a
    hÝEbßI  ã                
   @   sˆ  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ƒZG dd„ dƒZG dd„ dƒZG dd„ dƒZ G dd„ dƒZ!G dd„ dƒZ"G dd„ dƒZ#G dd „ d ƒZ$G d!d"„ d"ƒZ%G d#d$„ d$ƒZ&dS )%zTests for hermite_e module.

é    )ÚreduceN©Úpolyval)Úassert_almost_equalÚassert_raisesÚassert_equalÚassert_é   )éÿÿÿÿr   r	   )r   éýÿÿÿr   r	   )é   r   iúÿÿÿr   r	   )r   é   r   iöÿÿÿr   r	   )éñÿÿÿr   é-   r   r   r   r	   )r   i—ÿÿÿr   éi   r   iëÿÿÿr   r	   )	r   r   i\þÿÿr   éÒ   r   iäÿÿÿr   r	   )
r   i±  r   iûÿÿr   iz  r   iÜÿÿÿr   r	   c                 C   s   t j| dd�S )Ng�íµ ÷Æ°>)Ztol)ÚhermeÚ	hermetrim©Úx© r   úe/home/ja/django-apps/lartica_env/lib/python3.9/site-packages/numpy/polynomial/tests/test_hermite_e.pyÚtrim   s    r   c                   @   s,   e Zd Zdd„ Zdd„ Zdd„ Zdd„ Zd	S )
ÚTestConstantsc                 C   s   t tjddgƒ d S )Nr
   r	   )r   r   Zhermedomain©Úselfr   r   r   Útest_hermedomain!   s    zTestConstants.test_hermedomainc                 C   s   t tjdgƒ d S )Nr   )r   r   Z	hermezeror   r   r   r   Útest_hermezero$   s    zTestConstants.test_hermezeroc                 C   s   t tjdgƒ d S ©Nr	   )r   r   Zhermeoner   r   r   r   Útest_hermeone'   s    zTestConstants.test_hermeonec                 C   s   t tjddgƒ d S )Nr   r	   )r   r   Zhermexr   r   r   r   Útest_hermex*   s    zTestConstants.test_hermexN)Ú__name__Ú
__module__Ú__qualname__r   r   r   r    r   r   r   r   r      s   r   c                   @   sJ   e Zd Ze ddd¡Zdd„ Zdd„ Zdd	„ Zd
d„ Z	dd„ Z
dd„ ZdS )ÚTestArithmeticr   r   éd   c                 C   sž   t dƒD ]�}t dƒD ]‚}d|› d|› �}t t||ƒd ¡}||  d7  < ||  d7  < t dg| dg dg| dg ¡}tt|ƒt|ƒ|d� qqd S ©Né   úAt i=ú, j=r	   r   ©Úerr_msg)ÚrangeÚnpÚzerosÚmaxr   Úhermeaddr   r   ©r   ÚiÚjÚmsgÚtgtÚresr   r   r   Útest_hermeadd1   s    $zTestArithmetic.test_hermeaddc                 C   sž   t dƒD ]�}t dƒD ]‚}d|› d|› �}t t||ƒd ¡}||  d7  < ||  d8  < t dg| dg dg| dg ¡}tt|ƒt|ƒ|d� qqd S r&   )r,   r-   r.   r/   r   Zhermesubr   r   r1   r   r   r   Útest_hermesub;   s    $zTestArithmetic.test_hermesubc                 C   sv   t t dg¡dgƒ t t dg¡ddgƒ tddƒD ]<}dg| dg }dg|d  |ddg }t t |¡|ƒ q4d S )Nr   r	   r'   )r   r   Z	hermemulxr,   )r   r2   Zserr5   r   r   r   Útest_hermemulxE   s    zTestArithmetic.test_hermemulxc           
      C   s²   t dƒD ]¤}dg| dg }t | j|¡}t dƒD ]x}d|› d|› �}dg| dg }t | j|¡}t ||¡}t | j|¡}	tt|ƒ|| d k|ƒ t|	|| |d� q2qd S )Nr'   r   r	   r(   r)   r*   )r,   r   Úhermevalr   Úhermemulr   Úlenr   )
r   r2   Zpol1Zval1r3   r4   Zpol2Zval2Zpol3Zval3r   r   r   Útest_hermemulM   s    zTestArithmetic.test_hermemulc           
      C   s–   t dƒD ]ˆ}t dƒD ]z}d|› d|› �}dg| dg }dg| dg }t ||¡}t ||¡\}}t t ||¡|¡}	tt|	ƒt|ƒ|d� qqd S )Nr'   r(   r)   r   r	   r*   )r,   r   r0   Zhermedivr;   r   r   )
r   r2   r3   r4   ÚciÚcjr5   ZquoÚremr6   r   r   r   Útest_hermediv[   s    zTestArithmetic.test_hermedivc                 C   s|   t dƒD ]n}t dƒD ]`}d|› d|› �}t |d ¡}ttj|g| t dg¡ƒ}t ||¡}tt	|ƒt	|ƒ|d� qqd S )Nr'   r(   r)   r	   r*   )
r,   r-   Úaranger   r   r;   ÚarrayZhermepowr   r   )r   r2   r3   r4   Úcr5   r6   r   r   r   Útest_hermepowf   s    zTestArithmetic.test_hermepowN)r!   r"   r#   r-   Úlinspacer   r7   r8   r9   r=   rA   rE   r   r   r   r   r$   .   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¢ƒZdd	„ Zd
d„ Zdd„ Zdd„ Zdd„ ZdS )ÚTestEvaluation)g      @ç       @ç      @úi,j->ijú
i,j,k->ijk©r   r'   é   r	   )g      ð?rH   rI   c                    sæ   t t g dg¡jdƒ t dd¡‰ ‡ fdd„tD ƒ}tdƒD ]<}d|› �}|| }t ˆ dg| dg ¡}t|||d� q<td	ƒD ]^}d
g| }t 	|¡‰ t t ˆ dg¡j
|ƒ t t ˆ ddg¡j
|ƒ t t ˆ g d¢¡j
|ƒ q‚d S )Nr	   r   r
   c                    s   g | ]}t ˆ |ƒ‘qS r   r   ©Ú.0rD   r   r   r   Ú
<listcomp>€   ó    z0TestEvaluation.test_hermeval.<locals>.<listcomp>é
   r(   r*   r   rM   )r	   r   r   )r   r   r:   Úsizer-   rF   ÚHelistr,   r   r.   Úshape)r   Úyr2   r4   r5   r6   Údimsr   r   r   Útest_hermevalz   s    


