U
    GvfF                     @   s   d dl Z d dlZd dlZd dlmZ d dlmZ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assert_array_equal)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   J/tmp/pip-unpacked-wheel-96ln3f52/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k
r   Y   dS X 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mZ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td S )Nr   )r	   getr9   AssertionError)r/   r0   r   r   r   $test_conditionally_positive_definiteI   s    r=   c                   @   s8  e Zd Zejdeedd Zejdeedd Z	ejdee
dd Zdd	 Zejjd
d Zdd Zdd Zejdee
dd Zejdee
dd Zejdee
dd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Z d0S )1_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$   r@   rA   rC   rD   rE   )r   r   r)   r*   r#   rF   r   rG   r   r   r   test_scale_invariance_2d_   s    

z-_TestRBFInterpolator.test_scale_invariance_2dc           
      C   s   t ddtj d}d}d}|d}t|}|d}|tkrz| j|||d|}| j|| | ||d|| | }	n@| j||d|d	|}| j|| | |d| |d	|| | }	t||	d
d d S )Nr   Fr&   gd~QJgAjZKr$   r/         @rA   rD   rE   )r   r   r)   r*   r#   r   rF   r   )
rH   r/   r2   Zscaleshiftr   r   rI   rJ   rK   r   r   r   test_extreme_domainsk   s2    


 

 
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   rD   rE   )
r   r)   r*   r   r   normalr   r.   rF   r   )rH   rngr2   r   r   rI   r5   Pitppoly_coeffsr   rJ   rK   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  | |S )Nr$   )Zmemory_budget)update)argskwargsZce_realr   r   _chunk_evaluator   s    z<_TestRBFInterpolator.test_chunking.<locals>._chunk_evaluatorr]   rD   rE   )r   r)   r*   r   r   rT   r   r.   rF   r]   setattrr   )rH   ZmonkeypatchrU   r2   r   ZlargeNr   rI   r5   rV   rW   r   rJ   interpr]   rK   r   r\   r   test_chunking   s"    





z"_TestRBFInterpolator.test_chunkingc              	   C   s   t ddtj d}|d}|d}tt|t|d d d d df gj}| |||}| ||d d df |}| ||d d df |}t|d d df | t|d d df | d S )Nr   Fr&   r$   r:   r   r   )	r   r   r)   r*   arrayr#   r-   rF   r   rH   r2   r   rI   r   rJ   rK   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$   y              ?r:   )	r   r   r)   r*   r#   rF   realimagr   rb   r   r   r   test_complex_data   s    

&z&_TestRBFInterpolator.test_complex_datac           	      C   sx   t ddtj d}d|d }d|d }t|}t|}| j||d|d|}t|| d }|d	k sttd S )
Nr   Fr&   r   r?   rO   rA   r   -C6?)r   r   r)   r*   r   rF   meanr<   	rH   r/   r2   r   rI   r   ytrueyitpZmser   r   r   test_interpolation_misfit_1d   s    z1_TestRBFInterpolator.test_interpolation_misfit_1dc           	      C   sp   t ddtj d}|d}|d}t|}t|}| j||d|d|}t|| d }|dk sltd S )Nr   Fr&   r$   rO   rA   g-C6*?)r   r   r)   r*   r#   rF   rh   r<   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|
st
d S )Nr   r   Fr&   g?g?r       r   r$   rR   )r$   r@   )rB   	smoothingr/   r   T)r   r)   r*   r   linspacer   rT   rF   sqrtrh   r<   )rH   r/   rU   r2   ZnoiseZrmse_tolZsmoothing_ranger   r   rj   Zrmse_within_tolrp   ZysmoothZrmser   r   r   test_smoothing_misfit   s0     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   rE   )r   r)   r*   r   r   rT   r   r.   copyzerosrF   r   )rH   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   sn   t ddtj dd}t|}t ddtj dd}d}tjt|d | ||| W 5 Q R X d S )Nr   Fr&   r    r   zExpected the second axis of `x`match)	r   r   r)   r*   r#   pytestraises
ValueErrorrF   )rH   r   dr   ry   r   r   r   $test_inconsistent_x_dimensions_error/  s    z9_TestRBFInterpolator.test_inconsistent_x_dimensions_errorc              	   C   sR   t dddd d d f }t d}d}tjt|d | || W 5 Q R X d S )Nr   r   r%   zExpected the first axis of `d`rx   r   rq   rv   rz   r{   r|   rF   rH   r   r}   ry   r   r   r    test_inconsistent_d_length_error9  s
    
z5_TestRBFInterpolator.test_inconsistent_d_length_errorc              	   C   sF   t ddd}t d}d}tjt|d | || W 5 Q R X d S )Nr   r   r%   z"`y` must be a 2-dimensional array.rx   r   r   r   r   r   test_y_not_2d_error@  s
    
