def _epd_function(coeffs, fsv, fdv, fkv, xcc, ycc, bgv, bge, iha, izd):
    '''
    This is the EPD function to fit using a smoothed mag-series.

    '''

    return (coeffs[0]*fsv*fsv +
            coeffs[1]*fsv +
            coeffs[2]*fdv*fdv +
            coeffs[3]*fdv +
            coeffs[4]*fkv*fkv +
            coeffs[5]*fkv +
            coeffs[6] +
            coeffs[7]*fsv*fdv +
            coeffs[8]*fsv*fkv +
            coeffs[9]*fdv*fkv +
            coeffs[10]*np.sin(2*pi_value*xcc) +
            coeffs[11]*np.cos(2*pi_value*xcc) +
            coeffs[12]*np.sin(2*pi_value*ycc) +
            coeffs[13]*np.cos(2*pi_value*ycc) +
            coeffs[14]*np.sin(4*pi_value*xcc) +
            coeffs[15]*np.cos(4*pi_value*xcc) +
            coeffs[16]*np.sin(4*pi_value*ycc) +
            coeffs[17]*np.cos(4*pi_value*ycc) +
            coeffs[18]*bgv +
            coeffs[19]*bge +
            coeffs[20]*iha +
            coeffs[21]*izd)
def _epd_function(coeffs, fsv, fdv, fkv, xcc, ycc, bgv, bge, iha, izd):
    '''
    This is the EPD function to fit using a smoothed mag-series.

    '''

    return (coeffs[0]*fsv*fsv +
            coeffs[1]*fsv +
            coeffs[2]*fdv*fdv +
            coeffs[3]*fdv +
            coeffs[4]*fkv*fkv +
            coeffs[5]*fkv +
            coeffs[6] +
            coeffs[7]*fsv*fdv +
            coeffs[8]*fsv*fkv +
            coeffs[9]*fdv*fkv +
            coeffs[10]*np.sin(2*pi_value*xcc) +
            coeffs[11]*np.cos(2*pi_value*xcc) +
            coeffs[12]*np.sin(2*pi_value*ycc) +
            coeffs[13]*np.cos(2*pi_value*ycc) +
            coeffs[14]*np.sin(4*pi_value*xcc) +
            coeffs[15]*np.cos(4*pi_value*xcc) +
            coeffs[16]*np.sin(4*pi_value*ycc) +
            coeffs[17]*np.cos(4*pi_value*ycc) +
            coeffs[18]*bgv +
            coeffs[19]*bge +
            coeffs[20]*iha +
            coeffs[21]*izd)
def _epd_function ( coeffs , fsv , fdv , fkv , xcc , ycc , bgv , bge , iha , izd ) : return ( coeffs [ 0 ] * fsv * fsv + coeffs [ 1 ] * fsv + coeffs [ 2 ] * fdv * fdv + coeffs [ 3 ] * fdv + coeffs [ 4 ] * fkv * fkv + coeffs [ 5 ] * fkv + coeffs [ 6 ] + coeffs [ 7 ] * fsv * fdv + coeffs [ 8 ] * fsv * fkv + coeffs [ 9 ] * fdv * fkv + coeffs [ 10 ] * np . sin ( 2 * pi_value * xcc ) + coeffs [ 11 ] * np . cos ( 2 * pi_value * xcc ) + coeffs [ 12 ] * np . sin ( 2 * pi_value * ycc ) + coeffs [ 13 ] * np . cos ( 2 * pi_value * ycc ) + coeffs [ 14 ] * np . sin ( 4 * pi_value * xcc ) + coeffs [ 15 ] * np . cos ( 4 * pi_value * xcc ) + coeffs [ 16 ] * np . sin ( 4 * pi_value * ycc ) + coeffs [ 17 ] * np . cos ( 4 * pi_value * ycc ) + coeffs [ 18 ] * bgv + coeffs [ 19 ] * bge + coeffs [ 20 ] * iha + coeffs [ 21 ] * izd )
This is the EPD function to fit using a smoothed mag-series.
This is the EPD function to fit using a smoothed mag - series .