zTestEvaluation.test_hermevalc           
      C   s‚   | j \}}}| j\}}}tttj||d d… | jƒ || }t ||| j¡}t||ƒ t 	d¡}	t |	|	| j¡}t
|jdkƒ d S ©NrM   ©rM   r   )r   rV   r   Ú
ValueErrorr   Ú
hermeval2dÚc2dr   r-   Úonesr   rU   ©
r   Úx1Úx2Úx3Úy1Úy2Zy3r5   r6   Úzr   r   r   Útest_hermeval2d�   s    

zTestEvaluation.test_hermeval2dc           
      C   sŒ   | j \}}}| j\}}}tttj|||d d… | jƒ || | }t |||| j¡}t||ƒ t 	d¡}	t |	|	|	| j¡}t
|jdkƒ d S rY   )r   rV   r   r[   r   Ú
hermeval3dÚc3dr   r-   r^   r   rU   r_   r   r   r   Útest_hermeval3d    s    

zTestEvaluation.test_hermeval3dc           
      C   sl   | j \}}}| j\}}}t d||¡}t ||| j¡}t||ƒ t d¡}	t |	|	| j¡}t	|j
dkƒ d S )NrJ   rZ   )rM   r   rM   r   )r   rV   r-   Úeinsumr   Zhermegrid2dr]   r   r^   r   rU   r_   r   r   r   Útest_hermegrid2d±   s    

zTestEvaluation.test_hermegrid2dc           
      C   sr   | j \}}}| j\}}}t d|||¡}t |||| j¡}t||ƒ t d¡}	t |	|	|	| j¡}t	|j
dkƒ 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   Útest_hermegrid3d¿   s    

