Wind rose with no degrees for direction

I am trying to plot a wind rose but for direction I only have N, NE, NNE etc rather than degrees. Is there a code or script for this?

[Torsten]

N = 90°

NE = 45°

NNE = (90°+45°)/2

ENE = 45°/2

[Madison]

Would N not be 0º, E 90º etc?

[Torsten]

Usually you start with E = (1,0) as 0°, goto N = (0,1) as 90°, goto W = (-1,0) as 180°, goto S = (0,-1) as 270°.

The coordinates can then be obtained by the cosd and sind functions:

[cosd(0),sind(0)] 

ans = 1×2

1 0

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[cosd(90),sind(90)]

ans = 1×2

0 1

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[cosd(180),sind(180)] 

ans = 1×2

-1 0

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[cosd(270),sind(270)] 

ans = 1×2

0 -1

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But you are right: I just found that the relation between angle and direction seems to be different for wind roses:

https://en.wikipedia.org/wiki/Wind_rose

Answer 1

[Steven Lord]

Let's make some random direction data.

directions = ["N", "NE", "E", "SE", "S", "SW", "W", "NW"];
n = numel(directions);
angles = 0:45:315;
randomDirections = directions(randi(n, 1, 10));

Now we can convert those strings into the corresponding angles.

[~, indices] = ismember(randomDirections, directions);
correspondingAngles = angles(indices);

And now we can show the results as a table so you can check.

results = table(randomDirections.', correspondingAngles.', VariableNames = ["dir", "angle"])

results = 10x2 table
    dir     angle
    ____    _____

    "N"        0 
    "N"        0 
    "NE"      45 
    "W"      270 
    "N"        0 
    "S"      180 
    "S"      180 
    "NW"     315 
    "NE"      45 
    "E"       90