
    bi\                         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#y)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       y )Nr   
   	   functionF)check_0d)r   r   r
   r   r   float)r   xyrbfyis        [/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/scipy/interpolate/tests/test_rbf.pycheck_rbf1d_interpolationr      sW    2aAAA
aX
&C	QBa$E!A$K(!A$?    c                 X   t         j                  j                  d      }|j                  dd      dz  dz
  }|j                  dd      dz  dz
  }|t	        |dz   d|dz  z  z
        z  }t        |||d|       } |||      }|j                  |j                        }t        ||       y )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
4C	QB	AGG	Ba$r   c                    t         j                  j                  d      }|j                  dd      dz  dz
  }|j                  dd      dz  dz
  }|j                  dd      dz  dz
  }|t	        |dz   |dz  z
        z  }t        ||||d|       } ||||      }|j                  |j                        }t        ||       y )Nr!   r"   r#   r$   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
7C	Q1B	AGG	Bb!$r   c                  \    t         D ]#  } t        |        t        |        t        |        % y N)	FUNCTIONSr   r3   r7   r   s    r   test_rbf_interpolationr;   5   s)     ,!(+!(+!(+,r   c                    t        ddd      }t        |      }t        |      }t        j                  ||g      j
                  }t        ||| d      } ||      }t        ||       t         |t        |d               |d          y )Nr   r   r   N-Dr   mode)
r   r   r   r*   vstackTr
   r   r   r   )r   r   y0y1r   r   r   s          r   check_2drbf1d_interpolationrD   <   sx    BA	QB	QB
		2r(A
aXE
2C	QBa$E!A$K(!A$/r   c                    t         j                  j                  d      }|j                  d      dz  dz
  }|j                  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                  |j                        }t        ||       y )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	AGG	Ba$r   c           	         t         j                  j                  d      }|j                  d      dz  dz
  }|j                  d      dz  dz
  }|j                  d      dz  dz
  }|t	        |dz   |dz  z
        z  }|t	        |dz   |dz  z
        z  }t        j
                  ||g      j                  }t        ||||d| d      } ||||      }	|	j                  |j                        }	t        |	|       y )Nr!   r"   r$   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
CC	Q1B	AGG	Bb!$r   c                  \    t         D ]#  } t        |        t        |        t        |        % y r9   )r:   rD   rJ   rN   r   s    r   test_2drbf_interpolationrP   e   s)     .#H-#H-#H-.r   c                    t        ddd      }t        |      }t        |||       }t        ddd      } ||      }dt        |t        |      z
        j	                         d}t        |t        |      |      sJ |       y )	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s2B<(,,.q1
2CBBd+0S0+r   c                  f    dddddddd} t         D ]  }t        || j                  |d               y Ng?g333333?g?r   g{Gz?)r:   r[   get
tolerancesr   s     r   test_rbf_regularityra   x   sF     $J  Ix$)GHIr   c           
         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
        j                         d}	t        |t        j                  t        |      t        |      g      j
                  |	      sJ |	       y )
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
2C	!R	B	RBs2		3r7CG*< = ? ??@DDFqI
JCB		3r7CG"4577dCHSHCr   c                  f    dddddddd} t         D ]  }t        || j                  |d               y r]   )r:   rc   r^   r_   s     r   test_2drbf_regularityre      sF     $J  K :>>(D+IJKr   c                    t         j                  j                  d      }t        j                  ddd      }|d|j	                  t        |            z  z   }t        |||       }t        j                  ddd      } ||      }t        j                  ||z
        j                         t        j                  ||z
        j                         z  dk  sJ y )	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F###A
aX
&C	QD	!B	RB 66"R%=!!22S888r   c                  0    t         D ]  } t        |         y r9   )r:   ri   r   s    r   test_rbf_stabilityrk      s     (h'(r   c                  t    t        ddd      } t        |       }t        | |      } ||       }t        ||       y )Nr   r   r   r   r   r
   r   )r   r   r   r   s       r   test_default_constructionrn      s9     	2aAAA
a)C	QBa$r   c                  ~    t        ddd      } t        |       }d }t        | ||      } ||       }t        ||       y )Nr   r   r   c                     | S r9    )r   s    r   linfuncz*test_function_is_callable.<locals>.linfunc   s    r   r   rm   )r   r   rr   r   r   s        r   test_function_is_callablers      s?    2aAAA
aW
%C	QBa$r   c                  ~    d } t        ddd      }t        |      }t        |||       } ||      }t        ||       y )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      sA      	2aAAA
aU
#C	QBa$r   c                  P    t        ddd      } t        |       }t        | |d        y )Nr   r   r   rv   )r   r   r
   )r   r   s     r   test_rbf_epsilon_noner|      s%    BAAA1dr   c                  \    g d} g d}g d}t        | ||d       }|j                  dkD  sJ y )N)r#   r%      )r$   r$   r$   )         rv   r   )r
   r(   )r   r   r1   r   s       r   test_rbf_epsilon_none_collinearr      s3     	AAA
aAt
$C;;??r   c                      t        ddd      } t        |       }t        |       }t        j                  ||g      j
                  }t        | |d      }d }t        d|||        y )Nr   r   rR   r=   )r?   c                      ||       y r9   rq   )_interpxps      r   	worker_fnz'test_rbf_concurrency.<locals>.worker_fn   s	    r
r   )r   r   r   r*   r@   rA   r
   r   )r   rB   rC   r   r   r   s         r   test_rbf_concurrencyr      s]    BA	QB	QB
		2r(A
a
C B	32r   )$__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 3 3 & 99	@	%
%,	0%%.	1IIK9 (
%%
%
3r   