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void Object::moveTo(Point _p) { // _p is always the center of the other object we want to go to

    // adjust speed, don't worry it's not important here, I guess
    if (current_speed == 0)
        current_speed = speed/16;
    else if (current_speed >= speed)
        current_speed = speed;
    else
        current_speed *= 2;

    // we want to calculate the new center of the
    // our object (the one that run this method)
    Point center;
    // distance(x) calculate the distance between the center point of the object and
    // the x point passed
    if (distance(_p) <= current_speed) {
        // we don't want shaking things!
        center = Point(_p.x, _p.y);
    } else {
        // move diagonally
        center.x = getCenter().x + current_speed*std::cos(angle(_p)); // angle calculates the angle between the center of the object and the _p point
        center.y = getCenter().y + current_speed*std::sin(angle(_p));
    }
    // since we draw sprites by the top left corner we need to convert
    // the center point to the correct top left point
    center = toPosition(center);
    sprite.setPosition(center);
}

Old code

void Object::moveTo(Point _p) { // _p is always the center of the other object we want to go to

    // adjust speed, don't worry it's not important here, I guess
    if (current_speed == 0)
        current_speed = speed/16;
    else if (current_speed >= speed)
        current_speed = speed;
    else
        current_speed *= 2;

    // we want to calculate the new center of the
    // our object (the one that run this method)
    Point center;
    // distance(x) calculate the distance between the center point of the object and
    // the x point passed
    if (distance(_p) <= current_speed) {
        // we don't want shaking things!
        center = Point(_p.x, _p.y);
    } else {
        // move diagonally
        center.x = getCenter().x + current_speed*std::cos(angle(_p)); // angle calculates the angle between the center of the object and the _p point
        center.y = getCenter().y + current_speed*std::sin(angle(_p));
    }
    // since we draw sprites by the top left corner we need to convert
    // the center point to the correct top left point
    center = toPosition(center);
    sprite.setPosition(center);
}

New code

Notice that the origin of the sprite is set to be in the center so setPosition will correctly set the center and that getCenter() returns sprite.getPosition() which is the center point.

void Object::moveTo(Point _p) {
    Point center;
    //std::cout << distance(_p) << std::endl;
    if (distance(_p) <= speed) {
        center = Point(_p.x, _p.y);
    } else {
        center.x = getCenter().x + speed*std::cos(angle(_p));
        center.y = getCenter().y + speed*std::sin(angle(_p));
    }
    sprite.setPosition(center);
}

• Doing distance(_p) <= 10 instead doesn't make it shake. With 9, 8... or minor it shakes.
• Defining a minor speed the object gets nearer the correct position before start shaking.
• Setting the white cube to follow the player (yellow sprite) it moves like a jagger: http://youtu.be/9FjRfHHprEQ
• Here's a recent video: the 3 little squares points (its the specific top left corner) to: blue = box center, red = player center, green = top left corner of the box. As you can see they are correctly calculated (this test was made with speed of 1, while the others were made with a greater speed): http://youtu.be/iFAWGssk7NI

• Doing distance(_p) <= 10 instead doesn't make it shake. With 9, 8... or minor it shakes.
• Defining a minor speed the object gets nearer the correct position before start shaking.
• Setting the white cube to follow the player (yellow sprite) it moves like a jagger: http://youtu.be/9FjRfHHprEQ
• Here's a recent video: the 3 little squares points (its the specific top left corner) to: blue = box center, red = player center, green = top left corner of the box. As you can see they are correctly calculated (this test was made with speed of 1, while the others were made with a greater speed): http://youtu.be/iFAWGssk7NI

• Doing distance(_p) <= 10 instead doesn't make it shake. With 9, 8... or minor it shakes.
• Defining a minor speed the object gets nearer the correct position before start shaking.
• Setting the white cube to follow the player (yellow sprite) it moves like a jagger: http://youtu.be/9FjRfHHprEQ

• Doing distance(_p) <= 10 instead doesn't make it shake. With 9, 8... or minor it shakes.
• Defining a minor speed the object gets nearer the correct position before start shaking.
• Setting the white cube to follow the player (yellow sprite) it moves like a jagger: http://youtu.be/9FjRfHHprEQ
• Here's a recent video: the 3 little squares points (its the specific top left corner) to: blue = box center, red = player center, green = top left corner of the box. As you can see they are correctly calculated (this test was made with speed of 1, while the others were made with a greater speed): http://youtu.be/iFAWGssk7NI