'Given value is not a float'
deg = int(position)
sign = 1
if deg < 0:
sign = -1
deg = abs(deg)
minutes = (abs(position) - deg) * 60.
# need to round seconds to 4 decimal places otherwise machine precision
# keeps the 60 second roll over and the string is incorrect.
sec = np.round((minutes - int(minutes)) * 60., 4)
if sec >= 60.:
minutes += 1
sec = 0
if int(minutes) == 60:
deg += 1
minutes = 0
position_str = '{0}:{1:02.0f}:{2:05.2f}'.format(sign * int(deg),
int(minutes),
sec)
return position_str
[docs]@deprecated("NATO UTM zone is used in other part of mtpy,"
" this function is for Standard UTM")
def get_utm_string_from_sr(spatialreference):
"""
return utm zone string from spatial reference instance
"""
zone_number = spatialreference.GetUTMZone()
if zone_number > 0:
return str(zone_number) + 'N'
elif zone_number < 0:
return str(abs(zone_number)) + 'S'
else:
return str(zone_number)
[docs]def get_utm_zone(latitude, longitude):
"""
Get utm zone from a given latitude and longitude
"""
zone_number = (int(1 + (longitude + 180.0) / 6.0))
## why is this needed here, GDAL only needs N-orth or S-outh
## n_str = _utm_letter_designator(latitude)
is_northern = bool(latitude >= 0)
# if latitude < 0.0:
# n_str = 'S'
# else:
# n_str = 'N'
n_str = _utm_letter_designator(latitude)
return zone_number, is_northern, '{0:02.0f}{1}'.format(zone_number, n_str)
[docs]def utm_zone_to_epsg(zone_number, is_northern):
"""
get epsg code (WGS84 datum) for a given utm zone
"""
for key in list(EPSG_DICT.keys()):
val = EPSG_DICT[key]
if ('+zone={:<2}'.format(zone_number) in val) and ('+datum=WGS84' in val):
if is_northern:
if '+south' not in val:
return key
else:
if '+south' in val:
return key
[docs]def get_epsg(latitude, longitude):
"""
get epsg code for the utm projection (WGS84 datum) of a given latitude
and longitude pair
"""
zone_no,is_northern,utm_str = get_utm_zone(latitude, longitude)
return utm_zone_to_epsg(zone_no,is_northern)
[docs]def project_point_ll2utm(lat, lon, datum='WGS84', utm_zone=None, epsg=None):
"""
Project a point that is in Lat, Lon (will be converted to decimal degrees)
into UTM coordinates.
Parameters
---------------
**lat** : float or string (DD:MM:SS.ms)
latitude of point
**lon** : float or string (DD:MM:SS.ms)
longitude of point
**datum** : string
well known datum ex. WGS84, NAD27, NAD83, etc.
**utm_zone** : string
zone number and 'S' or 'N' e.g. '55S'
**epsg** : int
epsg number defining projection (see
http://spatialreference.org/ref/ for moreinfo)
Overrides utm_zone if both are provided
Returns
--------------
**proj_point**: tuple(easting, northing, zone)
projected point in UTM in Datum
"""
if lat is None or lon is None:
return None, None, None
# make sure the lat and lon are in decimal degrees
if np.iterable(lon) and np.iterable(lat):
lat = np.array([assert_lat_value(lat_value) for lat_value in lat])
lon = np.array([assert_lon_value(lon_value) for lon_value in lon])
assert lat.size == lon.size
else:
lat = np.array([assert_lat_value(lat)])
lon = np.array([assert_lon_value(lon)])
if HAS_GDAL:
# set lat lon coordinate system
ll_cs = osr.SpatialReference()
if isinstance(datum, int):
ogrerr = ll_cs.ImportFromEPSG(datum)
if ogrerr != OGRERR_NONE:
raise GISError("GDAL/osgeo ogr error code: {}".format(ogrerr))
elif isinstance(datum, str):
ogrerr = ll_cs.SetWellKnownGeogCS(datum)
if ogrerr != OGRERR_NONE:
raise GISError("GDAL/osgeo ogr error code: {}".format(ogrerr))
else:
