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)..


link strings,numbers 
 
procedure main()
 
every heading := 11.25 * (i := 0 to 32) do {
   case i%3 of {
      1: heading +:= 5.62
      2: heading -:= 5.62
      }
   write(right(i+1,3)," ",left(direction(heading),20)," ",fix(heading,,7,2))
   } 
end
 
procedure direction(d)  # compass heading given +/- degrees
static dirs
initial {
   every put(dirs := [],
             replacem(!["N","NbE","N-NE","NEbN","NE","NEbE","E-NE","EbN",
                        "E","EbS","E-SE","SEbE","SE","SEbS","S-SE","SbE",
	                     "S","SbW","S-SW","SWbS","SW","SWbW","W-SW","WbS",
	                    "W","WbN","W-NW","NWbW","NW","NWbN","N-NW","NbW"],
                       "N","north","E","east","W","west","S","south","b"," by "))   
   }
 
   return dirs[round(((((d%360)+360)%360)/11.25)%32 + 1)]
end