a
    Lf*P                  
   @   sh  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 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#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 chebyshev module.

    )reduceNpolyval)assert_almost_equalassert_raisesassert_equalassert_c                 C   s   t j| ddS )Ngư>)Ztol)chebchebtrimx r   ^/var/www/ai-form-bot/venv/lib/python3.9/site-packages/numpy/polynomial/tests/test_chebyshev.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S )TestPrivatec                 C   sd   t dD ]V}tdgdg|  tj}tdg| dg dg|  tj}t|}t|| qd S )Nr   r   r         ?)rangenparraydoubler	   Z_cseries_to_zseriesr   selfiinptgtresr   r   r   test__cseries_to_zseries!   s
    $
z$TestPrivate.test__cseries_to_zseriesc                 C   sd   t dD ]V}tdg| dg dg|  tj}tdgdg|  tj}t|}t|| qd S )Nr   r!   r   r   )r"   r#   r$   r%   r	   Z_zseries_to_cseriesr   r&   r   r   r   test__zseries_to_cseries(   s
    $
z$TestPrivate.test__zseries_to_cseriesN)__name__
__module____qualname__r,   r-   r   r   r   r   r       s   r    c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestConstantsc                 C   s   t tjddg d S )Nr   r   )r   r	   Z
chebdomainr'   r   r   r   test_chebdomain2   s    zTestConstants.test_chebdomainc                 C   s   t tjdg d S )Nr   )r   r	   Zchebzeror2   r   r   r   test_chebzero5   s    zTestConstants.test_chebzeroc                 C   s   t tjdg d S Nr   )r   r	   Zcheboner2   r   r   r   test_chebone8   s    zTestConstants.test_chebonec                 C   s   t tjddg d S )Nr   r   )r   r	   Zchebxr2   r   r   r   
test_chebx;   s    zTestConstants.test_chebxN)r.   r/   r0   r3   r4   r6   r7   r   r   r   r   r1   0   s   r1   c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestArithmeticc                 C   s   t dD ]}t dD ]}d| d| }tt||d }||  d7  < ||  d7  < tdg| dg dg| dg }tt|t||d qqd S Nr   At i=, j=r   r   err_msg)r"   r#   zerosmaxr	   chebaddr   r   r'   r(   jmsgr*   r+   r   r   r   test_chebaddA   s    $zTestArithmetic.test_chebaddc                 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 r9   )r"   r#   r>   r?   r	   Zchebsubr   r   rA   r   r   r   test_chebsubK   s    $zTestArithmetic.test_chebsubc                 C   st   t tdgdg t tdgddg tddD ]:}dg| dg }dg|d  g d }t t|| q4d S )Nr   r   r   )r!   r   r!   )r   r	   Zchebmulxr"   )r'   r(   Zserr*   r   r   r   test_chebmulxU   s    zTestArithmetic.test_chebmulxc                 C   s   t dD ]}t dD ]}d| d| }t|| d }|||   d7  < |t||   d7  < tdg| dg dg| dg }tt|t||d qqd S )Nr   r:   r;   r   r!   r   r<   )r"   r#   r>   absr	   chebmulr   r   rA   r   r   r   test_chebmul]   s    $zTestArithmetic.test_chebmulc           
      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	   r@   ZchebdivrH   r   r   )
r'   r(   rB   rC   cicjr*   Zquoremr+   r   r   r   test_chebdivg   s    zTestArithmetic.test_chebdivc                 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	   rH   r$   Zchebpowr   r   )r'   r(   rB   rC   cr*   r+   r   r   r   test_chebpowr   s    zTestArithmetic.test_chebpowN)	r.   r/   r0   rD   rE   rF   rI   rM   rP   r   r   r   r   r8   ?   s   


r8   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   )      ?rR   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   .0rO   r   r   r   
<listcomp>       z/TestEvaluation.test_chebval.<locals>.<listcomp>
   r:   r<   rW   r   )r   r   r   )r   r	   chebvalsizer#   linspaceTlistr"   r   r>   shape)r'   yr(   rC   r*   r+   dimsr   r   r   test_chebval   s    


zTestEvaluation.test_chebvalc           
      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   rW   )r   rc   r   
ValueErrorr	   	chebval2dc2dr   r#   onesr   rb   
r'   x1x2x3y1y2Zy3r*   r+   zr   r   r   test_chebval2d   s    

zTestEvaluation.test_chebval2dc           
      C   s   | j \}}}| j\}}}tttj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S rf   )r   rc   r   rh   r	   	chebval3dc3dr   r#   rk   r   rb   rl   r   r   r   test_chebval3d   s    

