o
    iv                    @   s  d dl mZmZmZmZmZmZmZ d dlm	Z
 d dlZd dlmZmZmZmZmZmZ d dlZd dlmZmZmZmZmZmZmZmZmZmZmZmZm Z  d dl!m"Z"m#Z# d dlm$Z$ d dl%m&Z&m'Z' d d	l(m)Z) d d
l!m*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Z0G dd dZ1G dd dZ2G dd dZ3G dd dZ4G dd  d Z5G d!d" d"Z6d#d$ Z7ej8fd%d&Z9d'd( Z:d/d)d*Z;d/d+d,Z<d/d-d.Z=dS )0    )assert_assert_equalassert_almost_equalassert_array_almost_equalassert_array_equalassert_allclosesuppress_warnings)raisesN)mgridpisinogridpoly1dlinspace)interp1dinterp2dlagrangePPolyBPolysplrepsplev
splantidersplintsprootAkima1DInterpolatorNdPPolyBSpline)pochgamma)_ppoly)assert_deallocatedIS_PYPY)nquad)binomc                   @   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 )TestInterp2Dc                 C   s   t ddddtdf \}}t|d|  }t B}|t t|||}t|ddtddd tddd	dtd
f \}}t||	 |	 t|d|  dd W d    d S 1 s^w   Y  d S )Nr                    4@              5@      ?      ?       @decimaly              8@y              9@)
r
   r   r   r   filterDeprecationWarningr   r   r   ravel)selfyxzsupIIvu r8   w/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/interpolate/tests/test_interpolate.pytest_interp2d   s   
"zTestInterp2D.test_interp2dc                 C   s   t ddd}t dtd}t|d d d f |d d d f d  }t  }|t t|||}t|ddtddd W d    d S 1 sFw   Y  d S )Nr   r%         r*   r)   r+   )r   r   r   r   r-   r.   r   r   )r0   r2   r1   r3   r4   r5   r8   r8   r9   test_interp2d_meshgrid_input&   s   (
"z)TestInterp2D.test_interp2d_meshgrid_inputc                 C   sz  t jd tddd}tdtd}t|d d d f |d d d f d  }t }|t t	|
 |
 |dd}t j| t|d d d f |d d d f d  }t	|
 |
 |dd}t j| t j| t|d d d f |d d d f d  }t	|||dd}tddd	}tdtd
}t|||||| t|||||| W d    d S 1 sw   Y  d S )N  r   r%   r;   r<   r*   cubickind      )nprandomseedr   r   r   r   r-   r.   r   copyshuffler   )r0   r2   r1   r3   r4   Zip1Zip2Zip3r8   r8   r9   %test_interp2d_meshgrid_input_unsorted0   s&   (
(("z2TestInterp2D.test_interp2d_meshgrid_input_unsortedc              	   C   s   t ddddtdf \}}t|d|  }t A}|t t|||}tg d}tddg}t	||||||d d d	  t
t|||d d d	 ddd
 W d    d S 1 s]w   Y  d S )Nr   r%   r&   r'   r(   )         g333333@gffffff@T)r
   r   r   r   r-   r.   r   rD   arrayr   assert_raises
ValueError)r0   r1   r2   r3   r4   funcZxeZyer8   r8   r9   test_interp2d_eval_unsortedI   s   
  "z(TestInterp2D.test_interp2d_eval_unsortedc                 C   s   t ddg}d|d< t d }}t 1}|t t|||d}t|ddt dgdd	 t|dd
t dgdd	 W d    d S 1 sIw   Y  d S )NrL   r)   )r%   r%   linearr*         ?r(   r%   r+         @)	rD   zerosaranger   r-   r.   r   r   rN   )r0   ar2   r1   r4   br8   r8   r9   test_interp2d_linearV   s   
"z!TestInterp2D.test_interp2d_linearc                 C   sV  t ddd}t ddd}|d d d f d |d d d f  }t ddd}t ddd	}t p}|t t|||d
d}tt||| t|||t jd}|||}|dk |dkB }	|dk |dkB }
t	t 
||
d d f   t	t 
|d d |	f   t	t ||
 d d f d d |	 f   W d    d S 1 sw   Y  d S )Nr      rL   r%      rM   rJ   rB   !   Tbounds_error
fill_value)rD   r   r   r-   r.   r   rO   rP   nanr   isnanallisfinite)r0   r2   r1   r3   ZixZiyr4   rY   Zizmxmyr8   r8   r9   test_interp2d_boundsa   s"   $

0"z!TestInterp2D.test_interp2d_boundsN)	__name__
__module____qualname__r:   r=   rI   rR   rZ   rh   r8   r8   r8   r9   r$      s    
r$   c                   @   sB  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d Zdd Zdd Zdd Zdd Zdd ZdId d!ZdId"d#Zd$d% Zd&d' Zd(d) Zd*d+ ZdId,d-ZdId.d/Zd0d1 Zejdfd2d3Zd4d5 Zej j!e"d6d7d8d9 Z#d:d; Z$d<d= Z%d>d? Z&d@dA Z'dBdC Z(ej )dDdEdFdG Z*dHS )JTestInterp1Dc                 C   sH  t d| _t d| _t d| _| jd| _t d| _t d| _t 	dg| _
t 	dg| _t dd| _t dd| _t dd	| _t dd| _t d
d| _t d
d| _t dd| _d| jd d df< d| jd d df< t dd| _d| jdd d f< d| jdd d f< d| _d S )N      @      $@)r%   rL   r*           g      4@r%   
   )rq   r%   )r%   r%   rL   g      >@)r%   rJ   rL   )rJ   r%   rL   rC   r   rM   g      Y)rD   rW   x5x10y10reshapex25x2y2rN   x1y1y210y102y225y25y235y325y210_edge_updatedy102_edge_updatedra   r0   r8   r8   r9   setup_methodz   s*   
zTestInterp1D.setup_methodc              
   C   s  dD ]}t | j| j|d t | j| j|dd qt | j| jddd t | j| jdtdgd t | j| jddd t | j| jddd t | j| jdd	d t | j| jd
d t | j| jdd t | j| jdd t | j| jdd t | j| jddd	d t | j| jdd
tdd t | j| jdd
tdtdfd t | j| jdd
tddfd tt	t | j
| j tt	t | jtd
 tt	t | j| j tt	t | j| j tt	t | j| j t | j| j t | j| jd
d tt	t | j| j tt	t | j| j tt	t | j| jddd tt	t | j| jdg dd tt	t | j| jdtdd tt	t | j| jddggd tt	t | j| jdddgd tt	t | j| jdtg d tt	t | j| jddd tt	t | j| jdd
ddgd tt	t | j| jdd
dddgfd d S )N)	nearest
nearest-upzerorS   slinear	quadraticr?   previousnextr@   extrapolaterA   ra   rS   )rM   r[   rM   )rM   )rM   rM   r   r[   r%   rJ   rA   axisra   rq   r   )rM   rM   rM   r8   ro   )r   rt   ru   rD   rN   r|   rx   onesrO   rP   rw   ry   r}   rz   r{   r0   rA   r8   r8   r9   test_validation   s   

