I'm quite new to coding in general. I have found some answers for this question but the answers seem advanced for me.
I'm trying to write my own Finite Element Project. For this I would like to write a method that checks if random 4 nodes given as input form a convex quadrilateral.
My method is supposed to look like this:
private bool IsConvex(Node[4] corners)
{
bool isConvex;
//CODE//
return isConvex;
}
the Node class is defined by three public properties referring to their coordinates (.coordX, .coordY, .coordZ)
In order to know if a quadrilateral is convex or not, you can make a triangle of three points and see if the fourth point is located inside that triangle or not. If you manage finding one triangle, which contains the fourth point, then you don't have a convex quadrilateral.
Ok, and how can you know if a point is located inside a triangle?
Well, you start by determining at which side a point is located compared to a vector.
Come again?
Well, for each vector, you can find out if a point is located at the left side or at the right side: you just rotate the vector back to the Y-axis, you do the same with the point and if the X coordinate of the point is negative your point is located at the left side, otherwise it's at the right side, like in these three cases (left, left and right):
Once you have figured that out, you define a point being inside a triangle if, after having described the triangle as a triangle of vectors, your point is at the same side of all vectors, like in this example (be aware that your triangle consists of the vectors AB, BC and CA: the points must follow up each other):
Good luck