I'm trying to implement rotation functions for a camera. Here is some code:

void dbCamera::rotateAroundXYZ(dbVector3 position, float angle){	// from: http://www.gamedev.net/topic/183293-camera-rotating-a-vector-around-an-arbitrary-axis/	dbVector3 vNewView;	dbVector3 vView = camPos - camDirection;		float cosTheta = cos(angle);	float sinTheta = sin(angle);		// x position of the new rotated point	vNewView.x	= (cosTheta + (1 - cosTheta) * position.x * position.x) * vView.x;	vNewView.x += ((1 - cosTheta) * position.x * position.y - position.z * sinTheta) * position.y;	vNewView.x += ((1 - cosTheta) * position.x * position.z + position.y * sinTheta) * vView.z;	// y position of the new rotated point	vNewView.y  = ((1 - cosTheta) * position.x * position.y + position.z * sinTheta)	* vView.x;	vNewView.y += (cosTheta + (1 - cosTheta) * position.y * position.y)		* vView.y;	vNewView.y += ((1 - cosTheta) * position.y * position.z - position.x * sinTheta)	* vView.z;	// z position of the new rotated point	vNewView.z   = ((1 - cosTheta) * position.x * position.z - position.y * sinTheta)	* vView.x;	vNewView.z  += ((1 - cosTheta) * position.y * position.z + position.x * sinTheta)	* vView.y;	vNewView.z  += (cosTheta + (1 - cosTheta) * position.z * position.z)		* vView.z;	camPos = camDirection + vNewView;}

This seems to work for now. My problem now is the looAt function:

void dbCamera::lookAt(dbVector3 target){	// from: http://msdn.microsoft.com/en-us/library/windows/desktop/bb281710%28v=vs.85%29.aspx	camDirection = dbVector3Norm(target - camPos);	camRight = dbVector3Norm(dbVector3Cross(camUp, camDirection));	camUp = dbVector3Norm( dbVector3Cross(camDirection, camRight) );}

The function names should be self-explanatory. The bug acts when I try to rotate around an axis while looking at a point on the axis.
What I want to achieve is a camera which can rotate around an object and always looks at it (like a 3rd person camera).
What the camera does is...well, rotate around itself during the rotation.

OMG...figured out by myself. The formula I was using for the lookAt was wrong.

    void dbCamera::lookAt(dbVector3 target)
    {
    camUp = dbVector3(0.f, 1.f, 0.f);          // this is what was missing...
    
    // from: http://msdn.microsoft.com/en-us/library/windows/desktop/bb281710%28v=vs.85%29.aspx
    camDirection = dbVector3Norm(target - camPos);
    camRight = dbVector3Norm(dbVector3Cross(camUp, camDirection));
    camUp = dbVector3Norm( dbVector3Cross(camDirection, camRight) );
    }

I confused the camera up-vector with the world up-vector...