zTestEvaluation.test_chebval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )NrT   rg   )r   rW   r   rW   )r   rc   r#   einsumr	   Z
chebgrid2drj   r   rk   r   rb   rl   r   r   r   test_chebgrid2d   s    

zTestEvaluation.test_chebgrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )NrU   rg   )r   rW   r   rW   r   rW   )r   rc   r#   rw   r	   Z
chebgrid3dru   r   rk   r   rb   rl   r   r   r   test_chebgrid3d   s    

zTestEvaluation.test_chebgrid3dN)r.   r/   r0   r#   r$   Zc1drw   rj   ru   randomr   r   rc   re   rs   rv   rx   ry   r   r   r   r   rQ   |   s   rQ   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   r   )lbnd)sclaxisr   r   )mk)r   r   r|   )r   r   r}   r   )r   	TypeErrorr	   chebintrh   r"   r   	poly2cheb	cheb2polyr   r^   list)
r'   r(   r   r+   r}   Zpolr*   Zchebpolr   rB   r   r   r   test_chebint   s    




zTestIntegral.test_chebintc                 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rW   r   c                 S   s   g | ]}t |qS r   r	   r   rY   r   r   r   r[   3  r\   z2TestIntegral.test_chebint_axis.<locals>.<listcomp>r   r~   c                 S   s   g | ]}t |qS r   r   rY   r   r   r   r[   7  r\   r   c                 S   s   g | ]}t j|d dqS )rW   )r   r   rY   r   r   r   r[   ;  r\   rW   )r   r   )r#   rz   vstackTr	   r   r   r'   rj   r*   r+   r   r   r   test_chebint_axis/  s    

zTestIntegral.test_chebint_axisN)r.   r/   r0   r   r   r   r   r   r   r{      s   Sr{   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	   chebderrh   r"   r   r   r   r   )r'   r(   r*   r+   rB   r   r   r   test_chebderB  s     zTestDerivative.test_chebderc                 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   rY   r   r   r   r[   _  r\   z4TestDerivative.test_chebder_axis.<locals>.<listcomp>r   r~   c                 S   s   g | ]}t |qS r   r   rY   r   r   r   r[   c  r\   r   )r#   rz   r   r   r	   r   r   r   r   r   r   test_chebder_axis[  s    
z TestDerivative.test_chebder_axisN)r.   r/   r0   r   r   r   r   r   r   r   @  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 )
TestVanderrV   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 )NrW   r   r   r   r   .r   r      )rW   r   r   )
r#   rN   r	   
chebvanderr   rb   r"   r   r^   r$   )r'   r   vr(   coefr   r   r   test_chebvanderl  s    
zTestVander.test_chebvanderc                 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 )Nrg   r   r   )r   r   r   )r   r#   rz   r	   Zchebvander2dri   dotflatr   r   rb   r'   rm   rn   ro   rO   Zvanr*   r+   r   r   r   test_chebvander2d}  s    
zTestVander.test_chebvander2dc                 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   rW   r   )r   r   rW   )r   r      )r   r#   rz   r	   Zchebvander3drt   r   r   r   r   rb   r   r   r   r   test_chebvander3d  s    
zTestVander.test_chebvander3dN)	r.   r/   r0   r#   rz   r   r   r   r   r   r   r   r   r   h  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   r   r   r   r   r   r   f  s    z#TestFitting.test_chebfit.<locals>.fc                 S   s   | d | d  d S )Nr   r   r   r   r   r   r   r   f2  s    z$TestFitting.test_chebfit.<locals>.f2r   r   r   r   )w)r   r   r   rW   r   )r   r   r   rW   r   )r   r   r   rW   r   )r   rW   r   r   r   )r   y              ?r   y             )r   r   r   )r   rh   r	   Zchebfitr   r#   r`   r   lenr   r^   r$   r   Z
zeros_likecopy)r'   r   r   r   rc   Zcoef3Zcoef4Zcoef2dr   ZywZwcoef3Zwcoef2dZcoef1Zcoef2r   r   r   test_chebfit  sp    