zTestInterp1D.test_validationc                 C   s<  t t| j| jj t t| j| jddj  t t| j| jj t t| j| jddj  t tt| j| jj t	t| j| jddjd t	t| j| jddjd t	t| j| jj
d t	t| j| jj
d t	t| j| jdd	j
d tt| j| jj| j tt| j| jj| j tt| j| jj| j d S )
NF)rG   r^         @r`   )r)   r*   r   r[   r   )r   r   rt   ru   rG   r_   rD   rc   ra   r   r   r|   r}   r   r2   r1   r   r8   r8   r9   	test_init   s"   zTestInterp1D.test_initc                 C   s0  t | j| j}t | jd d d | jd d d }t|| j| j t|dtdg t|g d|g d t | jd d d | jd d d dd}t|| j| j t | jd d d | jd d d dd}tt|| j t | j| j}t | jd d d | jd d d d df }t|| j|| j d S )NrM   333333?g333333@gffffff@      @F)assume_sortedT)	r   rt   ru   r   rD   rN   rO   rP   r|   )r0   interp10Zinterp10_unsortedZinterp10_assume_kwZinterp10_assume_kw2Zinterp10_y_2dZinterp10_y_2d_unsortedr8   r8   r9   test_assume_sorted   s(   "
*
zTestInterp1D.test_assume_sortedc                 C      dD ]}|  | qd S )N)rS   r   )_check_linearr   r8   r8   r9   test_linear  s   zTestInterp1D.test_linearc                 C   s   t | j| j|d}t|| j| j t|dtdg t|g dtg d t | j| j|dd}t|g dg ddd	 t|dd
d}tt	t | j| jfi | d S )Nr@   r   r   r   r         r   	      )rM   r   r   r   +=rtolTrA   ra   r_   
r   rt   ru   r   rD   rN   r   dictrO   rP   )r0   rA   r   extrapolatoroptsr8   r8   r9   r     s"   zTestInterp1D._check_linearc                 C   s   t jd D ]!}t jd|d}|}t||dd|}t|j| t||dd qg d}t jd	d
g}t|||}t||dd d S )Nfloat   dtyperS   r@   V瞯<atolr   r[   r%   r   r[   )rD   ZsctypesrW   r   r   r   r   rb   )r0   Zdtypr2   r1   Zypr8   r8   r9   test_linear_dtypes+  s   zTestInterp1D.test_linear_dtypesc                 C   s   t jt jt jg}|t jt jg }g d}|D ]C}t jdd|d}|D ]6}t | d |}|D ]&}||}	|D ]}
t	|||
dd}t
||	|d| d	| d
| d q:q1q"qd S )N)r   r   r   r?   r   rq   r   r   FrA   r_   Hz>z,  r   err_msg)rD   Zfloat16Zfloat32Zfloat64	complex64
complex128rW   expastyper   r   )r0   Zdt_rZdt_rcZspline_kindsZdtxr2   Zdtyr1   ZdtnxnewrA   fr8   r8   r9   test_slinear_dtypes=  s$   
z TestInterp1D.test_slinear_dtypesc                 C   sp   t | j| jdd}t|| j| j t|dtdg t|dtdg t|g dtg d d S )Nr?   r@   r   rT   r   r   rt   ru   r   rD   rN   r0   r   r8   r8   r9   
test_cubicN  s   zTestInterp1D.test_cubicc                 C   s   t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d t | j| jddd	}t|g d
g ddd tdddd}tt	t | j| jfi | d S )Nr   r@   r   r)   rT   r   r*   r   r   r   r   r   r   r   r   r   r   r   Tr   r   r0   r   r   r   r8   r8   r9   test_nearestW  $   zTestInterp1D.test_nearestc                 C   s   t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d t | j| jdd	d
}t|g dg ddd tdd	dd}tt	t | j| jfi | d S )Nr   r@   r   r)   rT   r*   r   r   r   r   r   r   r   r   Tr   r   r   r8   r8   r9   test_nearest_upl  r   zTestInterp1D.test_nearest_upc              	   C   s  t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d t | j| jddd	}t|g d
tjdddgdd t | j| jddd	}t|g dtjtjddddg t | j| jddd	}t|g dtjtjddddgtjtjddddgg t | j| j	dddd}t|g dtjtjgddgddgg t
dddd}ttt | j| jfi | t g dg ddddd}t|g dtjtjddd d d g t g d!g d"ddd#d}t|g dtjtjddd d d g t | j| jddd	}t|g dtjtjddd$d$gtjtjddd$d$gg t | j| jdddd}t|g dtjtjgddgd$d$gg d S )%Nr   r@   r   r)   rT   r   r*   rm   r   r   r   r   r   r   r   r   rM   rL   r         rL   r            r   r   rL   r   rq   r   Tr   r   r   r[   rM   rA   ra   r   r   rM   r   r[   r%   rJ   rL   r[   rM   r%   r   r[   rM   r   r[   Frr   r   rt   ru   r   rD   rN   r   rb   r|   r}   r   rO   rP   r   r   r0   r   r   Zinterpolator1DZinterpolator2DZinterpolator2DAxis0r   r8   r8   r9   test_previous  s   



zTestInterp1D.test_previousc              	   C   s  t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d t | j| jddd	}t|g d
dddtjgdd t | j| jddd	}t|g dddddtjtjg t | j| jddd	}t|g dddddtjtjgddddtjtjgg t | j| j	dddd}t|g dddgddgtjtjgg t
dddd}ttt | j| jfi | t g dg ddddd}t|g ddddddtjtjg t g d g d!ddd"d}t|g ddddddtjtjg t | j| jddd	}t|g dd#d#ddtjtjgd#d#ddtjtjgg t | j| jdddd}t|g dd#d#gddgtjtjgg d S )$Nr   r@   r   r*   rT   r   )r   r   r   r   r   r   r   r   r   r   r   rL   r   rq   r   r   r   r   r[   r   Tr   r   r   r   r   rM   r   r   FrC   r   r   r8   r8   r9   	test_next  s   



zTestInterp1D.test_nextc                 C   sl   t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d d S )Nr   r@   r   r)   rT   r   r   r   r   r8   r8   r9   	test_zero  s   zTestInterp1D.test_zeroc              
   C   sT   t t|| z|| W d S  ty) } z| t|v sJ W Y d }~d S d }~ww N)rO   rP   str)r0   ZinterpolantZ
test_arrayZ
fail_valueerrr8   r8   r9   bounds_check_helper  s    z TestInterp1D.bounds_check_helperrS   c                 C   s   t | j| j| jd|d}t|dt| j t|dt| j t|dgdgdgdgggt| j t|tg dtg dg d	g t | j| jd
|d}| |dd | |dd | |g dd | |g dd |g d d S )NF)ra   r_   rA   gffffff&@g333333g333333)@gL3@)r   ro   rm         "@      &@)TFFFF)FFFFTT)r_   rA   r   r   )ro   r   ro   )ro   r)         5@r   )ro   rm   r   )	r   rt   ru   ra   r   rD   rN   Z_check_boundsr   )r0   rA   Zextrap10Zraises_bounds_errorr8   r8   r9   _bounds_check  s.   

