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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def rotate(self, clat, clon, coord_degrees=True, dj_matrix=None, nwinrot=None):
 """" Rotate the spherical-cap windows centered on the North pole to clat and clon, and save the spherical harmonic coefficients in the attribute coeffs. Usage ----- x.rotate(clat, clon [coord_degrees, dj_matrix, nwinrot]) Parameters clat, clon : float Latitude and longitude of the center of the rotated spherical-cap localization windows (default in degrees). coord_degrees : bool, optional, default = True True if clat and clon are in degrees. dj_matrix : ndarray, optional, default = None The djpi2 rotation matrix computed by a call to djpi2. nwinrot : int, optional, default = (lwin+1)**2 The number of best concentrated windows to rotate, where lwin is the spherical harmonic bandwidth of the localization windows. Description This function will take the spherical-cap localization windows centered at the North pole (and saved in the attributes tapers and orders), rotate each function to the coordinate (clat, clon), and save the spherical harmonic coefficients in the attribute coeffs. Each column of coeffs contains a single window, and the coefficients are ordered according to the convention in SHCilmToVector. """

        self.coeffs = _np.zeros(((self.lwin + 1)**2, self.nwin))
        self.clat = clat
        self.clon = clon
        self.coord_degrees = coord_degrees

        if nwinrot is not None:
            self.nwinrot = nwinrot
        else:
            self.nwinrot = self.nwin

        if self.coord_degrees:
            angles = _np.radians(_np.array([0., -(90. - clat), -clon]))
        else:
            angles = _np.array([0., -(_np.pi/2. - clat), -clon])

        if dj_matrix is None:
            if self.dj_matrix is None:
                self.dj_matrix = _shtools.djpi2(self.lwin + 1)
                dj_matrix = self.dj_matrix
            else:
                dj_matrix = self.dj_matrix

        if ((coord_degrees is True and clat == 90. and clon == 0.) or
                (coord_degrees is False and clat == _np.pi/2. and clon == 0.)):
            for i in range(self.nwinrot):
                coeffs = self._taper2coeffs(i)
                self.coeffs[:, i] = _shtools.SHCilmToVector(coeffs)

        else:
            coeffs = _shtools.SHRotateTapers(self.tapers, self.orders,
                                             self.nwinrot, angles, dj_matrix)
            self.coeffs = coeffs