o
    hH                  
   @   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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g dd Zeg d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 legendre module.

    )reduceNpolyval)assert_almost_equalassert_raisesassert_equalassert_   )r         )r   r      )r   r   ir   #      )r      r   ir   ?   )r   i   r   ir         )r   ir   ;  r   iKr   i  )	r   r   ir   i  r   ir   i#     )
r   r   r   ir   ibF  r   itr   i{/  c                 C   s   t j| ddS )Ngư>)tol)leglegtrimx r   x/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/numpy/polynomial/tests/test_legendre.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      t tjddg d S )Nr
   r	   )r   r   	legdomainselfr   r   r   test_legdomain!      zTestConstants.test_legdomainc                 C      t tjdg d S )Nr   )r   r   legzeror$   r   r   r   test_legzero$      zTestConstants.test_legzeroc                 C   r(   Nr	   )r   r   legoner$   r   r   r   test_legone'   r+   zTestConstants.test_legonec                 C   r"   )Nr   r	   )r   r   legxr$   r   r   r   	test_legx*   r'   zTestConstants.test_legxN)__name__
__module____qualname__r&   r*   r.   r0   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 ]H}t dD ]A}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   legaddr   r    r%   ijmsgtgtresr   r   r   test_legadd1      $zTestArithmetic.test_legaddc                 C   s   t dD ]H}t dD ]A}d| d| }tt||d }||  d7  < ||  d8  < tdg| dg dg| dg }tt|t||d q
qd S r6   )r;   r<   r=   r>   r   legsubr   r    r@   r   r   r   test_legsub;   rG   zTestArithmetic.test_legsubc                 C   s   t tdgdg t tdgddg tddD ]*}d| d }dg| dg }dg|d  || d|d | g }t t|| qd S )Nr   r	   r   r   )r   r   legmulxr;   )r%   rA   tmpserrD   r   r   r   test_legmulxE   s   $zTestArithmetic.test_legmulxc           
      C   s   t dD ]R}dg| dg }t| j|}t dD ]<}d| d| }dg| dg }t| j|}t||}t| j|}	tt||| d k| t|	|| |d qqd S )Nr   r   r	   r7   r8   r9   )r;   r   legvalr   legmulr   lenr   )
r%   rA   pol1val1rB   rC   pol2val2pol3val3r   r   r   test_legmulN   s   zTestArithmetic.test_legmulc           
      C   s   t dD ]D}t dD ]=}d| d| }dg| dg }dg| dg }t||}t||\}}tt|||}	tt|	t||d q
qd S )Nr   r7   r8   r   r	   r9   )r;   r   r?   legdivrO   r   r    )
r%   rA   rB   rC   cicjrD   quoremrE   r   r   r   test_legdiv\   s   zTestArithmetic.test_legdivc                 C   s|   t dD ]7}t dD ]0}d| d| }t|d }ttj|g| tdg}t||}tt	|t	||d q
qd S )Nr   r7   r8   r	   r9   )
r;   r<   aranger   r   rO   arraylegpowr   r    )r%   rA   rB   rC   crD   rE   r   r   r   test_legpowg   s   zTestArithmetic.test_legpowN)r1   r2   r3   r<   linspacer   rF   rI   rM   rW   r]   rb   r   r   r   r   r4   .   s    

	r4   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)       @re   re   i,j->ij
i,j,k->ijkr   r   r   r	   )      ?re   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
| qAd S )Nr	   r   r
   c                    s   g | ]}t  |qS r   r   .0ra   r   r   r   
<listcomp>       z.TestEvaluation.test_legval.<locals>.<listcomp>
   r7   r9   r   r   )r	   r   r   )r   r   rN   sizer<   rc   Llistr;   r   r=   shape)r%   yrA   rC   rD   rE   dimsr   r   r   test_legval{   s   


zTestEvaluation.test_legvalc           
      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   rr   r   
ValueErrorr   legval2dc2dr   r<   onesr   rq   
r%   x1x2x3y1y2y3rD   rE   zr   r   r   test_legval2d   s   

zTestEvaluation.test_legval2dc           
      C   s   | j \}}}| j\}}}tttj|||d d | j || | }t|||| j}t|| t	d}	t|	|	|	| j}t
|jdk d S ru   )r   rr   r   rw   r   legval3dc3dr   r<   rz   r   rq   r{   r   r   r   test_legval3d   s   

zTestEvaluation.test_legval3dc           
      C   sl   | j \}}}| j\}}}td||}t||| j}t|| td}	t|	|	| j}t	|j
dk d S )Nrf   rv   )r   r   r   r   )r   rr   r<   einsumr   	leggrid2dry   r   rz   r   rq   r{   r   r   r   test_leggrid2d   s   

