o
    ʩZh1P                  
   @   sD  d Z ddlmZ ddlZddlm  mZ ddlZddl	m
Z
 ddlmZmZmZmZmZmZmZ dd ZdgZddgZg d	Zg d
Zg dZg dZg dZg dZg dZg dZeeeeeeeeeeg
ZG dd dZG dd dZ G dd dZ!G dd dZ"G dd dZ#G dd dZ$G dd dZ%G dd  d Z&dS )!zTests for polynomial module.

    )reduceN)deepcopy)assert_almost_equalassert_raisesassert_equalassert_assert_warnsassert_array_equalassert_raises_regexc                 C   s   t j| ddS )Ngư>)Ztol)polypolytrimx r   ]/var/www/html/lang_env/lib/python3.10/site-packages/numpy/polynomial/tests/test_polynomial.pytrim   s   r      )r      )r   r      )r   r   ir      )r      r   ir      )r   r      r   ir       )r   ir   8   r   ir   @   )	r   r   ir      r   i r      )
r   	   r   ir   i  r   ir      c                   @   <   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestConstantsc                 C      t tjddg d S )Nr   r   )r   r   Z
polydomainselfr   r   r   test_polydomain"      zTestConstants.test_polydomainc                 C      t tjdg d S )Nr   )r   r   Zpolyzeror%   r   r   r   test_polyzero%      zTestConstants.test_polyzeroc                 C   r)   Nr   )r   r   Zpolyoner%   r   r   r   test_polyone(   r+   zTestConstants.test_polyonec                 C   r$   )Nr   r   )r   r   Zpolyxr%   r   r   r   
test_polyx+   r(   zTestConstants.test_polyxc                 C   s$   t g d}t|}t|| d S Nr   r      )r   
Polynomialr   r   r&   r   yr   r   r   	test_copy.   s   zTestConstants.test_copyc                 C   s,   t g d}tt|}t|| d S r/   )r   r2   pickleloadsdumpsr   r3   r   r   r   test_pickle3   s   zTestConstants.test_pickleN)	__name__
__module____qualname__r'   r*   r-   r.   r5   r9   r   r   r   r   r#       s    r#   c                   @   r"   )TestArithmeticc                 C   s   t dD ]H}t dD ]A}d| d| }tt||d }||  d7  < ||  d7  < tdg| dg dg| dg }tt|t||d q
qd S Nr   At i=, j=r   r   err_msg)rangenpzerosmaxr   polyaddr   r   r&   ijmsgtgtresr   r   r   test_polyadd:      $zTestArithmetic.test_polyaddc                 C   s   t dD ]H}t dD ]A}d| d| }tt||d }||  d7  < ||  d8  < tdg| dg dg| dg }tt|t||d q
qd S r>   )rC   rD   rE   rF   r   Zpolysubr   r   rH   r   r   r   test_polysubD   rO   zTestArithmetic.test_polysubc                 C   sr   t tdgdg t tdgddg tddD ]}dg| dg }dg|d  dg }t t|| qd S )Nr   r   r   )r   r   ZpolymulxrC   )r&   rI   ZserrL   r   r   r   test_polymulxN   s   zTestArithmetic.test_polymulxc                 C   s   t dD ]A}t dD ]:}d| d| }t|| d }|||   d7  < tdg| dg dg| dg }tt|t||d q
qd S r>   )rC   rD   rE   r   polymulr   r   rH   r   r   r   test_polymulV   s   $zTestArithmetic.test_polymulc           
      C   s   t ttjdgdg tdgdg\}}t||fd tddgdg\}}t||fd tdD ]B}tdD ];}d| d| }dg| ddg }dg| ddg }t||}t||\}}tt|||}	t|	||d	 q7q1d S )
Nr   r   r   )r   r   ))r   r   r   r   r?   r@   rA   )r   ZeroDivisionErrorr   Zpolydivr   rC   rG   rR   )
r&   ZquoremrI   rJ   rK   cicjrL   rM   r   r   r   test_polydiv_   s    zTestArithmetic.test_polydivc                 C   s|   t dD ]7}t dD ]0}d| d| }t|d }ttj|g| tdg}t||}tt	|t	||d q
qd S )Nr   r?   r@   r   rA   )
rC   rD   aranger   r   rR   arrayZpolypowr   r   )r&   rI   rJ   rK   crL   rM   r   r   r   test_polypowt   s   zTestArithmetic.test_polypowN)	r:   r;   r<   rN   rP   rQ   rS   rX   r\   r   r   r   r   r=   8   s    

