#acl AdminGroup:read,write EditorGroup:read All:read #format wiki #language en #pragma section-numbers off {{{#!python from numpy import * # Polar stereographic (NSDIDC grid) def mapxy(x, y, sgn): cdr = 57.29577951 slat = 70.0 re = 6378.273 ec2 = .006693883 ec = sqrt(ec2) if sgn == 1: delta = 45.0 else: delta = 0.0 sl = slat * pi/180.0 rho = sqrt(x**2 + y**2) cm = cos(sl) / sqrt(1.0 - ec2 * (sin(sl)**2)) t = tan((pi / 4.0) - (sl / 2.0)) / ((1.0 - ec * sin(sl)) / (1.0 + ec * sin(sl)))**(ec / 2.0) if (absolute(slat-90.0) < 1.e-5): t = rho * sqrt((1. + ec)**(1. + ec) * (1. - ec)**(1. - ec)) / 2. / re else: t = rho * t / (re * cm) chi = (pi / 2.0) - 2.0 * arctan(t) alat = chi + ((ec2 / 2.0) + (5.0 * ec2**2.0 / 24.0) + (ec2**3.0 / 12.0)) * sin(2 * chi) + ((7.0 * ec2**2.0 / 48.0) + (29.0 * ec2**3 / 240.0)) *sin(4.0 * chi)+ (7.0 * ec2**3.0 / 120.0) * sin(6.0 * chi) alat = sgn * alat along = arctan2(sgn * x, -sgn * y) along = sgn * along along = along * 180. / pi alat = alat * 180. / pi along = along - delta return [alat,along] def mapll(lat, lon,sgn): cdr = 57.29577951 slat = 70. re = 6378.273 ec2 = .006693883 ec = sqrt(ec2) if sgn == 1: delta = 45.0 else: delta = 0.0 latitude = absolute(lat) * pi/180. longitude = (lon + delta) * pi/180. t = tan(pi/4-latitude/2)/((1-ec*sin(latitude))/(1+ec*sin(latitude)))**(ec/2) if ((90-slat) < 1.e-5): rho = 2.*re*t/sqrt((1.+ec)**(1.+ec)*(1.-ec)**(1.-ec)) else: sl = slat*pi/180. tc = tan(pi/4.-sl/2.)/((1.-ec*sin(sl))/(1.+ec*sin(sl)))**(ec/2.) mc = cos(sl)/sqrt(1.0-ec2*(sin(sl)**2)) rho = re*mc*t/tc y=-rho*sgn*cos(sgn*longitude) x= rho*sgn*sin(sgn*longitude) return [x,y] }}}