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)..


public class BoxingTheCompass{
    private static String[] points = new String[32];
 
    public static void main(String[] args){
        buildPoints();
 
        double heading = 0;
 
        for(int i = 0; i<= 32;i++){
            heading = i * 11.25;
            switch(i % 3){
                case 1:
                    heading += 5.62;
                    break;
                case 2:
                    heading -= 5.62;
                    break;
                default:
            }
 
            System.out.printf("%s\t%18s\t%s°\n",(i % 32) + 1, initialUpper(getPoint(heading)), heading);
        }
    }
 
    private static void buildPoints(){
        String[] cardinal = {"north", "east", "south", "west"};
        String[] pointDesc = {"1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1"};
 
        String str1, str2, strC;
 
        for(int i = 0;i <= 3;i++){
            str1 = cardinal[i];
            str2 = cardinal[(i + 1) % 4];
            strC = (str1.equals("north") || str1.equals("south")) ? (str1 + str2): (str2 + str1);
            for(int j = 0;j <= 7;j++){
                points[i * 8 + j] = pointDesc[j].replace("1", str1).replace("2", str2).replace("C", strC);
            }
        }
    }
 
    private static String initialUpper(String s){
        return s.substring(0, 1).toUpperCase() + s.substring(1);
    }
 
    private static String getPoint(double degrees){
        double testD = (degrees / 11.25) + 0.5;
        return points[(int)Math.floor(testD % 32)];
    }
}