virtual Vector2f sf::Shape::getCentroid() const = 0;

[TedLyngmo]

Hi! I wonder if there would be any interest to add

virtual Vector2f sf::Shape::getCentroid() const = 0;

I found myself wanting this function when I created polygons using sf::ConvexShape and I wanted the rotation point to be "in the middle" of the polygon so to speak.

I've now inherited sf::ConvexShape, as shown here https://stackoverflow.com/a/76079129/7582247, to do it automatically, but I think it would be useful to support it out of the box.

I can implement it and do a pull request if the idea isn't rejected.

[Thrasher]

How do you define this in the general case for all polygons?

[TedLyngmo]

> How do you define this in the general case for all polygons?

My plan was to do it using the code I shared in the link. For some (most) sf::Shape decendants I'm assuming shortcuts can be made.

 The actual algorithms used in the different classes is perhaps less important than if the function would be a nice addition to the library or not.

[eXpl0it3r]

I think it could make sense to add something like this.

Some considerations:

• Due to the complexity, we'd probably need to cache the calculation
• Well except for simple shapes where we can use simpler formulas
• The result should probably be in local coordinate space
• I personally would prefer getGeometricCenter() over Centroid

[TedLyngmo]

I think it could make sense to add something like this.

Great! I just made my first PR https://github.com/SFML/SFML/pull/2536 and hope I didn't miss anything.

• Due to the complexity, we'd probably need to cache the calculation

Yes, either that or document the complexity and suggest only calling it once after a Shape has been defined. A user wanting to call it many times could then cache the result.

• The result should probably be in local coordinate space

Yes. It would use the data in std::vector<Vector2f> ConvexShape::m_points; as-is and return the untransformed value.

• I personally would prefer getGeometricCenter() over Centroid

I'm perfectly fine with that too