raise GISError("""datum {0} not understood, needs to be EPSG as int
or a well known datum as a string""".format(datum))
# set utm coordinate system
utm_cs = osr.SpatialReference()
# end if
# project point on to EPSG coordinate system if given
if isinstance(epsg, int):
if HAS_GDAL:
ogrerr = utm_cs.ImportFromEPSG(epsg)
if ogrerr != OGRERR_NONE:
raise GISError("GDAL/osgeo ogr error code: {}".format(ogrerr))
else:
import pyproj
pp = pyproj.Proj('+init=EPSG:%d'%(epsg))
# end if
# otherwise project onto given datum
elif epsg is None:
if HAS_GDAL:
ogrerr = utm_cs.CopyGeogCSFrom(ll_cs)
if ogrerr != OGRERR_NONE:
raise GISError("GDAL/osgeo ogr error code: {}".format(ogrerr))
# end if
if utm_zone is None or not isinstance(None, str) or utm_zone.lower() == 'none':
# get the UTM zone in the datum coordinate system, otherwise
zone_number, is_northern, utm_zone = get_utm_zone(lat.mean(),
lon.mean())
else:
# get zone number and is_northern from utm_zone string
zone_number = int(utm_zone[0:-1])
is_northern = True if utm_zone[-1].lower() > 'n' else False
if(HAS_GDAL):
utm_cs.SetUTM(zone_number, is_northern)
else:
import pyproj # for consistency
projstring = '+proj=utm +zone=%d +%s +datum=%s' % \
(zone_number, 'north' if is_northern else 'south', datum)
pp = pyproj.Proj(projstring)
# end if
# end if
# return different results depending on if lat/lon are iterable
projected_point = np.zeros_like(lat, dtype=[('easting', np.float),
('northing', np.float),
('elev', np.float),
('utm_zone', 'U4')])
if(HAS_GDAL):
ll2utm = osr.CoordinateTransformation(ll_cs, utm_cs).TransformPoint
else:
ll2utm = pp
# end if
for ii in range(lat.size):
point = ll2utm(lon[ii], lat[ii])
projected_point['easting'][ii] = point[0]
projected_point['northing'][ii] = point[1]
if(HAS_GDAL): projected_point['elev'][ii] = point[2]
projected_point['utm_zone'][ii] = utm_zone if utm_zone is not None \
else get_utm_zone(lat[ii], lon[ii])[2]
# end for
# if just projecting one point, then return as a tuple so as not to break
# anything. In the future we should adapt to just return a record array
if len(projected_point) == 1:
return (projected_point['easting'][0],
projected_point['northing'][0],
projected_point['utm_zone'][0])
else:
return np.rec.array(projected_point)
#espg = 3149
[docs]def project_point_utm2ll(easting, northing, utm_zone, datum='WGS84', epsg=None):
"""
Project a point that is in Lat, Lon (will be converted to decimal degrees)
into UTM coordinates.
Parameters
---------------
**easting** : float
easting coordinate in meters
**northing** : float
northing coordinate in meters
**utm_zone** : string (##N or ##S)
utm zone in the form of number and North or South
hemisphere, 10S or 03N
**datum** : string
well known datum ex. WGS84, NAD27, etc.
Returns
--------------
**proj_point**: tuple(lat, lon)
projected point in lat and lon in Datum, as decimal
degrees.
"""
try:
easting = float(easting)
except ValueError:
raise GISError("easting is not a float")
try:
northing = float(northing)
except ValueError:
raise GISError("northing is not a float")
if HAS_GDAL:
# set utm coordinate system
utm_cs = osr.SpatialReference()
utm_cs.SetWellKnownGeogCS(datum)
# end if
if epsg is not None:
if HAS_GDAL:
ogrerr = utm_cs.ImportFromEPSG(epsg)
if ogrerr != OGRERR_NONE:
raise Exception("GDAL/osgeo ogr error code: {}".format(ogrerr))
else:
import pyproj
pp = pyproj.Proj('+init=EPSG:%d'%(epsg))
# end if
elif isinstance(utm_zone, str) or isinstance(utm_zone, np.bytes_):
