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)..


use utf8;
 
my @names = (
	"North",
	"North by east",
	"North-northeast",
	"Northeast by north",
	"Northeast",
	"Northeast by east",
	"East-northeast",
	"East by north",
	"East",
	"East by south",
	"East-southeast",
	"Southeast by east",
	"Southeast",
	"Southeast by south",
	"South-southeast",
	"South by east",
	"South",
	"South by west",
	"South-southwest",
	"Southwest by south",
	"Southwest",
	"Southwest by west",
	"West-southwest",
	"West by south",
	"West",
	"West by north",
	"West-northwest",
	"Northwest by west",
	"Northwest",
	"Northwest by north",
	"North-northwest",
	"North by west",
);
my @angles = (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);
 
for (@angles) {
	my $i = int(($_ * 32 / 360) + .5) % 32;
	printf "%3d %18s %6.2f°\n", $i + 1, $names[$i], $_;
}