a
    !ñ»jqJ  ã                   @   sÀ  d Z ddlZddlmZ ddlZddlZddlm	Z	m
Z
mZmZmZmZ ddlmZmZmZmZ ddlmZ e	e
eeeefZedd„ eD ƒƒZejeed	�d
d„ ƒZejjZdMdd„ZeZe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+d)d*„ Z,d+d,„ Z-d-d.„ Z.d/d0„ Z/d1d2„ Z0d3d4„ Z1d5d6„ Z2d7d8„ Z3d9d:„ Z4d;d<„ Z5d=d>„ Z6d?d@„ Z7dAdB„ Z8dCdD„ Z9dEdF„ Z:dGdH„ Z;dIdJ„ Z<G dKdL„ dLƒZ=dS )Nz€Test inter-conversion of different polynomial classes.

This tests the convert and cast methods of all the polynomial classes.

é    N)ÚNumber)Ú
PolynomialÚLegendreÚ	ChebyshevÚLaguerreÚHermiteÚHermiteE)Úassert_almost_equalÚassert_raisesÚassert_equalÚassert_)ÚRankWarningc                 c   s   | ]}|j V  qd S ©N)Ú__name__)Ú.0Úcls© r   úIE:\soccer\ml_env\Lib\site-packages\numpy/polynomial/tests/test_classes.pyÚ	<genexpr>   ó    r   )ÚparamsZidsc                 C   s   | j S r   )Úparam)Úrequestr   r   r   ÚPoly   s    r   Ú c                 C   sn   z>t t | j|jk¡ƒ t t | j|jk¡ƒ t| j|jƒ W n* tyh   d| › d|› �}t|ƒ‚Y n0 d S )NzResult: z	
Target: )r   ÚnpÚallÚdomainÚwindowr	   ÚcoefÚAssertionError)Úp1Úp2Úmsgr   r   r   Úassert_poly_almost_equal&   s    r$   c           
      C   sª   t  ddd¡}tdƒ}| jtdƒd  }| jtdƒd  }| |||d�}|jtdƒd  }|jtdƒd  }|j|||d�}	t|	j|ƒ t|	j|ƒ t|	|ƒ||ƒƒ d S )	Nr   é   é
   ©é   ©é   ç      Ð?©r   r   )Úkindr   r   )r   ÚlinspaceÚrandomr   r   Úconvertr	   ©
ÚPoly1ÚPoly2Úxr   Zd1Zw1r!   Zd2Zw2r"   r   r   r   Útest_conversion8   s    r5   c           
      C   sª   t  ddd¡}tdƒ}| jtdƒd  }| jtdƒd  }| |||d�}|jtdƒd  }|jtdƒd  }|j|||d�}	t|	j|ƒ t|	j|ƒ t|	|ƒ||ƒƒ d S )Nr   r%   r&   r'   r)   r+   r,   )r   r.   r/   r   r   Úcastr	   r1   r   r   r   Ú	test_castI   s    r7   c                 C   sr   | j tdƒd  }| jtdƒd  }t |d |d d¡}| j||d�}t|j |ƒ t|j|ƒ t||ƒ|ƒ d S )Nr)   r+   r   r%   é   r,   )r   r/   r   r   r.   Úidentityr   r	   )r   ÚdÚwr4   Úpr   r   r   Útest_identity_   s    r=   c                 C   sh   | j tdƒd  }| jtdƒd  }| jd||d�}t|j |ƒ t|j|ƒ t|jdgd dg ƒ d S )Nr)   r+   é   r,   r   r%   )r   r/   r   Úbasisr   r   ©r   r:   r;   r<   r   r   r   Ú
test_basisi   s    rA   c                 C   s¤   | j tdƒd  }| jtdƒd  }tdƒ}| j|||d�}t| ¡ t|ƒƒ t|j |ƒ t|j|ƒ t||ƒdƒ tj }tj}tj	|||d�}t|j
