the invert of a QTransform's transposed

[calmspeaker]

Ｉ am trying to save the QGraphicsitem's information in the svg format. I meet a problem about QTransform's invert.
I transpose a QTransform of QTransform::TxTranslate and invert it. But the result is not correct! I donot know why.
I upload the source code. Will somebody run the code and give me some hint.

[calmspeaker]

The main.cpp is

#include <QtGui>
void showmat(QTransform abc){
    qDebug("%s",QString("%1,%2,%3").arg(abc.m11()).arg(abc.m12()).arg(abc.m13()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m21()).arg(abc.m22()).arg(abc.m23()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());
}
 
int main()
{
    QTransform a(1,0,300,0,1,300,0,0,1);
	QTransform temp = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300).transposed();//m_pItem->sceneTransform().transposed();
	QTransform temp1 = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300); //m_pItem->sceneTransform();
	qDebug("is invertible? %d",temp.isInvertible()?1:0);
	qDebug("is equal the made one? %d",temp == a?1:0);
 
	qDebug("-----temp------");
	showmat(temp);
 
 
	QTransform abc = temp.inverted();
	qDebug("----temp invert-------");
	showmat(abc);
 
	qDebug("-----temp1------");
	showmat(temp1);
 
	qDebug("-----temp1 invert ------");
	showmat(temp1.inverted());
 
 
 
	qDebug("-----------");
	showmat(a);
	QTransform a1 = a.inverted();
	qDebug("-----------");
	showmat(a1);
}

#include <QtGui>
void showmat(QTransform abc){
    qDebug("%s",QString("%1,%2,%3").arg(abc.m11()).arg(abc.m12()).arg(abc.m13()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m21()).arg(abc.m22()).arg(abc.m23()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());
}

int main()
{
    QTransform a(1,0,300,0,1,300,0,0,1);
	QTransform temp = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300).transposed();//m_pItem->sceneTransform().transposed();
	QTransform temp1 = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300); //m_pItem->sceneTransform();
	qDebug("is invertible? %d",temp.isInvertible()?1:0);
	qDebug("is equal the made one? %d",temp == a?1:0);

	qDebug("-----temp------");
	showmat(temp);


	QTransform abc = temp.inverted();
	qDebug("----temp invert-------");
	showmat(abc);

	qDebug("-----temp1------");
	showmat(temp1);

	qDebug("-----temp1 invert ------");
	showmat(temp1.inverted());



	qDebug("-----------");
	showmat(a);
	QTransform a1 = a.inverted();
	qDebug("-----------");
	showmat(a1);
}

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The result is :
is invertible? 1
is equal the made one? 1
-----temp------
1,0,300
0,1,300
0,0,1
----temp invert-------
1,0,0
0,1,0
0,0,1
-----temp1------
1,0,0
0,1,0
300,300,1
-----temp1 invert ------
1,0,0
0,1,0
-300,-300,1
-----------
1,0,300
0,1,300
0,0,1
-----------
1,0,-300
0,1,-300
0,0,1

The temp's invert is not correct, why?

[marcvanriet]

Just something off-topic : instead of

qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());

qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());

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you can write this :

qDebug() << abc.m31() << abc.m32() << abc.m33();

qDebug() << abc.m31() << abc.m32() << abc.m33();

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Is a lot more convenient and readable.
Regards,
Marc

[calmspeaker]

Just something off-topic : instead of

qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());

qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());

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you can write this :

qDebug() << abc.m31() << abc.m32() << abc.m33();

qDebug() << abc.m31() << abc.m32() << abc.m33();

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Is a lot more convenient and readable.
Regards,
Marc

yes，but must include <QtDebug>.
Thank you all the same.

---

Added after 32 minutes:

I gave up the transpose method that qt supply and rewrote the code, finnally I got the correct result.

#include <QtGui>
void showmat(QTransform abc){
    qDebug("%s",QString("%1,%2,%3").arg(abc.m11()).arg(abc.m12()).arg(abc.m13()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m21()).arg(abc.m22()).arg(abc.m23()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());
}
 
int main()
{
    QTransform a(1,0,300,0,1,300,0,0,1);
	//QTransform temp = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300).transposed();//m_pItem->sceneTransform().transposed();
	QTransform temp1 = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300); //m_pItem->sceneTransform();
	//QTransform temp = temp1.transposed();
	QTransform temp(temp1.m11(),temp1.m21(),temp1.m31(),temp1.m12(),temp1.m22(),temp1.m32(),temp1.m13(),temp1.m23(),temp1.m33());
	qDebug("is invertible? %d",temp.isInvertible()?1:0);
	qDebug("is equal the made one? %d",temp == a?1:0);
 
	qDebug("-----temp------");
	showmat(temp);
	qDebug("temp's Txtype = %d",temp.type());
 
 
	QTransform abc = temp.inverted();
	qDebug("----temp invert-------");
	showmat(abc);
 
	qDebug("-----temp1------");
	showmat(temp1);
 
	qDebug("-----temp1 invert ------");
	showmat(temp1.inverted());
 
 
 
	qDebug("-----------");
	showmat(a);
	qDebug("a's Txtype = %d",temp.type());
	QTransform a1 = a.inverted();
	qDebug("-----------");
	showmat(a1);
}

#include <QtGui>
void showmat(QTransform abc){
    qDebug("%s",QString("%1,%2,%3").arg(abc.m11()).arg(abc.m12()).arg(abc.m13()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m21()).arg(abc.m22()).arg(abc.m23()).toLocal8Bit().data());
	qDebug("%s",QString("%1,%2,%3").arg(abc.m31()).arg(abc.m32()).arg(abc.m33()).toLocal8Bit().data());
}

int main()
{
    QTransform a(1,0,300,0,1,300,0,0,1);
	//QTransform temp = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300).transposed();//m_pItem->sceneTransform().transposed();
	QTransform temp1 = QTransform(1,0,0,0,1,0,0,0,1).translate(300,300); //m_pItem->sceneTransform();
	//QTransform temp = temp1.transposed();
	QTransform temp(temp1.m11(),temp1.m21(),temp1.m31(),temp1.m12(),temp1.m22(),temp1.m32(),temp1.m13(),temp1.m23(),temp1.m33());
	qDebug("is invertible? %d",temp.isInvertible()?1:0);
	qDebug("is equal the made one? %d",temp == a?1:0);

	qDebug("-----temp------");
	showmat(temp);
	qDebug("temp's Txtype = %d",temp.type());


	QTransform abc = temp.inverted();
	qDebug("----temp invert-------");
	showmat(abc);

	qDebug("-----temp1------");
	showmat(temp1);

	qDebug("-----temp1 invert ------");
	showmat(temp1.inverted());



	qDebug("-----------");
	showmat(a);
	qDebug("a's Txtype = %d",temp.type());
	QTransform a1 = a.inverted();
	qDebug("-----------");
	showmat(a1);
}

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But I donnot know why!