Morphological operations (erode / dilate) have problems when number of iterations > 1 on a full kernel (Bug #2348)

There is a problem in
opencv\modules\imgproc\src\morph.cpp

in

static void morphOp( int op, InputArray _src, OutputArray _dst,
InputArray _kernel,
Point anchor, int iterations,
int borderType, const Scalar& borderValue )

There is an optimization: instead of iterating iter times, a larger kernel is constructed. The intention is good, but the implementation is not.

The correct kernel size should be:
kernel = getStructuringElement(MORPH_RECT,
Size(ksize.width + (iterations-1)*(ksize.width-1),
ksize.height + (iterations-1)*(ksize.height-1)),
anchor);

The snippet of code should be:

@else if( iterations > 1 && countNonZero(kernel) == kernel.rows*kernel.cols )
{
        anchor = Point(anchor.x*iterations, anchor.y*iterations);
        kernel = getStructuringElement(MORPH_RECT,
                                       Size(ksize.width + (iterations-1)*(ksize.width-1),
                                            ksize.height + (iterations-1)*(ksize.height-1)),
                                       anchor);
        iterations = 1;
    }@

In order to test, one should expect that on a test image:

cv::dilate(Input, Output1, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 2);
cv::erode(Input, Output1, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 2);

and

cv::dilate(Input, Output2, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 1);
cv::dilate(Output2, Output2, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 1);
cv::erode(Output2, Output2, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 1);
cv::erode(Output2, Output2, cv::Mat::ones(3,3,CV_8U), cv::Point(-1,-1), 1);

should produce the same results, and they do not.
See the attached images.