d dƒ d S )Nr)   r+   )r>   r,   r   éÿÿÿÿr%   )r   r/   r   Ú	fromrootsr   ÚdegreeÚlenr	   r   r6   r   )r   r:   r;   Úrr!   ZpdomZpwinr"   r   r   r   Útest_fromrootsr   s    rG   c                 C   sd   g d¢}g d¢}t  t¡�}|  ||d¡ W d   ƒ n1 s>0    Y  |d jjd dks`J ‚d S )N)ç        rH   ç      ð?)rI   g       @g      @r*   r   z!The fit may be poorly conditioned)ÚpytestZwarnsr   ÚfitÚmessageÚargs)r   r4   ÚyÚrecordr   r   r   Útest_bad_conditioned_fit…   s
    ,rP   c                 C   sê  dd„ }t  dd¡}||ƒ}|  ||d¡}t|jddgƒ t||ƒ|ƒ t| ¡ dƒ | jtdƒd  }| jtdƒd  }| j||d||d�}t||ƒ|ƒ t|j|ƒ t|j|ƒ | j||g d¢||d�}t||ƒ|ƒ t|j|ƒ t|j|ƒ |  ||dg ¡}t|j| jƒ t|j| jƒ |  ||g d¢g ¡}t|j| jƒ t|j| jƒ t  	|¡}|t|j
ƒd  }d	|d d d
…< |  |d d d
… |d d d
… d¡}| j||d|d�}	| j||g d¢|d�}
t||ƒ|	|ƒƒ t|	|ƒ|
|ƒƒ d S )Nc                 S   s   | | d  | d  S ©Nr%   r*   r   )r4   r   r   r   Úf’   s    ztest_fit.<locals>.fr   r(   r)   r+   r,   )r   r%   r*   r(   r%   r*   )r;   )r   r.   rK   r	   r   r   rD   r/   r   Z
zeros_likeÚshape)r   rR   r4   rN   r<   r:   r;   Úzr!   r"   Úp3r   r   r   Útest_fit�   s>    
"rV   c                 C   s¢   | g d¢ddgddgd�}| g d¢ddgddgd�}| g d¢ddgddgd�}| g d¢ddgddgd�}t ||kƒ t ||k ƒ t ||k ƒ t ||k ƒ d S ©N©r%   r*   r(   r   r%   r*   r(   r,   )r%   r%   r%   ©r   ©r   r!   r"   rU   Úp4r   r   r   Ú
test_equal¼   s    r\   c                 C   sž   | g d¢ddgddgd�}| g d¢ddgddgd�}| g d¢ddgddgd�}| g d¢ddgddgd�}t ||k ƒ t ||kƒ t ||kƒ t ||kƒ d S rW   rY   rZ   r   r   r   Útest_not_equalÇ   s    r]   c                 C   s*  t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}|| }t|| |ƒ t|| |ƒ t|| |ƒ t|t|ƒ |ƒ tt|ƒ| |ƒ t|t |¡ |ƒ tt |¡| |ƒ tttj	|| dg| j
d d�ƒ tttj	|| dg| jd d�ƒ | tu �rtttj	|tdgƒƒ ntttj	|tdgƒƒ d S ©N©é   ç      à?r'   r   r%   ©r   ©r   )Úlistr/   r$   Útupler   Úarrayr
   Ú	TypeErrorÚopÚaddr   r   r   r   ©r   Úc1Úc2r!   r"   rU   r   r   r   Útest_addÒ   s"      
rm   c                 C   s2  t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}|| }t|| | ƒ t|| |ƒ t|| | ƒ t|t|ƒ |ƒ tt|ƒ| | ƒ t|t |¡ |ƒ tt |¡| | ƒ tttj	|| dg| j
d d�ƒ tttj	|| dg| jd d�ƒ | tu �rtttj	|tdgƒƒ ntttj	|tdgƒƒ d S r^   )rd   r/   r$   re   r   rf   r
   rg   rh   Úsubr   r   r   r   rj   r   r   r   Útest_subè   s"      
