How to set focus on QMenu Item programmatically - c++

Question

What I want to do with this piece of code is set the focus on the QMenu Item programmatically. But neither QMenu::setActiveAction() nor QMenu::popup() works.
How can I do that?
#include <QApplication>
#include <QMainWindow>
#include <QMenuBar>
int main(int argc, char **argv)
{
QApplication app(argc, argv);
QMainWindow *window = new QMainWindow();
window->setWindowTitle(QString::fromUtf8("Test:QMenu"));
window->resize(336, 227);
QAction *newAct = new QAction("&New",window);
QAction *openAct = new QAction("&Open",window);
QAction *saveAct = new QAction("&Save",window);
QMenu *fileMenu;
fileMenu = window->menuBar()->addMenu("&File");
fileMenu->addAction(newAct);
fileMenu->addAction(openAct);
fileMenu->addAction(saveAct);
window->show();
fileMenu->popup(QPoint(10,10));
return app.exec();
}

Answer 1

QMenu items are not "focusable" in the same manner as other widgets. And, actually, they shouldn't, because what you want is not common practice of their usage.
As a workaround, on mouse press you can get mouse cursor position, pre-calculate offset of your default menu item in the popup menu and show the menu at the point, where mouse cursor underly your default menu item. This solution was suggested here.
Also, what will be more nice for user, to select default menu item you can generates narrow keys buttons events after you display your popup. This works on Windows, but not sure about other OS.