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triangular.py
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triangular.py
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# -*- coding: utf-8 -*-
"""
Created on Fri Apr 29 17:30:39 2022
@author: MSA
"""
import math
from math import radians, degrees, cos, sin, asin, sqrt, pi, atan2
from pyproj import Proj
# import simplekml
class array:
def cartesian(east, north, azi, a):
"""
Parameters
----------
east : UTM
north : UTM
azi : Degree
a : Edge distance (m)
Returns
-------
Add UTM Coordinates to Cartesian Values
"""
r = a/sqrt(3) # Radius of triangular
# Cartesian Coordinate
M_0 = [0, 0]
M_1 = [math.sin(radians(0 +azi)) * r, math.cos(radians(0 +azi)) * r]
M_2 = [math.sin(radians(120+azi)) * r, math.cos(radians(120+azi)) * r]
M_3 = [math.sin(radians(240+azi)) * r, math.cos(radians(240+azi)) * r]
M_4 = [math.sin(radians(60 +azi)) * r/2, math.cos(radians(60 +azi)) * r/2]
M_5 = [math.sin(radians(180+azi)) * r/2, math.cos(radians(180+azi)) * r/2]
M_6 = [math.sin(radians(300+azi)) * r/2, math.cos(radians(300+azi)) * r/2]
# Add utm values to cartesian
N_0 = [M_0[0]+east, M_0[1]+north]
N_1 = [M_1[0]+east, M_1[1]+north]
N_2 = [M_2[0]+east, M_2[1]+north]
N_3 = [M_3[0]+east, M_3[1]+north]
N_4 = [M_4[0]+east, M_4[1]+north]
N_5 = [M_5[0]+east, M_5[1]+north]
N_6 = [M_6[0]+east, M_6[1]+north]
return N_0, N_1, N_2, N_3, N_4, N_5, N_6
def next_point(lon, lat, br, d):
"""
Known using Degree point, bearing and distance to calculate another point
lat = Latitude (Decimal Degree)
Lon = Longitude (Decimal Degree)
br = Bearing (Angle degree between two points)
d = Distance in km
"""
R = 6378.1 #Radius of the Earth by IERS(2003)
lat1, lon1, brng = map(radians, [lat, lon, br]) #Current lat,lon,br converted to radians
lat2 = math.asin( math.sin(lat1) * math.cos(d/R) +
math.cos(lat1) * math.sin(d/R) * math.cos(brng))
lon2 = lon1 + math.atan2(math.sin(brng) * math.sin(d/R) * math.cos(lat1),
math.cos(d/R) - math.sin(lat1) * math.sin(lat2))
lat2, lon2 = map(degrees, [lat2, lon2]) #converted to degrees
return lat2, lon2
def distance(lat1, lon1, lat2, lon2):
"""
Parameters
----------
lat1 : First point latitude
lon1 : First point Longitude
lat2 : Second point Latitude
lon2 : Second point Longtude
All Coordinates types are Decimal Degreee (ex. 20.123, 30.123)
Returns
-------
Distance between points in km
"""
lat1, lon1, lat2, lon2 = map(radians, [lat1, lon1, lat2, lon2])
# Haversine formula
dlon = lon2 - lon1
dlat = lat2 - lat1
a = sin(dlat / 2)**2 + cos(lat1) * cos(lat2) * sin(dlon / 2)**2
c = 2 * asin(sqrt(a))
# Radius of earth in kilometers. Use 3956 for miles
r = 6371
return(c * r)
def haversine(lat1, lon1, lat2, lon2):
# distance between latitudes and longitudes
dLat = (lat2 - lat1) * math.pi / 180.0
dLon = (lon2 - lon1) * math.pi / 180.0
# convert to radians
lat1 = (lat1) * math.pi / 180.0
lat2 = (lat2) * math.pi / 180.0
# apply formulae
a = (pow(math.sin(dLat / 2), 2) +
pow(math.sin(dLon / 2), 2) *
math.cos(lat1) * math.cos(lat2));
r = 6371
c = 2 * math.asin(math.sqrt(a))
return r * c
def rotated_grid_transform(grid_in, option, SP_coor):
"""https://gis.stackexchange.com/questions/10808/manually-transforming-rotated-lat-lon-to-regular-lat-lon?rq=1"""
lon = grid_in[0]
lat = grid_in[1];
lon = (lon*pi)/180; # Convert degrees to radians
lat = (lat*pi)/180;
SP_lon = SP_coor[0];
SP_lat = SP_coor[1];
theta = 90+SP_lat; # Rotation around y-axis
phi = SP_lon; # Rotation around z-axis
theta = (theta*pi)/180;
phi = (phi*pi)/180; # Convert degrees to radians
