QTextEdit from cout stream not displayed at once

[nina1983]

Dear all,
I search in the web and I found out that a way to redirect std::cout to a QTextEditor is to implement a class

class QDebugStream : public std::basic_streambuf<char>

class QDebugStream : public std::basic_streambuf<char>

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The implementation of the class is in the attached file.
I made the call of the class in this way (Ui_outputView I designed myself through qtDesigner, it is just a Widget containing a QTextEditor "consoleTextEdit")

class OutputView : public QWidget, private Ui_outputView
{
    Q_OBJECT
 
public:
    OutputView(QWidget* parent = NULL){    
	setupUi(this);
	consoleTextEdit->toPlainText();
        qout = new QDebugStream(std::cout, consoleTextEdit);
}
    ~OutputView(){}
 
private:
	QDebugStream *qout;
 
};

class OutputView : public QWidget, private Ui_outputView
{
    Q_OBJECT
    
public:
    OutputView(QWidget* parent = NULL){    
	setupUi(this);
	consoleTextEdit->toPlainText();
        qout = new QDebugStream(std::cout, consoleTextEdit);
}
    ~OutputView(){}

private:
	QDebugStream *qout;
    
};

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The code works fine, I can display the output text but I have two main questions:
1- I would like that the text is displayed not all at once: so far the text is displayed when the function that contains all the prints "cout<<" returns. I would like to see the output as in happen in the console when the cout is called.
2- is it worth perhaps to use QTextStream to catch the standard output and display it in a QTextEdit? Any hints on how to do that?

Thanks in advance for your help, if something is not clear please let me know.
Regards,
Annalisa