	r=   c                   @   s   e Zd Zeg dZedeeZedeeeZej		dd d Z
ee
g dZdd Zd	d
 Zdd Zdd Zdd Zdd ZdS )TestEvaluation)      ?g       @g      @i,j->ij
i,j,k->ijkr1   r   r   r   c           
         s~  t tg dgjd tdd  fddtdD }tdD ]}|| }t dg| dg }t|| q   d d  }t g d}t|| td	D ]/}dg| }t| t t dgj	| t t ddgj	| t t g d
j	| qQg d}tj
jg d|d}tg d|}t|j| G dd dtj}tg d|}	t ttg d|	| d S )Nr   r   r   c                       g | ]} | qS r   r   .0rI   r   r   r   
<listcomp>       z/TestEvaluation.test_polyval.<locals>.<listcomp>r   r   )r   r   r   r   r1   r   r   r   )FTFr0   )mask)   r   r1   c                   @   s   e Zd ZdS )z&TestEvaluation.test_polyval.<locals>.CN)r:   r;   r<   r   r   r   r   C   s    rj   r   r1   r   )r   r   polyvalsizerD   linspacerC   r   rE   shapemarZ   r	   rh   Zndarrayviewtype)
r&   r4   rI   rL   rM   dimsrh   Zmxrj   Zcxr   r   r   test_polyval   s.   


zTestEvaluation.test_polyvalc                    s  t ttjdgdgdd ttg dgjd ttg dgjdk ttg dgd gjd ttg dgd gjdk ttddd ttdt	djd	k t
d
d  fddtdD }tddD ]}|| }t dg| }t|| qm  d   d  }t g d}t|| tdD ]/}dg| }t| tt dgj| tt ddgj| tt g dj| qg d}t|}t
d
d tt |t | d}tdd tjjdd|d}tj |dd}t|jdd  }t|jD ]}	t |	 |d d |	f ||	< qt|| t d  g tj |dd}t|jdd   j }t|jd D ]#}	t jd D ]}
t |
 |d d |	f ||	|
d d f< qXqOt|| d S )Nr   F)Ztensorr   )r   r   )r   r   )r1   r1   )r1   r   c                    rb   r   r   rc   r   r   r   re      rf   z8TestEvaluation.test_polyvalfromroots.<locals>.<listcomp>)r   r   r   r1   r   rg   )   r   ir   ra   r   )rm   T)r   
ValueErrorr   Zpolyvalfromrootsr   rm   r   ro   rD   onesrn   rC   r   rE   	polyrootsrl   rY   randomrandintemptyvstack)r&   r4   rI   rL   rM   rs   ZptestrZrshapeiiZjjr   r   r   test_polyvalfromroots   s\   





$
.z$TestEvaluation.test_polyvalfromrootsc           
      C   s   | j \}}}| j\}}}ttdtj||d d | j || }t||| j}t|| t	d}	t|	|	| j}t
|jdk d S NZincompatibler   r   r1   )r   r4   r
   rx   r   	polyval2dc2dr   rD   ry   r   ro   
r&   x1x2x3y1y2Zy3rL   rM   zr   r   r   test_polyval2d   s   

zTestEvaluation.test_polyval2dc           
   	   C   s   | j \}}}| j\}}}ttdtj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S r   )r   r4   r
   rx   r   	polyval3dc3dr   rD   ry   r   ro   r   r   r   r   test_polyval3d   s   

zTestEvaluation.test_polyval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )Nr_   r   )r   r1   r   r1   )r   r4   rD   einsumr   Z
polygrid2dr   r   ry   r   ro   r   r   r   r   test_polygrid2d  s   

zTestEvaluation.test_polygrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )Nr`   r   )r   r1   r   r1   r   r1   )r   r4   rD   r   r   Z
polygrid3dr   r   ry   r   ro   r   r   r   r   test_polygrid3d  s   

