a
    LfI                  
   @   s  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ZeddgZeg dZeg dZeg d	Zeg d
Zeg dZeg dZeg dZeg dZeee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 hermite_e module.

    )reduceNpolyval)assert_almost_equalassert_raisesassert_equalassert_   )r   r	   )r   r   r	   )   r   ir   r	   )r      r   ir   r	   )r   -   r   r   r   r	   )r   ir   i   r   ir   r	   )	r   r   i\r      r   ir   r	   )
r   i  r   ir   iz  r   ir   r	   c                 C   s   t j| ddS )Ngư>)Ztol)herme	hermetrimx r   ^/var/www/ai-form-bot/venv/lib/python3.9/site-packages/numpy/polynomial/tests/test_hermite_e.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hermedomainselfr   r   r   test_hermedomain!   s    zTestConstants.test_hermedomainc                 C   s   t tjdg d S )Nr   )r   r   Z	hermezeror   r   r   r   test_hermezero$   s    zTestConstants.test_hermezeroc                 C   s   t tjdg d S Nr	   )r   r   Zhermeoner   r   r   r   test_hermeone'   s    zTestConstants.test_hermeonec                 C   s   t tjddg d S )Nr   r	   )r   r   Zhermexr   r   r   r   test_hermex*   s    zTestConstants.test_hermexN)__name__
__module____qualname__r   r   r   r    r   r   r   r   r      s   r   c                   @   sJ   e Zd ZedddZdd Zdd Zdd	 Zd
d Z	dd Z
dd ZdS )TestArithmeticr   r   d   c                 C   s   t dD ]}t dD ]}d| d| }tt||d }||  d7  < ||  d7  < tdg| dg dg| dg }tt|t||d qqd S N   At i=, j=r	   r   err_msg)rangenpzerosmaxr   hermeaddr   r   r   ijmsgtgtresr   r   r   test_hermeadd1   s    $zTestArithmetic.test_hermeaddc                 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&   )r,   r-   r.   r/   r   Zhermesubr   r   r1   r   r   r   test_hermesub;   s    $zTestArithmetic.test_hermesubc                 C   sv   t tdgdg t tdgddg tddD ]<}dg| dg }dg|d  |ddg }t t|| q4d S )Nr   r	   r'   )r   r   Z	hermemulxr,   )r   r2   Zserr5   r   r   r   test_hermemulxE   s    zTestArithmetic.test_hermemulxc           
      C   s   t dD ]}dg| dg }t| j|}t dD ]x}d| d| }dg| dg }t| j|}t||}t| j|}	tt||| d k| t|	|| |d q2qd S )Nr'   r   r	   r(   r)   r*   )r,   r   hermevalr   hermemulr   lenr   )
r   r2   Zpol1Zval1r3   r4   Zpol2Zval2Zpol3Zval3r   r   r   test_hermemulM   s    zTestArithmetic.test_hermemulc           
      C   s   t dD ]}t dD ]z}d| d| }dg| dg }dg| dg }t||}t||\}}tt|||}	tt|	t||d qqd S )Nr'   r(   r)   r   r	   r*   )r,   r   r0   Zhermedivr;   r   r   )
r   r2   r3   r4   cicjr5   Zquoremr6   r   r   r   test_hermediv[   s    zTestArithmetic.test_hermedivc                 C   s|   t dD ]n}t dD ]`}d| d| }t|d }ttj|g| tdg}t||}tt	|t	||d qqd S )Nr'   r(   r)   r	   r*   )
r,   r-   aranger   r   r;   arrayZhermepowr   r   )r   r2   r3   r4   cr5   r6   r   r   r   test_hermepowf   s    zTestArithmetic.test_hermepowN)r!   r"   r#   r-   linspacer   r7   r8   r9   r=   rA   rE   r   r   r   r   r$   .   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      @       @      @i,j->ij
i,j,k->ijkr   r'      r	   )g      ?rH   rI   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   .0rD   r   r   r   
<listcomp>       z0TestEvaluation.test_hermeval.<locals>.<listcomp>
   r(   r*   r   rM   )r	   r   r   )r   r   r:   sizer-   rF   Helistr,   r   r.   shape)r   yr2   r4   r5   r6   dimsr   r   r   test_hermevalz   s    