# the isinstance(utm_zone, str) could be False in python3 due to numpy datatype change.
# So FZ added isinstance(utm_zone, np.bytes_) and convert the utm_zone into string
if isinstance(utm_zone, np.bytes_):
utm_zone = utm_zone.decode('UTF-8') # b'54J'
try:
zone_number = int(utm_zone[0:-1]) #b'54J'
zone_letter = utm_zone[-1]
except ValueError:
raise ValueError('Zone number {0} is not a number'.format(utm_zone[0:-1]))
is_northern = True if zone_letter.lower() >= 'n' else False
elif isinstance(utm_zone, int):
# std UTM code returned by gdal
is_northern = False if utm_zone < 0 else True
zone_number = abs(utm_zone)
else:
# print("epsg and utm_zone", str(epsg), str(utm_zone))
raise NotImplementedError(
"utm_zone type (%s, %s) not supported"%(type(utm_zone), str(utm_zone)))
if epsg is None:
if HAS_GDAL:
utm_cs.SetUTM(zone_number, is_northern)
else:
import pyproj
projstring = '+proj=utm +zone=%d +%s +datum=%s' % \
(zone_number, 'north' if is_northern else 'south', datum)
pp = pyproj.Proj(projstring)
# end if
# end if
if HAS_GDAL:
ll_cs = utm_cs.CloneGeogCS()
utm2ll = osr.CoordinateTransformation(utm_cs, ll_cs).TransformPoint
ll_point = list(utm2ll(easting, northing, 0.))
else:
ll_point = pp(easting, northing, inverse=True)
# end if
# be sure to round out the numbers to remove computing with floats
return round(ll_point[1], 6), round(ll_point[0], 6), utm_zone
[docs]def project_points_ll2utm(lat, lon, datum='WGS84', utm_zone=None, epsg=None):
"""
Project a list of points that is in Lat, Lon (will be converted to decimal
degrees) into UTM coordinates.
Parameters
---------------
**lat** : float or string (DD:MM:SS.ms)
latitude of point
**lon** : float or string (DD:MM:SS.ms)
longitude of point
**datum** : string
well known datum ex. WGS84, NAD27, NAD83, etc.
**utm_zone** : string
zone number and 'S' or 'N' e.g. '55S'. Defaults to the
centre point of the provided points
**epsg** : int
epsg number defining projection (see
http://spatialreference.org/ref/ for moreinfo)
Overrides utm_zone if both are provided
Returns
--------------
**proj_point**: tuple(easting, northing, zone)
projected point in UTM in Datum
"""
lat = np.array(lat)
lon = np.array(lon)
# check length of arrays
if np.shape(lat) != np.shape(lon):
raise ValueError("latitude and longitude arrays are of different lengths")
# flatten, if necessary
flattened = False
llshape = np.shape(lat)
if llshape[0] > 1:
flattened = True
lat = lat.flatten()
lon = lon.flatten()
'''
# check lat/lon values
# this is incredibly slow; disabling for the time being
for ii in range(len(lat)):
lat[ii] = assert_lat_value(lat[ii])
lon[ii] = assert_lon_value(lon[ii])
'''
if lat is None or lon is None:
return None, None, None
if HAS_GDAL:
# set utm coordinate system
utm_cs = osr.SpatialReference()
utm_cs.SetWellKnownGeogCS(datum)
# set lat, lon coordinate system
ll_cs = utm_cs.CloneGeogCS()
ll_cs.ExportToPrettyWkt()
# end if
# get zone number, north and zone name
if epsg is not None:
if HAS_GDAL:
# set projection info
ogrerr = utm_cs.ImportFromEPSG(epsg)
if ogrerr != OGRERR_NONE:
raise Exception("GDAL/osgeo ogr error code: {}".format(ogrerr))
# get utm zone (for information) if applicable
utm_zone = utm_cs.GetUTMZone()
# Whilst some projections e.g. Geoscience Australia Lambert (epsg3112) do
# not yield UTM zones, they provide eastings and northings for the whole
# Australian region. We therefore set UTM zones, only when a valid UTM zone
# is available
if(utm_zone>0):
# set projection info
utm_cs.SetUTM(abs(utm_zone), utm_zone > 0)
else:
pp = pyproj.Proj('+init=EPSG:%d'%(epsg))
# end if
else:
if utm_zone is not None:
# get zone number and is_northern from utm_zone string
zone_number = int(utm_zone[0:-1])
is_northern = True if utm_zone[-1].lower() > 'n' else False
else:
# get centre point and get zone from that
latc = (np.nanmax(lat) + np.nanmin(lat)) / 2.
lonc = (np.nanmax(lon) + np.nanmin(lon)) / 2.