zTestEvaluation.test_hermegrid3dN)r!   r"   r#   r-   rC   Zc1drj   r]   rh   Ú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 )ÚTestIntegralc           
   	   C   s2  t ttjdgdƒ t ttjdgdƒ t ttjdgdddgƒ 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	ƒD ]8}dg|d  dg }tjdg||d
�}t|ddgƒ q†td	ƒD ]n}|d }dg| dg }|gdg|  d| g }t |¡}tj|d|gd
�}t |¡}tt	|ƒt	|ƒƒ qÈtd	ƒD ]N}|d }dg| dg }t |¡}tj|d|gdd�}tt 
d|¡|ƒ �q@td	ƒD ]r}|d }dg| dg }|gdg|  d| g }t |¡}tj|d|gdd�}t |¡}tt	|ƒt	|ƒƒ �q˜td	ƒD ]r}tdd	ƒD ]`}	dg| dg }|d d … }t|	ƒD ]}tj|dd�}�qJtj||	d�}tt	|ƒt	|ƒƒ �q"�qtd	ƒD ]€}tdd	ƒD ]n}	dg| dg }|d d … }t|	ƒD ]}tj|d|gd
�}�qÆtj||	tt|	ƒƒd
�}tt	|ƒt	|ƒƒ �qž�q�td	ƒD ]„}tdd	ƒD ]r}	dg| dg }|d d … }t|	ƒD ]}tj|d|gdd�}�qPtj||	tt|	ƒƒdd�}tt	|ƒt	|ƒƒ �q(�qtd	ƒD ]„}tdd	ƒD ]r}	dg| dg }|d d … }t|	ƒD ]}tj|d|gdd�}�qÞtj||	tt|	ƒƒdd�}tt	|ƒt	|ƒƒ �q¶�q¨d S )Nr   ç      à?r
   r	   )Úlbnd)Úscl©ÚaxisrM   r'   )ÚmÚk)rt   ru   rp   )rt   ru   rq   ©rt   )r   Ú	TypeErrorr   Úhermeintr[   r,   r   Ú
poly2hermeÚ
herme2polyr   r:   Úlist)
r   r2   ru   r6   rq   Úpolr5   Zhermepolrx   r3   r   r   r   Útest_hermeintÐ   s€    




zTestIntegral.test_hermeintc                 C   sš   t j d¡}t  dd„ |jD ƒ¡j}tj|dd�}t||ƒ t  dd„ |D ƒ¡}tj|dd�}t||ƒ t  dd„ |D ƒ¡}tj|d	dd
�}t||ƒ d S )N©r   é   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   ÚvstackÚTr   rx   r   ©r   r]   r5   r6   r   r   r   Útest_hermeint_axis#  s    