zTestInterp1D._bounds_checkc                 C   sx   t dt j}t dt j}t|||t jdd}||d }tt |d  t|t j	t j|d d f  d S )Nrq   Fr   r[   r   rM   )
rD   rW   r   int_r   rb   r   rc   r   r_)r0   rA   r2   r1   cyir8   r8   r9   _bounds_check_int_nan_fill5  s   "z'TestInterp1D._bounds_check_int_nan_fillc                 C   "   dD ]}|  | | | qd S )N)rS   r?   r   r   r   r   r   r   )r   r   r   r8   r8   r9   test_bounds=     
zTestInterp1D.test_boundsc                 C   s  t | j| j|ddd}t|dd t|dd t|ddgddg | j| j| j| jfD ]f}t | j||dddd	}t|dd t|dd t|ddgd t | j||dddd	}t|dd t|dd |j	d
krddgg|j
d  g|j
d  }n
ddgg|j
d  }t|ddg| q.g d}| j| jfD ]}ttt | j||d|dd	 qt | j| j|d|dd	}t|dg dgd  t|dg dgd  t|ddgddgddgddgggd  ddg}ttt | j| j|d|dd	 | j| j| jfD ]M}t | j||d|dd	}ddg}|j	d
kr!|g|j
d  }t|d| t|d| ddgddgg}|j	d
krE|g|j
d  }t|ddg| qtg ddf}| j| jfD ]}ttt | j||d|dd	 q_t | j| j|d|dd	}t|dd t|dg dgd  t|ddgddgddgddgggd  tddgdf}ttt | j| j|d|dd	 | j| j| jfD ]M}t | j||d|dd	}t|dd ddg}|j	d
kr|g|j
d  }t|d| ddgddgg}|j	d
kr|g|j
d  }t|ddg| qg dg df}| j| jfD ]}ttt | j||d|dd	 qtdD ]J}|dkrDtdd |D }t | j| j|d|dd	}t|dg dgd  t|dg dgd  t|ddgddgddgddgggd  q4ddgddgf}ttt | j| j|d|dd	 | j| j| jfD ]_}t | j||d|dd	}ddg}|j	d
kr|g|j
d  }t|d| ddg}|j	d
kr|g|j
d  }t|d| ddgddgg}|j	d
kr|g|j
d  }t|ddg| qddgddgg}| j| j| jfD ]}ttt | j||d|dd	 qtdD ]J}|dkr.t|}t | j| j|d|dd	}t|dddgddgg t|dddgddgg t|ddgddgddggddgddggg q"ddgddggddgddggf}| j| j| jfD ]}ttt | j||d|dd	 qtdD ]S}|dkrt|d t|d f}t | j| j|d|dd	}t|dddgddgg t|dddgddgg t|ddgddgddggddgddggg qd S )N)d   Fr   rq   r   r   rM   )rA   r   ra   r_   rJ   r[   r   )r      ,  r%   r   r   )r   8r   r   c                 s   s    | ]}t |V  qd S r   )rD   rN   ).0r   r8   r8   r9   	<genexpr>  s    z1TestInterp1D._check_fill_value.<locals>.<genexpr>i  i  ii0)r   rt   ru   r   r   r   r~   r   rs   ndimshaperO   rP   rD   rN   rangetuple)r0   rA   interpr1   resultra   iir8   r8   r9   _check_fill_valueC  sX  
"










zTestInterp1D._check_fill_valuec                 C   r   N)rS   r   r?   r   r   r   r   r   )r   r   r8   r8   r9   test_fill_value  s   zTestInterp1D.test_fill_valuec                 C   s4   t | j| jdd}t|jd d|_t|jd d S )Ng     ^@r`   g     t@)r   rt   ru   r   ra   )r0   r   r8   r8   r9   test_fill_value_writeable  s   z&TestInterp1D.test_fill_value_writeablec                 C   s  t | j| j|d}t|tddgddggtddgddgg tt|dtj t	|dj
d t | j| j|d}t|dtdd	g t|tddgtddgd	d
gg t | j| jd|d}t|dtddg t|tddgtddgddgg tddgddgg}t||tddgddggddgd
dggg t||tddgdd	ggddgddggg d S )Nr@   r   rm   r*         @r   r8   r)   r         (@r   r   rA   r   g      *@g      .@g      1@rn         @g      ,@)r   rt   ru   r   rD   rN   r   
isinstanceZndarrayr   r   r|   r}   )r0   rA   r   Z	interp210Z	interp102Zx_newr8   r8   r9   _nd_check_interp  s6   zTestInterp1D._nd_check_interpc           
      C   s   g d}t t |j| }t|D ]<\}}t |}t||||d}t||||d t ddd }t|}	g d|	||d < t||j|	|d qd S )N)rK   rL      r\   r  r   r  )r%   rJ   r[   r  r[   )	rD   rW   prodrv   	enumerater   r   listr   )
r0   rA   rX   r1   nsr2   r3   rx   rY   r8   r8   r9   _nd_check_shape  s   
zTestInterp1D._nd_check_shapec                 C   r   )N)rS   r?   r   r   r   r   r   r   )r  r  r   r8   r8   r9   test_nd  r   zTestInterp1D.test_ndc           	      C   s   t g d}||d  }||}t|||d}t|d d ||d d  t ddd}t||j|d}t||j|d}t||j|| t||j|| d S )N)
r[   rU   rJ   g@rK   g@g@g       @g      #@rq         ?       @r@   rM   r[   rq   rB   )rD   rN   r   r   r   r   realimag)	r0   r   rA   r2   r1   r   xicrcir8   r8   r9   _check_complex%  s   
zTestInterp1D._check_complexc                 C   s*   dD ]}|  tj| |  tj| qd S r   )r  rD   r   r   r   r8   r8   r9   test_complex5  s   zTestInterp1D.test_complexzTest not meaningful on PyPy)reasonc                 C   sX   t dd}t dd}tt||}|ddg ~W d    d S 1 s%w   Y  d S )Nr   r[   皙?皙?)rD   r   r    r   )r0   r2   r1   r   r8   r8   r9   test_circular_refs;  s   "zTestInterp1D.test_circular_refsc                 C   s>   dD ]}t jg dt jd}t|||d}t||| qd S )N)r   r   r   )r   2      r   r@   )rD   rN   Zint8r   r   )r0   rA   r2   r   r8   r8   r9   test_overflow_nearestE  s
   z"TestInterp1D.test_overflow_nearestc                 C   s\   t dt}| }t j|d< dD ]}t|||d}|ddg}tt |	  qd S )Nrq   r  )r   r   r@   g@r  )
rD   rW   r   r   rG   rb   r   r   re   rd   )r0   r2   r1   rA   irvalsr8   r8   r9   test_local_nansL  s   
zTestInterp1D.test_local_nansc           
      C   s   t dt}| }| }t j|d< dD ]>}t|||d}t|||d}dddgddgddggfD ] }t |}||||}}	tt 	|	
  t|j|	j q4qd S )Nr   rJ   )r   r?   r@   r  r[   rL   )rD   rW   r   r   rG   rb   r   asarrayr   rc   rd   r   r   )
r0   r2   r1   ZynrA   r  Zirnr   outZoutnr8   r8   r9   test_spline_nansW  s   

zTestInterp1D.test_spline_nansc                 C   sV   t dt j }t d}tt t||dd W d    d S 1 s$w   Y  d S )Nrq   r?   r@   )rD   r   rb   rW   rO   rP   r   )r0   r2   r1   r8   r8   r9   test_all_nansi  s
   