zone_number, is_northern, utm_zone = get_utm_zone(latc, lonc)
# set projection info
if(HAS_GDAL):
utm_cs.SetUTM(zone_number, is_northern)
else:
projstring = '+proj=utm +zone=%d +%s +datum=%s' % \
(zone_number, 'north' if is_northern else 'south', datum)
pp = pyproj.Proj(projstring)
# end if
# end if
if HAS_GDAL:
ll2utm = osr.CoordinateTransformation(ll_cs, utm_cs).TransformPoints
easting, northing, elev = np.array(ll2utm(np.array([lon, lat]).T)).T
else:
ll2utm = pp
easting, northing = ll2utm(lon, lat)
# end if
projected_point = (easting, northing, utm_zone)
# reshape back into original shape
if flattened:
lat = lat.reshape(llshape)
lon = lon.reshape(llshape)
return projected_point
# end func
# =================================
# functions from latlon_utm_conversion.py
_deg2rad = np.pi / 180.0
_rad2deg = 180.0 / np.pi
_equatorial_radius = 2
_eccentricity_squared = 3
_ellipsoid = [
# id, Ellipsoid name, Equatorial Radius, square of eccentricity
# first once is a placeholder only, To allow array indices to match id
# numbers
[-1, "Placeholder", 0, 0],
[1, "Airy", 6377563, 0.00667054],
[2, "Australian National", 6378160, 0.006694542],
[3, "Bessel 1841", 6377397, 0.006674372],
[4, "Bessel 1841 (Nambia] ", 6377484, 0.006674372],
[5, "Clarke 1866", 6378206, 0.006768658],
[6, "Clarke 1880", 6378249, 0.006803511],
[7, "Everest", 6377276, 0.006637847],
[8, "Fischer 1960 (Mercury] ", 6378166, 0.006693422],
[9, "Fischer 1968", 6378150, 0.006693422],
[10, "GRS 1967", 6378160, 0.006694605],
[11, "GRS 1980", 6378137, 0.00669438],
[12, "Helmert 1906", 6378200, 0.006693422],
[13, "Hough", 6378270, 0.00672267],
[14, "International", 6378388, 0.00672267],
[15, "Krassovsky", 6378245, 0.006693422],
[16, "Modified Airy", 6377340, 0.00667054],
[17, "Modified Everest", 6377304, 0.006637847],
[18, "Modified Fischer 1960", 6378155, 0.006693422],
[19, "South American 1969", 6378160, 0.006694542],
[20, "WGS 60", 6378165, 0.006693422],
[21, "WGS 66", 6378145, 0.006694542],
[22, "WGS-72", 6378135, 0.006694318],
[23, "WGS-84", 6378137, 0.00669438]
]
# Reference ellipsoids derived from Peter H. Dana's website-
# http://www.utexas.edu/depts/grg/gcraft/notes/datum/elist.html
# Department of Geography, University of Texas at Austin
# Internet: pdana@mail.utexas.edu
# 3/22/95
# Source
# Defense Mapping Agency. 1987b. DMA Technical Report: Supplement to Department of Defense World Geodetic System
# 1984 Technical Report. Part I and II. Washington, DC: Defense Mapping Agency
# @deprecated("This function may be removed in later release."
# " watex.utils.gistools.project_point_ll2utm() should be "
# "used instead.")
[docs]def ll_to_utm(reference_ellipsoid, lat, lon):
"""
converts lat/long to UTM coords. Equations from USGS Bulletin 1532
East Longitudes are positive, West longitudes are negative.
