public void magnify(int newCenterRow, int newCenterCol, int magnificationFactor){

        int centerRow = this.rows/2;
        int centerCol = this.cols/2;

        double realTop, imgTop;
        //calculate the new value of the top left corner.
        realTop = this.topLeftCorner.getReal() + this.xStepSize * newCenterCol;
        imgTop =this.topLeftCorner.getImg() - this.yStepSize * newCenterRow;

        this.topLeftCorner = new Complex(realTop, imgTop);

        this.xStepSize =(double)(this.xStepSize/magnificationFactor);
        this.yStepSize =(double)(this.yStepSize/magnificationFactor);

        //change the image
        this.shift(0,0, centerRow, centerCol);
    }

    /**
     * Shift this Mandelbrot plane such the source point (srcRow,srcCol) will move to (destRow,destCol).
     * @param srcRow - Row of the origin point.
     * @param srcCol - Column of the origin point.
     * @param destRow - Row of the destination point.
     * @param destCol - Column of the destination point.
     */
    public void shift(int srcRow, int srcCol, int destRow, int destCol){

        int newRow = destRow-srcRow;
        int newCol = destCol-srcCol;
        //calculate the new top left corner.
        double newReal = this.topLeftCorner.getReal() - newCol* this.xStepSize;
        double newImg = this.topLeftCorner.getImg() + newRow*this.yStepSize;

        this.topLeftCorner = new Complex(newReal, newImg);
    }