How does one convert from local coordinates to global coordinates in SFML. I currently have the following

    triangle[0].position = sf::Vector2f(getPosition().x, getPosition().y);

    triangle[1].position = sf::Vector2f(getPosition().x - 40.0f, getPosition().y + 50.0f);

    triangle[2].position = sf::Vector2f(getPosition().x + 40.0f, getPosition().y + 50.0f);

when I call the following function

const sf::Vector2f Entity::getPositionVertex1() const

{

    return sf::Vector2f(triangle[1].position.x, triangle[1].position.y);

}

I get the position of the vertex relative to the local orgin of the object. I instead want the global position of the vertex relative to the world origin.

From the image below, I want v1 not relative to the blue X (which is the objects local origin), but to the orange dot that is the global origin. Is this possible in SFML? Some help would be appreciated.

@Khantharr, thanks for the help.

Could you give a code snippet of what you're talking about when it comes to rotation and scaling? I'm not 100% what you mean ("account for the whole transform").

If your entity is an sf::Shape (= is inheriting from an sf::Shape (or inheriting from sf::Transformable)), you can call getTransform to get the transform matrix of your object (it contains every transformations like origin, translation, rotation, ...) and then use transformPoint to apply this transformation matrix to any point (any vertex of your shape).

Thanks for the help Khatharr and Alayric, cleared things up.

This is why matrices exists.

To transform from X system to Y system.

A transofrmation matrix is the most simple one, just build a4x4 transformation according to the view matrix and you have the coordinate.

The position of your objects would be on the frame of global coordinate system. If you get vertex coordinate related to that, just subtract the vertex's position from your object's position. But this is assuming you didn't use rotation or scaling. From the pictures you posted, you probably didn't.