North latitudes are positive, South latitudes are negative
Lat and Long are in decimal degrees
Written by Chuck Gantz- chuck.gantz@globalstar.com
Outputs:
UTMzone, easting, northing"""
a = _ellipsoid[reference_ellipsoid][_equatorial_radius]
ecc_squared = _ellipsoid[reference_ellipsoid][_eccentricity_squared]
k0 = 0.9996
# Make sure the longitude is between -180.00 .. 179.9
long_temp = (lon + 180) - int((lon + 180) / 360) * 360 - 180 # -180.00 .. 179.9
lat_rad = lat * _deg2rad
long_rad = long_temp * _deg2rad
zone_number = int((long_temp + 180) / 6) + 1
if 56.0 <= lat < 64.0 and 3.0 <= long_temp < 12.0:
zone_number = 32
# Special zones for Svalbard
if 72.0 <= lat < 84.0:
if 0.0 <= long_temp < 9.0:
zone_number = 31
elif 9.0 <= long_temp < 21.0:
zone_number = 33
elif 21.0 <= long_temp < 33.0:
zone_number = 35
elif 33.0 <= long_temp < 42.0:
zone_number = 37
long_origin = (zone_number - 1) * 6 - 180 + 3 # +3 puts origin in middle of zone
long_origin_rad = long_origin * _deg2rad
# compute the UTM Zone from the latitude and longitude
utm_zone = "%d%c" % (zone_number, _utm_letter_designator(lat))
ecc_prime_squared = ecc_squared / (1 - ecc_squared)
N = a / np.sqrt(1 - ecc_squared * np.sin(lat_rad) ** 2)
T = np.tan(lat_rad) ** 2
C = ecc_prime_squared * np.cos(lat_rad) ** 2
A = np.cos(lat_rad) * (long_rad - long_origin_rad)
M = a * (
(1
- ecc_squared / 4
- 3 * ecc_squared ** 2 / 64
- 5 * ecc_squared ** 3 / 256) * lat_rad
- (3 * ecc_squared / 8
+ 3 * ecc_squared ** 2 / 32
+ 45 * ecc_squared ** 3 / 1024) * np.sin(2 * lat_rad)
+ (15 * ecc_squared ** 2 / 256
+ 45 * ecc_squared ** 3 / 1024) * np.sin(4 * lat_rad)
- (35 * ecc_squared ** 3 / 3072) * np.sin(6 * lat_rad))
utm_easting = (k0 * N * (A
+ (1 - T + C) * A ** 3 / 6
+ (5 - 18 * T
+ T ** 2
+ 72 * C
- 58 * ecc_prime_squared) * A ** 5 / 120)
+ 500000.0)
utm_northing = (k0 * (M
+ N * np.tan(lat_rad) * (A ** 2 / 2
+ (5
- T
+ 9 * C
+ 4 * C ** 2) * A ** 4 / 24
+ (61
- 58 * T
+ T ** 2
+ 600 * C
- 330 * ecc_prime_squared
) * A ** 6 / 720)))
if lat < 0:
utm_northing = utm_northing + 10000000.0 # 10000000 meter offset for southern hemisphere
return utm_zone, utm_easting, utm_northing
def _utm_letter_designator(lat):
# This routine determines the correct UTM letter designator for the given latitude
# returns 'Z' if latitude is outside the UTM limits of 84N to 80S
# Written by Chuck Gantz- chuck.gantz@globalstar.com
if 84 >= lat >= 72:
return 'X'
elif 72 > lat >= 64:
return 'W'
elif 64 > lat >= 56:
return 'V'
elif 56 > lat >= 48:
return 'U'
elif 48 > lat >= 40:
return 'T'
elif 40 > lat >= 32:
return 'S'
elif 32 > lat >= 24:
return 'R'
elif 24 > lat >= 16:
return 'Q'
elif 16 > lat >= 8:
return 'P'
elif 8 > lat >= 0:
return 'N'
elif 0 > lat >= -8:
return 'M'
elif -8 > lat >= -16:
return 'L'
elif -16 > lat >= -24:
return 'K'
elif -24 > lat >= -32:
return 'J'
elif -32 > lat >= -40:
return 'H'
elif -40 > lat >= -48:
return 'G'
elif -48 > lat >= -56:
return 'F'
elif -56 > lat >= -64:
return 'E'
elif -64 > lat >= -72:
return 'D'
elif -72 > lat >= -80:
return 'C'
else:
return 'Z' # if the Latitude is outside the UTM limits
[docs]def utm_to_ll(reference_ellipsoid, northing, easting, zone):
"""
converts UTM coords to lat/long. Equations from USGS Bulletin 1532
East Longitudes are positive, West longitudes are negative.
North latitudes are positive, South latitudes are negative
Lat and Long are in decimal degrees.
