How do I replicate rotating an object towards an angle by X degrees through math?

I have an object with an instance variable simAngle, and then I want to always set the angle of the object to that instance variable. Basically instead of rotating things by the object I want to rotate things through the instance variable and then the object sets its angle as the instance variable.

How would I simulate rotating an object towards an angle by X degrees through instance variables with math?

I have something close but the problem is that it won't take the shortest rotation, it will rotate the longest way possible. Is there a formula for this?

can you set the angle towards another object?

angle(obj1.x,obj1.y,obj2.x,obj2.y)

You mean you want to rotate the sprite smoothly to the target angle?

You can use one of these methods, run them on every tick:

Rotate 1 degree towards angle self.simAngle

or

Sprite set angle to anglelerp(self.angle, self.simAngle, dt*4)

If you’re setting the angle of the sprite then I’d recommend the first method dop posted.

The lerp gives an ease in but you can have the rotation at a constant speed with:

Set angle to rotateAngle(self.angle, self.simAngle,100*dt)

If could also do multiple conditions to see is the one angle is clockwise or counter-clockwise along with the angleDiff(a,b) expression to get the direction and angle difference.

For a pure math way you can do this with the two angles which will give the difference and clockwiseness.

signedAngleDiff=angle(0,0,cos(a-b),sin(a-b)

Abs(signedAngleDiff) is the distance

signedAngleDiff<0 means a is counter clockwise from b

Your math did the trick, thank you so much!