a
    LfgD                     @   st  d Z ddlmZ ddlZddlm  mZ ddl	m
Z
 ddlmZmZmZmZ edgd Zeddgd Zeg dd	 Zeg d
d Zeg dd Zeg dd Zeg dd ZeeeeeeegZ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 G d"d# d#Z!G d$d% d%Z"G d&d' d'Z#dS )(zTests for laguerre module.

    )reduceNpolyval)assert_almost_equalassert_raisesassert_equalassert_   )   r	   r   )   i	   r
   r   )   iH   ir	   r   )x   iiX  i8   r
   r   )  i i  ii  ir	   r   c                 C   s   t j| ddS )Ngư>)Ztol)laglagtrimx r   ]/var/www/ai-form-bot/venv/lib/python3.9/site-packages/numpy/polynomial/tests/test_laguerre.pytrim   s    r   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	lagdomainselfr   r   r   test_lagdomain   s    zTestConstants.test_lagdomainc                 C   s   t tjdg d S )Nr   )r   r   Zlagzeror   r   r   r   test_lagzero!   s    zTestConstants.test_lagzeroc                 C   s   t tjdg d S Nr	   )r   r   Zlagoner   r   r   r   test_lagone$   s    zTestConstants.test_lagonec                 C   s   t tjddg d S )Nr	   r
   )r   r   Zlagxr   r   r   r   	test_lagx'   s    zTestConstants.test_lagxN)__name__
__module____qualname__r   r   r!   r"   r   r   r   r   r      s   r   c                   @   sJ   e Zd ZedddZdd Zdd Zdd	 Zd
d Z	dd Z
dd ZdS )TestArithmetic   d   c                 C   s   t dD ]}t dD ]}d| d| }tt||d }||  d7  < ||  d7  < tdg| dg dg| dg }tt|t||d qqd S N   At i=, j=r	   r   err_msg)rangenpzerosmaxr   lagaddr   r   r   ijmsgtgtresr   r   r   test_lagadd.   s    $zTestArithmetic.test_lagaddc                 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*   )r0   r1   r2   r3   r   Zlagsubr   r   r5   r   r   r   test_lagsub8   s    $zTestArithmetic.test_lagsubc                 C   s   t tdgdg t tdgddg tddD ]L}dg| dg }dg|d  | d| d |d  g }tt|| q4d S )Nr   r	   r
   r+   r   )r   r   Zlagmulxr0   r   )r   r6   Zserr9   r   r   r   test_lagmulxB   s    (zTestArithmetic.test_lagmulxc           
      C   s   t dD ]}dg| dg }t| j|}t dD ]x}d| d| }dg| dg }t| j|}t||}t| j|}	tt||| d k| t|	|| |d q2qd S )Nr+   r   r	   r,   r-   r.   )r0   r   lagvalr   lagmulr   lenr   )
r   r6   Zpol1Zval1r7   r8   Zpol2Zval2Zpol3Zval3r   r   r   test_lagmulJ   s    zTestArithmetic.test_lagmulc           
      C   s   t dD ]}t dD ]z}d| d| }dg| dg }dg| dg }t||}t||\}}tt|||}	tt|	t||d qqd S )Nr+   r,   r-   r   r	   r.   )r0   r   r4   Zlagdivr?   r   r   )
r   r6   r7   r8   cicjr9   Zquoremr:   r   r   r   test_lagdivX   s    zTestArithmetic.test_lagdivc                 C   s|   t dD ]n}t dD ]`}d| d| }t|d }ttj|g| tdg}t||}tt	|t	||d qqd S )Nr+   r,   r-   r	   r.   )
r0   r1   aranger   r   r?   arrayZlagpowr   r   )r   r6   r7   r8   cr9   r:   r   r   r   test_lagpowc   s    zTestArithmetic.test_lagpowN)r#   r$   r%   r1   linspacer   r;   r<   r=   rA   rE   rI   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S )TestEvaluation)g      "@g      ,g      @i,j->ij
i,j,k->ijkr(   r+   r   r	   )      ?g       @g      @c                    s   t tg dgjd tdd  fddtD }tdD ]<}d| }|| }t dg| dg }t|||d q<td	D ]^}d
g| }t	| t t dgj
| t t ddgj
| t t g dj
| qd S )Nr	   r   r
   c                    s   g | ]}t  |qS r   r   .0rH   r   r   r   
<listcomp>}       z.TestEvaluation.test_lagval.<locals>.<listcomp>   r,   r.   r(   r   )r	   r   r   )r   r   r>   sizer1   rJ   Llistr0   r   r2   shape)r   yr6   r8   r9   r:   dimsr   r   r   test_lagvalw   s    