zTestEvaluation.test_polygrid3dN)r:   r;   r<   rD   rZ   Zc1dr   r   r   r{   r   r   rl   r4   rt   r   r   r   r   r   r   r   r   r   r]   ~   s    $@r]   c                   @      e Zd Zdd Zdd ZdS )TestIntegralc              	   C   s4  t ttjdgd t ttjdgd t ttjdgdddg t ttjdgdgd t ttjdgdgd t ttjdgdd tt tddgd W d    n1 sUw   Y  td	d
D ]}dg|d	  dg }tjdg||d}t|ddg q_td
D ]-}|d }dg| dg }|gdg|  d| g }tj|d|gd}tt	|t	| qtd
D ]!}|d }dg| dg }tj|d|gdd}tt
d|| qtd
D ].}|d }dg| dg }|gdg|  d	| g }tj|d|gd	d}tt	|t	| qtd
D ]9}td	d
D ]0}dg| dg }|d d  }t|D ]
}tj|dd}q&tj||d}tt	|t	| qqtd
D ]@}td	d
D ]7}dg| dg }|d d  }t|D ]}tj|d|gd}qdtj||tt|d}tt	|t	| qPqItd
D ]B}td	d
D ]9}dg| dg }|d d  }t|D ]}tj|d|gdd}qtj||tt|dd}tt	|t	| qqtd
D ]B}td	d
D ]9}dg| dg }|d d  }t|D ]}tj|d|gd	d}qtj||tt|d	d}tt	|t	| qܐqd S )Nr         ?r   r   )lbnd)sclaxisr^   r   r   )mk)r   r   r   )r   r   r   r   )r   	TypeErrorr   polyintrx   r   DeprecationWarningrC   r   r   rl   list)r&   rI   r   rM   r   ZpolrL   rJ   r   r   r   test_polyint/  s   
			zTestIntegral.test_polyintc                 C   s   t jd}t dd |jD j}tj|dd}t|| t dd |D }tj|dd}t|| t dd |D }tj|d	dd
}t|| d S )Nr1   r   c                 S      g | ]}t |qS r   r   r   rd   r[   r   r   r   re         z2TestIntegral.test_polyint_axis.<locals>.<listcomp>r   r   c                 S   r   r   r   r   r   r   r   re     r   r   c                 S   s   g | ]	}t j|d dqS )r1   )r   r   r   r   r   r   re     s    r1   )r   r   )rD   r{   r~   Tr   r   r   r&   r   rL   rM   r   r   r   test_polyint_axis  s   

