a
    hVH                     @   s   d dl Z d dlZd dlZd dlm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mZmZ d dlmZ dd	 Zd
d Zdd Zdd Zejdeedd ZG dd dZG dd deZG dd deZG dd deZdS )    N)LinAlgError)assert_allclose)Halton)cKDTree)
_AVAILABLE_SCALE_INVARIANT_NAME_TO_MIN_DEGREE_monomial_powersRBFInterpolator)_rbfinterp_pythranc                 C   s   t | jd |}t| |S )N   )r	   shaper   Z_polynomial_matrix)xdegreeZpowers r   b/var/www/html/assistant/venv/lib/python3.9/site-packages/scipy/interpolate/tests/test_rbfinterp.py_vandermonde   s    r   c                 C   sH   | d d df } dt |  dt d|    dt d|     }|S )Nr   g
ףp=
@      npexp)r   yr   r   r   _1d_test_function   s    4r   c                 C   s   | d d df | d d df  }}dt d| d d  d d| d d d   }dt d| d d  d d| d d   }d	t d| d
 d  d d| d d d   }dt d| d d  d| d
 d   }|| | | }|S )Nr   r   g      ?	      r   1   
   g      ?   r   gɿr   )r   x1Zx2Zterm1Zterm2Zterm3Zterm4r   r   r   r   _2d_test_function   s    "404,r"   c              
   C   s   d}d}dD ]}t |dtj d}t|D ]}d|| d }t|| }t||d }	tjj	|	dd	\}
}|
d d |	j
d d f }|j||}ztj| W q, tjjy   Y   dS 0 q,qd
S )Nr   d   )r   r   r   r      FZscrambleseedr   r   Zcomplete)modeT)r   r   randomRandomStateranger   Z_kernel_matrixr   linalgZqrr   TdotZcholeskyr   )kernelmnxZntestsndimseq_r   APQRZQ2Br   r   r   #_is_conditionally_positive_definite*   s     r9   r.   c                 C   s"   t | dd }t| |sJ d S )Nr   )r   getr9   )r.   r/   r   r   r   $test_conditionally_positive_definiteI   s    r<   c                   @   s@  e Zd Zejdeedd Zejdeedd Z	ejdee
dd Zdd	 Zejjd
d Zdd Zdd Zejdee
dd Zejdee
dd Zejdee
dd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Z d0d1 Z!d2S )3_TestRBFInterpolatorr.   c                 C   sv   t ddtj d}d|d }t|}d|d }| j||d|d|}| j||d|d|}t||d	d
 d S )Nr   Fr%   r   2         ?epsilonr.          @:0yE>Zatol)r   r   r(   r)   r   buildr   selfr.   r2   r   r   xitpyitp1yitp2r   r   r   test_scale_invariance_1dS   s    z-_TestRBFInterpolator.test_scale_invariance_1dc                 C   sn   t ddtj d}|d}t|}|d}| j||d|d|}| j||d|d|}t||dd	 d S )
Nr   Fr%   r#   r?   r@   rB   rC   rD   )r   r   r(   r)   r"   rE   r   rF   r   r   r   test_scale_invariance_2d_   s    

z-_TestRBFInterpolator.test_scale_invariance_2dc           
      C   s   t ddtj d}d}d}|d}t|}|d}|tv rz| j|||d|}| j|| | ||d|| | }	n@| j||d|d	|}| j|| | |d| |d	|| | }	t||	d
d d S )Nr   Fr%   gd~QJgAjZKr#   r.         @r@   rC   rD   )r   r   r(   r)   r"   r   rE   r   )
rG   r.   r2   scaleshiftr   r   rH   rI   rJ   r   r   r   test_extreme_domainsk   s.    



