================================================================================
HEALPix forward projection, ellipsoid with major radius a = 5 and eccentricity e = 0.8
input (radians) / expected output (meters) / received output
================================================================================
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-10.183475346162739, 6.788983564108493) (-10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-10.183475346162739, -6.788983564108493) (-10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
================================================================================
HEALPix inverse projection, ellipsoid with major radius a = 5 and eccentricity e = 0.8
input (meters) / expected output (radians) / received output
================================================================================
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)

================================================================================
HEALPix forward projection, sphere with radius R = 5
input (radians) / expected output (meters) / received output
================================================================================
(0, 0) (0, 0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 3.9269908169872414) (0.0, 3.9269908169872414)
(0, -0.72972765622696634) (0.0, -3.9269908169872414) (0.0, -3.9269908169872414)
(1.5707963267948966, 0) (7.8539816339744828, 0.0) (7.853981633974483, 0.0)
(-1.5707963267948966, 0) (-7.8539816339744828, 0.0) (-7.853981633974483, 0.0)
(-3.141592653589793, 0) (-15.707963267948966, 0.0) (-15.707963267948966, 0.0)
(-3.141592653589793, 1.5707963267948966) (-11.780972450961723, 7.8539816339744828) (-11.780972450961723, 7.853981633974483)
(-3.141592653589793, -1.5707963267948966) (-11.780972450961723, -7.8539816339744828) (-11.780972450961723, -7.853981633974483)
(0, 1.0471975511965976) (1.4373783994455378, 5.3643692164327792) (1.437378399445537, 5.364369216432778)
(0, -1.0471975511965976) (1.4373783994455378, -5.3643692164327792) (1.437378399445537, -5.364369216432778)
================================================================================
HEALPix inverse projection, sphere with radius R = 5
input (meters) / expected output (radians) / received output
================================================================================
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
================================================================================
rHEALPix forward projection, ellipsoid with major radius a = 5 and eccentricity e = 0.8
input (radians) / expected output (meters) / received output
================================================================================
_____ north_square = 0, south_square = 0
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-10.183475346162739, 6.788983564108493) (-10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-10.183475346162739, -6.788983564108493) (-10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 0, south_square = 1
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-10.183475346162739, 6.788983564108493) (-10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-3.3944917820542466, -6.788983564108493) (-3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 0, south_square = 2
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-10.183475346162739, 6.788983564108493) (-10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (3.3944917820542466, -6.788983564108493) (3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 0, south_square = 3
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-10.183475346162739, 6.788983564108493) (-10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (10.183475346162739, -6.788983564108493) (10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 1, south_square = 0
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-3.3944917820542466, 6.788983564108493) (-3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-10.183475346162739, -6.788983564108493) (-10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 1, south_square = 1
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-3.3944917820542466, 6.788983564108493) (-3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-3.3944917820542466, -6.788983564108493) (-3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 1, south_square = 2
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-3.3944917820542466, 6.788983564108493) (-3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (3.3944917820542466, -6.788983564108493) (3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 1, south_square = 3
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (-3.3944917820542466, 6.788983564108493) (-3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (10.183475346162739, -6.788983564108493) (10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 2, south_square = 0
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (3.3944917820542466, 6.788983564108493) (3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-10.183475346162739, -6.788983564108493) (-10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 2, south_square = 1
