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)..


 
Module CheckIt {
      Locale 1033   'change decimal point char to dot.
      Form 80,50    ' set console to 80 characters by 50 lines
      \\ Function heading() get a positive double as degrees and return the  compass index (1 for North)
      Function heading(d) {
            d1=d div 11.25
            if d1 mod 3= 1 then d+=5.62 :d1=d div 11.25
            =d1 mod 32 +1
      }
      Dim wind$(1 to 32)
      wind$(1)="North", "North by east", "North-northeast", "Northeast by north", "Northeast"
      wind$(6)="Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast"
      wind$(12)="Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South"
      wind$(18)="South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest"
      wind$(24)="West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north"
      wind$(31)="North-northwest", "North by west"
      oldvalue=-2
      newvalue=2
      Print " angle | box | compass point"
      Print "-------+-----+---------------------"
      For i=0 to 360 step 0.005
            newvalue=heading(i)
            if (newvalue mod 3) =2 then i+=5.62: newvalue=heading(i)
            if oldvalue<>newvalue then Print format$("{0:2:-6}°|  {1::-2} | {2}",i, newvalue, wind$(newvalue)) : oldvalue=newvalue : refresh
      Next i
}
CheckIt 
 