z)_TestRBFInterpolator.test_extreme_domainsc                 C   s   t jd}tdd|d}d}|d}|d}t||}t||}|dd|jd	 }||}	||}
| j||	|d
|}t	|
|dd d S )Nr   r   Fr%   r   r>           r?   r   r   rC   rD   )
r   r(   r)   r   r   normalr   r-   rE   r   )rG   rngr2   r   r   rH   r5   Pitppoly_coeffsr   rI   rJ   r   r   r   test_polynomial_reproduction   s    





z1_TestRBFInterpolator.test_polynomial_reproductionc                    s   t jd}tdd|d}d}d}|d}||}t||}t||}	|dd	|jd
 }
||
}|	|
}| j|||d}|j	  fdd}|
|d| ||}t||dd d S )Nr   r   Fr%   r   i	  r>   rR   r?   r   rS   c                     s   |j dd  | i |S )Nr#   )Zmemory_budget)update)argskwargsZce_realr   r   _chunk_evaluator   s    z<_TestRBFInterpolator.test_chunking.<locals>._chunk_evaluatorr]   rC   rD   )r   r(   r)   r   r   rT   r   r-   rE   r]   setattrr   )rG   ZmonkeypatchrU   r2   r   ZlargeNr   rH   r5   rV   rW   r   rI   interpr]   rJ   r   r\   r   test_chunking   s"    





z"_TestRBFInterpolator.test_chunkingc              	   C   s   t ddtj d}|d}|d}tt|t|d d d d df gj}| |||}| ||d d df |}| ||d d df |}t|d d df | t|d d df | d S )Nr   Fr%   r#   r:   r   r   )	r   r   r(   r)   arrayr"   r,   rE   r   rG   r2   r   rH   r   rI   rJ   Zyitp3r   r   r   test_vector_data   s    


z%_TestRBFInterpolator.test_vector_datac                 C   s   t ddtj d}|d}|d}t|dt|d d d d df   }| |||}| ||j|}| ||j|}t|j| t|j| d S )Nr   Fr%   r#   y              ?r:   )	r   r   r(   r)   r"   rE   realimagr   rb   r   r   r   test_complex_data   s    

&z&_TestRBFInterpolator.test_complex_datac           	      C   sx   t ddtj d}d|d }d|d }t|}t|}| j||d|d|}t|| d }|d	k stJ d S )
Nr   Fr%   r   r>   rN   r@   r   -C6?)r   r   r(   r)   r   rE   mean	rG   r.   r2   r   rH   r   ytrueyitpZmser   r   r   test_interpolation_misfit_1d   s    z1_TestRBFInterpolator.test_interpolation_misfit_1dc           	      C   sp   t ddtj d}|d}|d}t|}t|}| j||d|d|}t|| d }|dk slJ d S )Nr   Fr%   r#   rN   r@   g-C6*?)r   r   r(   r)   r"   rE   rh   ri   r   r   r   test_interpolation_misfit_2d   s    

z1_TestRBFInterpolator.test_interpolation_misfit_2dc                 C   s   t jd}tdd|d}d}d}dt ddd	 }d
|d }t||d|d }t|}	d}
|D ]D}| j||d||d|}t t 	||	 d }||k rhd}
 qqh|
sJ d S )Nr   r   Fr%   g?g?r      r   r#   rR   )r#   r?   )rA   	smoothingr.   r   T)
r   r(   r)   r   linspacer   rT   rE   sqrtrh   )rG   r.   rU   r2   noiseZrmse_tolZsmoothing_ranger   r   rj   Zrmse_within_tolrp   ZysmoothZrmser   r   r   test_smoothing_misfit   s.    z*_TestRBFInterpolator.test_smoothing_misfitc                 C   s   t jd}tdd|d}d}|d}t||}|dd|jd }||}t |}|d	  d7  < t 	d
}	d|	d	< | j
|||	d|}
t|
|dd d S )Nr   r   Fr%   r   r>   rR   r?   r   )r>   g     @@rp   rg   rD   )r   r(   r)   r   r   rT   r   r-   copyzerosrE   r   )rG   rU   r2   r   r   r5   rW   r   Zy_with_outlierrp   rk   r   r   r   test_array_smoothing  s    




