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)..


A:=("X N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE "  // one based array
        "SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW "
        "WSW WbS W WbN WNW NWbW NW NWbN NNW NbW").split(" "); 
 
fcn compassBox(d){
    return(( ( (d + 360.0 / 64.0) % 360.0) * 32.0 / 360.0).ceil()); 
}
 
foreach i in ([0..32]){
   heading:=11.25*i;
   switch(i%3){  // or heading+=5.62*((i+1).divr(3)[1]-1);
      case(1){ heading+=5.62 }
      case(2){ heading-=5.62 }
   }
   box:=compassBox(heading);
   println("%6.2f\UB0; : %2d\t%s".fmt(heading,box,A[box]));
}