How can I get the yaw rotation?

[candid lily]

I'm trying to get the yaw rotation (on y-axis), expressed like in the picture.
If the camera's lookvector is the blue arrow, then the yaw rotation would be pi/2.
If it would be in the opposite way, -pi/2.
I already managed to write a script for this but only in relation to the character,
so if I would turn around the character and look straight, the yaw rotation would be falsely pi/2 instead of -pi/2.

function getYawPitch()
    --if input.KeyCode ~= Enum.KeyCode.H then return end

    local localCamera = Camera.CFrame
    local yAngle = math.atan2(localCamera.LookVector.X, localCamera.LookVector.Z)
    
    if getYaw() > math.pi/2 then
        yAngle = -yAngle
    end

    local yaw = math.pi/2 + yAngle
    
    --local pitch = math.asin(localCamera.lookVector.Y) * (-1)    

    -- wrap the rotation to be within [0, pi)
    yaw = (yaw % math.pi + math.pi) % math.pi

    -- if player looks behind, subtract pi to let the rotation be within [0, -pi)
    if getYaw() > math.pi/2 then
        yaw -= math.pi
    end

    print("yaw:", yaw)

    return yaw
 end

[reef olive]

I think you just negate the yaw variable before you return it

[candid lily]

@reef olive but wouldn't this negate it when the camera's lookvector is the blue arrow?

then the rotations would be just swapped, but not made global in any sense

[reef olive]

your goal is to make the yaw rotation relative to world space?

[candid lily]

yeah, right now it is relative to the humanoid for some reason.

if the lookvector is at -pi/2, then the yaw should be -pi/2, even if i would rotate the character and look into this direction, it wouldn't suddenly become pi/2 again

[reef olive]

Are you using CurrentCamera

[candid lily]

yeah

[reef olive]

I need to know what's inside getYaw() function

[candid lily]

this was just to make the backwards angle correct

i basically want this rotation circle to apply to the world

[reef olive]

Try to do :Dot(CFrame.identity.LookVector) this might relative to the world