There be many a land lubber that knows naught of the pirate ways and gives direction by degree!
They know not how to box the compass!



Task description

 Create a function that takes a heading in degrees and returns the correct 32-point compass heading.
 Use the function to print and display a table of Index, Compass point, and Degree; rather like the corresponding columns from, the first table of the wikipedia article, but use only the following 33 headings as input:
[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]. (They should give the same order of points but are spread throughout the ranges of acceptance).


Notes;
 The headings and indices can be calculated from this pseudocode:
for i in 0..32 inclusive:
    heading = i * 11.25
    case i %3:
      if 1: heading += 5.62; break
      if 2: heading -= 5.62; break
    end
    index = ( i mod 32) + 1
 The column of indices can be thought of as an enumeration of the thirty two cardinal points (see talk page)..


V majors = ‘north east south west’.split(‘ ’)
majors *= 2
V quarter1 = ‘N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N’.split(‘,’)
V quarter2 = quarter1.map(p -> p.replace(‘NE’, ‘EN’))
 
F degrees2compasspoint(=d)
   d = (d % 360) + 360 / 64
   V majorindex = Int(d / 90)
   V minorindex = Int((d % 90 * 4) I/ 45)
   V p1 = :majors[majorindex]
   V p2 = :majors[majorindex + 1]
   [String] q
   I p1 C (‘north’, ‘south’)
      q = :quarter1
   E
      q = :quarter2
   R q[minorindex].replace(‘N’, p1).replace(‘E’, p2).capitalize()
 
:start:
L(i) 33
   V d = i * 11.25
   S i % 3
      1
         d += 5.62
      2
         d -= 5.62
   V n = i % 32 + 1
   print(‘#2.0 #<18 #4.2°’.format(n, degrees2compasspoint(d), d))