ro   c                 C   sZ  t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}|| }t|| |ƒ t|| |ƒ t|| |ƒ t|t|ƒ |ƒ tt|ƒ| |ƒ t|t |¡ |ƒ tt |¡| |ƒ t|d || dgƒ ƒ td| || dgƒ ƒ tttj	|| dg| j
d d�ƒ tttj	|| dg| jd d�ƒ | tu �r@tttj	|tdgƒƒ ntttj	|tdgƒƒ d S )	Nr_   ra   r'   r*   r   r%   rb   rc   )rd   r/   r$   re   r   rf   r
   rg   rh   Úmulr   r   r   r   rj   r   r   r   Útest_mulþ   s&      
rq   c           	      C   sv  t tdƒd ƒ}t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}| |ƒ}|| | }t |jƒ}t|| |ƒ t|| |ƒ t|| |ƒ t|t|ƒ |ƒ tt|ƒ| |ƒ t|t |¡ |ƒ tt |¡| |ƒ td| | dgƒƒ t|d d| ƒ ttt	j
|| dg| jd d�ƒ ttt	j
|| dg| jd d	�ƒ | tu �r\ttt	j
|tdgƒƒ nttt	j
|tdgƒƒ d S ©
Nr_   ra   r'   r)   r*   r   r%   rb   rc   )rd   r/   r   r$   re   r   rf   r
   rg   rh   Úfloordivr   r   r   r   ©	r   rk   rl   Úc3r!   r"   rU   r[   Úc4r   r   r   Útest_floordiv  s4    
ÿÿ
rw   c                 C   s8  | g d¢ƒ}|d }t jD ]D}t|tƒrt|tƒr4q|dƒ}tt ||¡|ƒ tt	tj||ƒ qt
tfD ].}|dƒ}tt ||¡|ƒ tt	tj||ƒ qhtfD ]0}|ddƒ}tt ||¡|ƒ tt	tj||ƒ qžtƒ tƒ tƒ tƒ t  dg¡fD ]$}tt	tj||ƒ tt	tj||ƒ qîtD ]}tt	tj||dƒƒ �qd S )NrX   r>   r   r%   )r   Z
ScalarTypeÚ
issubclassr   Úboolr$   rh   Útruedivr
   rg   ÚintÚfloatÚcomplexre   rd   Údictrf   Úclasses)r   r!   r"   ÚstypeÚsÚptyper   r   r   Útest_truediv1  s*    


"rƒ   c           	      C   sx  t tdƒd ƒ}t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}| |ƒ}|| | }t |jƒ}t|| |ƒ t|| |ƒ t|| |ƒ t|t|ƒ |ƒ tt|ƒ| |ƒ t|t |¡ |ƒ tt |¡| |ƒ td| | dgƒƒ t|d | dgƒƒ ttt	j
|| dg| jd d�ƒ ttt	j
|| dg| jd d	�ƒ | tu �r^ttt	j
|tdgƒƒ nttt	j
|tdgƒƒ d S rr   )rd   r/   r   r$   re   r   rf   r
   rg   rh   Úmodr   r   r   r   rt   r   r   r   Útest_modL  s,    
  
r…   c                 C   s.  t tdƒd ƒ}t tdƒd ƒ}t tdƒd ƒ}| |ƒ}| |ƒ}| |ƒ}|| | }t |jƒ}t||ƒ\}	}
t|	|ƒ t|
|ƒ t||ƒ\}	}
t|	|ƒ t|
|ƒ t||ƒ\}	}
t|	|ƒ t|
|ƒ t|t|ƒƒ\}	}
t|	|ƒ t|
|ƒ tt|ƒ|ƒ\}	}
t|	|ƒ t|
|ƒ t|t |¡ƒ\}	}
t|	|ƒ t|
|ƒ tt |¡|ƒ\}	}
t|	|ƒ t|
|ƒ t|dƒ\}	}
t|	d| ƒ t|
| dgƒƒ td|ƒ\}	}
t|	| dgƒƒ t|
| dgƒƒ tt	t|| dg| j
d d�ƒ tt	t|| dg| jd d	�ƒ | tu �rtt	t|tdgƒƒ ntt	t|tdgƒƒ d S rr   )rd   r/   r   Údivmodr$   re   r   rf   r
   rg   r   r   r   r   )r   rk   rl   ru   r!   r"   rU   r[   rv   ZquoÚremr   r   r   Útest_divmodg  sP    















rˆ   c                 C   sp   | j d d }| j}t |d |d d¡}t | j|||d� ¡ ¡}t||ƒ t |  |¡ ¡ ¡}t||ƒ d S )Ng      ô?r+   r   r%   r>   r,   )r   r   r   r.   ÚsortrC   Úrootsr	   )r   r:   r;   ÚtgtÚresr   r   r   Ú
