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)..


object BoxingTheCompass extends App {
  val cardinal = List("north", "east", "south", "west")
  val pointDesc = List("1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1")
 
  val pointDeg: Int => Double = i => {
	val fswitch: Int => Int = i => i match {case 1 => 1; case 2 => -1; case _ => 0}
	i*11.25+fswitch(i%3)*5.62
  }
 
  val deg2ind: Double => Int = deg => (deg*32/360+.5).toInt%32+1
 
  val pointName: Int => String = ind => {
    val i = ind - 1
    val str1 = cardinal(i%32/8)
    val str2 = cardinal((i%32/8+1)%4)
    val strC = if ((str1 == "north") || (str1 == "south")) str1+str2 else str2+str1
    pointDesc(i%32%8).replace("1", str1).replace("2", str2).replace("C", strC).capitalize
  }
 
  (0 to 32).map(i=>Triple(pointDeg(i),deg2ind(pointDeg(i)),pointName(deg2ind(pointDeg(i)))))
      .map{t=>(printf("%s\t%18s\t%s°\n",t._2,t._3,t._1))}
}