zTestEvaluation.test_lagvalc           
      C   s   | j \}}}| j\}}}tttj||d d | j || }t||| j}t|| t	d}	t|	|	| j}t
|jdk d S Nr   r   r(   )r   rX   r   
ValueErrorr   lagval2dc2dr   r1   onesr   rW   
r   x1x2x3y1y2Zy3r9   r:   zr   r   r   test_lagval2d   s    

zTestEvaluation.test_lagval2dc           
      C   s   | j \}}}| j\}}}tttj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S r[   )r   rX   r   r]   r   lagval3dc3dr   r1   r`   r   rW   ra   r   r   r   test_lagval3d   s    

zTestEvaluation.test_lagval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )NrL   r\   )r   r(   r   r(   )r   rX   r1   einsumr   Z	laggrid2dr_   r   r`   r   rW   ra   r   r   r   test_laggrid2d   s    

zTestEvaluation.test_laggrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )NrM   r\   )r   r(   r   r(   r   r(   )r   rX   r1   rl   r   Z	laggrid3drj   r   r`   r   rW   ra   r   r   r   test_laggrid3d   s    

zTestEvaluation.test_laggrid3dN)r#   r$   r%   r1   rG   Zc1drl   r_   rj   randomr   r   rX   rZ   rh   rk   rm   rn   r   r   r   r   rK   m   s   rK   c                   @   s   e Zd Zdd Zdd ZdS )TestIntegralc           
   	   C   s2  t ttjdgd t ttjdgd t ttjdgdddg t ttjdgdgd t ttjdgdgd t ttjdgdd tdd	D ]8}dg|d  dg }tjdg||d
}t|ddg qtd	D ]n}|d }dg| dg }|gdg|  d| g }t|}tj|d|gd
}t|}tt	|t	| qtd	D ]N}|d }dg| dg }t|}tj|d|gdd}tt
d|| q@td	D ]r}|d }dg| dg }|gdg|  d| g }t|}tj|d|gdd}t|}tt	|t	| qtd	D ]r}tdd	D ]`}	dg| dg }|d d  }t|	D ]}tj|dd}qJtj||	d}tt	|t	| q"qtd	D ]}tdd	D ]n}	dg| dg }|d d  }t|	D ]}tj|d|gd
}qtj||	tt|	d
}tt	|t	| qqtd	D ]}tdd	D ]r}	dg| dg }|d d  }t|	D ]}tj|d|gdd}qPtj||	tt|	dd}tt	|t	| q(qtd	D ]}tdd	D ]r}	dg| dg }|d d  }t|	D ]}tj|d|gdd}qtj||	tt|	dd}tt	|t	| qqd S )Nr         ?r
   r	   )lbnd)sclaxisr   r+   )mk)rv   rw   rr   )rv   rw   rs   rv   )r   	TypeErrorr   lagintr]   r0   r   poly2laglag2polyr   r>   list)
r   r6   rw   r:   rs   polr9   Zlagpolrz   r7   r   r   r   test_lagint   s    