zTestIntegral.test_hermeint_axisN)r!   r"   r#   r}   r„   r   r   r   r   rn   Î   s   Srn   c                   @   s   e Zd Zdd„ Zdd„ ZdS )ÚTestDerivativec                 C   s  t ttjdgdƒ t ttjdgdƒ tdƒD ]4}dg| dg }tj|dd�}tt|ƒt|ƒƒ q,tdƒD ]N}tddƒD ]>}dg| dg }tjtj||d�|d�}t	t|ƒt|ƒƒ qxqjtdƒD ]R}tddƒD ]B}dg| dg }tjtj||dd�|dd�}t	t|ƒt|ƒƒ qÐqÂd S )	Nr   ro   r
   r'   r	   rv   rM   )rt   rq   )
r   rw   r   Úhermederr[   r,   r   r   rx   r   )r   r2   r5   r6   r3   r   r   r   Útest_hermeder6  s$    ÿzTestDerivative.test_hermederc                 C   sl   t j d¡}t  dd„ |jD ƒ¡j}tj|dd�}t||ƒ t  dd„ |D ƒ¡}tj|dd�}t||ƒ 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   rˆ   rN   r   r   r   rP   X  rQ   r	   )r-   rm   r�   r‚   r   r†   r   rƒ   r   r   r   Ú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 )Ú
TestVanderrL   rM   r	   c                 C   sÎ   t  d¡}t |d¡}t|jdkƒ tdƒD ].}dg| dg }t|d|f t ||¡ƒ q,t  	ddgddgdd	gg¡}t |d¡}t|jd
kƒ tdƒD ].}dg| dg }t|d|f t ||¡ƒ qšd S )Nr   r~   r   r   r	   .rM   r'   é   )r   rM   r   )
r-   rB   r   Úhermevanderr   rU   r,   r   r:   rC   )r   r   Úvr2   Úcoefr   r   r   Útest_hermevandera  s    
zTestVander.test_hermevanderc                 C   sx   | j \}}}tj d¡}t ||ddg¡}t |||¡}t ||j¡}t||ƒ t |g|gddg¡}t	|j
dkƒ d S )NrZ   r	   rM   )r	   r'   r‹   )r   r-   rm   r   Zhermevander2dr\   ÚdotÚflatr   r   rU   ©r   r`   ra   rb   rD   Zvanr5   r6   r   r   r   Útest_hermevander2dr  s    
zTestVander.test_hermevander2dc                 C   s€   | j \}}}tj d¡}t |||g d¢¡}t ||||¡}t ||j¡}t||ƒ t |g|g|gg d¢¡}t	|j
dkƒ d S )N)rM   r   r   )r	   rM   r   )r	   r'   é   )r   r-   rm   r   Zhermevander3drg   r�   r‘   r   r   rU   r’   r   r   r   Útest_hermevander3d  s    
zTestVander.test_hermevander3dN)	r!   r"   r#   r-   rm   r   r�   r“   r•   r   r   r   r   rŠ   ]  s   rŠ   c                   @   s   e Zd Zdd„ ZdS )ÚTestFittingc                 C   s  dd„ }dd„ }t ttjdgdgdƒ t ttjdggdgdƒ t ttjg dgdƒ t ttjdgdgggdƒ t ttjddgdgdƒ t ttjdgddgdƒ 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ƒ t ttjdgdgg d
¢ƒ t ttjdgdgg ƒ t dd¡}||ƒ}t ||d¡}tt|ƒdƒ t	t 
||¡|ƒ t ||g d¢¡}tt|ƒdƒ t	t 
||¡|ƒ t ||d¡}tt|ƒdƒ t	t 
||¡|ƒ t ||g d¢¡}tt|ƒdƒ t	t 
||¡|ƒ t ||g d¢¡}tt|ƒdƒ t	t 
||¡|ƒ t |t ||g¡jd¡}t	|t ||g¡jƒ t |t ||g¡jg d¢¡}t	|t ||g¡jƒ t |¡}| ¡ }	d|dd d…< d|dd d…< tj||	d|d	�}
t	|
|ƒ tj||	g d¢|d	�}
t	|
|ƒ tj|t |	|	g¡jd|d	�}t	|t ||g¡jƒ tj|t |	|	g¡jg d¢|d	�}t	|t ||g¡jƒ g d¢}t	t ||d¡ddgƒ t	t ||ddg¡ddgƒ t dd¡}||ƒ}t ||d¡}t	t 
||¡|ƒ t ||g d¢¡}t	t 
||¡|ƒ t	||ƒ d S )Nc                 S   s   | | d  | d  S )Nr	   rM   r   r   r   r   r   Úf�  s    z$TestFitting.test_hermefit.<locals>.fc                 S   s   | d | d  d S )Nr   rM   r	   r   r   r   r   r   Úf2“  s    z%TestFitting.test_hermefit.<locals>.f2r	   r
   r   rM   )Úw)rM   r
   r‹   r   r   )r   r	   rM   r   r'   )r   r	   rM   r   r   )rM   r   r   r	   r   )r	   y              ð?r
   y       €      ð¿)r   rM   r   )r   r[   r   Zhermefitrw   r-   rF   r   r<   r   r:   rC   r‚   Z
zeros_likeÚcopy)r   r—   r˜   r   rV   Zcoef3Zcoef4Zcoef2dr™   ZywZwcoef3Zwcoef2dZcoef1Zcoef2r   r   r   Útest_hermefit�  sp    


