
    -ii\                         d Z ddlZddlmZmZ ddlmZmZmZm	Z	m
Z
 ddlmZ ddlmZ dZd Zd	 Zd
 Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Z d Z!d Z"d Z#dS )z Test functions for rbf module     N)assert_array_almost_equalassert_almost_equal)linspacesincosexpallclose)Rbf)_run_concurrent_barriermultiquadriczinverse multiquadricgaussiancubicquinticz
thin-platelinearc                    t          ddd          }t          |          }t          |||           } ||          }t          ||           t	           |t          |d                             |d         d           d S )Nr   
   	   functionF)check_0d)r   r   r
   r   r   float)r   xyrbfyis        f/var/www/html/bet.cuttalo.com/ml/venv/lib/python3.11/site-packages/scipy/interpolate/tests/test_rbf.pycheck_rbf1d_interpolationr      s    2aAAA
aX
&
&
&C	QBa$$$E!A$KK((!A$??????    c                    t           j                            d          }|                    dd          dz  dz
  }|                    dd          dz  dz
  }|t	          |dz   d|dz  z  z
            z  }t          |||d|           } |||          }|                    |j                  }t          ||           d S )N  2                          ?epsilonr   	nprandomRandomStaterandr   r
   reshapeshaper   )r   rngr   r   zr   zis          r   check_rbf2d_interpolationr3      s    
)


%
%CAqAAqA	#q!teBq!tGm

A
aAq8
4
4
4C	QB	AG		Ba$$$$$r   c                    t           j                            d          }|                    dd          dz  dz
  }|                    dd          dz  dz
  }|                    dd          dz  dz
  }|t	          |dz   |dz  z
            z  }t          ||||d|           } ||||          }|                    |j                  }t          ||           d S )Nr!   r"   r#   r$   r%   r'   r)   )r   r0   r   r   r1   dr   dis           r   check_rbf3d_interpolationr7   (   s    
)


%
%CQAAQAAQAA	#q!teadl

A
aAq!h
7
7
7C	Q1B	AG		Bb!$$$$$r   c                  t    t           D ]/} t          |            t          |            t          |            0d S N)	FUNCTIONSr   r3   r7   r   s    r   test_rbf_interpolationr;   5   sH     , ,!(+++!(+++!(++++, ,r   c                 Z   t          ddd          }t          |          }t          |          }t          j        ||g          j        }t          ||| d          } ||          }t          ||           t           |t          |d                             |d                    d S )Nr   r   r   N-Dr   mode)
r   r   r   r*   vstackTr
   r   r   r   )r   r   y0y1r   r   r   s          r   check_2drbf1d_interpolationrD   <   s    BA	QB	QB
	2r(A
aXE
2
2
2C	QBa$$$E!A$KK((!A$/////r   c                    t           j                            d          }|                    d          dz  dz
  }|                    d          dz  dz
  }|t	          |dz   d|dz  z  z
            z  }|t	          |dz   d|dz  z  z
            z  }t          j        ||g          j        }t          |||d| d          } |||          }|                    |j	                  }t          ||           d S )Nr!   r"   r$   r%   r&   r=   r(   r   r?   r*   r+   r,   r-   r   r@   rA   r
   r.   r/   r   )	r   r0   r   r   z0z1r1   r   r2   s	            r   check_2drbf2d_interpolationrJ   H   s    
)


%
%CQAQA	
S!q&2Q;&''	'B	
S!q&2Q;&''	'B
	2r(A
aAq8%
@
@
@C	QB	AG		Ba$$$$$r   c           	      &   t           j                            d          }|                    d          dz  dz
  }|                    d          dz  dz
  }|                    d          dz  dz
  }|t	          |dz   |dz  z
            z  }|t	          |dz   |dz  z
            z  }t          j        ||g          j        }t          ||||d| d          } ||||          }	|	                    |j	                  }	t          |	|           d S )Nr!   r"   r$   r%   r=   rF   rG   )
r   r0   r   r   r1   d0d1r5   r   r6   s
             r   check_2drbf3d_interpolationrN   V   s   
)


