
    ^Mh	                     J   d Z ddlZddlZddlmZ ddlmZ ddlm	Z	 ej
        j        Ze	ej
                            d           eddd	g
          gZd ZddZej
                            dg d          ej
                            dg d          d                         ZdS )zTests for spline filtering.    N)assert_almost_equal)ndimage)array_api_compatibleskip_xp_backendsTcupyz	jax.numpy)cpu_only
exceptionsc                 8    dgdgddgddgg dg dd}||          S )z0Knot values to the right of a B-spline's center.         )   L   r   )B      r   r   r         r       )orderknot_valuess     `/var/www/html/test/jupyter/venv/lib/python3.11/site-packages/scipy/ndimage/tests/test_splines.pyget_spline_knot_valuesr      sA    cc!f!f"ll!kk# #K u    mirrorc                    t          |          }t          j        ||f          }t          |          D ]<\  }}t          j        ||          }|dk    r||||f<   (|||||z
  f<   ||||z
  |f<   =|d         dt          |dd                   z  z   }	|dk    rd\  }
}n*|dk    rd\  }
}n|d	k    rd
\  }
}nt          d|           t          t          |          dz
            D ]Z}t          ||dz   d                   D ]=\  }}|||
||z  z   fxx         |z  cc<   || dz
  |
 dz
  ||z  z
  fxx         |z  cc<   >[| 	                    ||	z            S )z1Matrix to invert to find the spline coefficients.r   r   r   Nr   )r   r   reflect)r   r   	grid-wrap)r    zunsupported mode )
r   npzeros	enumeratearangesum
ValueErrorrangelenasarray)xpnr   moder   matrixdiag
knot_valueindicesknot_values_sumstartsteprowidxs                 r   make_spline_knot_matrixr6      s   (//K Xq!fF%k22 9 9j)D!$$199'1F7G#$$.8F7GdN*+.8F7T>7*++!!nq3{122+?+?'??Oxtt			tt			tt3T33444S%%)** B B(S1WXX)>?? 	B 	BOC3S(()))Z7)))C4!8eVaZ$s(22333zA3333	B ::f.///r   r   r   r,   )r   r   r   c                    d}|                     ||j                  }t          j        |d| |          }t          j        |d| |          }t	          ||| |          }t          |||z             t          |||j        z             d S )Nd   )dtyper   )axisr   r,   r   )r,   )eyefloat64r   spline_filter1dr6   r   T)r   r,   r*   r+   r;   spline_filter_axis_0spline_filter_axis_1r-   s           r   %test_spline_filter_vs_matrix_solutionrA   =   s     	A
&&"*&
%
%C"23Qe8<> > >"23Qe8<> > >$RE===F1F:;;;1FH<=====r   )r   )__doc__pytestnumpyr!   scipy._lib._array_apir   scipyr   scipy.conftestr   markr   usefixtures
pytestmarkr   r6   parametrizerA   r   r   r   <module>rL      s   ! !      5 5 5 5 5 5       / / / / / /;/ "FK$;$;<N$O$O&+9NPPPR
	 	 	0 0 0 0D "4"4"455!C!C!CDD	> 	> ED 65	> 	> 	>r   