"zTestInterp1D.test_all_nansc                 C   sz   t dd}t | d }t ddd}dD ]#}||j_d|j_dD ]}t|||d	}||}tt |  q#qd S )
Nr   rq   r   r   r  TFF)rS   r   r   r   r   r?   r@   )	rD   rW   r   flags	writeabler   r   re   rd   )r0   r2   r1   r   Zxnew_writeablerA   r   r   r8   r8   r9   test_read_onlyp  s   zTestInterp1D.test_read_onlyrA   )rS   r   r   r   r   c                 C   sz   t dgdg|ddd}t|g dg d t dgdg|dd	}ttd
d |d W d    d S 1 s6w   Y  d S )NrT   r  Frp   )rA   r_   ra   )r[   rT   r%   )r%   r  rq   Tr   zx_new is abovematchr*   )r   r   rO   rP   )r0   rA   r   r8   r8   r9   test_single_value~  s   
"zTestInterp1D.test_single_valueN)rS   )+ri   rj   rk   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  rD   Zcomplex_r  r  pytestmarkZskipifr!   r  r  r!  r$  r%  r)  Zparametrizer,  r8   r8   r8   r9   rl   x   sN    )D	EE	
	
 "

 
	rl   c                   @   s   e Zd Zdd ZdS )TestLagrangec                 C   s@   t g d}tt|j}||}t||}t|j|j d S )N)rL   r%   r[   rK   rJ   )r   rD   rW   lencoeffsr   r   )r0   pxsZysplr8   r8   r9   test_lagrange  s
   
zTestLagrange.test_lagrangeN)ri   rj   rk   r5  r8   r8   r8   r9   r/    s    r/  c                   @   s4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestAkima1DInterpolatorc                 C   sR   t dd}t g d}t||}t g d}t g d}t||| d S )Nro   r   ro   r*   r)   r   r*   r         @r8  g@ffffff@r   ro   r(   r)   rT   rU         @g      @r9  g      @g@g333333!@g#@rn   ro   g      ?r*   rT   g     @?g     @g.袋@g^@gn @gGNB@grcߖ@g	I@r   )rD   rW   rN   r   r   r0   r2   r1   akr  r   r8   r8   r9   	test_eval  s   
z!TestAkima1DInterpolator.test_evalc                 C   sv   t dd}t g d}t |d| f}t||}t g d}t g d}t |d| f}t||| d S )Nro   r   r7  r*   r:  r<  )rD   rW   rN   Zcolumn_stackr   r   r=  r8   r8   r9   test_eval_2d  s   
z$TestAkima1DInterpolator.test_eval_2dc                 C   s  t dd}t g d}t d}||d d ddf< d| |d d ddf< d| |d d ddf< d	| |d d ddf< t||}t g d
}t d}t g d}||d d ddf< d| |d d ddf< d| |d d ddf< d	| |d d ddf< t||| d S )Nro   r   r7  )r   r%   r%   r   r*   r[   r   r  r:  )   r%   r%   r<  )rD   rW   rN   emptyr   r   )r0   r2   Zy_r1   r>  r  r   Zyi_r8   r8   r9   test_eval_3d  s    


z$TestAkima1DInterpolator.test_eval_3dc                 C   s`   t g d}t ||d fj}t||}t ddg}||}t|t ||d fj d S )Nr   r%   r(   rT   )rD   rN   ZvstackTr   r   )r0   r2   r1   r>  Zx_evalZy_evalr8   r8   r9   %test_degenerate_case_multidimensional  s   
z=TestAkima1DInterpolator.test_degenerate_case_multidimensionalc                 C   sh   t dd}t g d}t||}d}tjt|d |d d  W d    d S 1 s-w   Y  d S )Nro   r   r7  z9Extending a 1-D Akima interpolator is not yet implementedr*  )rD   rW   rN   r   r-  r	   NotImplementedErrorextend)r0   r2   r1   r>  r+  r8   r8   r9   test_extend  s   
"z#TestAkima1DInterpolator.test_extendN)ri   rj   rk   r?  r@  rC  rE  rH  r8   r8   r8   r9   r6    s    	r6  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 )TestPPolyCommonc                 C   sJ   t ddgddgddgg}t g d}ttt|| ttt|| d S )Nr[   rK   r%   rL   rJ   r  )r   r[   r(   )rD   rN   rO   rP   r   r   )r0   r   r2   r8   r8   r9   test_sort_check  s   zTestPPolyCommon.test_sort_checkc                 C   s@   t t tddgddg W d    d S 1 sw   Y  d S )Nr[   r%   r   )rO   rP   r   r   r8   r8   r9   test_ctor_c  s   
"zTestPPolyCommon.test_ctor_cc                 C   s8  t jd d}t t jddt jd df }dt j|d t|d dd d }ttfD ]i}||d d d df |d d }|	|d d dd f |dd   ||d d dd f |dd  }|	|d d d df |d d  |||}t
|j|j t
|j|j t
|j|j t
|j|j q0d S )	Nr>   rJ   r   rq   rC   r%   r[   r   )rD   rE   rF   uniquer   randr0  r   r   rG  r   r   r2   )r0   orderr2   r   clspppp2pp3r8   r8   r9   rH    s   "&"$"$
zTestPPolyCommon.test_extendc                 C   s   t jd t ddd}t jdd}t ddd}t jdd}ttfD ]=}|||}|||}|||}|||dd   t jdddd	d
}	t ddd}
t||	||	 t||
||
 q&d S )Nr>   r   r[   r  r%   rL   rK   r   F)endpoint)	rD   rE   rF   r   rM  r   r   rG  r   )r0   r2   r   rx   c2rO  pp1rQ  Zpp_combZxi1Zxi2r8   r8   r9   test_extend_diff_orders  s   