zTestEvaluation.test_hermevalc           
      C   s   | j \}}}| j\}}}tttj||d d | j || }t||| j}t|| t	d}	t|	|	| j}t
|jdk d S NrM   rM   r   )r   rV   r   
ValueErrorr   
hermeval2dc2dr   r-   onesr   rU   
r   x1x2x3y1y2Zy3r5   r6   zr   r   r   test_hermeval2d   s    

zTestEvaluation.test_hermeval2dc           
      C   s   | j \}}}| j\}}}tttj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S rY   )r   rV   r   r[   r   
hermeval3dc3dr   r-   r^   r   rU   r_   r   r   r   test_hermeval3d   s    

zTestEvaluation.test_hermeval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )NrJ   rZ   )rM   r   rM   r   )r   rV   r-   einsumr   Zhermegrid2dr]   r   r^   r   rU   r_   r   r   r   test_hermegrid2d   s    

zTestEvaluation.test_hermegrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )NrK   rZ   )rM   r   rM   r   rM   r   )r   rV   r-   rj   r   Zhermegrid3drh   r   r^   r   rU   r_   r   r   r   test_hermegrid3d   s    

zTestEvaluation.test_hermegrid3dN)r!   r"   r#   r-   rC   Zc1drj   r]   rh   randomr   r   rV   rX   rf   ri   rk   rl   r   r   r   r   rG   p   s   rG   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axisrM   r'   )mk)rt   ru   rp   )rt   ru   rq   rt   )r   	TypeErrorr   hermeintr[   r,   r   
poly2herme
herme2polyr   r:   list)
r   r2   ru   r6   rq   polr5   Zhermepolrx   r3   r   r   r   test_hermeint   s    




zTestIntegral.test_hermeintc                 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   rx   rN   r   r   r   rP   '  rQ   z3TestIntegral.test_hermeint_axis.<locals>.<listcomp>r   rr   c                 S   s   g | ]}t |qS r   r   rN   r   r   r   rP   +  rQ   r	   c                 S   s   g | ]}t j|d dqS )r   )ru   r   rN   r   r   r   rP   /  rQ   r   )ru   rs   )r-   rm   vstackTr   rx   r   r   r]   r5   r6   r   r   r   test_hermeint_axis#  s    

zTestIntegral.test_hermeint_axisN)r!   r"   r#   r}   r   r   r   r   r   rn      s   Srn   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   ro   r
   r'   r	   rv   rM   )rt   rq   )
r   rw   r   hermederr[   r,   r   r   rx   r   )r   r2   r5   r6   r3   r   r   r   test_hermeder6  s$    zTestDerivative.test_hermederc                 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   rN   r   r   r   rP   T  rQ   z5TestDerivative.test_hermeder_axis.<locals>.<listcomp>r   rr   c                 S   s   g | ]}t |qS r   r   rN   r   r   r   rP   X  rQ   r	   )r-   rm   r   r   r   r   r   r   r   r   r   test_hermeder_axisP  s    
z!TestDerivative.test_hermeder_axisN)r!   r"   r#   r   r   r   r   r   r   r   4  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 )
TestVanderrL   rM   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	   .rM   r'      )r   rM   r   )
r-   rB   r   hermevanderr   rU   r,   r   r:   rC   )r   r   vr2   coefr   r   r   test_hermevandera  s    
zTestVander.test_hermevanderc                 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 )NrZ   r	   rM   )r	   r'   r   )r   r-   rm   r   Zhermevander2dr\   dotflatr   r   rU   r   r`   ra   rb   rD   Zvanr5   r6   r   r   r   test_hermevander2dr  s    
zTestVander.test_hermevander2dc                 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)rM   r   r   )r	   rM   r   )r	   r'      )r   r-   rm   r   Zhermevander3drg   r   r   r   r   rU   r   r   r   r   test_hermevander3d  s    
zTestVander.test_hermevander3dN)	r!   r"   r#   r-   rm   r   r   r   r   r   r   r   r   r   ]  s   r   c                   @   s   e Zd Zdd ZdS )TestFittingc                 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||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	   rM   r   r   r   r   r   f  s    z$TestFitting.test_hermefit.<locals>.fc                 S   s   | d | d  d S )Nr   rM   r	   r   r   r   r   r   f2  s    z%TestFitting.test_hermefit.<locals>.f2r	   r
   r   rM   )w)rM   r
   r   r   r   )r   r	   rM   r   r'   )r   r	   rM   r   r   )rM   r   r   r	   r   )r	   y              ?r
   y             )r   rM   r   )r   r[   r   Zhermefitrw   r-   rF   r   r<   r   r:   rC   r   Z
zeros_likecopy)r   r   r   r   rV   Zcoef3Zcoef4Zcoef2dr   ZywZwcoef3Zwcoef2dZcoef1Zcoef2r   r   r   test_hermefit  sp    