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (3.3944917820542466, 6.788983564108493) (3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-3.3944917820542466, -6.788983564108493) (-3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 2, south_square = 2
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (3.3944917820542466, 6.788983564108493) (3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (3.3944917820542466, -6.788983564108493) (3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 2, south_square = 3
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (3.3944917820542466, 6.788983564108493) (3.394491782053373, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (10.183475346162739, -6.788983564108493) (10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 3, south_square = 0
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (10.183475346162739, 6.788983564108493) (10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-10.183475346162739, -6.788983564108493) (-10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 3, south_square = 1
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (10.183475346162739, 6.788983564108493) (10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (-3.3944917820542466, -6.788983564108493) (-3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 3, south_square = 2
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (10.183475346162739, 6.788983564108493) (10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (3.3944917820542466, -6.788983564108493) (3.394491782053373, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
_____ north_square = 3, south_square = 3
(0, 0) (0.0, 0.0) (0.0, 0.0)
(0, 0.72972765622696634) (0.0, 2.05478742221527) (0.0, 2.0547874222147415)
(0, -0.72972765622696634) (0.0, -2.05478742221527) (0.0, -2.0547874222147415)
(1.5707963267948966, 0) (6.788983564108493, 0.0) (6.788983564106746, 0.0)
(-1.5707963267948966, 0) (-6.788983564108493, 0.0) (-6.788983564106746, 0.0)
(-3.141592653589793, 0) (-13.577967128216986, 0.0) (-13.577967128213492, 0.0)
(-3.141592653589793, 1.5707963267948966) (10.183475346162739, 6.788983564108493) (10.183475346160119, 6.788983564106746)
(-3.141592653589793, -1.5707963267948966) (10.183475346162739, -6.788983564108493) (10.183475346160119, -6.788983564106746)
(0, 1.0471975511965976) (0.0, 3.351278550178888) (0.0, 3.351278550178025)
(0, -1.0471975511965976) (0.0, -3.351278550178888) (0.0, -3.351278550178025)
================================================================================
HEALPix inverse projection, ellipsoid with major radius a = 5 and eccentricity e = 0.8
input (meters) / expected output (radians) / received output
================================================================================
_____ north_square = 0, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 0, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 0, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 0, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 1, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 1, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 1, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 1, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 2, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 2, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 2, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 2, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.394491782053373, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 3, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 3, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 3, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.394491782053373, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
_____ north_square = 3, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 2.0547874222147415) (0, 0.72972765622696634) (0.0, 0.6909427887825326)
(0.0, -2.0547874222147415) (0, -0.72972765622696634) (0.0, -0.6909427887825326)
(6.788983564106746, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-6.788983564106746, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-13.577967128213492, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(10.183475346160119, 6.788983564106746) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(10.183475346160119, -6.788983564106746) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(0.0, 3.351278550178025) (0, 1.0471975511965976) (0.0, 1.0338702733640164)
(0.0, -3.351278550178025) (0, -1.0471975511965976) (0.0, -1.0338702733640164)
================================================================================
rHEALPix forward projection, sphere of radius R = 5
input (radians) / expected output (meters) / received output
================================================================================
_____ north_square = 0, south_square = 0
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 0, south_square = 1
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 0, south_square = 2
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 0, south_square = 3
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 1, south_square = 0
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 1, south_square = 1
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 1, south_square = 2