"zTestFitting.test_hermefitN)r!   r"   r#   r›   r   r   r   r   r–   �  s   r–   c                   @   s$   e Zd Zdd„ Zdd„ Zdd„ ZdS )ÚTestCompanionc                 C   s"   t ttjg ƒ t ttjdgƒ d S r   )r   r[   r   Úhermecompanionr   r   r   r   Útest_raisesÜ  s    zTestCompanion.test_raisesc                 C   s<   t ddƒD ],}dg| dg }tt |¡j||fkƒ q
d S )Nr	   r'   r   )r,   r   r   r�   rU   )r   r2   rŽ   r   r   r   Útest_dimensionsà  s    zTestCompanion.test_dimensionsc                 C   s   t t ddg¡d dkƒ d S )Nr	   rM   )r   r   ç      à¿)r   r   r�   r   r   r   r   Útest_linear_rootå  s    zTestCompanion.test_linear_rootN)r!   r"   r#   rž   rŸ   r¡   r   r   r   r   rœ   Ú  s   rœ   c                   @   s   e Zd Zdd„ ZdS )Ú	TestGaussc                 C   sˆ   t  d¡\}}t  |d¡}t |j| |¡}dt | ¡ ¡ }|d d …d f | | }t|t 	d¡ƒ t dtj
 ¡}t| ¡ |ƒ d S )Nr%   éc   r	   rM   )r   Z
hermegaussrŒ   r-   r�   r‚   ÚsqrtZdiagonalr   ÚeyeÚpiÚsum)r   r   r™   r�   ÚvvZvdr5   r   r   r   Útest_100ë  s    zTestGauss.test_100N)r!   r"   r#   r©   r   r   r   r   r¢   é  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 )ÚTestMiscc              	   C   s¤   t  g ¡}tt|ƒdgƒ tddƒD ]z}t t tj dd| d ¡dd d… ¡}t  |¡}t  	||¡}d}t
t|ƒ|d kƒ tt  |¡d dƒ t||ƒ q$d S )Nr	   r'   r   rM   r
   )r   Úhermefromrootsr   r   r,   r-   ÚcosrF   r¦   r:   r   r<   rz   )r   r6   r2   Úrootsr|   r5   r   r   r   Útest_hermefromrootsþ  s    
*
zTestMisc.test_hermefromrootsc                 C   sl   t t dg¡g ƒ t t ddg¡dgƒ tddƒD ]4}t dd|¡}t t |¡¡}t t|ƒt|ƒƒ q2d S )Nr	   r
   rM   r'   )r   r   Z
hermerootsr,   r-   rF   r«   r   )r   r2   r5   r6   r   r   r   Útest_hermeroots
  s    zTestMisc.test_hermerootsc                 C   sb   g d¢}t ttj|dƒ tt |¡|d d… ƒ tt |d¡|d d… ƒ tt |d¡dgƒ d S )N)rM   r
   r	   r   r
   r	   r   rM   r   )r   r[   r   r   r   )r   rŽ   r   r   r   Útest_hermetrim  s
    zTestMisc.test_hermetrimc                 C   s   t t dd¡ddgƒ d S )Nr   r   )r   r   Z	hermeliner   r   r   r   Útest_hermeline  s    zTestMisc.test_hermelinec                 C   s2   t dƒD ]$}tt dg| dg ¡t| ƒ qd S ©NrR   r   r	   )r,   r   r   rz   rT   ©r   r2   r   r   r   Útest_herme2poly   s    zTestMisc.test_herme2polyc                 C   s2   t dƒD ]$}tt t| ¡dg| dg ƒ qd S r²   )r,   r   r   ry   rT   r³   r   r   r   Útest_poly2herme$  s    zTestMisc.test_poly2hermec                 C   s8   t  ddd¡}t  d|d  ¡}t |¡}t||ƒ d S )Néûÿÿÿr'   é   r    rM   )r-   rF   Úexpr   Zhermeweightr   )r   r   r5   r6   r   r   r   Útest_weight(  s    
zTestMisc.test_weightN)
r!   r"   r#   r®   r¯   r°   r±   r´   rµ   r¹   r   r   r   r   rª   ü  s   rª   )'Ú__doc__Ú	functoolsr   Ú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…   rŠ   r–   rœ   r¢   rª   r   r   r   r   Ú<module>   s6   B^f)0M