"zTestFitting.test_hermefitN)r!   r"   r#   r   r   r   r   r   r     s   r   c                   @   s$   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   hermecompanionr   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   )r,   r   r   r   rU   )r   r2   r   r   r   r   test_dimensions  s    zTestCompanion.test_dimensionsc                 C   s   t tddgd dk d S )Nr	   rM   )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S )	TestGaussc                 C   s   t d\}}t |d}t|j| |}dt|  }|d d d f | | }t|t	d tdtj
 }t| | d S )Nr%   c   r	   rM   )r   Z
hermegaussr   r-   r   r   sqrtZdiagonalr   eyepisum)r   r   r   r   ZvvZvdr5   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$d S )Nr	   r'   r   rM   r
   )r   hermefromrootsr   r   r,   r-   cosrF   r   r:   r   r<   rz   )r   r6   r2   rootsr|   r5   r   r   r   test_hermefromroots  s    
*
zTestMisc.test_hermefromrootsc                 C   sl   t tdgg  t tddgdg tddD ]4}tdd|}tt|}t t|t| q2d S )Nr	   r
   rM   r'   )r   r   Z
hermerootsr,   r-   rF   r   r   )r   r2   r5   r6   r   r   r   test_hermeroots
  s    zTestMisc.test_hermerootsc                 C   sb   g d}t ttj|d tt||d d  tt|d|d d  tt|ddg d S )N)rM   r
   r	   r   r
   r	   r   rM   r   )r   r[   r   r   r   )r   r   r   r   r   test_hermetrim  s
    zTestMisc.test_hermetrimc                 C   s   t tddddg d S )Nr   r   )r   r   Z	hermeliner   r   r   r   test_hermeline  s    zTestMisc.test_hermelinec                 C   s2   t dD ]$}ttdg| dg t|  qd S NrR   r   r	   )r,   r   r   rz   rT   r   r2   r   r   r   test_herme2poly   s    zTestMisc.test_herme2polyc                 C   s2   t dD ]$}ttt| dg| dg  qd S r   )r,   r   r   ry   rT   r   r   r   r   test_poly2herme$  s    zTestMisc.test_poly2hermec                 C   s8   t ddd}t d|d  }t|}t|| d S )Nr'      r   rM   )r-   rF   expr   Zhermeweightr   )r   r   r5   r6   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   numpyr-   Znumpy.polynomial.hermite_eZ
polynomialZ	hermite_er   Znumpy.polynomial.polynomialr   Znumpy.testingr   r   r   r   rC   ZHe0ZHe1ZHe2ZHe3ZHe4ZHe5ZHe6ZHe7ZHe8ZHe9rT   r   r   r$   rG   rn   r   r   r   r   r   r   r   r   r   r   <module>   s6   B^f)0M