#
# BaseMap example by geophysique.be
# tutorial 09
from mpl_toolkits.basemap import Basemap
import matplotlib.pyplot as plt
import numpy as np
### PARAMETERS FOR MATPLOTLIB :
import matplotlib as mpl
mpl.rcParams['font.size'] = 10.
mpl.rcParams['font.family'] = 'Comic Sans MS'
mpl.rcParams['axes.labelsize'] = 8.
mpl.rcParams['xtick.labelsize'] = 6.
mpl.rcParams['ytick.labelsize'] = 6.
def shoot(lon, lat, azimuth, maxdist=None):
"""Shooter Function
Original javascript on http://williams.best.vwh.net/gccalc.htm
Translated to python by Thomas Lecocq
"""
glat1 = lat * np.pi / 180.
glon1 = lon * np.pi / 180.
s = maxdist / 1.852
faz = azimuth * np.pi / 180.
EPS= 0.00000000005
if ((np.abs(np.cos(glat1))<EPS) and not (np.abs(np.sin(faz))<EPS)):
alert("Only N-S courses are meaningful, starting at a pole!")
a=6378.13/1.852
f=1/298.257223563
r = 1 - f
tu = r * np.tan(glat1)
sf = np.sin(faz)
cf = np.cos(faz)
if (cf==0):
b=0.
else:
b=2. * np.arctan2 (tu, cf)
cu = 1. / np.sqrt(1 + tu * tu)
su = tu * cu
sa = cu * sf
c2a = 1 - sa * sa
x = 1. + np.sqrt(1. + c2a * (1. / (r * r) - 1.))
x = (x - 2.) / x
c = 1. - x
c = (x * x / 4. + 1.) / c
d = (0.375 * x * x - 1.) * x
tu = s / (r * a * c)
y = tu
c = y + 1
while (np.abs (y - c) > EPS):
sy = np.sin(y)
cy = np.cos(y)
cz = np.cos(b + y)
e = 2. * cz * cz - 1.
c = y
x = e * cy
y = e + e - 1.
y = (((sy * sy * 4. - 3.) * y * cz * d / 6. + x) *
d / 4. - cz) * sy * d + tu
b = cu * cy * cf - su * sy
c = r * np.sqrt(sa * sa + b * b)
d = su * cy + cu * sy * cf
glat2 = (np.arctan2(d, c) + np.pi) % (2*np.pi) - np.pi
c = cu * cy - su * sy * cf
x = np.arctan2(sy * sf, c)
c = ((-3. * c2a + 4.) * f + 4.) * c2a * f / 16.
d = ((e * cy * c + cz) * sy * c + y) * sa
glon2 = ((glon1 + x - (1. - c) * d * f + np.pi) % (2*np.pi)) - np.pi
baz = (np.arctan2(sa, b) + np.pi) % (2 * np.pi)
glon2 *= 180./np.pi
glat2 *= 180./np.pi
baz *= 180./np.pi
return (glon2, glat2, baz)
def equi(m, centerlon, centerlat, radius, *args, **kwargs):
glon1 = centerlon
glat1 = centerlat
X = []
Y = []
for azimuth in range(0, 360):
glon2, glat2, baz = shoot(glon1, glat1, azimuth, radius)
X.append(glon2)
Y.append(glat2)
X.append(X[0])
Y.append(Y[0])
#~ m.plot(X,Y,**kwargs) #Should work, but doesn't...
X,Y = m(X,Y)
plt.plot(X,Y,**kwargs)
fig = plt.figure(figsize=(11.7,8.3))
#Custom adjust of the subplots
plt.subplots_adjust(left=0.05,right=0.95,top=0.90,bottom=0.05,wspace=0.15,hspace=0.05)
ax = plt.subplot(111)
#Let's create a basemap of the world
m = Basemap(resolution='l',projection='robin',lon_0=0)
m.drawcountries()
m.drawcoastlines()
m.fillcontinents(color='grey',lake_color='white')
m.drawparallels(np.arange(-90.,120.,30.))
m.drawmeridians(np.arange(0.,360.,60.))
m.drawmapboundary(fill_color='white')
radii = [500,1000,2000,3000,4000]
# Set number 1:
centerlon = 4.360515
centerlat = 50.79747
for radius in radii:
equi(m, centerlon, centerlat, radius,lw=2.)
# Set number 2:
centerlon = -64.360515
centerlat = -30.79747
for radius in radii:
equi(m, centerlon, centerlat, radius,lw=2.)
# Set number 3:
centerlon = 104.360515
centerlat = -40.79747
for radius in radii:
equi(m, centerlon, centerlat, radius,lw=2.)
plt.savefig('tutorial09.png',dpi=300)
plt.show()
参考:
1.http://www.geophysique.be/2011/02/20/matplotlib-basemap-tutorial-09-drawing-circles/