zTestIntegral.test_polyint_axisN)r:   r;   r<   r   r   r   r   r   r   r   -  s    Pr   c                   @   r   )TestDerivativec                 C   s  t ttjdgd t ttjdgd tdD ]}dg| dg }tj|dd}tt|t| qtdD ]'}tddD ]}dg| dg }tjtj||d|d}t	t|t| q<q5tdD ])}tddD ]!}dg| dg }tjtj||dd|dd}t	t|t| qhqad S )	Nr   r   r   r   r   r   r   )r   r   )
r   r   r   polyderrx   rC   r   r   r   r   )r&   rI   rL   rM   rJ   r   r   r   test_polyder  s&   zTestDerivative.test_polyderc                 C   sl   t jd}t dd |jD j}tj|dd}t|| t dd |D }tj|dd}t|| d S )Nr   c                 S   r   r   r   r   r   r   r   r   re     r   z4TestDerivative.test_polyder_axis.<locals>.<listcomp>r   r   c                 S   r   r   r   r   r   r   r   re     r   r   )rD   r{   r~   r   r   r   r   r   r   r   r   test_polyder_axis  s   
z TestDerivative.test_polyder_axisN)r:   r;   r<   r   r   r   r   r   r   r     s    r   c                   @   s@   e Zd Zejdd d Zdd Zdd Zdd	 Zd
d Z	dS )
TestVanderra   r   r   c                 C   s   t d}t|d}t|jdk tdD ]}dg| dg }t|d|f t|| qt 	ddgddgdd	gg}t|d}t|jd
k tdD ]}dg| dg }t|d|f t|| qMd S )Nr1   r   r   r   r   .r   r      )r1   r   r   )
rD   rY   r   
polyvanderr   ro   rC   r   rl   rZ   )r&   r   vrI   coefr   r   r   test_polyvander  s   
zTestVander.test_polyvanderc                 C   sx   | j \}}}tjd}t||ddg}t|||}t||j}t|| t|g|gddg}t	|j
dk d S )Nr   r   r   )r   r   r   )r   rD   r{   r   Zpolyvander2dr   dotflatr   r   ro   r&   r   r   r   r[   ZvanrL   rM   r   r   r   test_polyvander2d  s   
zTestVander.test_polyvander2dc                 C   s   | j \}}}tjd}t|||g d}t||||}t||j}t|| t|g|g|gg d}t	|j
dk d S )Nrk   r0   )r   r      )r   rD   r{   r   Zpolyvander3dr   r   r   r   r   ro   r   r   r   r   test_polyvander3d  s   
zTestVander.test_polyvander3dc                 C   s   t d}tttj|d d S )Nr1   r   )rD   rY   r   rx   r   r   )r&   r   r   r   r   test_polyvandernegdeg  s   
z TestVander.test_polyvandernegdegN)
r:   r;   r<   rD   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 )TestCompanionc                 C   s"   t ttjg  t ttjdg d S r,   )r   rx   r   polycompanionr%   r   r   r   test_raises  s   zTestCompanion.test_raisesc                 C   s<   t ddD ]}dg| dg }tt|j||fk qd S )Nr   r   r   )rC   r   r   r   ro   )r&   rI   r   r   r   r   test_dimensions  s   zTestCompanion.test_dimensionsc                 C   s   t tddgd dk d S )Nr   r   )r   r         )r   r   r   r%   r   r   r   test_linear_root  s   zTestCompanion.test_linear_rootN)r:   r;   r<   r   r   r   r   r   r   r   r     s    r   c                   @   r"   )TestMiscc              	   C   s   t g }tt|dg tddD ]/}tttj dd| d dd d }t	| }t |d|d   }tt|t| qd S )Nr   r   r   r   )
r   polyfromrootsr   r   rC   rD   cosrn   piTlist)r&   rM   rI   rootsrL   r   r   r   test_polyfromroots  s   
*zTestMisc.test_polyfromrootsc                 C   sl   t tdgg  t tddgdg tddD ]}tdd|}tt|}t t|t| qd S )Nr   r   r   r   r   )r   r   rz   rC   rD   rn   r   r   )r&   rI   rL   rM   r   r   r   test_polyroots  s   zTestMisc.test_polyrootsc                 C   s  dd }dd }t ttjdgdgd t ttjdggdgd t ttjg dgd t ttjdgdgggd t ttjddgdgd t ttjdgddgd t ttjdgdgddggd	 t ttjdgdgdddgd	 t ttjdgdgdg t ttjdgdgg d
 t ttjdgdgg  tdd}||}t||d}tt|d t	t
||| t||g d}tt|d t	t
||| t||d}tt|d t	t
||| t||g d}tt|d t	t
||| t|t||gjd}t	|t||gj t|t||gjg d}t	|t||gj t|}| }	d|dd d< d|	dd d< tj||	d|d	}
t	|
| tj||	g d|d	}
t	|
| tj|t|	|	gjd|d	}t	|t||gj tj|t|	|	gjg d|d	}t	|t||gj g d}t	t||dddg t	t||ddgddg tdd}||}t||d}t	t
||| t||g d}t	t
||| t	|| d S )Nc                 S   s   | | d  | d  S )Nr   r   r   r   r   r   r   f  r(   z TestMisc.test_polyfit.<locals>.fc                 S   s   | d | d  d S )Nr   r   r   r   r   r   r   r   f2  r(   z!TestMisc.test_polyfit.<locals>.f2r   r   r   r   )w)r   r   r   r1   r   )r   r   r   r1   r   )r   r   r   r1   r   )r   y              ?r   y             )r   r   r   )r   rx   r   Zpolyfitr   rD   rn   r   lenr   rl   rZ   r   Z
zeros_likecopy)r&   r   r   r   r4   Zcoef3Zcoef4Zcoef2dr   ZywZwcoef3Zwcoef2dZcoef1Zcoef2r   r   r   test_polyfit  sj   


"zTestMisc.test_polyfitc                 C   sb   g d}t ttj|d tt||d d  tt|d|d d  tt|ddg d S )N)r   r   r   r   r   r   r   r   r   )r   rx   r   r   r   )r&   r   r   r   r   test_polytrimT  s
   zTestMisc.test_polytrimc                 C   s   t tddddg d S )Nr1   r   r   r   Zpolyliner%   r   r   r   test_polyline_  s   zTestMisc.test_polylinec                 C   s   t tdddg d S )Nr1   r   r   r%   r   r   r   test_polyline_zerob  s   zTestMisc.test_polyline_zeroN)	r:   r;   r<   r   r   r   r   r   r   r   r   r   r   r     s    	Fr   )'__doc__	functoolsr   numpyrD   Znumpy.polynomial.polynomialZ
polynomialr   r6   r   r   Znumpy.testingr   r   r   r   r   r	   r
   r   ZT0ZT1ZT2ZT3ZT4ZT5ZT6ZT7ZT8ZT9r   r#   r=   r]   r   r   r   r   r   r   r   r   r   <module>   s8    $F 0c(4