Box the compass

``````func point (index) {
var 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 / 8] }
}

func test_angle (ix) { ix * 11.25 + [0, 5.62, -5.62][ ix % 3 ] }
func angle_to_point(𝜽) { (𝜽 / 360 * 32) + 0.5 -> floor }

for ix in range(0, 32) {
var 𝜽 = test_angle(ix)
printf("  %2d %6.2f° %s\n", ix % 32 + 1, 𝜽, point(angle_to_point(𝜽)).tc)
}
``````

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
``````