x = cos(lon)*cos(lat); # Convert from spherical to cartesian coordinates
y = sin(lon)*cos(lat);
z = sin(lat);
if option == 1: # Regular -> Rotated
x_new = cos(theta)*cos(phi)*x + cos(theta)*sin(phi)*y + sin(theta)*z;
y_new = -sin(phi)*x + cos(phi)*y;
z_new = -sin(theta)*cos(phi)*x - sin(theta)*sin(phi)*y + cos(theta)*z;
else: # Rotated -> Regular
phi = -phi;
theta = -theta;
x_new = cos(theta)*cos(phi)*x + sin(phi)*y + sin(theta)*cos(phi)*z;
y_new = -cos(theta)*sin(phi)*x + cos(phi)*y - sin(theta)*sin(phi)*z;
z_new = -sin(theta)*x + cos(theta)*z;
lon_new = atan2(y_new,x_new); # Convert cartesian back to spherical coordinates
lat_new = asin(z_new);
lon_new = (lon_new*180)/pi; # Convert radians back to degrees
lat_new = (lat_new*180)/pi;
print (lon_new,lat_new)
class convert:
def dokml():
return
def deg2utm(lat, lon):
##Compute UTM zone
#"int": Extract only integer value
#31: Offset for UTM zone definition
#6: Angle in a UTM zone for the longitude direction
e2u_zone=int(divmod(lon, 6)[0])+31
#Define EQA2UTM converter
e2u_conv=Proj(proj='utm', zone=e2u_zone, ellps='WGS84')
#Apply the converter
utmx, utmy=e2u_conv(lon, lat)
#Add offset if the point in the southern hemisphere
if lat<0:
utmy=utmy+10000000
print(" UTM zone is ", e2u_zone, " \n", \
"UTM Easting is", utmx, "[m]\n",\
"UTM Northing is ", utmy, "[m]")
return utmx, utmy
def utm2deg(e2u_zone, hemi, utmx, utmy):
#Add offset if the point in the southern hemisphere
if hemi=='S':
utmy=utmy-10000000
#Define coordinate converter
e2u_conv=Proj(proj='utm', zone=e2u_zone, ellps='WGS84')
#Convert UTM2EQA
lon, lat=e2u_conv(utmx, utmy, inverse=True)
print("Longitude is ",lon," [deg.] \n",\
"Latitude is ", lat, "[deg.]")
return lat, lon
# =============================================================================
# def deneme(lat1, lon1, distKm):
#
# c=print(lat1, lon1) #center
# n=print(geodesic(kilometers=distKm).destination(Point(lat1, lon1), 0).format_decimal()) #north
# e=print(geodesic(kilometers=distKm).destination(Point(lat1, lon1), 90).format_decimal()) #east
# s=print(geodesic(kilometers=distKm).destination(Point(lat1, lon1), 180).format_decimal())#south
# w=print(geodesic(kilometers=distKm).destination(Point(lat1, lon1), 270).format_decimal())#west
#
# return n,e,s,w
#
# points1=[]
# z= deneme(c_lat, c_lon, d)
# points1.append(z)
# =============================================================================
# =============================================================================
# class array:
# R = 6378.1
#
# def __init__(self, lat, lon, azi, r):
# self.lat = lat
# self.lon = lon
# self.azi = azi
# self.r = r
#
# def show(self):
# brng_deg = math.radians(self.azi)
# brng = brng_deg #Bearing is 90 degrees converted to radians.
#
# # lat1 = math.radians(lat) #Current lat point converted to radians
# # lon1 = math.radians(lon) #Current long point converted to radians
# lat1, lon1 = map(radians, [self.lat, self.lon]) #Current lat,lon converted to radians
# lat2 = math.asin( math.sin(lat1)*math.cos(self.r/array.R) +
# math.cos(lat1)*math.sin(self.r/array.R)*math.cos(brng))
# lon2 = lon1 + math.atan2(math.sin(brng)*math.sin(self.r/array.R)*math.cos(lat1),
# math.cos(self.r/array.R)-math.sin(lat1)*math.sin(lat2))
# # lat2 = math.degrees(lat2)
# # lon2 = math.degrees(lon2)
# lat2, lon2 = map(degrees, [lat2, lon2]) #converted to degrees
# return lat2, lon2
#
# s1= array(-34.047190, 18.390146, 62.29, 0.16)
# s1 = array.show()
#
# =============================================================================