Written by Chuck Gantz- chuck.gantz@globalstar.com
Converted to Python by Russ Nelson <nelson@crynwr.com>
Outputs:
Lat,Lon
"""
k0 = 0.9996
a = _ellipsoid[reference_ellipsoid][_equatorial_radius]
ecc_squared = _ellipsoid[reference_ellipsoid][_eccentricity_squared]
e1 = (1 - np.sqrt(1 - ecc_squared)) / (1 + np.sqrt(1 - ecc_squared))
# NorthernHemisphere; //1 for northern hemispher, 0 for southern
x = easting - 500000.0 # remove 500,000 meter offset for longitude
y = northing
zone_letter = zone[-1]
zone_number = int(zone[:-1])
if zone_letter >= 'N':
NorthernHemisphere = 1 # point is in northern hemisphere
else:
NorthernHemisphere = 0 # point is in southern hemisphere
y -= 10000000.0 # remove 10,000,000 meter offset used for southern hemisphere
# +3 puts origin in middle of zone
long_origin = (zone_number - 1) * 6 - 180 + 3
ecc_prime_squared = ecc_squared / (1 - ecc_squared)
M = y / k0
mu = M / (a * (1 - ecc_squared / 4 - 3 * ecc_squared ** 2 /
64 - 5 * ecc_squared ** 3 / 256))
phi1_rad = (mu + (3 * e1 / 2 - 27 * e1 ** 3 / 32) * np.sin(2 * mu)
+ (21 * e1 ** 2 / 16 - 55 * e1 ** 4 / 32) * np.sin(4 * mu)
+ (151 * e1 ** 3 / 96) * np.sin(6 * mu))
phi1 = phi1_rad * _rad2deg
n1 = a / np.sqrt(1 - ecc_squared * np.sin(phi1_rad) ** 2)
t1 = np.tan(phi1_rad) ** 2
c1 = ecc_prime_squared * np.cos(phi1_rad) ** 2
r1 = a * (1 - ecc_squared) / np.power(1 - ecc_squared *
np.sin(phi1_rad) ** 2, 1.5)
d = x / (n1 * k0)
lat = phi1_rad - (n1 * np.tan(phi1_rad) / r1) * (
d ** 2 / 2 - (5 + 3 * t1 + 10 * c1 - 4 * c1 ** 2 - 9 * ecc_prime_squared) * d ** 4 / 24
+ (
61 + 90 * t1 + 298 * c1 + 45 * t1 ** 2 - 252 * ecc_prime_squared - 3 * c1 ** 2) * d ** 6 / 720)
lat = lat * _rad2deg
lon = (d - (1 + 2 * t1 + c1) * d ** 3 / 6 + (
5 - 2 * c1 + 28 * t1 - 3 * c1 ** 2 + 8 * ecc_prime_squared + 24 * t1 ** 2)
* d ** 5 / 120) / np.cos(phi1_rad)
lon = long_origin + lon * _rad2deg
return lat, lon
# http://spatialreference.org/ref/epsg/28350/proj4/
epsg_dict = {28350: ['+proj=utm +zone=50 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 50],
28351: ['+proj=utm +zone=51 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 51],
28352: ['+proj=utm +zone=52 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 52],
28353: ['+proj=utm +zone=53 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 53],
28354: ['+proj=utm +zone=54 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 54],
28355: ['+proj=utm +zone=55 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 55],
28356: ['+proj=utm +zone=56 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs', 56],
3112: [
'+proj=lcc +lat_1=-18 +lat_2=-36 +lat_0=0 +lon_0=134 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs',
0],
4326: ['+proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs', 0],
32609: ['+proj=utm +zone=9 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 9],
32610: ['+proj=utm +zone=10 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 10],
32611: ['+proj=utm +zone=11 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 11],
32612: ['+proj=utm +zone=12 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 12],
32613: ['+proj=utm +zone=13 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 13],
32614: ['+proj=utm +zone=14 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 14],
32615: ['+proj=utm +zone=15 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 15],
32616: ['+proj=utm +zone=16 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 16],
32617: ['+proj=utm +zone=17 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 17],
32618: ['+proj=utm +zone=18 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 18],
32619: ['+proj=utm +zone=19 +ellps=WGS84 +datum=WGS84 +units=m +no_defs', 19]
}
[docs]def epsg_project(x, y, epsg_from, epsg_to):
"""
project some xy points using the pyproj modules
"""
try:
import pyproj
except ImportError:
print("please install pyproj")
return
if epsg_from is not None:
try:
p1 = pyproj.Proj(EPSG_DICT[epsg_from])
p2 = pyproj.Proj(EPSG_DICT[epsg_to])
except KeyError:
print("Surface or data epsg either not in dictionary or None")
return
return pyproj.transform(p1, p2, x, y)
[docs]def utm_wgs84_conv(lat, lon):
"""
Bidirectional UTM-WGS84 converter https://github.com/Turbo87/utm/blob/master/utm/conversion.py
:param lat:
:param lon:
:return: tuple(e, n, zone, lett)
"""
import utm # pip install utm
tup = utm.from_latlon(lat, lon)
(new_lat, new_lon) = utm.to_latlon(tup[0], tup[1], tup[2], tup[3])
# print (new_lat,new_lon) # should be same as the input param
# checking correctess
if abs(lat - new_lat) > 1.0 * np.e - 10:
print("Warning: lat and new_lat should be equal!")
