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 | ƒ ƒ ‚ | S(   sô  Lomb-Scargle Periodogram

    This implements a chi-squared-based periodogram, which is relatively slow
    but useful for validating the faster algorithms in the package.

    Parameters
    ----------
    t, y, dy : array_like (NOT astropy.Quantities)
        times, values, and errors of the data points. These should be
        broadcastable to the same shape.
    frequency : array_like
        frequencies (not angular frequencies) at which to calculate periodogram
    normalization : string (optional, default='standard')
        Normalization to use for the periodogram.
        Options are 'standard', 'model', 'log', or 'psd'.
    fit_mean : bool (optional, default=True)
        if True, include a constant offset as part of the model at each
        frequency. This can lead to more accurate results, especially in the
        case of incomplete phase coverage.
    center_data : bool (optional, default=True)
        if True, pre-center the data by subtracting the weighted mean
        of the input data. This is especially important if ``fit_mean = False``
    nterms : int (optional, default=1)
        Number of Fourier terms in the fit

    Returns
    -------
    power : array_like
        Lomb-Scargle power associated with each frequency.
        Units of the result depend on the normalization.

    References
    ----------
    .. [1] M. Zechmeister and M. Kurster, A&A 496, 577-584 (2009)
    .. [2] W. Press et al, Numerical Recipes in C (2002)
    .. [3] Scargle, J.D. 1982, ApJ 263:835-853
    i   s"   t, y, dy should be one dimensionals#   frequency should be one-dimensionalg       Àc      	     sm   t  ˆ |  d ˆ  d ˆ d ˆ ƒ} t j | j | ƒ } t j | j ˆ ƒ } t j | j t j j | | ƒ ƒ S(   Nt   dyt   biast   nterms(   R   t   npt   dott   Tt   linalgt   solve(   t   ft   Xt   XTXt   XTy(   R   t   fit_meanR   t   tt   yw(    sR   lib/python2.7/site-packages/astropy/stats/lombscargle/implementations/chi2_impl.pyt   compute_powerE   s    !t   psdg      à?t   modelt   logR   s"   normalization='{0}' not recognizedN(   t   NoneR   t   broadcast_arrayst   asarrayt   ndimt
   ValueErrort   sumR   t   arrayR   t   format(   R   t   yR   t	   frequencyt   normalizationR   t   center_dataR   t   wt   chi2_refR   R   t   p(    (   R   R   R   R   R   sR   lib/python2.7/site-packages/astropy/stats/lombscargle/implementations/chi2_impl.pyt   lombscargle_chi2   s6    '	
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   __future__R    R   t   numpyR   t   mleR   t   TrueR&   (    (    (    sR   lib/python2.7/site-packages/astropy/stats/lombscargle/implementations/chi2_impl.pyt   <module>   s   