%
%CQAQAQA	
S!q&16!""	"B	
S!q&16!""	"B
	2r(A
aAq!hU
C
C
CC	Q1B	AG		Bb!$$$$$r   c                  t    t           D ]/} t          |            t          |            t          |            0d S r9   )r:   rD   rJ   rN   r   s    r   test_2drbf_interpolationrP   e   sH     . .#H---#H---#H----. .r   c                 ^   t          ddd          }t          |          }t          |||           }t          ddd          } ||          }dt          |t          |          z
                                            d}t          |t          |          |          s
J |            d S )	Nr   r   r   r   d   
abs-diff: fatol)r   r   r
   absmaxr	   )r   rV   r   r   r   xir   msgs           r   check_rbf1d_regularityr[   l   s     	BAAA
aX
&
&
&C	!R		B	RB
2s2B<((,,..
2
2
2CBBd+++00S00000r   c                  v    dddddddd} t           D ]&}t          ||                     |d                     'd S Ng?g333333?g?r   g{Gz?)r:   r[   get
tolerancesr   s     r   test_rbf_regularityra   x   sc     $ J  I Ix$)G)GHHHHI Ir   c           
      L   t          ddd          }t          |          }t          |          }t          j        ||g          j        }t          ||| d          }t          ddd          } ||          }dt          |t          j        t          |          t          |          g          j        z
                                            d}	t          |t          j        t          |          t          |          g          j        |	          s
J |	            d S )
Nr   r   r   r=   r>   rR   rS   rT   rU   )
r   r   r   r*   r@   rA   r
   rW   rX   r	   )
r   rV   r   rB   rC   r   r   rY   r   rZ   s
             r   check_2drbf1d_regularityrc      s    	BA	QB	QB
	2r(A
aXE
2
2
2C	!R		B	RB
Js2	3r77CGG*< = = ??@@DDFF
J
J
JCB	3r77CGG"4557dCCCHHSHHHHHr   c                  v    dddddddd} t           D ]&}t          ||                     |d                     'd S r]   )r:   rc   r^   r_   s     r   test_2drbf_regularityre      sc     $ J  K K :>>(D+I+IJJJJK Kr   c                    t           j                            d          }t          j        ddd          }|d|                    t          |                    z  z   }t          |||           }t          j        ddd          } ||          }t          j        ||z
                                            t          j        ||z
                                            z  dk     sJ d S )	Nr!   r   r   r"   g      @r   i  g?)	r*   r+   r,   r   randnlenr
   rW   rX   )r   r0   r   r1   r   rY   r   s          r   check_rbf1d_stabilityri      s    
 )


%
%C
Ar2A	C#))CFF####A
aX
&
&
&C	QD	!	!B	RB 6"R%==!!2!22S888888r   c                  8    t           D ]} t          |            d S r9   )r:   ri   r   s    r   test_rbf_stabilityrk      s,     ( (h''''( (r   c                      t          ddd          } t          |           }t          | |          } ||           }t          ||           d S )Nr   r   r   r   r   r
   r   )r   r   r   r   s       r   test_default_constructionrn      sP     	2aAAA
a))C	QBa$$$$$r   c                      t          ddd          } t          |           }d }t          | ||          } ||           }t          ||           d S )Nr   r   r   c                     | S r9    )r   s    r   linfuncz*test_function_is_callable.<locals>.linfunc   s    r   r   rm   )r   r   rr   r   r   s        r   test_function_is_callablers      sd    2aAAA  
aW
%
%
%C	QBa$$$$$r   c                      d } t          ddd          }t          |          }t          |||           } ||          }t          ||           d S )Nc                     | j         |z   S r9   r(   )selfrs     r   _funcz0test_two_arg_function_is_callable.<locals>._func   s    |ar   r   r   r   r   rm   )ry   r   r   r   r   s        r   !test_two_arg_function_is_callablerz      sf          	2aAAA
aU
#
#
#C	QBa$$$$$r   c                  j    t          ddd          } t          |           }t          | |d            d S )Nr   r   r   rv   )r   r   r
   )r   r   s     r   test_rbf_epsilon_noner|      s9    BAAA1dr   c                  ^    g d} g d}g d}t          | ||d           }|j        dk    sJ d S )N)r#   r%      )r$   r$   r$   )         rv   r   )r
   r(   )r   r   r1   r   s       r   test_rbf_epsilon_none_collinearr      sH     			A		A		A
aAt
$
$
$C;??????r   c                      t          ddd          } t          |           }t          |           }t          j        ||g          j        }t          | |d          }d }t          d|||            d S )Nr   r   rR   r=   )r?   c                      ||           d S r9   rq   )_interpxps      r   	worker_fnz'test_rbf_concurrency.<locals>.worker_fn   s    r




r   )r   r   r   r*   r@   rA   r
   r   )r   rB   rC   r   r   r   s         r   test_rbf_concurrencyr      s~    BA	QB	QB
	2r(A
a


C   B	322222r   )$__doc__numpyr*   scipy._lib._array_apir   r   r   r   r   r   r	   scipy.interpolate._rbfr
   scipy._lib._testutilsr   r:   r   r3   r7   r;   rD   rJ   rN   rP   r[   ra   rc   re   ri   rk   rn   rs   rz   r|   r   r   rq   r   r   <module>r      s   % %     Q P P P P P P P 3 3 3 3 3 3 3 3 3 3 3 3 3 3 & & & & & & 9 9 9 9 9 99	@ @ @	% 	% 	%
% 
% 
%, , ,	0 	0 	0% % %% % %. . .	1 	1 	1I I II I IK K K9 9 9 ( ( (
% % %% % %
% 
% 
%    
3 
3 
3 
3 
3r   