"zTestFitting.test_chebfitN)r.   r/   r0   r   r   r   r   r   r     s   r   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestInterpolatec                 C   s   ||d  |d  S r   r   )r'   r   r   r   r   r     s    zTestInterpolate.fc                 C   s(   t ttj| jd t ttj| jd d S )Nr   g      $@)r   rh   r	   chebinterpolater   r   r2   r   r   r   test_raises  s    zTestInterpolate.test_raisesc                 C   s2   t ddD ]"}tt| j|j|d fk q
d S )Nr   r   )r"   r   r	   r   r   rb   )r'   degr   r   r   test_dimensions  s    zTestInterpolate.test_dimensionsc                 C   sj   dd }t ddd}tddD ]D}td|d D ]0}t|||f}tt|||||dd q2q d S )	Nc                 S   s   | | S )Nr   )r   pr   r   r   powx  s    z0TestInterpolate.test_approximation.<locals>.powxr   r   r]   r      )decimal)r#   r`   r"   r	   r   r   r^   )r'   r   r   r   r   rO   r   r   r   test_approximation  s    z"TestInterpolate.test_approximationN)r.   r/   r0   r   r   r   r   r   r   r   r   r     s   r   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestCompanionc                 C   s"   t ttjg  t ttjdg d S r5   )r   rh   r	   chebcompanionr2   r   r   r   r      s    zTestCompanion.test_raisesc                 C   s<   t ddD ],}dg| dg }tt|j||fk q
d S )Nr   r   r   )r"   r   r	   r   rb   )r'   r(   r   r   r   r   r     s    zTestCompanion.test_dimensionsc                 C   s   t tddgd dk d S )Nr   r   )r   r         )r   r	   r   r2   r   r   r   test_linear_root	  s    zTestCompanion.test_linear_rootN)r.   r/   r0   r   r   r   r   r   r   r   r     s   r   c                   @   s   e Zd Zdd ZdS )	TestGaussc                 C   s~   t d\}}t |d}t|j| |}dt|  }|d d d f | | }t|t	d tj
}t| | d S )Nd   c   r   )r	   Z	chebgaussr   r#   r   r   sqrtZdiagonalr   eyepisum)r'   r   r   r   ZvvZvdr*   r   r   r   test_100  s    zTestGauss.test_100N)r.   r/   r0   r   r   r   r   r   r     s   r   c                   @   sT   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd ZdS )TestMiscc              	   C   s   t g }tt|dg tddD ]f}tttj dd| d dd d }dg| dg }t |d|d   }tt|t| q$d S )Nr   r   r   r   )	r	   chebfromrootsr   r   r"   r#   cosr`   r   )r'   r+   r(   rootsr*   r   r   r   test_chebfromroots"  s    
*zTestMisc.test_chebfromrootsc                 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	chebrootsr"   r#   r`   r   r   )r'   r(   r*   r+   r   r   r   test_chebroots+  s    zTestMisc.test_chebrootsc                 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_chebtrim3  s
    zTestMisc.test_chebtrimc                 C   s   t tddddg d S )NrW   r   )r   r	   Zchebliner2   r   r   r   test_chebline>  s    zTestMisc.test_cheblinec                 C   s2   t dD ]$}ttdg| dg t|  qd S Nr]   r   r   )r"   r   r	   r   ra   r'   r(   r   r   r   test_cheb2polyA  s    zTestMisc.test_cheb2polyc                 C   s2   t dD ]$}ttt| dg| dg  qd S r   )r"   r   r	   r   ra   r   r   r   r   test_poly2chebE  s    zTestMisc.test_poly2chebc                 C   sN   t ddddd }dt d| t d|   }t|}t|| d S )Nr   r      rX   )r#   r`   r   r	   Z
chebweightr   )r'   r   r*   r+   r   r   r   test_weightI  s     
zTestMisc.test_weightc                 C   s~   t ttjd t ttjd dg}ttd| ddg}ttd| g d}ttd| g d	}ttd
| d S )NrS   r   r   g;fg;f?r   )gLXzr   gLXz?rW   )g( 1kgŜ}ؿgŜ}?g( 1k?r   )r   rh   r	   Zchebpts1r   r'   r*   r   r   r   test_chebpts1O  s    zTestMisc.test_chebpts1c                 C   s   t ttjd t ttjd ddg}ttd| g d}ttd| g d}ttd| g d	}ttd
| d S )NrS   r   r   r   )r   r   r   rW   )r   r   r!   r   r   )g      gKfr   gKf?rX   r   )r   rh   r	   Zchebpts2r   r   r   r   r   test_chebpts2^  s    zTestMisc.test_chebpts2N)r.   r/   r0   r   r   r   r   r   r   r   r   r   r   r   r   r   r      s   	r   )(__doc__	functoolsr   numpyr#   Znumpy.polynomial.chebyshevZ
polynomialZ	chebyshevr	   Znumpy.polynomial.polynomialr   Znumpy.testingr   r   r   r   r   ZT0ZT1ZT2ZT3ZT4ZT5ZT6ZT7ZT8ZT9ra   r    r1   r8   rQ   r{   r   r   r   r   r   r   r   r   r   r   r   <module>   s:   =^f(0M