z'TestPPolyCommon.test_extend_diff_ordersc                 C   s&  t jd d}t t jddd}t j|d |jd d dd}ttfD ]i}|||}||d d d df |d d }|	|d d dd f |dd   ||d d dd f |dd  }|	|d d d df |d d  t
|j|j t
|j|j t
|j|j t
|j|j q'd S )Nr   rJ   rq      r[   r%   r   )rD   rE   rF   sortuniformrM  r   r   r   rG  r   r   r2   )r0   rN  r2   r   rO  r2  p1p2r8   r8   r9   test_extend_descending  s    
"$"$z&TestPPolyCommon.test_extend_descendingc                 C   s   t jd t jddddd}t t jd}t jdd	}ttfD ]}|||}t||jd
 q$ttfD ]0}||d |}tt |dd tt |t 	dd t
t|t j	ddgdggtd q8d S )Nr>   r   r   rL   r  r\   rA  rJ   rK   )rJ   rK   rL   r  r\   ).r   r   r   r(   r8   r  r  皙?r   )rD   rE   rF   rM  rX  r   r   r   r   rN   rO   rP   object)r0   r   r2   xprO  r2  r8   r8   r9   
test_shape1  s   
"zTestPPolyCommon.test_shapec                 C   s   t jd t t jd}t jdd }|j|j}}t jd}ttfD ]0}|||||||||}}}	dD ]}
t|||
j|||
 t|||
j|	||
 q=q(d S )N90  rA  )r   r   y      ?333333?rL   r   )	rD   rE   rF   rX  r  r  r   r   r   )r0   r2   r   Zc_reZc_imr_  rO  r2  Zp_reZp_imnur8   r8   r9   test_complex_coefC  s   "z!TestPPolyCommon.test_complex_coefc              
   C   s~  t jd t jdddddd}|j}t jd}d	D ]}|j|d
  }t t j|d
 }ttfD ]m}||||d}t|j	j|||d  |d |  ||d d    ||}	|d | |j |d| d   }
t|	j|
 ||||d
 ||||d
d||||d ||||ddfD ]	}t|j|j qq4qdD ]}ttfD ]}tt|fi t|||d qqd S )Nra  rJ   rK   rL   r  r\   r   )r[   r%   r   r[   r%   rJ   r[   r   r%   )rM   rK   rL   r  )r   r2   r   )rD   rE   rF   rM  r   rX  r   r   r   r   
derivativeantiderivativer   rO   rP   r   )r0   r   Zc_sr_  r   mr2   rO  r2  resZ
targ_shaperZ  r8   r8   r9   	test_axisO  s8   *"zTestPPolyCommon.test_axisN)ri   rj   rk   rJ  rK  rH  rV  r\  r`  rc  ri  r8   r8   r8   r9   rI    s    rI  c                   @   sT   e Zd ZG dd deZG dd deZdd Zdd Zd	d
 Z	dd Z
dd ZdS )TestPolySubclassingc                   @      e Zd ZdS )zTestPolySubclassing.PNri   rj   rk   r8   r8   r8   r9   Pn      rm  c                   @   rk  )zTestPolySubclassing.BNrl  r8   r8   r8   r9   Bq  rn  ro  c                 C   sB   t jd t t jd}t jd}| ||| ||fS )Nr>   rJ   )rK   r%   )rD   rE   rF   rX  rm  ro  )r0   r2   r   r8   r8   r9   _make_polynomialst  s   z%TestPolySubclassing._make_polynomialsc                 C   sJ   |   \}}||fD ]}| }t|j|j q
| }t|j|j d S r   )rp  re  r   	__class__rf  )r0   rP  bpr2  pdZppar8   r8   r9   test_derivativez  s   z#TestPolySubclassing.test_derivativec                 C   sf   t jd t t jdt jddf }t jt|}t||dd}| j	|}t
|j| j d S )Nr>   r   r   r[   r  )rD   rE   rF   rX  r   rM  r0  r   rm  from_spliner   rq  )r0   r2   r1   splrP  r8   r8   r9   test_from_spline  s   z$TestPolySubclassing.test_from_splinec                 C   sD   |   \}}| j|}t|j| j | j|}t|j| j d S r   )rp  rm  from_bernstein_basisr   rq  ro  from_power_basis)r0   rP  rr  rU  bp1r8   r8   r9   test_conversions  s
   z$TestPolySubclassing.test_conversionsc                 C   s8   g d}dgdgdgg}| j ||}t|j| j  d S )Nr   r[   r%   rJ   )ro  from_derivativesr   rq  )r0   r2   r1   rr  r8   r8   r9   test_from_derivatives  s   z)TestPolySubclassing.test_from_derivativesN)ri   rj   rk   r   rm  r   ro  rp  rt  rx  r|  r~  r8   r8   r8   r9   rj  m  s    			rj  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5d6 Zd7d8 Zd9S ):	TestPPolyc                 C   sT   t ddgddgddgg}t g d}t||}t|dd	 t|d
d d S )Nr[   rK   r%   rL   rJ   r  r   r(   r[   333333?Q@ffffff?p=
ף@rD   rN   r   r   r0   r   r2   r2  r8   r8   r9   test_simple  s
   
zTestPPoly.test_simplec                 C   sx   t ddgddgddgg}t g d}t||dd	}t|d
d t|dd t|d
dd t|ddd d S )Nr[   rK   r%   rL   rJ   r  r  periodicr   g?r  333333ӿr  g@gffffff@r  r  r8   r8   r9   test_periodic  s   zTestPPoly.test_periodicc                 C   s   t ddgddgddgg}t g d}t g d}t||d	d
 dD ]}||j_||j_t||}||}tt |  q%d S )Nr[   rK   r%   rL   rJ   r  r  )r   r  r  r  r  r&  )rD   rN   r   r'  r(  r   re   rd   )r0   r   r2   r   r(  r   r   r8   r8   r9   r)    s   
zTestPPoly.test_read_onlyc              	   C   s  dd }t jd d}dD ]}t t jdd|d }t jjdd	|d |fd
}t |}|d d d f t |d d d dd f  }||}|| }	t |j|	}
|
| }t	||dd}t	|d d d d df |d d d dd}t jddd}t
||||dd t
||d||ddd | }| }t
||||dd | }| }t jdddD ]*\}}|||}|||}t
||dd t
|||| |||| dd q| }| }t
|t |dd qd S )Nc                 S   sF   t | d dd}t | d }t||}|d d dd d df S )Nr[   rM   )rD   rW   rv   r#   )powerr  kro  r8   r8   r9   binom_matrix  s   
z/TestPPoly.test_descending.<locals>.binom_matrixr   rJ   rq   rW  rC   rq   r[   r   r%   sizerM   Tr  r   rW  r   vIh%<=r   rL   r%   -q=)rD   rE   rF   rX  rY  diffrW   dotrD  r   r   re  rf  	integrateroots)r0   r  r  rg  r2   cahZh_powersro  capZcdpcdpars  x_testpa_dpd_dpa_ipd_irX   rY   int_aint_dZroots_dZroots_ar8   r8   r9   test_descending  sB   
,*zTestPPoly.test_descendingc                 C   s   t jddddd}t g d}t||}t|jj|j t|jj|j t|dj|jdd   t|t jddjd|jdd    |	 }t|jjd	 |
 }t|jjd
 d S )Nr  r%   r[   rJ   r  r  rL   rL   r  rL   r%   r[   r%   rJ   )r\   r%   r[   r%   rJ   )rD   rE   rM  rN   r   r   r2   r   r   re  rf  )r0   r   r2   r2  dpipr8   r8   r9   test_multi_shape  s   
(zTestPPoly.test_multi_shapec                 C   sf   t jd t jddgddgddggtd}t g d	}t||}t|d
d t|dd d S )Nr>   r[   rK   r%   rL   rJ   r  r   r  r  r  r  r  )rD   rE   rF   rN   r   r   Zconstruct_fastr   r  r8   r8   r9   test_construct_fast  s    zTestPPoly.test_construct_fastc                 C   s   t jd t jddd}t t jdt jddf }t||}t jd }t|||}t||| t	|d d d d df ||}t||d d df | d S )	Nr>   rJ   r      r   r   r[   )r  r(   gQ?333333?)
rD   rE   rF   rM  rX  r   r   _ppoly_eval_1r   _ppoly_eval_2)r0   r   r2   r2  r_  expectedr8   r8   r9   #test_vs_alternative_implementations  s   

z-TestPPoly.test_vs_alternative_implementationsc                 C   s   t jd t t jdt jddf }t jt|}t||dd}t	|}t 
ddd}t||t|| t| }t	|}t|||| |\}}	}
dD ]}t||	|
|d}t	|}t|j|j qSd S )	Nr>   r   r   r[   ru  r   )NTFr  )rD   rE   rF   rX  r   rM  r0  r   r   rv  r   r   r   r   r   r   )r0   r2   r1   rw  rP  r  rY   Zppptr   r  Zextrapr2  r8   r8   r9   rx    s    



