a
    ³ÐOc›G  ã                   @   s¸  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dKd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;G dIdJ„ dJƒZ<dS )Lz€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   úZ/var/www/html/gsl.tools/lib/python3.9/site-packages/numpy/polynomial/tests/test_classes.pyÚ	<genexpr>   ó    r   )ÚparamsÚ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    Úd1Zw1r"   Zd2Zw2r#   r   r   r   Útest_conversion8   s    r7   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/   r0   r   r   Úcastr	   r2   r   r   r   Ú	test_castI   s    r9   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   r0   r   r   r/   Úidentityr   r	   )r   ÚdÚwr5   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   r0   r   Úbasisr   r    ©r   r<   r=   r>   r   r   r   Ú
test_basisi   s    rC   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   r0   r   Ú	fromrootsr   ÚdegreeÚlenr	   r   r8   r    )r   r<   r=   Úrr"   ZpdomZpwinr#   r   r   r   Útest_fromrootsr   s    rI   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        rJ   ç      ð?)rK   g       @g      @r+   r   z!The fit may be poorly conditioned)ÚpytestZwarnsr   ÚfitÚmessageÚargs)r   r5   ÚyÚrecordr   r   r   Útest_bad_conditioned_fit…   s
    ,rR   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   )r5   r   r   r   Úf’   s    ztest_fit.<locals>.fr   r)   r*   r,   r-   )r   r&   r+   r)   r&   r+   )r=   )r   r/   rM   r	   r   r   rF   r0   r   Z
zeros_likeÚshape)r   rT   r5   rP   r>   r<   r=   Úzr"   r#   Úp3r   r   r   Útest_fit�   s>    
"rX   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#   rW   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 rY   r[   r\   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listr0   r%   Útupler   Úarrayr
   Ú	TypeErrorÚopÚaddr   r   r   r   ©r   Úc1Úc2r"   r#   rW   r   r   r   Útest_addÒ   s"      
ro   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`   )rf   r0   r%   rg   r   rh   r
   ri   rj   Úsubr   r   r   r   rl   r   r   r   Útest_subè   s"      
rq   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 )	Nra   rc   r(   r+   r   r&   rd   re   )rf   r0   r%   rg   r   rh   r
   ri   rj   Úmulr   r   r   r   rl   r   r   r   Útest_mulþ   s&      
rs   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 ©
Nra   rc   r(   r*   r+   r   r&   rd   re   )rf   r0   r    r%   rg   r   rh   r
   ri   rj   Úfloordivr   r   r   r   ©	r   rm   rn   Úc3r"   r#   rW   r]   Úc4r   r   r   Útest_floordiv  s4    
ÿÿ
ry   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 )NrZ   r@   r   r&   )r   Z
ScalarTypeÚ
issubclassr   Úboolr%   rj   Útruedivr
   ri   ÚintÚfloatÚcomplexrg   rf   Údictrh   Úclasses)r   r"   r#   ÚstypeÚsÚptyper   r   r   Útest_truediv1  s*    


"r…   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 rt   )rf   r0   r    r%   rg   r   rh   r
   ri   rj   Úmodr   r   r   r   rv   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 rt   )rf   r0   r    Údivmodr%   rg   r   rh   r
   ri   r   r   r   r   )r   rm   rn   rw   r"   r#   rW   r]   rx   ZquoÚremr   r   r   Útest_divmodg  sP    















rŠ   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sortrE   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@   )rA   r   rF   ©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 r�   )rA   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)   rb   )r   r   r&   r&   r&   r&   ©Úk)r&   r+   r)   rb   )r&   r&   r&   r&   r&   )Zlbnd)é÷ÿÿÿr+   r)   rb   )r•   r™   r&   r&   r&   rd   )r   r8   Úintegr%   r   )r   ÚPZp0r"   r#   r<   r   r   r   Ú
test_integ®  s,    
rœ   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,   rZ   r-   r+   r&   r—   )r   r0   r   rš   r	   Zderivr    )r   r<   r=   r"   r#   rW   r   r   r   Ú
test_derivË  s    r�   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,   rZ   r-   r   r&   é   r+   rd   )r   r0   r   r   r/   r	   )r   r<   r=   r>   ZxtgtZytgtZxresZyresr   r   r   Útest_linspaceÝ  s    


rŸ   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-   rZ   r@   g      ø?rD   )	r   r0   r   Úranger%   r
   Ú
ValueErrorrj   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&   r:   rZ   r+   r)   )r   r   r   r/   r8   r	   )r   r›   r<   r5   r>   r�   rŽ   r   r   r   Ú	test_call  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 )NrZ   rc   rD   r)   r+   r&   r   )r
   r¡   Zcutdegr   rG   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 )NrZ   rc   r   rb   r)   r+   r&   )r
   r¡   Útruncater   rG   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mapparmsrB   r   r   r   Útest_mapparms*  s    r«   c                 C   s:   | g d¢ƒ}t  d¡}ttt j||ƒ ttt j||ƒ d S )NrZ   r)   )r   Zonesr
   ri   rk   )r   r>   r5   r   r   r   Útest_ufunc_override6  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 rS   r   )Úselfr5   r   r   r   rT   D  s    zTestInterpolate.fc                 C   s(   t ttj| jdƒ t ttj| jdƒ d S )NrD   g      $@)r
   r¡   r   ÚinterpolaterT   ri   )r®   r   r   r   Útest_raisesG  s    zTestInterpolate.test_raisesc                 C   s.   t ddƒD ]}tt | j|¡ ¡ |kƒ q
d S )Nr&   r@   )r    r   r   r¯   rT   rF   )r®   Údegr   r   r   Útest_dimensionsK  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   )r5   r>   r   r   r   ÚpowxQ  s    z0TestInterpolate.test_approximation.<locals>.powxr   r+   r'   r&   )r   rO   r:   )Údecimal)r   r/   r    r   r¯   r	   )r®   r³   r5   r±   Útr>   r   r   r   Útest_approximationO  s    z"TestInterpolate.test_approximationN)r   Ú
__module__Ú__qualname__rT   r°   r²   r¶   r   r   r   r   r­   B  s   r­   )r   )=Ú__doc__Úoperatorrj   Znumbersr   rL   Únumpyr   Znumpy.polynomialr   r   r   r   r   r   Znumpy.testingr	   r
   r   r   Znumpy.polynomial.polyutilsr   r�   rg   ZclassidsZfixturer   r0   r%   r3   r4   r7   r9   r?   rC   rI   rR   rX   r^   r_   ro   rq   rs   ry   r…   r‡   rŠ   r�   r’   r”   rœ   r�   rŸ   r¤   r¥   r¦   r¨   rª   r«   r¬   r­   r   r   r   r   Ú<module>   s^    þ


	,-


