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)..


function Convert-DegreeToDirection ( [double]$Degree )
    {
 
    $Directions = @(    'n','n by e','n-ne','ne by n','ne','ne by e','e-ne','e by n',
                        'e','e by s','e-se','se by e','se','se by s','s-se','s by e',
                        's','s by w','s-sw','sw by s','sw','sw by w','w-sw','w by s',
                        'w','w by n','w-nw','nw by w','nw','nw by n','n-nw','n by w',
                        'n'
                    ).Replace( 's', 'south' ).Replace( 'e', 'east' ).Replace( 'n', 'north' ).Replace( 'w', 'west' )
 
    $Directions[[math]::floor(( $Degree % 360 ) / 11.25 + 0.5 )]
    }
 
$x = 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
 
$x | % { Convert-DegreeToDirection -Degree $_ }