def print_low_accuracy():
'''
xyp -> latlon -> xyp: low accuracy
'''
from cs_ll import latlon2xyp, xyp2latlon
from cart_ll import latlon2xyz, xyz2latlon
from cart_cs import xyp2xyz, xyz2xyp
#------------------------------------------------
# at the panel border, low_accuracy
#------------------------------------------------
xyp1 = (-0.57735026918962606, -0.53747283769483301, 1)
xyp2 = (-0.57735026918962495, -0.53747283769483301, 1)
latlon1 = xyp2latlon(*xyp1)
latlon2 = xyp2latlon(*xyp2)
xyp1_dict = latlon2xyp( *xyp2latlon(*xyp1) )
xyp2_dict = latlon2xyp( *xyp2latlon(*xyp2) )
print('')
print(repr(latlon1))
print(repr(latlon2))
print(repr(xyp1_dict[1]))
print(repr(xyp2_dict[1]))
#a_equal(xyp1_dict.keys(), [1,4])
#a_equal(xyp2_dict.keys(), [1,4])
xyz1 = xyp2xyz(*xyp1)
xyz2 = xyp2xyz(*xyp2)
xyp1_list = xyz2xyp(*xyz1)
xyp2_list = xyz2xyp(*xyz2)
print('')
print(repr(xyz1))
print(repr(xyz2))
print(repr(xyp1_dict[1]), xyp1_dict.keys())
print(repr(xyp2_dict[1]), xyp1_dict.keys())
a = 1/np.sqrt(3)
at1, at2 = a*np.tan(-np.pi/4), a*np.tan(np.pi/4)
print('')
print(repr(at1), repr(at2))
def latlon2xyp(lat, lon, rotate_lat=RLAT, rotate_lon=RLON, R=1):
"""
(x,y,panel): gnomonic projection of rotated cubed-sphere coordinates
with (rotate_lat, rorate_lon)
return {panel:(x,y), ...}
"""
xyz = latlon2xyz(lat, lon, R)
xr, yr, zr = xyz_rotate(xyz, rotate_lat, rotate_lon)
xyp_dict = xyz2xyp(xr, yr, zr)
return xyp_dict
def test_xyp2xyz_xyz2xyp():
'''
xyp2xyz() -> xyz2xyp() : check consistency, repeat 1000 times
'''
from cart_cs import xyp2xyz, xyz2xyp
N = 1000
R = 1
a = R/sqrt(3)
for i in xrange(N):
panel = randint(1,7)
alpha, beta = (pi/2)*rand(2) - pi/4
x, y = a*tan(alpha), a*tan(beta)
(X, Y, Z) = xyp2xyz(x, y, panel)
xyp_dict = xyz2xyp(X,Y,Z)
aa_equal((x,y), xyp_dict[panel], 15)
def test_xyz2xyp():
'''
xyz2xyp(): center of panel, at panel border
'''
from cart_cs import xyz2xyp
R = 1
a = R/sqrt(3)
#------------------------------------------------
# center of panel
#------------------------------------------------
xyp_dict = xyz2xyp(1, 0, 0)
a_equal(xyp_dict, {1:(0.0,0)})
xyp_dict = xyz2xyp(0, 1, 0)
a_equal(xyp_dict, {2:(0,0)})
xyp_dict = xyz2xyp(-1, 0, 0)
a_equal(xyp_dict, {3:(0,0)})
xyp_dict = xyz2xyp(0, -1, 0)
a_equal(xyp_dict, {4:(0,0)})
xyp_dict = xyz2xyp(0, 0, -1)
a_equal(xyp_dict, {5:(0,0)})
xyp_dict = xyz2xyp(0, 0, 1)
a_equal(xyp_dict, {6:(0,0)})
#------------------------------------------------
# at the panel border
#------------------------------------------------
alpha = pi/4
at = a*tan(alpha)
xyp_dict = xyz2xyp(R*cos(alpha), R*sin(alpha), 0)
a_equal(xyp_dict.keys(), [1,2])
aa_equal(xyp_dict.values(), [(at,0), (-at,0)], 15)
xyp_dict = xyz2xyp(-R*sin(alpha), R*cos(alpha), 0)
a_equal(xyp_dict.keys(), [2,3])
aa_equal(xyp_dict.values(), [(at,0), (-at,0)], 15)
xyp_dict = xyz2xyp(-R*cos(alpha), -R*sin(alpha), 0)
a_equal(xyp_dict.keys(), [3,4])
aa_equal(xyp_dict.values(), [(at,0), (-at,0)], 15)
xyp_dict = xyz2xyp(R*sin(alpha), -R*cos(alpha), 0)
a_equal(xyp_dict.keys(), [1,4])
aa_equal(xyp_dict.values(), [(-at,0), (at,0)], 15)
xyp_dict = xyz2xyp(0, R*sin(alpha), -R*cos(alpha))
a_equal(xyp_dict.keys(), [2,5])
aa_equal(xyp_dict.values(), [(0,-at), (at,0)], 15)
xyp_dict = xyz2xyp(0, R*sin(alpha), R*cos(alpha))
a_equal(xyp_dict.keys(), [2,6])
aa_equal(xyp_dict.values(), [(0,at), (at,0)], 15)