a
    p=icO                  
   @   s0  d Z ddlmZ ddlZddlm  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)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   w/home/droni/.local/share/virtualenvs/DPS-5Je3_V2c/lib/python3.9/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                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestConstantsc                 C   s   t tjddg d S )Nr   r   )r   r
   Z
polydomainselfr   r   r   test_polydomain    s    zTestConstants.test_polydomainc                 C   s   t tjdg d S )Nr   )r   r
   Zpolyzeror"   r   r   r   test_polyzero#   s    zTestConstants.test_polyzeroc                 C   s   t tjdg d S Nr   )r   r
   Zpolyoner"   r   r   r   test_polyone&   s    zTestConstants.test_polyonec                 C   s   t tjddg d S )Nr   r   )r   r
   Zpolyxr"   r   r   r   
test_polyx)   s    zTestConstants.test_polyxN)__name__
__module____qualname__r$   r%   r'   r(   r   r   r   r   r!      s   r!   c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestArithmeticc                 C   s   t dD ]}t dD ]}d| d| }tt||d }||  d7  < ||  d7  < tdg| dg dg| dg }tt|t||d qqd S Nr   At i=, j=r   r   err_msg)rangenpzerosmaxr
   polyaddr   r   r#   ijmsgtgtresr   r   r   test_polyadd/   s    $zTestArithmetic.test_polyaddc                 C   s   t dD ]}t dD ]}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-   )r2   r3   r4   r5   r
   Zpolysubr   r   r7   r   r   r   test_polysub9   s    $zTestArithmetic.test_polysubc                 C   sr   t tdgdg t tdgddg tddD ]8}dg| dg }dg|d  dg }t t|| q4d S )Nr   r   r   )r   r
   Zpolymulxr2   )r#   r8   Zserr;   r   r   r   test_polymulxC   s    zTestArithmetic.test_polymulxc                 C   s   t dD ]}t dD ]t}d| d| }t|| d }|||   d7  < tdg| dg dg| dg }tt|t||d qqd S r-   )r2   r3   r4   r
   polymulr   r   r7   r   r   r   test_polymulK   s    $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 ]}tdD ]v}d| d| }dg| ddg }dg| ddg }t||}t||\}}tt|||}	t|	||d	 qnqbd S )
Nr   r   r   )r   r   ))r   r   r   r   r.   r/   r0   )r   ZeroDivisionErrorr
   Zpolydivr   r2   r6   r@   )
r#   Zquoremr8   r9   r:   cicjr;   r<   r   r   r   test_polydivT   s    zTestArithmetic.test_polydivc                 C   s|   t dD ]n}t dD ]`}d| d| }t|d }ttj|g| tdg}t||}tt	|t	||d qqd S )Nr   r.   r/   r   r0   )
r2   r3   aranger   r
   r@   arrayZpolypowr   r   )r#   r8   r9   r:   cr;   r<   r   r   r   test_polypowi   s    zTestArithmetic.test_polypowN)	r)   r*   r+   r=   r>   r?   rA   rF   rJ   r   r   r   r   r,   -   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   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	| qg 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                    s   g | ]} | qS r   r   .0r8   r   r   r   
<listcomp>       z/TestEvaluation.test_polyval.<locals>.<listcomp>r   r   )r   r   r   r   rP   r   r   r   )FTFr   r   rP   )mask)   r   rP   c                   @   s   e Zd ZdS )z&TestEvaluation.test_polyval.<locals>.CN)r)   r*   r+   r   r   r   r   C   s   rY   r   rP   r   )r   r
   polyvalsizer3   linspacer2   r   r4   shapemarH   r   rW   Zndarrayviewtype)
r#   yr8   r;   r<   dimsrW   ZmxrY   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|| qڈ  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| q:g 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$t|| t d  g tj |dd}t|jdd   j }t|jd D ]F}	t jd D ]0}
t |
 |d d |	f ||	|
d d f< qqt|| d S )Nr   F)Ztensorr   )r   r   )r   r   )rP   rP   )rP   r   c                    s   g | ]} | qS r   r   rQ   r   r   r   rS      rT   z8TestEvaluation.test_polyvalfromroots.<locals>.<listcomp>)r   r   r   rP   r   rU   )   r   ir   rO   r   )r\   T)r   
ValueErrorr
   Zpolyvalfromrootsr   r\   r   r^   r3   onesr]   r2   r   r4   	polyrootsr[   rG   randomrandintemptyvstack)r#   rb   r8   r;   r<   rc   ZptestrZrshapeiiZjjr   r   r   test_polyvalfromroots   sZ    





$
2z$TestEvaluation.test_polyvalfromrootsc           
      C   s   | j \}}}| j\}}}ttdtj||d d | j || }t||| j}t|| t	d}	t|	|	| j}t
|jdk d S NZincompatibler   r   rP   )r   rb   r	   rh   r
   	polyval2dc2dr   r3   ri   r   r^   
r#   x1x2x3y1y2Zy3r;   r<   zr   r   r   test_polyval2d   s    

zTestEvaluation.test_polyval2dc           
   	   C   s   | j \}}}| j\}}}ttdtj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S rr   )r   rb   r	   rh   r
   	polyval3dc3dr   r3   ri   r   r^   rv   r   r   r   test_polyval3d   s    

zTestEvaluation.test_polyval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )NrM   rs   )r   rP   r   rP   )r   rb   r3   einsumr
   Z
polygrid2dru   r   ri   r   r^   rv   r   r   r   test_polygrid2d  s    

zTestEvaluation.test_polygrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )NrN   rs   )r   rP   r   rP   r   rP   )r   rb   r3   r   r
   Z
polygrid3dr   r   ri   r   r^   rv   r   r   r   test_polygrid3d  s    