test_roots”  s    
r�   c                 C   s   |   d¡}t| ¡ dƒ d S ©Nr>   )r?   r   rD   ©r   r<   r   r   r   Útest_degreeŸ  s    
r�   c                 C   s^   |   d¡}| ¡ }t||kƒ t||uƒ t|j|juƒ t|j|juƒ t|j|juƒ d S rŽ   )r?   Úcopyr   r   r   r   )r   r!   r"   r   r   r   Ú	test_copy¤  s    
r’   c                 C   sz  t }|  |g d¢ƒ¡}| | ¡ ¡}| | d¡¡}t||g d¢ƒƒ t||g d¢ƒƒ |  |g d¢ƒ¡}| |jdd�¡}| |jdddgd�¡}t||g d¢ƒƒ t||g d¢ƒƒ |  |g d¢ƒ¡}| |jdd	�¡}| |jddd	�¡}t||g d
¢ƒƒ t||g d¢ƒƒ d| j }| j|g d¢ƒ|d�}| | ¡ ¡}| | d¡¡}t||g d¢ƒƒ t||g d¢ƒƒ d S )N)r*   é   é   r*   )r   r*   r(   r`   )r   r   r%   r%   r%   r%   ©Úk)r%   r*   r(   r`   )r%   r%   r%   r%   r%   )Zlbnd)é÷ÿÿÿr*   r(   r`   )r“   r—   r%   r%   r%   rb   )r   r6   Úintegr$   r   )r   ÚPÚp0r!   r"   r:   r   r   r   Ú
test_integ®  s,    
r›   c                 C   sÚ   | j tdƒd  }| jtdƒd  }| g d¢||d�}|jdddgd�}|jddgd�}t| d¡j|jƒ t| d¡j|jƒ | g d¢ƒ}|jdddgd�}|jddgd�}t| d¡j|jƒ t| d¡j|jƒ d S )Nr)   r+   rX   r,   r*   r%   r•   )r   r/   r   r˜   r	   Zderivr   )r   r:   r;   r!   r"   rU   r   r   r   Ú
test_derivË  s    rœ   c                 C   sº   | j tdƒd  }| jtdƒd  }| g d¢||d�}t |d |d d¡}||ƒ}| d¡\}}t||ƒ t||ƒ t ddd¡}||ƒ}|jdddgd	�\}}t||ƒ t||ƒ d S )
Nr)   r+   rX   r,   r   r%   é   r*   rb   )r   r/   r   r   r.   r	   )r   r:   r;   r<   ZxtgtZytgtZxresZyresr   r   r   Útest_linspaceÝ  s    


rž   c                 C   sÈ   | j tdƒd  }| jtdƒd  }| dg||d�}| g d¢||d�}tdƒD ]}t|| |ƒ || }qN| dgƒ}| g d¢ƒ}tdƒD ]}t|| |ƒ || }qˆtttj|dƒ tttj|dƒ d S )	Nr)   r+   r%   r,   rX   r>   g      ø?rB   )	r   r/   r   Úranger$   r
   Ú
ValueErrorrh   Úpow)r   r:   r;   r‹   ZtstÚir   r   r   Útest_powï  s    


r£   c                 C   s\   t }| j}t |d |d d¡}|  |g d¢ƒ¡}d|dd|    }||ƒ}t||ƒ d S )Nr   r%   r8   rX   r*   r(   )r   r   r   r.   r6   r	   )r   r™   r:   r4   r<   r‹   rŒ   r   r   r   Ú	test_call  s    r¤   c                 C   s4   | g d¢ƒ}g d¢}||ƒ}t ||t |¡ƒƒ d S )NrX   )rB   r   r*   )r   r   rf   )r   r<   r4   rŒ   r   r   r   Útest_call_with_list  s    r¥   c                 C   s|   | g d¢ƒ}t t|jdƒ t t|jdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ d S )NrX   ra   rB   r(   r*   r%   r   )r