zTestIntegral.test_lagintc                 C   s   t jd}t dd |jD j}tj|dd}t|| t dd |D }tj|dd}t|| t dd |D }tj|d	dd
}t|| d S )Nr(      c                 S   s   g | ]}t |qS r   r   rz   rP   r   r   r   rR   $  rS   z1TestIntegral.test_lagint_axis.<locals>.<listcomp>r   rt   c                 S   s   g | ]}t |qS r   r   rP   r   r   r   rR   (  rS   r	   c                 S   s   g | ]}t j|d dqS )r(   )rw   r   rP   r   r   r   rR   ,  rS   r(   )rw   ru   )r1   ro   vstackTr   rz   r   r   r_   r9   r:   r   r   r   test_lagint_axis   s    

zTestIntegral.test_lagint_axisN)r#   r$   r%   r   r   r   r   r   r   rp      s   Srp   c                   @   s   e Zd Zdd Zdd ZdS )TestDerivativec                 C   s  t ttjdgd t ttjdgd tdD ]4}dg| dg }tj|dd}tt|t| q,tdD ]N}tddD ]>}dg| dg }tjtj||d|d}t	t|t| qxqjtdD ]R}tddD ]B}dg| dg }tjtj||dd|dd}t	t|t| qqd S )	Nr   rq   r
   r+   r	   rx   r   )rv   rs   )
r   ry   r   lagderr]   r0   r   r   rz   r   )r   r6   r9   r:   r7   r   r   r   test_lagder3  s     zTestDerivative.test_lagderc                 C   sl   t jd}t dd |jD j}tj|dd}t|| t dd |D }tj|dd}t|| d S )Nr   c                 S   s   g | ]}t |qS r   r   r   rP   r   r   r   rR   P  rS   z3TestDerivative.test_lagder_axis.<locals>.<listcomp>r   rt   c                 S   s   g | ]}t |qS r   r   rP   r   r   r   rR   T  rS   r	   )r1   ro   r   r   r   r   r   r   r   r   r   test_lagder_axisL  s    
zTestDerivative.test_lagder_axisN)r#   r$   r%   r   r   r   r   r   r   r   1  s   r   c                   @   s8   e Zd Zejdd d Zdd Zdd Zdd	 Zd
S )
TestVanderrN   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 )Nr(   r   r   r   r	   .r   r+   r   )r(   r   r   )
r1   rF   r   	lagvanderr   rW   r0   r   r>   rG   )r   r   vr6   coefr   r   r   test_lagvander]  s    
zTestVander.test_lagvanderc                 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   r1   ro   r   Zlagvander2dr^   dotflatr   r   rW   r   rb   rc   rd   rH   Zvanr9   r:   r   r   r   test_lagvander2dn  s    
zTestVander.test_lagvander2dc                 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 )N)r   r(   r   )r	   r   r(   )r	   r+   r   )r   r1   ro   r   Zlagvander3dri   r   r   r   r   rW   r   r   r   r   test_lagvander3d{  s    
zTestVander.test_lagvander3dN)	r#   r$   r%   r1   ro   r   r   r   r   r   r   r   r   r   Y  s   r   c                   @   s   e Zd Zdd ZdS )TestFittingc                 C   sf  dd }t ttjdgdgd t ttjdggdgd t ttjg dgd t ttjdgdgggd t ttjddgdgd t ttjdgddgd t ttjdgdgddggd t ttjdgdgdddgd t ttjdgdgdg t ttjdgdgg d t ttjdgdgg  tdd}||}t||d	}tt|d
 t	t
||| t||g d}tt|d
 t	t
||| t||d
}tt|d t	t
||| t||g d}tt|d t	t
||| t|t||gjd	}t	|t||gj t|t||gjg d}t	|t||gj t|}| }d|dd d< d|dd d< tj||d	|d}	t	|	| tj||g d|d}	t	|	| tj|t||gjd	|d}
t	|
t||gj tj|t||gjg d|d}
t	|
t||gj g d}t	t||dddg t	t||ddgddg d S )Nc                 S   s   | | d  | d  S )Nr	   r   r   r   r   r   r   f  s    z"TestFitting.test_lagfit.<locals>.fr	   r
   r   r   )w)r   r
   r   r(   r   )r   r	   r   r(   r+   )r   r	   r   r(   r   )r	   y              ?r
   y             )r   r]   r   Zlagfitry   r1   rJ   r   r@   r   r>   rG   r   Z
zeros_likecopy)r   r   r   rX   Zcoef3Zcoef4Zcoef2dr   ZywZwcoef3Zwcoef2dr   r   r   test_lagfit  sZ    


