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)..


using Printf
 
function degree2compasspoint(d::Float64)
    majors = ("north", "east", "south", "west", "north", "east", "south", "west")
    quarter1 = ("N", "N by E", "N-NE", "NE by N", "NE", "NE by E", "E-NE", "E by N")
    quarter2 = map(p -> replace(p, "NE" => "EN"), quarter1)
 
    d = d % 360 + 360 / 64
    imajor, minor = divrem(d, 90)
    iminor = div(minor * 4, 45)
    imajor += 1
    iminor += 1
    p1, p2 = majors[imajor:imajor+1]
    q = p1 in ("north", "south") ? quarter1 : quarter2
    titlecase(replace(replace(q[iminor], 'N' => p1), 'E' => p2))
end
 
for i in 0:32
    d = i * 11.25
    i % 3 == 1 && (d += 5.62)
    i % 3 == 2 && (d -= 5.62)
    @printf("%2i %-17s %10.2f°\n", i % 32 + 1, degree2compasspoint(d), d)
end