z)_TestRBFInterpolator.test_array_smoothingc                 C   s   t ddtj dd}t|}t ddtj dd}d}tjt|d  | ||| W d    n1 st0    Y  d S )Nr   Fr%   r   r   zExpected the second axis of `x`match)	r   r   r(   r)   r"   pytestraises
ValueErrorrE   )rG   r   dr   rz   r   r   r   $test_inconsistent_x_dimensions_error/  s    z9_TestRBFInterpolator.test_inconsistent_x_dimensions_errorc                 C   sf   t dddd d d f }t d}d}tjt|d | || W d    n1 sX0    Y  d S )Nr   r   r$   zExpected the first axis of `d`ry   r   rq   rw   r{   r|   r}   rE   rG   r   r~   rz   r   r   r    test_inconsistent_d_length_error9  s
    
z5_TestRBFInterpolator.test_inconsistent_d_length_errorc                 C   sZ   t ddd}t d}d}tjt|d | || W d    n1 sL0    Y  d S )Nr   r   r$   z"`y` must be a 2-dimensional array.ry   r   r   r   r   r   test_y_not_2d_error@  s
    
z(_TestRBFInterpolator.test_y_not_2d_errorc                 C   st   t dddd d d f }t d}t d}d}tjt|d  | j|||d W d    n1 sf0    Y  d S )Nr   r   r$   zExpected `smoothing` to bery   ru   )r   rq   rw   onesr{   r|   r}   rE   )rG   r   r~   rp   rz   r   r   r   (test_inconsistent_smoothing_length_errorG  s    

z=_TestRBFInterpolator.test_inconsistent_smoothing_length_errorc                 C   sj   t dddd d d f }t d}d}tjt|d  | j||dd W d    n1 s\0    Y  d S )Nr   r   r$   z`kernel` must be one ofry   testrM   r   r   r   r   r   test_invalid_kernel_name_errorO  s
    
z3_TestRBFInterpolator.test_invalid_kernel_name_errorc              	   C   s~   t dddd d d f }t d}tD ]P}|tv r6q(d}tjt|d  | j|||d W d    q(1 sn0    Y  q(d S )Nr   r   r$   z`epsilon` must be specifiedry   rM   )	r   rq   rw   r   r   r{   r|   r}   rE   )rG   r   r~   r.   rz   r   r   r    test_epsilon_not_specified_errorV  s    
z5_TestRBFInterpolator.test_epsilon_not_specified_errorc                 C   sx   t dddd d d f }t ddd}t d}d}tjt|d  | ||| W d    n1 sj0    Y  d S )Nr   r   r$   z"`x` must be a 2-dimensional array.ry   r   )rG   r   r   r~   rz   r   r   r   test_x_not_2d_errora  s    
z(_TestRBFInterpolator.test_x_not_2d_errorc                 C   sj   t dddd d d f }t d}d}tjt|d  | j||dd W d    n1 s\0    Y  d S )Nr   r   z#At least 2 data points are requiredry   thin_plate_splinerM   r   r   r   r   r   "test_not_enough_observations_errori  s
    
z7_TestRBFInterpolator.test_not_enough_observations_errorc              	   C   s   t dddd d d f }t d}t D ]`\}}|dkr,d| }tjt|d( | j||d||d d W d    q,1 s0    Y  q,d S )Nr   r   r$   z`degree` should not be below ry   r?   rA   r.   r   )	r   rq   rw   r   itemsr{   ZwarnsWarningrE   )rG   r   r~   r.   degrz   r   r   r   test_degree_warningp  s    

z(_TestRBFInterpolator.test_degree_warningc                 C   sN   t dddd d d f }t d}t D ]\}}| j||d|dd q,d S )Nr   r   r$   r?   r:   r   )r   rq   rw   r   r   rE   )rG   r   r~   r.   r3   r   r   r   test_minus_one_degreez  s    
z*_TestRBFInterpolator.test_minus_one_degreec                 C   st   t ddgddgddgg}t g d}d}tjt|d$ | j||dd| W d    n1 sf0    Y  d S )	NrB   rR   r?   )rR   rR   rR   zdoes not have full column rankry   r   rM   )r   ra   r{   r|   r   rE   r   r   r   r   test_rank_error  s
    z$_TestRBFInterpolator.test_rank_errorc                 C   sD   dD ]:}t d|f}t d}| j||dd|}t|| qd S )N)r   r   r   r   )r   ZlinearrM   )r   rw   r   rE   r   )rG   dimr   r~   fr   r   r   test_single_point  s
    