zTestEvaluation.test_polygrid3dN)r)   r*   r+   r3   rH   Zc1dr   ru   r   rk   r   r
   r[   rb   rd   rq   r}   r   r   r   r   r   r   r   rK   s   s   $@rK   c                   @   s   e Zd Zdd Zdd ZdS )TestIntegralc              	   C   s:  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 s0    Y  td	d
D ]8}dg|d	  dg }tjdg||d}t|ddg qtd
D ]\}|d }dg| dg }|gdg|  d| g }tj|d|gd}tt	|t	| q td
D ]D}|d }dg| dg }tj|d|gdd}tt
d|| qftd
D ]^}|d }dg| dg }|gdg|  d	| g }tj|d|gd	d}tt	|t	| qtd
D ]r}td	d
D ]`}dg| dg }|d d  }t|D ]}tj|dd}qRtj||d}tt	|t	| q*qtd
D ]}td	d
D ]n}dg| dg }|d d  }t|D ]}tj|d|gd}qtj||tt|d}tt	|t	| qqtd
D ]}td	d
D ]r}dg| dg }|d d  }t|D ]}tj|d|gdd}qXtj||tt|dd}tt	|t	| q0q"td
D ]}td	d
D ]r}dg| dg }|d d  }t|D ]}tj|d|gd	d}qtj||tt|d	d}tt	|t	| qqd S )Nr         ?r   r   )lbnd)sclaxisrL   r   r   )mk)r   r   r   )r   r   r   r   )r   	TypeErrorr
   polyintrh   r   DeprecationWarningr2   r   r   r[   list)r#   r8   r   r<   r   Zpolr;   r9   r   r   r   test_polyint$  sz    
.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rP   r   c                 S   s   g | ]}t |qS r   r
   r   rR   rI   r   r   r   rS   x  rT   z2TestIntegral.test_polyint_axis.<locals>.<listcomp>r   r   c                 S   s   g | ]}t |qS r   r   r   r   r   r   rS   |  rT   r   c                 S   s   g | ]}t j|d dqS )rP   )r   r   r   r   r   r   rS     rT   rP   )r   r   )r3   rk   rn   Tr
   r   r   r#   ru   r;   r<   r   r   r   test_polyint_axist  s    

zTestIntegral.test_polyint_axisN)r)   r*   r+   r   r   r   r   r   r   r   "  s   Pr   c                   @   s   e Zd Zdd Zdd ZdS )TestDerivativec                 C   s  t ttjdgd t ttjdgd tdD ]4}dg| dg }tj|dd}tt|t| q,tdD ]N}tddD ]>}dg| dg }tjtj||d|d}t	t|t| qxqjtdD ]R}tddD ]B}dg| dg }tjtj||dd|dd}t	t|t| qqd S )	Nr   r   r   r   r   r   r   )r   r   )
r   r   r
   polyderrh   r2   r   r   r   r   )r#   r8   r;   r<   r9   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   s   g | ]}t |qS r   r
   r   r   r   r   r   rS     rT   z4TestDerivative.test_polyder_axis.<locals>.<listcomp>r   r   c                 S   s   g | ]}t |qS r   r   r   r   r   r   rS     rT   r   )r3   rk   rn   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 )
TestVanderrO   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|| qd S )NrP   r   r   r   r   .r   r      )rP   r   r   )
r3   rG   r
   
polyvanderr   r^   r2   r   r[   rH   )r#   r   vr8   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 )Nrs   r   r   )r   r   r   )r   r3   rk   r
   Zpolyvander2drt   dotflatr   r   r^   r#   rw   rx   ry   rI   Zvanr;   r<   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 )NrZ   rV   )r   r      )r   r3   rk   r
   Zpolyvander3dr~   r   r   r   r   r^   r   r   r   r   test_polyvander3d  s    
zTestVander.test_polyvander3dc                 C   s   t d}tttj|d d S )NrP   r   )r3   rG   r   rh   r
   r   )r#   r   r   r   r   test_polyvandernegdeg  s    
z TestVander.test_polyvandernegdegN)
r)   r*   r+   r3   rk   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   rh   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   )r2   r   r
   r   r^   )r#   r8   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                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )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   r2   r3   cosr]   piTlist)r#   r<   r8   rootsr;   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 ]4}tdd|}tt|}t t|t| q2d S )Nr   r   r   r   r   )r   r
   rj   r2   r3   r]   r   r   )r#   r8   r;   r<   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  s    z TestMisc.test_polyfit.<locals>.fc                 S   s   | d | d  d S )Nr   r   r   r   r   r   r   r   f2  s    z!TestMisc.test_polyfit.<locals>.f2r   r   r   r   )w)r   r   r   rP   r   )r   r   r   rP   r   )r   r   r   rP   r   )r   y              ?r   y             )r   r   r   )r   rh   r
   Zpolyfitr   r3   r]   r   lenr   r[   rH   r   Z
zeros_likecopy)r#   r   r   r   rb   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   rh   r
   r   r   )r#   r   r   r   r   test_polytrimI  s
    zTestMisc.test_polytrimc                 C   s   t tddddg d S )NrP   r   r   r
   Zpolyliner"   r   r   r   test_polylineT  s    zTestMisc.test_polylinec                 C   s   t tdddg d S )NrP   r   r   r"   r   r   r   test_polyline_zeroW  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   numpyr3   Znumpy.polynomial.polynomialZ
polynomialr
   Znumpy.testingr   r   r   r   r   r   r	   r   ZT0ZT1ZT2ZT3ZT4ZT5ZT6ZT7ZT8ZT9r   r!   r,   rK   r   r   r   r   r   r   r   r   r   <module>   s2   $F 0c(4