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 1, south_square = 3
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 2, south_square = 0
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 2, south_square = 1
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 2, south_square = 2
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 2, south_square = 3
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 3, south_square = 0
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 3, south_square = 1
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 3, south_square = 2
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 3, south_square = 3
(-3.141592653589793, 0.5235987755982988) (-15.707963267948966, 2.9452431127404304) (-15.707963267948966, 2.9452431127404304)
(-3.141592653589793, -0.4487989505128276) (-15.707963267948966, -2.555786188732108) (-15.707963267948966, -2.555786188732108)
(0, 0) (0.0, 0.0) (0.0, 0.0)
(1.0471975511965976, 0.72872765622696634) (5.235987755982988, 3.9225983450168473) (5.235987755982988, 3.9225983450168473)
_____ north_square = 0, south_square = 0
(-2.356194490192345, 1.019510728362366) (-11.780972450961723, 5.2359877559829879) (-11.780972450961723, 5.23598775598299)
(-0.7853981633974483, 1.019510728362366) (-9.1629785729702302, 7.8539816339744828) (-9.16297857297023, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (-11.780972450961723, 10.471975511965976) (-11.780972450961723, 10.471975511965976)
(2.356194490192345, 1.019510728362366) (-14.398966328953218, 7.8539816339744828) (-14.398966328953218, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (-11.780972450961723, -5.2359877559829879) (-11.780972450961723, -5.23598775598299)
(-0.7853981633974483, -1.019510728362366) (-9.1629785729702302, -7.8539816339744828) (-9.16297857297023, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (-11.780972450961723, -10.471975511965976) (-11.780972450961723, -10.471975511965976)
(2.356194490192345, -1.019510728362366) (-14.398966328953218, -7.8539816339744828) (-14.398966328953218, -7.853981633974483)
_____ north_square = 0, south_square = 1
(-2.356194490192345, 1.019510728362366) (-11.780972450961723, 5.2359877559829879) (-11.780972450961723, 5.23598775598299)
(-0.7853981633974483, 1.019510728362366) (-9.1629785729702302, 7.8539816339744828) (-9.16297857297023, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (-11.780972450961723, 10.471975511965976) (-11.780972450961723, 10.471975511965976)
(2.356194490192345, 1.019510728362366) (-14.398966328953218, 7.8539816339744828) (-14.398966328953218, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (-6.5449846949787363, -7.8539816339744828) (-6.544984694978735, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (-3.9269908169872414, -5.2359877559829879) (-3.9269908169872414, -5.23598775598299)
(0.7853981633974483, -1.019510728362366) (-1.308996938995747, -7.8539816339744828) (-1.3089969389957479, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (-3.9269908169872414, -10.471975511965976) (-3.9269908169872414, -10.471975511965976)
_____ north_square = 0, south_square = 2
(-2.356194490192345, 1.019510728362366) (-11.780972450961723, 5.2359877559829879) (-11.780972450961723, 5.23598775598299)
(-0.7853981633974483, 1.019510728362366) (-9.1629785729702302, 7.8539816339744828) (-9.16297857297023, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (-11.780972450961723, 10.471975511965976) (-11.780972450961723, 10.471975511965976)
(2.356194490192345, 1.019510728362366) (-14.398966328953218, 7.8539816339744828) (-14.398966328953218, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (3.9269908169872414, -10.471975511965976) (3.9269908169872414, -10.471975511965976)
(-0.7853981633974483, -1.019510728362366) (1.308996938995747, -7.8539816339744828) (1.3089969389957479, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (3.9269908169872414, -5.2359877559829879) (3.9269908169872414, -5.23598775598299)
(2.356194490192345, -1.019510728362366) (6.5449846949787363, -7.8539816339744828) (6.544984694978735, -7.853981633974483)
_____ north_square = 0, south_square = 3
(-2.356194490192345, 1.019510728362366) (-11.780972450961723, 5.2359877559829879) (-11.780972450961723, 5.23598775598299)
(-0.7853981633974483, 1.019510728362366) (-9.1629785729702302, 7.8539816339744828) (-9.16297857297023, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (-11.780972450961723, 10.471975511965976) (-11.780972450961723, 10.471975511965976)
(2.356194490192345, 1.019510728362366) (-14.398966328953218, 7.8539816339744828) (-14.398966328953218, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (14.398966328953218, -7.8539816339744828) (14.398966328953218, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (11.780972450961723, -10.471975511965976) (11.780972450961723, -10.471975511965976)
(0.7853981633974483, -1.019510728362366) (9.1629785729702302, -7.8539816339744828) (9.16297857297023, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (11.780972450961723, -5.2359877559829879) (11.780972450961723, -5.23598775598299)
_____ north_square = 1, south_square = 0
(-2.356194490192345, 1.019510728362366) (-6.5449846949787363, 7.8539816339744828) (-6.544984694978735, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (-3.9269908169872414, 5.2359877559829879) (-3.9269908169872414, 5.23598775598299)