if abs(lon - new_lon) > 1.0 * np.e - 10:
print("Warning: lon and new_lon should be equal!")
return tup
@gdal_data_check
@deprecated("This function may be removed in later release."
" watex.utils.gistools.project_point_utm2ll() should be "
"used instead.")
def transform_utm_to_ll(easting, northing, zone,
reference_ellipsoid='WGS84'):
utm_coordinate_system = osr.SpatialReference()
# Set geographic coordinate system to handle lat/lon
utm_coordinate_system.SetWellKnownGeogCS(reference_ellipsoid)
try:
zone_number = int(zone[0:-1])
zone_letter = zone[-1]
except ValueError:
raise ValueError('Zone number {0} is not a number'.format(zone[0:-1]))
is_northern = True if zone_letter.lower() >= 'n' else False
utm_coordinate_system.SetUTM(zone_number, is_northern)
# Clone ONLY the geographic coordinate system
ll_coordinate_system = utm_coordinate_system.CloneGeogCS()
# create transform component
utm_to_ll_geo_transform = osr.CoordinateTransformation(utm_coordinate_system,
ll_coordinate_system)
# returns lon, lat, altitude
return utm_to_ll_geo_transform.TransformPoint(easting, northing, 0)
@gdal_data_check
@deprecated("This function may be removed in later release. "
"watex.utils.gistools.project_point_ll2utm() should be "
"used instead.")
def transform_ll_to_utm(lon, lat, reference_ellipsoid='WGS84'):
"""
transform a (lon,lat) to a UTM coordinate.
The UTM zone number will be determined by longitude. South-North will be determined by Lat.
:param lon: degree
:param lat: degree
:param reference_ellipsoid:
:return: utm_coordinate_system, utm_point
"""
def get_utm_zone(longitude):
return (int(1 + (longitude + 180.0) / 6.0))
def is_northern(latitude):
"""
Determines if given latitude is a northern for UTM
"""
# if (latitude < 0.0):
# return 0
# else:
# return 1
return latitude >= 0
utm_coordinate_system = osr.SpatialReference()
# Set geographic coordinate system to handle lat/lon
utm_coordinate_system.SetWellKnownGeogCS(reference_ellipsoid)
utm_coordinate_system.SetUTM(get_utm_zone(lon), is_northern(lat))
# Clone ONLY the geographic coordinate system
ll_coordinate_system = utm_coordinate_system.CloneGeogCS()
# create transform component
ll_to_utm_geo_transform = osr.CoordinateTransformation(ll_coordinate_system,
utm_coordinate_system)
utm_point = ll_to_utm_geo_transform.TransformPoint(lon, lat, 0)
# returns easting, northing, altitude
return utm_coordinate_system, utm_point
#################################################################
# Example usages of this script/module
# python gis_tools.py
#=================================================================
if __name__ == "__main__":
mylat=-35.0
mylon=149.5
utm = project_point_ll2utm(mylat, mylon)
print ("project_point_ll2utm(mylat, mylon) =: ", utm)
if HAS_GDAL:
utm2 = transform_ll_to_utm(mylon, mylat)
print ("The transform_ll_to_utm(mylon, mylat) results lat, long, elev =: ", utm2[1])
spref_obj=utm2[0]
print("The spatial ref string =:", str(spref_obj))
print("The spatial ref WKT format =:", spref_obj.ExportToWkt())
print("********* Details of the spatial reference object ***************")
print ("spref.GetAttrValue('projcs')", spref_obj.GetAttrValue('projcs'))
print( "spref.GetUTMZone()", spref_obj.GetUTMZone())
# end if