zTestPPoly.test_from_splinec                 C   s   t jd t g dgj}t g dgj}t ddggj}t ddg}t||}t||}t||}t| j|j t|dj|j d S )	Nr>   )rK   rJ   r%   r[   )r   r  r%      r  r   r[   r%   )	rD   rE   rF   rN   rD  r   r   re  r   )r0   r   ZdcZddcr2   rP  ZdppZddppr8   r8   r9   test_derivative_simple)  s   


z TestPPoly.test_derivative_simplec                 C   s   t jd t t jdt jddf }t jt|}t||dd}t	|}t 
ddd}tddD ]}t|||t||| q5d S )Nr>   r   r   r[   ru  r   rJ   )rD   rE   rF   rX  r   rM  r0  r   r   rv  r   r   r   r   r0   r2   r1   rw  rP  r  dxr8   r8   r9   test_derivative_eval7  s   
zTestPPoly.test_derivative_evalc                 C   s   t jd t t jdt jddf }t jt|}t||ddd}t	|}t 
ddd}tddD ]}t||||||d	|f d
 q6d S )Nr>   r   r   r[   rL   r  r  r   rq   zdx=%dr  )rD   rE   rF   rX  r   rM  r0  r   r   rv  r   r   r   re  r  r8   r8   r9   rt  C  s   
zTestPPoly.test_derivativec                 C   s^   t dggddg}t| jt dgdggddgj t| jt dgdggddgj d S )Nr)   r   r[   )r   r   rf  r   r2   )r0   r2  r8   r8   r9   test_antiderivative_of_constantP  s   $(z)TestPPoly.test_antiderivative_of_constantc                 C   sp   t ddggg d}| }t|jddgddgg t|jg d t|ddd t|d|d d d S )Nr)   r(   r   r[   r   r%   rT   )r   rf  r   r   r2   r   r  )r0   r2  qr8   r8   r9   #test_antiderivative_regression_4355V  s   z-TestPPoly.test_antiderivative_regression_4355c           	      C   s   t jd t g dg dgj}t g dg dgj}t g dg dgj}t g d}t||}| }|d	}| }t|j| t|j	j|j t|j	j|j t|j	j|j d S )
Nr>   )rJ   r%   r[   )r   r         ?)r[   r[   r[   r   )r   r   r        ?)      ?gUUUUUU?r(   r   r   )r   r   g      ?r  g*?)r   r  r[   r%   )
rD   rE   rF   rN   rD  r   rf  r   r2   r   )	r0   r   ZicZiicr2   rP  ippZiippZiipp2r8   r8   r9   test_antiderivative_simple_  s"   


z$TestPPoly.test_antiderivative_simplec              	   C   s   t jd t dddd }t jt|}t||ddd}t|}t	ddD ]J}|
|}||}t|j|j t	|D ]2}||}d	}	|	|jd d
  d|	 |jdd    }
t||jdd  ||
dd||f d q@q)d S )Nr>   r   r[   rC   r%   rL   r  rq   r  rM   r   z
dx=%d k=%d)r   r   )rD   rE   rF   r   rM  r0  r   r   rv  r   rf  re  r   r   r2   )r0   r2   r1   rw  rP  r  r  rQ  r  rrS  r8   r8   r9   !test_antiderivative_vs_derivativew  s$   



(z+TestPPoly.test_antiderivative_vs_derivativec           	      C   s   t jd t t jdt jddf }t jt|}t||ddd}t	|}t
ddD ]}||}t||}t ddd}t||t||d	d
 q/d S )Nr>   r   r   r[   rL   r  rq   r   r   r   )rD   rE   rF   rX  r   rM  r0  r   r   rv  r   rf  r   r   r   r   )	r0   r2   r1   rw  rP  r  rQ  Zspl2r  r8   r8   r9   test_antiderivative_vs_spline  s   


z'TestPPoly.test_antiderivative_vs_splinec                 C   sh   t g dg dgj}t g d}t||}| }t|d|ddd | }t|j|j d S )N)r%   r[   r%   r%   )r%   r[   rJ   rJ   r  gA?g_p   ?g:0yE>r   )rD   rN   rD  r   rf  r   re  r   )r0   r   r2   r2  r  r[  r8   r8   r9   test_antiderivative_continuity  s   
z(TestPPoly.test_antiderivative_continuityc           	      C   s   t jd t t jdt jddf }t jt|}t||ddd}t	|}d\}}|
||}| }t|||||  t|t||| d\}}|j
||d	d
}t|||||  tt |j
||dd
  d S )Nr>   r   r   r[   rL   r  )r  ?)r  r  Tr  F)rD   rE   rF   rX  r   rM  r0  r   r   rv  r  rf  r   r   r   rc   rd   )	r0   r2   r1   rw  rP  rX   rY   igr  r8   r8   r9   test_integrate  s   
"zTestPPoly.test_integratec                 C   sn   t g d}t ddgddgddgddgg}dD ]}||j_t||}|dd	}tt |  qd S )
Nr[   r%   rK   ro   r   r*          r)   r&  r[   rK   )	rD   rN   r'  r(  r   r  r   re   rd   )r0   r2   r   r(  rm  r   r8   r8   r9   test_integrate_readonly  s   "
z!TestPPoly.test_integrate_readonlyc                 C   s  t g d}t ddgddgddgddgg}t||dd}| }|d	|d
 }t|d
d	| t|dd| t|ddd|  t|dd|d|d  t|dd|d|d
 |d	 |d  t|dd|d|d
 |d	 |d  t|dd|d|d
 |d	 |d d	|   t|dd|d|d  t|dd|d|d  t|dd|d|d d|   d S Nr  ro   r   r*   r  r)   r  r  rK   r[   r   ir%   rT   rU   r;  rL   g      /@   r   rM   rJ   i)rD   rN   r   rf  r   r  r0   r2   r   rm  IZ
period_intr8   r8   r9   test_integrate_periodic  s&   ".&*z!TestPPoly.test_integrate_periodicc                 C   sl   t dddd }t d| }t||ddd}t|}| }||dk|d	k@  }t|t|d
d d S )Nr   r[   rB   r%   rC   rJ   r  gV瞯Ҽg     ?r   r   )	rD   r   r   r   r   rv  r  r   r   )r0   r2   r1   rw  rP  r  r8   r8   r9   
test_roots  s   
zTestPPoly.test_rootsc                 C   s   t ddgddgddggj}t g d}t||}t| ddt jdg d}| }|dd d f  |7  < t||}t||ddt jdg d S )	NrM   r  r   )r   r]  r  r)   r]  g333333?r*   r[   )	rD   rN   rD  r   r   r  rb   rG   solve)r0   r   r2   rP  constc1rU  r8   r8   r9   test_roots_idzero  s   


zTestPPoly.test_roots_idzeroc                 C   s   dgdgg}ddg}t ||}t| dtjg t|ddtjg t|dg  ddgddgg}g d}t ||}t| dtjdtjg t|ddtjdtjg t|dg  d S )Nr   r[   r   )r   r   r  rD   rb   r  r  r8   r8   r9   test_roots_all_zero  s   

zTestPPoly.test_roots_all_zeroc                 C   sZ   t g dg dgj}t g d}t||}t| ddg t|jdddg d S )N)r[   r   rM   )rM   r   r   r   r   r   Fr  )rD   rN   rD  r   r   r  r0   r   r2   rP  r8   r8   r9   test_roots_repeated  s
   