z&_TestRBFInterpolator.test_single_pointc                 C   st   t ddtjdd}d|d }d|d }t|}| ||}||}tt||}t	||dd d S )	Nr   Fl   e r%   r   r>   gؗҜ<rD   )
r   r   r(   r)   r   rE   pickleloadsdumpsr   )rG   r2   r   rH   r   r_   rI   rJ   r   r   r   test_pickleable  s    z$_TestRBFInterpolator.test_pickleableN)"__name__
__module____qualname__r{   markparametrizesortedr   rK   rL   r   rQ   rX   Zslowr`   rc   rf   rl   rm   rt   rx   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r=   R   s>   








		r=   c                   @   s$   e Zd Zdd Zdd Zdd ZdS ) TestRBFInterpolatorNeighborsNonec                 O   s   t |i |S )Nr
   rG   rZ   r[   r   r   r   rE     s    z&TestRBFInterpolatorNeighborsNone.buildc                 C   s   t ddtj d}d}d}d|d }d|d }t|}| j||||d|}t||}t||}	|	tjj	||d dd	 }
t
||
d
d d S )Nr   Fr%   r       חAr>   r   rp   Zrcondr   rC   rD   )r   r   r(   r)   r   rE   r   r-   r+   lstsqr   rG   r2   r   rp   r   rH   r   rI   r5   rV   rJ   r   r   r   test_smoothing_limit_1d  s"    

z8TestRBFInterpolatorNeighborsNone.test_smoothing_limit_1dc                 C   s   t ddtj d}d}d}|d}|d}t|}| j||||d|}t||}t||}	|	tjj	||d dd	 }
t
||
d
d d S )Nr   Fr%   r   r   r#   r   r   r   rC   rD   )r   r   r(   r)   r"   rE   r   r-   r+   r   r   r   r   r   r   test_smoothing_limit_2d  s"    



z8TestRBFInterpolatorNeighborsNone.test_smoothing_limit_2dN)r   r   r   rE   r   r   r   r   r   r   r     s   r   c                   @   s   e Zd Zdd Zdd ZdS )TestRBFInterpolatorNeighbors20c                 O   s   t |i |ddiS )N	neighborsro   r   r   r   r   r   rE     s    z$TestRBFInterpolatorNeighbors20.buildc                 C   s   t ddtj d}|d}|d}t|}| |||}g }t|}|D ]8}||d\}	}
|t	||
 ||
 |d  d  qPt
||dd d S )	Nr   Fr%   r#   ro   r   rC   rD   )r   r   r(   r)   r"   rE   r   queryappendr
   r   )rG   r2   r   rH   r   rI   rJ   treexir3   Znbrr   r   r   #test_equivalent_to_rbf_interpolator  s    

&zBTestRBFInterpolatorNeighbors20.test_equivalent_to_rbf_interpolatorNr   r   r   rE   r   r   r   r   r   r     s   r   c                   @   s   e Zd Zdd Zdd ZdS )TestRBFInterpolatorNeighborsInfc                 O   s   t |i |dtjiS )Nr   )r
   r   infr   r   r   r   rE     s    z%TestRBFInterpolatorNeighborsInf.buildc                 C   sh   t ddtj d}d|d }d|d }t|}| |||}t|||}t||dd d S )Nr   Fr%   r   r>   rC   rD   )r   r   r(   r)   r   rE   r
   r   )rG   r2   r   rH   r   rI   rJ   r   r   r   r     s    zCTestRBFInterpolatorNeighborsInf.test_equivalent_to_rbf_interpolatorNr   r   r   r   r   r     s   r   ) r   r{   numpyr   Znumpy.linalgr   Znumpy.testingr   Zscipy.stats.qmcr   Zscipy.spatialr   Zscipy.interpolate._rbfinterpr   r   r   r	   r
   Zscipy.interpolater   r   r   r"   r9   r   r   r   r<   r=   r   r   r   r   r   r   r   <module>   s(   
  U7