(0.7853981633974483, 1.019510728362366) (-1.308996938995747, 7.8539816339744828) (-1.3089969389957479, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (-3.9269908169872414, 10.471975511965976) (-3.9269908169872414, 10.471975511965976)
(-2.356194490192345, -1.019510728362366) (-11.780972450961723, -5.2359877559829879) (-11.780972450961723, -5.23598775598299)
(-0.7853981633974483, -1.019510728362366) (-9.1629785729702302, -7.8539816339744828) (-9.16297857297023, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (-11.780972450961723, -10.471975511965976) (-11.780972450961723, -10.471975511965976)
(2.356194490192345, -1.019510728362366) (-14.398966328953218, -7.8539816339744828) (-14.398966328953218, -7.853981633974483)
_____ north_square = 1, south_square = 1
(-2.356194490192345, 1.019510728362366) (-6.5449846949787363, 7.8539816339744828) (-6.544984694978735, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (-3.9269908169872414, 5.2359877559829879) (-3.9269908169872414, 5.23598775598299)
(0.7853981633974483, 1.019510728362366) (-1.308996938995747, 7.8539816339744828) (-1.3089969389957479, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (-3.9269908169872414, 10.471975511965976) (-3.9269908169872414, 10.471975511965976)
(-2.356194490192345, -1.019510728362366) (-6.5449846949787363, -7.8539816339744828) (-6.544984694978735, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (-3.9269908169872414, -5.2359877559829879) (-3.9269908169872414, -5.23598775598299)
(0.7853981633974483, -1.019510728362366) (-1.308996938995747, -7.8539816339744828) (-1.3089969389957479, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (-3.9269908169872414, -10.471975511965976) (-3.9269908169872414, -10.471975511965976)
_____ north_square = 1, south_square = 2
(-2.356194490192345, 1.019510728362366) (-6.5449846949787363, 7.8539816339744828) (-6.544984694978735, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (-3.9269908169872414, 5.2359877559829879) (-3.9269908169872414, 5.23598775598299)
(0.7853981633974483, 1.019510728362366) (-1.308996938995747, 7.8539816339744828) (-1.3089969389957479, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (-3.9269908169872414, 10.471975511965976) (-3.9269908169872414, 10.471975511965976)
(-2.356194490192345, -1.019510728362366) (3.9269908169872414, -10.471975511965976) (3.9269908169872414, -10.471975511965976)
(-0.7853981633974483, -1.019510728362366) (1.308996938995747, -7.8539816339744828) (1.3089969389957479, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (3.9269908169872414, -5.2359877559829879) (3.9269908169872414, -5.23598775598299)
(2.356194490192345, -1.019510728362366) (6.5449846949787363, -7.8539816339744828) (6.544984694978735, -7.853981633974483)
_____ north_square = 1, south_square = 3
(-2.356194490192345, 1.019510728362366) (-6.5449846949787363, 7.8539816339744828) (-6.544984694978735, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (-3.9269908169872414, 5.2359877559829879) (-3.9269908169872414, 5.23598775598299)
(0.7853981633974483, 1.019510728362366) (-1.308996938995747, 7.8539816339744828) (-1.3089969389957479, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (-3.9269908169872414, 10.471975511965976) (-3.9269908169872414, 10.471975511965976)
(-2.356194490192345, -1.019510728362366) (14.398966328953218, -7.8539816339744828) (14.398966328953218, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (11.780972450961723, -10.471975511965976) (11.780972450961723, -10.471975511965976)
(0.7853981633974483, -1.019510728362366) (9.1629785729702302, -7.8539816339744828) (9.16297857297023, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (11.780972450961723, -5.2359877559829879) (11.780972450961723, -5.23598775598299)
_____ north_square = 2, south_square = 0
(-2.356194490192345, 1.019510728362366) (3.9269908169872414, 10.471975511965976) (3.9269908169872414, 10.471975511965976)
(-0.7853981633974483, 1.019510728362366) (1.308996938995747, 7.8539816339744828) (1.3089969389957479, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (3.9269908169872414, 5.2359877559829879) (3.9269908169872414, 5.23598775598299)
(2.356194490192345, 1.019510728362366) (6.5449846949787363, 7.8539816339744828) (6.544984694978735, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (-11.780972450961723, -5.2359877559829879) (-11.780972450961723, -5.23598775598299)
(-0.7853981633974483, -1.019510728362366) (-9.1629785729702302, -7.8539816339744828) (-9.16297857297023, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (-11.780972450961723, -10.471975511965976) (-11.780972450961723, -10.471975511965976)
(2.356194490192345, -1.019510728362366) (-14.398966328953218, -7.8539816339744828) (-14.398966328953218, -7.853981633974483)
_____ north_square = 2, south_square = 1
(-2.356194490192345, 1.019510728362366) (3.9269908169872414, 10.471975511965976) (3.9269908169872414, 10.471975511965976)
(-0.7853981633974483, 1.019510728362366) (1.308996938995747, 7.8539816339744828) (1.3089969389957479, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (3.9269908169872414, 5.2359877559829879) (3.9269908169872414, 5.23598775598299)