zTestEvaluation.test_leggrid2dc           
      C   sr   | j \}}}| j\}}}td|||}t|||| j}t|| td}	t|	|	|	| j}t	|j
dk d S )Nrg   rv   )r   r   r   r   r   r   )r   rr   r<   r   r   	leggrid3dr   r   rz   r   rq   r{   r   r   r   test_leggrid3d   s   

zTestEvaluation.test_leggrid3dN)r1   r2   r3   r<   r_   c1dr   ry   r   randomr   r   rr   rt   r   r   r   r   r   r   r   r   rd   q   s    rd   c                   @   $   e Zd Zd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dd	D ]}dg|d  dg }tjdg||d
}t|ddg qCtd	D ]7}|d }dg| dg }|gdg|  d| g }t|}tj|d|gd
}t|}tt	|t	| qdtd	D ]&}|d }dg| dg }t|}tj|d|gdd}tt
d|| qtd	D ]8}|d }dg| dg }|gdg|  d| g }t|}tj|d|gdd}t|}tt	|t	| qtd	D ]9}tdd	D ]0}	dg| dg }|d d  }t|	D ]
}tj|dd}q#tj||	d}tt	|t	| qqtd	D ]@}tdd	D ]7}	dg| dg }|d d  }t|	D ]}tj|d|gd
}qatj||	tt|	d
}tt	|t	| qMqFtd	D ]B}tdd	D ]9}	dg| dg }|d d  }t|	D ]}tj|d|gdd}qtj||	tt|	dd}tt	|t	| qqtd	D ]B}tdd	D ]9}	dg| dg }|d d  }t|	D ]}tj|d|gdd}qtj||	tt|	dd}tt	|t	| qِqd S )Nr         ?r
   r	   )lbnd)sclaxisr   r   )mk)r   r   r   )r   r   r   r   )r   	TypeErrorr   legintrw   r;   r   poly2legleg2polyr    rN   list)
r%   rA   r   rE   r   polrD   legpolr   rB   r   r   r   test_legint   s   




			zTestIntegral.test_legintc                 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      g | ]}t |qS r   r   r   rj   r   r   r   rl   (  rm   z1TestIntegral.test_legint_axis.<locals>.<listcomp>r   r   c                 S   r   r   r   rj   r   r   r   rl   ,  rm   r	   c                 S   s   g | ]	}t j|d dqS )r   )r   r   rj   r   r   r   rl   0  s    r   )r   r   )r<   r   vstackTr   r   r   r%   ry   rD   rE   r   r   r   test_legint_axis$  s   

zTestIntegral.test_legint_axisc                 C   s   t tddd d S )Nr	   r   r   r   )r   r   r   r$   r   r   r   test_legint_zerointord4  s   z#TestIntegral.test_legint_zerointordN)r1   r2   r3   r   r   r   r   r   r   r   r      s    Sr   c                   @   r   )TestDerivativec                 C   s  t ttjdgd t ttjdgd tdD ]}dg| dg }tj|dd}tt|t| qtdD ]'}tddD ]}dg| dg }tjtj||d|d}t	t|t| q<q5tdD ])}tddD ]!}dg| dg }tjtj||dd|dd}t	t|t| qhqad S )	Nr   r   r
   r   r	   r   r   )r   r   )
r   r   r   legderrw   r;   r   r    r   r   )r%   rA   rD   rE   rB   r   r   r   test_legder:  s&   zTestDerivative.test_legderc                 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   r   r   r   r   rj   r   r   r   rl   W  rm   z3TestDerivative.test_legder_axis.<locals>.<listcomp>r   r   c                 S   r   r   r   rj   r   r   r   rl   [  rm   r	   )r<   r   r   r   r   r   r   r   r   r   r   test_legder_axisS  s   
zTestDerivative.test_legder_axisc                 C   s   d}t t|ddg d S )N)r	   r   r   r   r   r   )r   r   r   )r%   ra   r   r   r    test_legder_orderhigherthancoeff_  s   z/TestDerivative.test_legder_orderhigherthancoeffN)r1   r2   r3   r   r   r   r   r   r   r   r   8  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 )
TestVanderrh   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|| qMd S )Nr   r   r   r   r	   .r   r      )r   r   r   )
r<   r^   r   	legvanderr   rq   r;   r   rN   r_   )r%   r   vrA   coefr   r   r   test_legvanderg  s   
zTestVander.test_legvanderc                 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 )Nrv   r	   r   )r	   r   r   )r   r<   r   r   legvander2drx   dotflatr   r   rq   r%   r|   r}   r~   ra   vanrD   rE   r   r   r   test_legvander2dx  s   
zTestVander.test_legvander2dc                 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   legvander3dr   r   r   r   r   rq   r   r   r   r   test_legvander3d  s   
zTestVander.test_legvander3dc                 C   s   t ttjdd d S )Nr   r
   )r   rw   r   r   r$   r   r   r   test_legvander_negdeg  r'   z TestVander.test_legvander_negdegN)
r1   r2   r3   r<   r   r   r   r   r   r   r   r   r   r   r   c  s    r   c                   @      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  r'   z"TestFitting.test_legfit.<locals>.fc                 S   s   | d | d  d S )Nr   r   r	   r   r   r   r   r   f2  r'   z#TestFitting.test_legfit.<locals>.f2r	   r
   r   r   )w)r   r
   r   r   r   )r   r	   r   r   r   )r   r	   r   r   r   )r   r   r   r	   r   )r	   y              ?r
   y             )r   r   r   )r   rw   r   legfitr   r<   rc   r   rP   r   rN   r_   r   
zeros_likecopy)r%   r   r   r   rr   coef3coef4coef2dr   ywwcoef3wcoef2dcoef1coef2r   r   r   test_legfit  sp   


