DolphinQt: Properly handle quit events.

* Confirm stopping emulation when the window is closing, not just the "Stop" button
 * Don't resume if we were already paused when we got the quit event
 * Shutdown the core at the end of main() so we don't crash on exit
 * Miscellaneous other logic cleanups related to this

Source/Core/DolphinQt/Main.cpp

@@ -60,6 +60,7 @@ int main(int argc, char* argv[])
 
 	int retcode = app.exec();
 	delete g_main_window;
+	Core::Shutdown();
 	UICommon::Shutdown();
 	return retcode;
 }

Source/Core/DolphinQt/MainWindow.cpp

@@ -4,6 +4,7 @@
 
 #include <memory>
 #include <QActionGroup>
+#include <QCloseEvent>
 #include <QDesktopServices>
 #include <QFileDialog>
 #include <QMessageBox>
@@ -62,7 +63,9 @@ DMainWindow::DMainWindow(QWidget* parent_widget)
 			StartGame(filename);
 	});
 	connect(m_ui->actionBrowse, &QAction::triggered, this, &DMainWindow::OnBrowse);
-	connect(m_ui->actionExit, &QAction::triggered, this, &DMainWindow::OnExit);
+	connect(m_ui->actionExit, &QAction::triggered, this, [&]() {
+		close();
+	});
 
 	connect(m_ui->actionListView, &QAction::triggered, this, &DMainWindow::OnGameListStyleChanged);
 	connect(m_ui->actionTreeView, &QAction::triggered, this, &DMainWindow::OnGameListStyleChanged);
@@ -110,7 +113,10 @@ DMainWindow::~DMainWindow()
 
 void DMainWindow::closeEvent(QCloseEvent* ce)
 {
-	Stop();
+	if (!OnStop())
+		ce->ignore();
+	else
+		QMainWindow::closeEvent(ce);
 }
 
 // Emulation
@@ -231,14 +237,6 @@ void DMainWindow::OnBrowse()
 	m_game_tracker->ScanForGames();
 }
 
-void DMainWindow::OnExit()
-{
-	close();
-	if (Core::GetState() == Core::CORE_UNINITIALIZED || m_isStopping)
-		return;
-	Stop();
-}
-
 void DMainWindow::OnPlay()
 {
 	if (Core::GetState() != Core::CORE_UNINITIALIZED)
@@ -262,9 +260,17 @@ bool DMainWindow::OnStop()
 	// Ask for confirmation in case the user accidentally clicked Stop / Escape
 	if (SConfig::GetInstance().bConfirmStop)
 	{
-		// Pause emulation
+		// Pause emulation if it isn't already
+		bool wasPaused = false;
+		if (Core::GetState() == Core::CORE_PAUSE)
+		{
+			wasPaused = true;
+		}
+		else
+		{
 			Core::SetState(Core::CORE_PAUSE);
 			emit CoreStateChanged(Core::CORE_PAUSE);
+		}
 
 		QMessageBox::StandardButton ret = QMessageBox::question(m_render_widget.get(), tr("Please confirm..."),
 			tr("Do you want to stop the current emulation?"),
@@ -272,6 +278,7 @@ bool DMainWindow::OnStop()
 
 		if (ret == QMessageBox::No)
 		{
+			if (!wasPaused)
 				DoStartPause();
 			return false;
 		}

Source/Core/DolphinQt/MainWindow.h

@@ -44,7 +44,6 @@ private slots:
 
 	// Main toolbar
 	void OnBrowse();
-	void OnExit();
 	void OnPlay();
 	void OnReset();
 

Source/Core/DolphinQt/VideoInterface/RenderWidget.h

@@ -19,10 +19,7 @@ protected:
 	void mousePressEvent(QMouseEvent*) override {}
 	void paintEvent(QPaintEvent*) override {}
 
-private slots:
+private:
 	void closeEvent(QCloseEvent* e) override;
-
-signals:
-	void Closed();
 };