zTestPPoly.test_roots_repeatedc                 C   s   t dgdggj}t g d}t||}t| dg t|jddg  t|ddg t|jdddg  t|dg  t|jdddg  d S )Nr[   rM   r  r(   F)discontinuityrT   )rD   rN   rD  r   r   r  r  r  r8   r8   r9   test_roots_discont   s   
zTestPPoly.test_roots_discontc                 C   sT  t jd d}dD ]}tddD ]}t t jddt jd df }dt j|d t|d dd	 d }t||}dt j fD ]Y}|j	|d
|d}tdD ]J}	td	D ]C}
||	|
f }|j
dkr||j
7 }|||dd d |	|
f }||d|dd d |	|
f }d|dt| }t|| | dd|d qWqQqCqq
t|dkt| d S )Nr>   r   r&  rW  rq   rC   r%   r[   rJ   F)r  r   r  )rb  r   (z) r = r   r   r   )rD   rE   rF   r   rL  r   rM  r0  r   r  r  reprr   r   )r0   numr   rN  r2   r   rP  r1   r  ijrrvalZcmpvalmsgr8   r8   r9   test_roots_random/  s<   "&


zTestPPoly.test_roots_randomc              
   C   sJ  t jd tddD ]}t j|dd}|dkr"d|d d ddf< dt j fD ]x}t j|jtd}t	|| |dkrGt
t |  q)d}d}t|D ]$}|||d f ||d |   7 }|t||d f ||d |   7 }qOt jd	d
 || }W d    n1 sw   Y  | }|t |  }t|ddd q)qd S )Nr>   r[   r      rJ   )r[   r%   r[   r   r   ignore)invalidg|=r   )rD   rE   rF   r   rM  rB  r   complexr   Z_croots_poly1r   rc   rd   absZerrstater/   r   )r0   r  r   r1   wrh  Zcresr  r8   r8   r9   test_roots_crootsN  s0    &
zTestPPoly.test_roots_crootsc                 C   s  t g dgj}t ddg}dD ]u}t|||d}| }| }|du rWtt |ddg  tt |ddg  tt |ddg  t	|
 dg qt|ddgd	d
g tt |ddg   tt |ddg   t|
 ddg qd S )Nr   r   r[   TFNr  F皙皙?gGz?gzGʿrM   )rD   rN   rD  r   re  rf  r   rc   rd   r   r  r   any)r0   r   r2   r   rP  Zpp_dZpp_ir8   r8   r9   test_extrapolate_attrl  s    zTestPPoly.test_extrapolate_attrN)ri   rj   rk   r  r  r)  r  r  r  r  rx  r  r  rt  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r8   r8   r8   r9   r    s:    1	r  c                   @   d   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d Zdd ZdS )	TestBPolyc                 C   s,   ddg}dgg}t ||}t|dd d S )Nr   r[   rJ   r  r   r   r   r0   r2   r   rr  r8   r8   r9   r    s   
zTestBPoly.test_simplec                 C   s0   ddg}dgdgg}t ||}t|dd d S )Nr   r[   rJ   r  ggfffff@r  r  r8   r8   r9   test_simple2  s   
zTestBPoly.test_simple2c                 C   s4   ddg}dgdgdgg}t ||}t|dd d S )Nr   r[   rJ   rK   r  g433333@r  r  r8   r8   r9   test_simple3  s   
zTestBPoly.test_simple3c                 C   s8   ddg}dgdgdgdgg}t ||}t|dd d S )Nr   r[   r%   r  g:On?r  r  r8   r8   r9   test_simple4  s   
zTestBPoly.test_simple4c                 C   s<   ddg}dgdgdgdgdgg}t ||}t|dd d S )Nr   r[   r   r%   r  g	h"l@r  r  r8   r8   r9   test_simple5  s   
zTestBPoly.test_simple5c                 C   sl   g d}ddgddgddgg}t ||dd}t|dd t|d	d
 t|ddd t|d	dd d S )Nr   r[   rJ   rJ   r   r%   r  r  g333333@gHzG?g[(\?r[   r  r  r  r8   r8   r9   r    s   zTestBPoly.test_periodicc              	   C   sx  t jd d}dD ]}t t jdd|d }t jjdd|d |fd}|d d d	  }t||d
d}t|d d d d d	f |d d d	 d
d}t jddd}t||||dd t||d||ddd | }	| }
t|	||
|dd |	 }|	 }t jdddD ]*\}}|
||}|
||}t||dd t|||| |||| dd qq
d S )Nr   rJ   r  rq   r[   r  r  r  rM   Tr  r   rW  r   r  r   r  r  )rD   rE   rF   rX  rY  rG   r   r   re  rf  r  )r0   r  rg  r2   r  r  r  rs  r  r  r  r  r  rX   rY   r  r  r8   r8   r9   r    s2   *zTestBPoly.test_descendingc                 C   s   t jddddd}t g d}t||}t|jj|j t|jj|j t|dj|jdd   t|t jddjd|jdd    |	 }t|jjd	 d S )
Nr  r%   r[   rJ   r  r  rL   r  r  )
rD   rE   rM  rN   r   r   r2   r   r   re  )r0   r   r2   r2  r  r8   r8   r9   r    s   
zTestBPoly.test_multi_shapec                 C   sl   ddg}dgdgdgg}t ||}d}|d }t||dd|  d|  d| d|   d| |   d S )Nr   r%   rJ   r[   rK   r  r  )r0   r2   r   rr  Zxvalr  r8   r8   r9   test_interval_length  s   
>zTestBPoly.test_interval_lengthc                 C   sH   g d}ddgddgddgg}t ||}t|dd t|dd d S )	Nr  rJ   r   r%   r]  gGzG?333333?r  r  r  r8   r8   r9   test_two_intervals  s
   
zTestBPoly.test_two_intervalsc                 C   s   ddg}dgdgdgg}t ||}dD ]H}t |||d}| }|du r?tt|d	d
g  tt|d	d
g  qtt|d	d
g   tt|d	d
g   qd S )Nr   r%   rJ   r[   rK   r  r  Fr  g @)r   re  r   rD   rc   rd   r  )r0   r2   r   rr  r   Zbp_dr8   r8   r9   r    s   
zTestBPoly.test_extrapolate_attrN)ri   rj   rk   r  r  r  r  r  r  r  r  r  r  r  r8   r8   r8   r9   r    s    	
"r  c                   @   r  )TestBPolyCalculusc                 C   s   g d}ddgddgddgg}t ||}| }t|dd t|dd t|dd	d
|ddd
|ddd
gg d t|dd	d
|ddd
|ddd
gg d d S )Nr  rJ   r   r%   r]  r  r  r  r[   rb  )r  r   ro   )r  r)   r   )r   re  r   )r0   r2   r   rr  Zbp_derr8   r8   r9   rt    s   
""z!TestBPolyCalculus.test_derivativec           	      C   s   t jd d\}}t t j|}t j||d f}t||}t|}t|D ]}| }| }t 	|d |d d}t
|||| q+d S Nr>   rL   r   r[   r   rM   r<   )rD   rE   rF   rX  r   r   ry  r   re  r   r   )	r0   rg  r  r2   r   rr  rP  dr_  r8   r8   r9   test_derivative_ppoly  s   