z(_TestRBFInterpolator.test_y_not_2d_errorc              	   C   s`   t dddd d d f }t d}t d}d}tjt|d | j|||d W 5 Q R X d S )Nr   r   r%   zExpected `smoothing` to berx   rt   )r   rq   rv   onesrz   r{   r|   rF   )rH   r   r}   rp   ry   r   r   r   (test_inconsistent_smoothing_length_errorG  s    

z=_TestRBFInterpolator.test_inconsistent_smoothing_length_errorc              	   C   sV   t dddd d d f }t d}d}tjt|d | j||dd W 5 Q R X d S )Nr   r   r%   z`kernel` must be one ofrx   testrN   r   r   r   r   r   test_invalid_kernel_name_errorO  s
    
z3_TestRBFInterpolator.test_invalid_kernel_name_errorc              
   C   sj   t dddd d d f }t d}tD ]<}|tkr6q(d}tjt|d | j|||d W 5 Q R X q(d S )Nr   r   r%   z`epsilon` must be specifiedrx   rN   )	r   rq   rv   r   r   rz   r{   r|   rF   )rH   r   r}   r/   ry   r   r   r    test_epsilon_not_specified_errorV  s    
z5_TestRBFInterpolator.test_epsilon_not_specified_errorc              	   C   sd   t dddd d d f }t ddd}t d}d}tjt|d | ||| W 5 Q R X d S )Nr   r   r%   z"`x` must be a 2-dimensional array.rx   r   )rH   r   r   r}   ry   r   r   r   test_x_not_2d_errora  s    
z(_TestRBFInterpolator.test_x_not_2d_errorc              	   C   sV   t dddd d d f }t d}d}tjt|d | j||dd W 5 Q R X d S )Nr   r   z#At least 2 data points are requiredrx   thin_plate_splinerN   r   r   r   r   r   "test_not_enough_observations_errori  s
    
z7_TestRBFInterpolator.test_not_enough_observations_errorc              
   C   sv   t dddd d d f }t d}t D ]D\}}d| }tjt|d | j||d||d d W 5 Q R X q,d S )Nr   r   r%   z`degree` should not be below rx   r@   )rB   r/   r   )	r   rq   rv   r	   itemsrz   ZwarnsWarningrF   )rH   r   r}   r/   degry   r   r   r   test_degree_warningp  s    

z(_TestRBFInterpolator.test_degree_warningc              	   C   sb   t ddgddgddgg}t dddg}d}tjt|d | j||dd| W 5 Q R X d S )NrC   rR   r@   zdoes not have full column rankrx   r   rN   )r   ra   rz   r{   r   rF   r   r   r   r   test_rank_errorx  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linearrN   )r   rv   r   rF   r   )rH   Zdimr   r}   fr   r   r   test_single_point  s
    
z&_TestRBFInterpolator.test_single_pointc                 C   sp   t ddtjdd}d|d }d|d }t|}| ||}||}tt||}t	|| d S )Nr   Fl   e r&   r   r?   )
r   r   r)   r*   r   rF   pickleloadsdumpsr   )rH   r2   r   rI   r   r_   rJ   rK   r   r   r   test_pickleable  s    z$_TestRBFInterpolator.test_pickleableN)!__name__
__module____qualname__rz   markparametrizesortedr   rL   rM   r   rQ   rX   Zslowr`   rc   rf   rl   rm   rs   rw   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r>   R   s<   







		r>   c                   @   s$   e Zd Zdd Zdd Zdd ZdS ) TestRBFInterpolatorNeighborsNonec                 O   s
   t ||S )Nr   rH   rZ   r[   r   r   r   rF     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   rD   rE   )r   r   r)   r*   r   rF   r   r.   r,   lstsqr   rH   r2   r   rp   r   rI   r   rJ   r5   rV   rK   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   rD   rE   )r   r   r)   r*   r#   rF   r   r.   r,   r   r   r   r   r   r   test_smoothing_limit_2d  s$    

 

z8TestRBFInterpolatorNeighborsNone.test_smoothing_limit_2dN)r   r   r   rF   r   r   r   r   r   r   r     s   r   c                   @   s   e Zd Zdd Zdd ZdS )TestRBFInterpolatorNeighbors20c                 O   s   t ||ddiS )N	neighborsro   r   r   r   r   r   rF     s    z$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   rD   rE   )r   r   r)   r*   r#   rF   r   queryappendr   r   )rH   r2   r   rI   r   rJ   rK   treexir3   Znbrr   r   r   #test_equivalent_to_rbf_interpolator  s    

&zBTestRBFInterpolatorNeighbors20.test_equivalent_to_rbf_interpolatorNr   r   r   rF   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 ||dtjiS )Nr   )r   r   infr   r   r   r   rF     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?   rD   rE   )r   r   r)   r*   r   rF   r   r   )rH   r2   r   rI   r   rJ   rK   r   r   r   r     s    zCTestRBFInterpolatorNeighborsInf.test_equivalent_to_rbf_interpolatorNr   r   r   r   r   r     s   r   )!r   rz   Znumpyr   Znumpy.linalgr   Znumpy.testingr   r   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(   
  L7