(2.356194490192345, 1.019510728362366) (6.5449846949787363, 7.8539816339744828) (6.544984694978735, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (-6.5449846949787363, -7.8539816339744828) (-6.544984694978735, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (-3.9269908169872414, -5.2359877559829879) (-3.9269908169872414, -5.23598775598299)
(0.7853981633974483, -1.019510728362366) (-1.308996938995747, -7.8539816339744828) (-1.3089969389957479, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (-3.9269908169872414, -10.471975511965976) (-3.9269908169872414, -10.471975511965976)
_____ north_square = 2, south_square = 2
(-2.356194490192345, 1.019510728362366) (3.9269908169872414, 10.471975511965976) (3.9269908169872414, 10.471975511965976)
(-0.7853981633974483, 1.019510728362366) (1.308996938995747, 7.8539816339744828) (1.3089969389957479, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (3.9269908169872414, 5.2359877559829879) (3.9269908169872414, 5.23598775598299)
(2.356194490192345, 1.019510728362366) (6.5449846949787363, 7.8539816339744828) (6.544984694978735, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (3.9269908169872414, -10.471975511965976) (3.9269908169872414, -10.471975511965976)
(-0.7853981633974483, -1.019510728362366) (1.308996938995747, -7.8539816339744828) (1.3089969389957479, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (3.9269908169872414, -5.2359877559829879) (3.9269908169872414, -5.23598775598299)
(2.356194490192345, -1.019510728362366) (6.5449846949787363, -7.8539816339744828) (6.544984694978735, -7.853981633974483)
_____ north_square = 2, south_square = 3
(-2.356194490192345, 1.019510728362366) (3.9269908169872414, 10.471975511965976) (3.9269908169872414, 10.471975511965976)
(-0.7853981633974483, 1.019510728362366) (1.308996938995747, 7.8539816339744828) (1.3089969389957479, 7.853981633974483)
(0.7853981633974483, 1.019510728362366) (3.9269908169872414, 5.2359877559829879) (3.9269908169872414, 5.23598775598299)
(2.356194490192345, 1.019510728362366) (6.5449846949787363, 7.8539816339744828) (6.544984694978735, 7.853981633974483)
(-2.356194490192345, -1.019510728362366) (14.398966328953218, -7.8539816339744828) (14.398966328953218, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (11.780972450961723, -10.471975511965976) (11.780972450961723, -10.471975511965976)
(0.7853981633974483, -1.019510728362366) (9.1629785729702302, -7.8539816339744828) (9.16297857297023, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (11.780972450961723, -5.2359877559829879) (11.780972450961723, -5.23598775598299)
_____ north_square = 3, south_square = 0
(-2.356194490192345, 1.019510728362366) (14.398966328953218, 7.8539816339744828) (14.398966328953218, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (11.780972450961723, 10.471975511965976) (11.780972450961723, 10.471975511965976)
(0.7853981633974483, 1.019510728362366) (9.1629785729702302, 7.8539816339744828) (9.16297857297023, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (11.780972450961723, 5.2359877559829879) (11.780972450961723, 5.23598775598299)
(-2.356194490192345, -1.019510728362366) (-11.780972450961723, -5.2359877559829879) (-11.780972450961723, -5.23598775598299)
(-0.7853981633974483, -1.019510728362366) (-9.1629785729702302, -7.8539816339744828) (-9.16297857297023, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (-11.780972450961723, -10.471975511965976) (-11.780972450961723, -10.471975511965976)
(2.356194490192345, -1.019510728362366) (-14.398966328953218, -7.8539816339744828) (-14.398966328953218, -7.853981633974483)
_____ north_square = 3, south_square = 1
(-2.356194490192345, 1.019510728362366) (14.398966328953218, 7.8539816339744828) (14.398966328953218, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (11.780972450961723, 10.471975511965976) (11.780972450961723, 10.471975511965976)
(0.7853981633974483, 1.019510728362366) (9.1629785729702302, 7.8539816339744828) (9.16297857297023, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (11.780972450961723, 5.2359877559829879) (11.780972450961723, 5.23598775598299)
(-2.356194490192345, -1.019510728362366) (-6.5449846949787363, -7.8539816339744828) (-6.544984694978735, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (-3.9269908169872414, -5.2359877559829879) (-3.9269908169872414, -5.23598775598299)
(0.7853981633974483, -1.019510728362366) (-1.308996938995747, -7.8539816339744828) (-1.3089969389957479, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (-3.9269908169872414, -10.471975511965976) (-3.9269908169872414, -10.471975511965976)
_____ north_square = 3, south_square = 2
(-2.356194490192345, 1.019510728362366) (14.398966328953218, 7.8539816339744828) (14.398966328953218, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (11.780972450961723, 10.471975511965976) (11.780972450961723, 10.471975511965976)
(0.7853981633974483, 1.019510728362366) (9.1629785729702302, 7.8539816339744828) (9.16297857297023, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (11.780972450961723, 5.2359877559829879) (11.780972450961723, 5.23598775598299)
(-2.356194490192345, -1.019510728362366) (3.9269908169872414, -10.471975511965976) (3.9269908169872414, -10.471975511965976)
(-0.7853981633974483, -1.019510728362366) (1.308996938995747, -7.8539816339744828) (1.3089969389957479, -7.853981633974483)