"zTestFitting.test_lagfitN)r#   r$   r%   r   r   r   r   r   r     s   r   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestCompanionc                 C   s"   t ttjg  t ttjdg d S r    )r   r]   r   lagcompanionr   r   r   r   test_raises  s    zTestCompanion.test_raisesc                 C   s<   t ddD ],}dg| dg }tt|j||fk q
d S )Nr	   r+   r   )r0   r   r   r   rW   )r   r6   r   r   r   r   test_dimensions  s    zTestCompanion.test_dimensionsc                 C   s   t tddgd dk d S )Nr	   r   )r   r   g      ?)r   r   r   r   r   r   r   test_linear_root  s    zTestCompanion.test_linear_rootN)r#   r$   r%   r   r   r   r   r   r   r   r     s   r   c                   @   s   e Zd Zdd ZdS )	TestGaussc                 C   s|   t d\}}t |d}t|j| |}dt|  }|d d d f | | }t|t	d d}t|
 | d S )Nr)   c   r	   rO   )r   Zlaggaussr   r1   r   r   sqrtZdiagonalr   eyesum)r   r   r   r   ZvvZvdr9   r   r   r   test_100  s    zTestGauss.test_100N)r#   r$   r%   r   r   r   r   r   r     s   r   c                   @   sD   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dS )TestMiscc              	   C   s   t g }tt|dg tddD ]z}tttj dd| d dd d }t |}t 	||}d}t
t||d k tt |d d t|| q$d S )Nr	   r+   r   r   r
   )r   lagfromrootsr   r   r0   r1   cosrJ   pir>   r   r@   r|   )r   r:   r6   rootsr~   r9   r   r   r   test_lagfromroots  s    
*
zTestMisc.test_lagfromrootsc                 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   Zlagrootsr0   r1   rJ   r   r   )r   r6   r9   r:   r   r   r   test_lagroots  s    zTestMisc.test_lagrootsc                 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   r]   r   r   r   )r   r   r   r   r   test_lagtrim  s
    zTestMisc.test_lagtrimc                 C   s   t tddddg d S )Nr(   r   rT   r   )r   r   Zlagliner   r   r   r   test_lagline
  s    zTestMisc.test_laglinec                 C   s2   t dD ]$}ttdg| dg t|  qd S NrT   r   r	   )r0   r   r   r|   rV   r   r6   r   r   r   test_lag2poly  s    zTestMisc.test_lag2polyc                 C   s2   t dD ]$}ttt| dg| dg  qd S r   )r0   r   r   r{   rV   r   r   r   r   test_poly2lag  s    zTestMisc.test_poly2lagc                 C   s2   t ddd}t | }t|}t|| d S )Nr   
      )r1   rJ   expr   Z	lagweightr   )r   r   r9   r:   r   r   r   test_weight  s    
zTestMisc.test_weightN)
r#   r$   r%   r   r   r   r   r   r   r   r   r   r   r   r     s   r   )$__doc__	functoolsr   numpyr1   Znumpy.polynomial.laguerreZ
polynomialZlaguerrer   Znumpy.polynomial.polynomialr   Znumpy.testingr   r   r   r   rG   ZL0ZL1ZL2ZL3ZL4ZL5ZL6rV   r   r   r&   rK   rp   r   r   r   r   r   r   r   r   r   r   <module>   s0   B^f(0>