user
Avast me hearties!

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

1. Create a function that takes a heading in degrees and returns the correct 32-point compass heading.
2. 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)..
assistant
(formerly Perl 6)

**Works with**: Rakudo version 2015.12

```
sub point (Int $index) {
    my $ix = $index % 32;
    if $ix +& 1
        { "&point(($ix + 1) +& 28) by &point(((2 - ($ix +& 2)) * 4) + $ix +& 24)" }
    elsif $ix +& 2
        { "&point(($ix + 2) +& 24)-&point(($ix +| 4) +& 28)" }
    elsif $ix +& 4
        { "&point(($ix + 8) +& 16)&point(($ix +| 8) +& 24)" }
    else
        { <north east south west>[$ix div 8]; }
}

sub test-angle ($ix) { $ix * 11.25 + (0, 5.62, -5.62)[ $ix % 3 ] }
sub angle-to-point(\𝜽) { floor 𝜽 / 360 * 32 + 0.5 }

for 0 .. 32 -> $ix {
    my \𝜽 = test-angle($ix);
    printf "  %2d %6.2f° %s\n",
              $ix % 32 + 1,
                  𝜽,
                         tc point angle-to-point 𝜽;
}

```

Output:

```
   1   0.00° North
   2  16.87° North by east
   3  16.88° North-northeast
   4  33.75° Northeast by north
   5  50.62° Northeast
   6  50.63° Northeast by east
   7  67.50° East-northeast
   8  84.37° East by north
   9  84.38° East
  10 101.25° East by south
  11 118.12° East-southeast
  12 118.13° Southeast by east
  13 135.00° Southeast
  14 151.87° Southeast by south
  15 151.88° South-southeast
  16 168.75° South by east
  17 185.62° South
  18 185.63° South by west
  19 202.50° South-southwest
  20 219.37° Southwest by south
  21 219.38° Southwest
  22 236.25° Southwest by west
  23 253.12° West-southwest
  24 253.13° West by south
  25 270.00° West
  26 286.87° West by north
  27 286.88° West-northwest
  28 303.75° Northwest by west
  29 320.62° Northwest
  30 320.63° Northwest by north
  31 337.50° North-northwest
  32 354.37° North by west
   1 354.38° North
```