Help With CFrame Angles

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#1

I am slightly confused about the CFrame.Angles constructor. Is CFrame.Angles(x, y, z) the same thing as CFrame.Angles(x, 0, 0) * CFrame.Angles(0, y, 0) * CFrame.Angles(0, 0, z)? From what I know and have, it should be the same thing because the multiplication operator offsets one CFrame from another CFrame. However, from what I tested so far, the X-component, for some reason, adds up with the Z-component, so it isn’t the same thing.

Let me clarify myself. This following line just rotates the CFrame of the block by 90 degrees.

-- part is the green part, and root is the spaceship on the bottom
part.CFrame = root.CFrame * CFrame.Angles(0, math.pi / 2, 0) *
	CFrame.new(0, 10, 0)

image

Now, if I change the X-component to 30 degrees, It weirdly offsets Z-orientation.

part.CFrame = root.CFrame * CFrame.Angles(math.pi / 6, math.pi / 2, 0) *
	CFrame.new(0, 10, 0)

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image

Now if I do add a Z-orientation of -30 degrees, the 30 degrees from the X-orientation adds up with -30 degrees from the Z-orientation to cancel each other out.

part.CFrame=root.CFrame * CFrame.Angles(math.pi/6, math.pi/2, -math.pi/6)*
	CFrame.new(0, 10, 0)

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Well, Z-orientation is 0.
image

But multiplying CFrames created using CFrame.Angles gives me more of what I was looking for.

part.CFrame = root.CFrame * CFrame.Angles(0, math.pi / 2, 0) *
	CFrame.Angles(math.pi / 6, 0, 0) * CFrame.new(0, 10, 0)

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Can someone can explain to me what the CFrame.Angles(x, y, z) really does, and why the X only changes Z? No matter how hard I try, I can’t seem to offset X- and Y-orientation with a single CFrame.Angles() because Z gets offset instead of X. I have already tried changing Z only, but that changes Z, not X.

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#2

I’m not really sure what’s going on. What is the root.CFrame? This is the only thing that I can see that could cause issues.

CFrame.Angles(x,y,z) is indeed the same as multiplying them together individually. I made two parts spin on the z and x axes, one using multiplication and the other using CFrame.Angles(x,y,z) to prove it.

2 Likes
#3

Yes, I see that the parts spin identically. Root is the spaceship as I mentioned before. I should also note that the X and Z glitch only occurs when I multiply it to another CFrame like root.CFrame. Otherwise, it seems to work intuitively, the individual angle components are multiplied together.

#4

This is because CFrame multiplications are not commutative which means you will get different results depending on what order you multiply your angles in as CFrame.Angles work by rotating a CFrame around the 3 axis in a specific order.
You can also test this in real life if you use the 3-finger rule to rotate your hand by using your thumb, index and middle finger as an X-/Y-/Z-Axis, your hand will end up in different positions depending on what order you rotate your hand in.
CFrame.Angles rotate the CFrame in the X-Y-Z order.
That`s why this will print true:

print(CFrame.Angles(1,0,0)*CFrame.Angles(0,1,0)*CFrame.Angles(0,0,1) == CFrame.Angles(1,1,1))

Whereas these will print false:

print(CFrame.Angles(1,0,0)*CFrame.Angles(0,1,0) == CFrame.Angles(0,1,0)*CFrame.Angles(1,0,0))

This is why you get different results with your code as you changed the order in which you rotate your CFrame, you rotated the CFrame at the Y-Axis first and then at the X-Axis:

part.CFrame = root.CFrame * CFrame.Angles(0, math.pi / 2, 0) *
	CFrame.Angles(math.pi / 6, 0, 0) * CFrame.new(0, 10, 0)

Simply swaping both CFrame.Angles should fix your issue.

3 Likes
#5

I see the problem. CFrame multiplication isn’t commutative. When multiplying angles, the angle gets offset in respect to the word axes, rather than the object axes. By doing CFrame.Angles(math.pi/6, math.pi/2, -math.pi/6), the part rotates 30 degrees on the X. Then, the part is rotated 90 degrees, but during this stage, the X-axis of the part aligns with the Z-axis. So whatever X-rotation was done turns into Z-rotation. Lastly, Z-rotation is added.

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#6

Saved my life bro thanks.I was struggling