How to determine if need to swap start and end angle when drawing an arc

Question

I have multiple polygon maps (made up of lines and arcs). I am using turf.lineArc() to calculate points on an arc and to do this the start and end points of the arc need to be clockwise, if not they need to be swapped around. I have the following code to swap the start and end points around (but it is not quite right)

if (endAngle < startAngle) {
   endAngle = endAngle + 360;
}
if (startAngle < endAngle) {
  var e = endAngle;
  endAngle = startAngle;
  startAngle = e;
 }
 while (startAngle - endAngle > 180) {
  startAngle = startAngle - 360;
}
var arc = turf.lineArc(center, radius, startAngle, endAngle, options);

My problem is knowing when to swap the start and end around and when not to. In my attached picture Map1 works correctly without being swapped around but Map2 needs to have the start and end points swapped. (and they both need to use the same code). If map 2 does not have the start and end swapped around turf.lineArc draws a major arc of 353 degrees which is not what I want. How do I fix my code so I only swap the start and end points when travelling from start to end is in an anti-clockwise direction?

Thank you :)

Edit: Arc can be < 180 or >180 and I know if it is major (>180) or minor (<180)

Answer 1

I used this by Corrl to determine clockwise direction so then knew if to swap or not. JavaScript - Find turn direction from two angles