   r    Zcutdegr   rE   r�   r   r   r   Útest_cutdeg  s    r¦   c                 C   s|   | g d¢ƒ}t t|jdƒ t t|jdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ tt| d¡ƒdƒ d S )NrX   ra   r   r`   r(   r*   r%   )r
   r    Útruncater   rE   r�   r   r   r   Útest_truncate  s    r¨   c                 C   s`   g d¢}| |ƒ}t | ¡ j|d d… ƒ t | d¡j|d d… ƒ t | d¡j|d d… ƒ d S )N)r%   g�íµ ÷Æ°>gê-�™—q=r   r(   g»½×Ùß|Û=r*   gñhãˆµøä>r%   )r   Ztrimr   )r   Úcr<   r   r   r   Ú	test_trim)  s
    rª   c                 C   s`   | j }| j}| dg||d�}tddg| ¡ ƒ d| d }| dg||d�}tddg| ¡ ƒ d S )Nr%   r,   r   r*   )r   r   r	   Zmapparmsr@   r   r   r   Útest_mapparms1  s    r«   c                 C   s:   | g d¢ƒ}t  d¡}ttt j||ƒ ttt j||ƒ d S )NrX   r(   )r   Zonesr
   rg   ri   )r   r<   r4   r   r   r   Útest_ufunc_override=  s    
r¬   c                   @   s,   e Zd Zdd„ Zdd„ Zdd„ Zdd„ Zd	S )
ÚTestInterpolatec                 C   s   ||d  |d  S rQ   r   )Úselfr4   r   r   r   rR   K  s    zTestInterpolate.fc                 C   s(   t ttj| jdƒ t ttj| jdƒ d S )NrB   g      $@)r
   r    r   ÚinterpolaterR   rg   )r®   r   r   r   Útest_raisesN  s    zTestInterpolate.test_raisesc                 C   s.   t ddƒD ]}tt | j|¡ ¡ |kƒ q
d S )Nr%   r>   )rŸ   r   r   r¯   rR   rD   )r®   Údegr   r   r   Útest_dimensionsR  s    zTestInterpolate.test_dimensionsc                 C   sn   dd„ }t  ddd¡}tddƒD ]H}td|d ƒD ]4}tj||ddg|fd�}t||ƒ|||ƒdd	� q2q d S )
Nc                 S   s   | | S r   r   )r4   r<   r   r   r   ÚpowxX  s    z0TestInterpolate.test_approximation.<locals>.powxr   r*   r&   r%   )r   rM   r8   )Údecimal)r   r.   rŸ   r   r¯   r	   )r®   r³   r4   r±   Útr<   r   r   r   Útest_approximationV  s    z"TestInterpolate.test_approximationN)r   Ú
__module__Ú__qualname__rR   r°   r²   r¶   r   r   r   r   r­   I  s   r­   )r   )>Ú__doc__Úoperatorrh   Únumbersr   rJ   Únumpyr   Znumpy.polynomialr   r   r   r   r   r   Znumpy.testingr	   r
   r   r   Znumpy.exceptionsr   r   re   ZclassidsZfixturer   r/   r$   r2   r3   r5   r7   r=   rA   rG   rP   rV   r\   r]   rm   ro   rq   rw   rƒ   r…   rˆ   r�   r�   r’   r›   rœ   rž   r£   r¤   r¥   r¦   r¨   rª   r«   r¬   r­   r   r   r   r   Ú<module>   s`    þ


	,-