(0.7853981633974483, -1.019510728362366) (3.9269908169872414, -5.2359877559829879) (3.9269908169872414, -5.23598775598299)
(2.356194490192345, -1.019510728362366) (6.5449846949787363, -7.8539816339744828) (6.544984694978735, -7.853981633974483)
_____ north_square = 3, south_square = 3
(-2.356194490192345, 1.019510728362366) (14.398966328953218, 7.8539816339744828) (14.398966328953218, 7.853981633974483)
(-0.7853981633974483, 1.019510728362366) (11.780972450961723, 10.471975511965976) (11.780972450961723, 10.471975511965976)
(0.7853981633974483, 1.019510728362366) (9.1629785729702302, 7.8539816339744828) (9.16297857297023, 7.853981633974483)
(2.356194490192345, 1.019510728362366) (11.780972450961723, 5.2359877559829879) (11.780972450961723, 5.23598775598299)
(-2.356194490192345, -1.019510728362366) (14.398966328953218, -7.8539816339744828) (14.398966328953218, -7.853981633974483)
(-0.7853981633974483, -1.019510728362366) (11.780972450961723, -10.471975511965976) (11.780972450961723, -10.471975511965976)
(0.7853981633974483, -1.019510728362366) (9.1629785729702302, -7.8539816339744828) (9.16297857297023, -7.853981633974483)
(2.356194490192345, -1.019510728362366) (11.780972450961723, -5.2359877559829879) (11.780972450961723, -5.23598775598299)
================================================================================
rHEALPix inverse projection, sphere of radius R = 5
input (meters) / expected output (radians) / received output:
================================================================================
_____ north_square = 0, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (6.661338147750939e-16, 1.0471975511965972)
(-9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (6.661338147750939e-16, -1.0471975511965972)
_____ north_square = 0, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (6.661338147750939e-16, 1.0471975511965972)
(-1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 0, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (6.661338147750939e-16, 1.0471975511965972)
(1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 0, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (6.661338147750939e-16, 1.0471975511965972)
(9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (-7.771561172376096e-16, -1.0471975511965976)
_____ north_square = 1, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(-9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (6.661338147750939e-16, -1.0471975511965972)
_____ north_square = 1, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(-1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 1, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 1, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(-3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(-1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (-7.771561172376096e-16, -1.0471975511965976)
_____ north_square = 2, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(-9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (6.661338147750939e-16, -1.0471975511965972)
_____ north_square = 2, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(-1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 2, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 2, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(3.9269908169872414, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(1.437378399445537, 5.364369216432778) (0, 1.0471975511965976) (0.0, 1.0471975511965976)
(9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (-7.771561172376096e-16, -1.0471975511965976)
_____ north_square = 3, south_square = 0
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (-7.771561172376096e-16, 1.0471975511965976)
(-9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (6.661338147750939e-16, -1.0471975511965972)
_____ north_square = 3, south_square = 1
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(-3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (-7.771561172376096e-16, 1.0471975511965976)
(-1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 3, south_square = 2
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(3.9269908169872414, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (-7.771561172376096e-16, 1.0471975511965976)
(1.437378399445537, -5.364369216432778) (0, -1.0471975511965976) (0.0, -1.0471975511965976)
_____ north_square = 3, south_square = 3
(0.0, 0.0) (0, 0) (0.0, 0.0)
(0.0, 3.9269908169872414) (0, 0.72972765622696634) (0.0, 0.7297276562269663)
(0.0, -3.9269908169872414) (0, -0.72972765622696634) (0.0, -0.7297276562269663)
(7.853981633974483, 0.0) (1.5707963267948966, 0) (1.5707963267948966, 0.0)
(-7.853981633974483, 0.0) (-1.5707963267948966, 0) (-1.5707963267948966, 0.0)
(-15.707963267948966, 0.0) (-3.141592653589793, 0) (-3.141592653589793, 0.0)
(11.780972450961723, 7.853981633974483) (-3.141592653589793, 1.5707963267948966) (-3.141592653589793, 1.5707963267948966)
(11.780972450961723, -7.853981633974483) (-3.141592653589793, -1.5707963267948966) (-3.141592653589793, -1.5707963267948966)
(9.29136003342002, 10.343594051516188) (0, 1.0471975511965976) (-7.771561172376096e-16, 1.0471975511965976)
(9.29136003342002, -10.343594051516188) (0, -1.0471975511965976) (-7.771561172376096e-16, -1.0471975511965976)