"zTestFitting.test_legfitN)r1   r2   r3   r   r   r   r   r   r         r   c                   @   r   )TestCompanionc                 C   s"   t ttjg  t ttjdg d S r,   )r   rw   r   legcompanionr$   r   r   r   test_raises  s   zTestCompanion.test_raisesc                 C   s<   t ddD ]}dg| dg }tt|j||fk qd S )Nr	   r   r   )r;   r   r   r   rq   )r%   rA   r   r   r   r   test_dimensions  s   zTestCompanion.test_dimensionsc                 C   s   t tddgd dk d S )Nr	   r   )r   r         )r   r   r   r$   r   r   r   test_linear_root  s   zTestCompanion.test_linear_rootN)r1   r2   r3   r   r   r   r   r   r   r   r     s    r   c                   @   r   )	TestGaussc                 C   s|   t d\}}t |d}t|j| |}dt|  }|d d d f | | }t|t	d d}t|
 | d S )Nr5   c   r	   re   )r   leggaussr   r<   r   r   sqrtdiagonalr   eyesum)r%   r   r   r   vvvdrD   r   r   r   test_100  s   zTestGauss.test_100N)r1   r2   r3   r   r   r   r   r   r     r   r   c                   @   sL   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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}t
t||d k tt |d d t|| qd S )Nr	   r   r   r   r
   )r   legfromrootsr   r    r;   r<   cosrc   pirN   r   rP   r   )r%   rE   rA   rootsr   rD   r   r   r   test_legfromroots  s   
*
zTestMisc.test_legfromrootsc                 C   sl   t tdgg  t tddgdg tddD ]}tdd|}tt|}t t|t| qd S )Nr	   r   r   r   r
   )r   r   legrootsr;   r<   rc   r   r    )r%   rA   rD   rE   r   r   r   test_legroots  s   zTestMisc.test_legrootsc                 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   rw   r   r   r   )r%   r   r   r   r   test_legtrim  s
   zTestMisc.test_legtrimc                 C   s   t tddddg d S )Nr   r   r   r   legliner$   r   r   r   test_legline&  s   zTestMisc.test_leglinec                 C   s   t tdddg d S )Nr   r   r   r$   r   r   r   test_legline_zeroscl)  s   zTestMisc.test_legline_zerosclc                 C   s2   t dD ]}ttdg| dg t|  qd S Nrn   r   r	   )r;   r   r   r   rp   r%   rA   r   r   r   test_leg2poly,     "zTestMisc.test_leg2polyc                 C   s2   t dD ]}ttt| dg| dg  qd S r   )r;   r   r   r   rp   r   r   r   r   test_poly2leg0  r   zTestMisc.test_poly2legc                 C   s*   t ddd}d}t|}t|| d S )Nr
   r	      ri   )r<   rc   r   	legweightr   )r%   r   rD   rE   r   r   r   test_weight4  s   
zTestMisc.test_weightN)r1   r2   r3   r   r   r   r   r   r   r   r   r   r   r   r   r     s    r   )'__doc__	functoolsr   numpyr<   numpy.polynomial.legendre
polynomiallegendrer   numpy.polynomial.polynomialr   numpy.testingr   r   r   r   r_   L0L1L2L3L4L5L6L7L8L9rp   r    r!   r4   rd   r   r   r   r   r   r   r   r   r   r   r   <module>   s8    C^i+3M