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    fŠtj»  ã                   ój   — d dl Zd dlmZ d dlmZ ddlmZ ddlm	Z
mZmZ d„ Zd„ Zd	„ Zd
„ Z	d„ Zd„ ZdS )é    N)ÚLinAlgError)Údgesvé   )Ú_monomial_powers_impl)Ú_build_systemÚ_build_evaluation_coefficientsÚ_polynomial_matrixc           	      ó,   — t          | ||||||¦  «        S ©N)Ú&_pythran_build_evaluation_coefficients)ÚxÚyÚkernelÚepsilonÚpowersÚshiftÚscaleÚxps           ú]/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/scipy/interpolate/_rbfinterp_np.pyr   r      s%   € õ 2Ø	ˆ1ˆf�g˜v u¨eñô ð ó    c                 ó"   — t          | |¦  «        S r   )Ú_pythran_polynomial_matrix)r   r   r   s      r   Úpolynomial_matrixr      s   € Ý% a¨Ñ0Ô0Ð0r   c                 ó¸   — t          | |¦  «        }t          j        |t          j        ¬¦  «        }t	          |¦  «        dk    r|                     d| ¦  «        }|S )N)Údtyper   )r   ÚnpÚasarrayÚint64ÚlenÚreshape)ÚndimÚdegreer   Úouts       r   Ú_monomial_powersr$      sN   € Ý
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ˆ3�x„x�1‚}€}Ø�kŠk˜!˜TÑ"Ô"ˆØ€Jr   c                 ó*   — t          | |||||¦  «        S r   )Ú_pythran_build_system)r   ÚdÚ	smoothingr   r   r   r   s          r   r   r   !   s   € Ý   A y°&¸'À6ÑJÔJÐJr   c           	      ó‚  — t          | ||||||¦  «        \  }}}	}
t          ||dd¬¦  «        \  }}}}|dk     rt          d| › d�¦  «        ‚|dk    rid}|j        d         }|dk    rEt	          | |	z
  |
z  ||¦  «        }t
          j                             |¦  «        }||k     r	d|› d|› d	�}t          |¦  «        ‚|	|
|fS )
a   Build and solve the RBF interpolation system of equations.

    Parameters
    ----------
    y : (P, N) float ndarray
        Data point coordinates.
    d : (P, S) float ndarray
        Data values at `y`.
    smoothing : (P,) float ndarray
        Smoothing parameter for each data point.
    kernel : str
        Name of the RBF.
    epsilon : float
        Shape parameter.
    powers : (R, N) int ndarray
        The exponents for each monomial in the polynomial.

    Returns
    -------
    coeffs : (P + R, S) float ndarray
        Coefficients for each RBF and monomial.
    shift : (N,) float ndarray
        Domain shift used to create the polynomial matrix.
    scale : (N,) float ndarray
        Domain scaling used to create the polynomial matrix.

    T)Úoverwrite_aÚoverwrite_br   zThe z"-th argument had an illegal value.zSingular matrix.zqSingular matrix. The matrix of monomials evaluated at the data point coordinates does not have full column rank (ú/z).)	r   r   Ú
ValueErrorÚshaper   r   ÚlinalgÚmatrix_rankr   )r   r'   r(   r   r   r   r   ÚlhsÚrhsr   r   Ú_ÚcoeffsÚinfoÚmsgÚnmonosÚpmatÚranks                     r   Ú_build_and_solve_systemr:   %   s  € õ8 +Ø	ˆ1ˆi˜ ¨&°"ñ
ô 
Ñ€Cˆˆe�Uõ ˜s C°TÀtÐLÑLÔLÑ€A€qˆ&�$Øˆa‚x€xÝÐI  ÐIÐIÐIÑJÔJÐJØ	�ŠˆØ ˆØ”˜a”ˆØ�AŠ:ˆ:Ý$ a¨%¡i°Ñ%6¸ÀÑCÔCˆDÝ”9×(Ò(¨Ñ.Ô.ˆDØ�fŠ}ˆ}ð/à!ð/ð /à$*ð/ð /ð /ð õ ˜#ÑÔÐà�%˜ÐÐr   c	           
      ó8   — t          | |||||||¦  «        }	|	|z  S r   )r   )
r   r   r   r   r   r   r   r4   r   Úvecs
             r   Úcompute_interpolationr=   X   s.   € Ý
(Ø	ˆ1ˆf�g˜v u¨e°Rñô €Cð �‰<Ðr   )Únumpyr   Únumpy.linalgr   Úscipy.linalg.lapackr   Ú_rbfinterp_commonr   Ú_rbfinterp_pythranr   r&   r   r   r	   r   r   r$   r:   r=   © r   r   ú<module>rD      sá   ðØ Ð Ð Ð Ø $Ð $Ð $Ð $Ð $Ð $Ø %Ð %Ð %Ð %Ð %Ð %Ø 4Ð 4Ð 4Ð 4Ð 4Ð 4ðð ð ð ð ð ð ð ð ð ðð ð ð1ð 1ð 1ðð ð ðKð Kð Kð1 ð 1 ð 1 ðfð ð ð ð r   