Converting wind direction in angles to text words

EDIT :

Since there is an angle change at every 22.5 degrees, the direction should swap hands after 11.25 degrees.

Therefore:

349-360//0-11 = N
12-33 = NNE
34-56 = NE

Using values from 327-348 (The entire NNW spectrum) failed to produce a result for eudoxos' answer. After giving it some thought I could not find the flaw in his logic, so i rewrote my own..

def degToCompass(num):
    val=int((num/22.5)+.5)
    arr=["N","NNE","NE","ENE","E","ESE", "SE", "SSE","S","SSW","SW","WSW","W","WNW","NW","NNW"]
    print arr[(val % 16)]

>>> degToCompass(0)
N
>>> degToCompass(180)
S
>>> degToCompass(720)
N
>>> degToCompass(11)
N
>>> 12
12
>>> degToCompass(12)
NNE
>>> degToCompass(33)
NNE
>>> degToCompass(34)
NE

STEPS :

1. Divide the angle by 22.5 because 360deg/16 directions = 22.5deg/direction change.
2. Add .5 so that when you truncate the value you can break the 'tie' between the change threshold.
3. Truncate the value using integer division (so there is no rounding).
4. Directly index into the array and print the value (mod 16).

Here's a javascript implementation of steve-gregory's answer, which works for me.

function degToCompass(num) {
    var val = Math.floor((num / 22.5) + 0.5);
    var arr = ["N", "NNE", "NE", "ENE", "E", "ESE", "SE", "SSE", "S", "SSW", "SW", "WSW", "W", "WNW", "NW", "NNW"];
    return arr[(val % 16)];
}

See his answer for an explanation of the logic.

This JavaScript will work for anyone who only needs 8 cardinal directions and would like corresponding arrows.

function getCardinalDirection(angle) {
    const directions = ['↑ N', '↗ NE', '→ E', '↘ SE', '↓ S', '↙ SW', '← W', '↖ NW'];
    return directions[Math.round(angle / 45) % 8];
}