#include <QtGui>
#include <limits>

class MyItem : public QGraphicsRectItem
{
public:
	MyItem(QGraphicsScene *scene) :
		QGraphicsRectItem(0, 0, std::numeric_limits<int>::max(), 50, 0, scene) {
		setBrush(QBrush(Qt::red));
	}

	virtual void paint(QPainter *painter,
					   const QStyleOptionGraphicsItem * /* option */, QWidget * /* widget */ = 0)
	{
		painter->setBrush(brush());
		painter->drawRect(rect());
		static uint c = 0;
		qWarning() << "DRAW #" << ++c;
	}
};

class MainWindow : public QMainWindow
{
	QGraphicsScene* _scene;
	QGraphicsView* _view;

	MyItem* _my_item;
	QGraphicsRectItem* _smaller_item;
public:
	MainWindow(QWidget *parent = 0)
		: QMainWindow(parent)
	{
		_scene = new QGraphicsScene(this);
		_view = new QGraphicsView(_scene, this);
		setCentralWidget(_view);

		new QGraphicsLineItem(0, -50, 0, 250, 0, _scene);

		_smaller_item = new QGraphicsRectItem(0, 100,
									  std::numeric_limits<int>::max() / 10,
									  50, 0, _scene);

		_smaller_item->setBrush(QBrush(Qt::yellow));

		_my_item = new MyItem(_scene);

		_scene->setSceneRect(-1000, -50, static_cast<qreal>(std::numeric_limits<int>::max()) * 1.1, 250);

		//_view->scale(0.9, 1.0); // Fine
		//_view->scale(1.0, 1.0); // Overflow of rect border around _item
		//_view->scale(1.1, 1.0); // Overflow of viewport rect of _my_item
		_view->scale(2.0, 1.0);
		//_view->scale(10., 1.0); // Overflow for _smaller_item
	}
};


int main(int argc, char *argv[])
{
    QApplication a(argc, argv);
    MainWindow w;
    w.show();

    return a.exec();
}