z'TestBPolyCalculus.test_derivative_ppolyc           	      C   s   t jd d\}}t t j|}t j||d f}| |d fD ]&}t||}t |d |d d}t|D ]}t||||	|| q;q%d S )Nr>   r  r[   r  r   rM   r<   )
rD   rE   rF   rX  rG   r   r   r   r   re  )	r0   rg  r  r2   r   ccrr  r_  r  r8   r8   r9   test_deriv_inplace"  s   
z$TestBPolyCalculus.test_deriv_inplacec              	   C   sz   g d}ddgddgg}t ||}| }tddd}t||t|dk |d d d| |d d  d	 d
d
d d S )Nr  r   r[   rJ   r   r%   r*   r(   g      ?r  r   r   )r   rf  rD   r   r   where)r0   r2   r   rr  Zbixxr8   r8   r9   r  /  s   

z,TestBPolyCalculus.test_antiderivative_simplec                 C   sn   t jd t t jd}t jd}t||}t |d |d d}t|  |||ddd d S )	Nr>   r   rK   rq   r%   rJ   r   rM   r   r  r  )	rD   rE   rF   rX  r   r   r   rf  re  r0   r2   r   rr  r  r8   r8   r9   test_der_antiderC  s   


z"TestBPolyCalculus.test_der_antiderc                 C   s|   t jd t t jd}t jd}t||}t|}t |d |d d}t|	d||	d|ddd	 d S )
Nr>   r   r	  r   rM   rq   r%   r  r  )
rD   rE   rF   rX  r   r   ry  r   r   rf  )r0   r2   r   rr  rP  r  r8   r8   r9   test_antider_ppolyM  s   


z$TestBPolyCalculus.test_antider_ppolyc                 C   sj   t jd t t jd}t jd}t|| }|jdd }t||d ||d ddd d S )	Nr>   r   rK   rq   r[   rM   r   r  r  )rD   rE   rF   rX  r   rf  r2   r   r
  r8   r8   r9   test_antider_continuousY  s   
z)TestBPolyCalculus.test_antider_continuousc                 C   sb   t jd t t jd}t jd}t||}t|}t|dd|ddddd d S )Nr>   r   r  r   r[   r  r  )	rD   rE   rF   rX  r   r   ry  r   r  )r0   r2   r   rr  rP  r8   r8   r9   r  c  s   


z TestBPolyCalculus.test_integratec                 C   sr   dgg}ddg}t ||}t|ddddd t ||dd}tt|dd t|jddd	dddd d S )
Nr[   r   r%   r*   r   r   Fr  T)r   r   r  r   rD   rc   )r0   r   r2   rY   b1r8   r8   r9   test_integrate_extrapl  s   
z'TestBPolyCalculus.test_integrate_extrapc                 C   s  t g d}t ddgddgddgddgg}tjt||dd}| }|d	|d
 }t|d
d	| t|dd| t|ddd|  t|dd|d|d  t|dd|d|d
 |d	 |d  t|dd|d|d
 |d	 |d  t|dd|d|d
 |d	 |d d	|   t|dd|d|d  t|dd|d|d  t|dd|d|d d|   d S r  )rD   rN   r   rz  r   rf  r   r  r  r8   r8   r9   r  y  s&   ".&*z)TestBPolyCalculus.test_integrate_periodicc                 C   sr   dgg}ddg}t ||}tddd}t|d|| |ddd t|d||d|ddd d S )Nr[   r   r<   rM   r  r  )r   rD   r   r   re  rf  )r0   r   r2   rY   r  r8   r8   r9   test_antider_neg  s   

z"TestBPolyCalculus.test_antider_negN)ri   rj   rk   rt  r  r  r  r  r  r  r  r  r  r  r8   r8   r8   r9   r    s    

	r  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestPolyConversionsc                 C   sl   g d}ddgddgddgg}t ||}t|}t |}ddg}t|||| t|||| d S )	Nr  rJ   r%   r[   r   rK   r  ffffff?)r   r   rz  ry  r   )r0   r2   r   rP  rr  rU  r_  r8   r8   r9   test_bp_from_pp     


z#TestPolyConversions.test_bp_from_ppc           	      C   s   t jd d\}}t t j|}t j||d f}t||}t|}t|}t |d |d d}t	|||| t	|||| d S r   )
rD   rE   rF   rX  r   r   rz  ry  r   r   )	r0   rg  r  r2   r   rP  rr  rU  r_  r8   r8   r9   test_bp_from_pp_random  s   


z*TestPolyConversions.test_bp_from_pp_randomc                 C   sl   g d}ddgddgddgg}t ||}t|}t |}ddg}t|||| t|||| d S )Nr  rJ   r[   rK   r%   r  r  )r   r   ry  rz  r   )r0   r2   r   rr  rP  r{  r_  r8   r8   r9   test_pp_from_bp  r  z#TestPolyConversions.test_pp_from_bpc                 C   s   g d}ddgddgddgg}t ||}tt t | W d    n1 s(w   Y  t||}tt t| W d    d S 1 sGw   Y  d S )Nr  rJ   r[   rK   r%   )r   rO   	TypeErrorry  r   rz  )r0   r2   r   rP  rr  r8   r8   r9   test_broken_conversions  s   



"z+TestPolyConversions.test_broken_conversionsN)ri   rj   rk   r  r  r  r  r8   r8   r8   r9   r    s
    r  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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 )"TestBPolyFromDerivativesc                 C   s&   t dddgdg}t|ddg d S )Nr   r[   r%   rJ   r*   r   r   _construct_from_derivativesr   )r0   r  r8   r8   r9   test_make_poly_1  s   z)TestBPolyFromDerivatives.test_make_poly_1c                 C   sp   t ddddgdg}t|g d t ddddgdg}t|g d t dddgddg}t|g d d S )Nr   r[   )r)   r)   r)   r%   rJ   )r*   r;  r)   )r*   g      r)   r  r0   r  rT  c3r8   r8   r9   test_make_poly_2  s   z)TestBPolyFromDerivatives.test_make_poly_2c                 C   sr   t ddg ddg}t|g d t dddgg d}t|g d t ddddgdd	g}t|g d
 d S )Nr   r[   )r[   r%   rJ   rK   )r)   竪?g@r  )rK   r%   rJ   )r)   gUUUUUU	@g
@r  r%   rJ   )r)   r!  r   r  r  r  r8   r8   r9   test_make_poly_3  s   z)TestBPolyFromDerivatives.test_make_poly_3c                 C   s   t jd t jdt jdf }t jdt jdf }tdd||}t|d d d f ddg}tdD ]}t|d|dg|| || g | }q5d S )Nra  r   rL   r[   r  ro   r)   )	rD   rE   rF   r   r   r  r   r   re  )r0   ZyaZybr   rP  r  r8   r8   r9   test_make_poly_12  s   "
z*TestBPolyFromDerivatives.test_make_poly_12c           	      C   sv   t jd ddg}d\}}t j|ddddf}t||}t||}t||}t ddd}t|||| d S )	Nra  r   r[   )r   rL   r%   rJ   rK   r   )rD   rE   rF   r   Z_raise_degreer   r   )	r0   r2   r  r  r   rr  r  r{  r_  r8   r8   r9   test_raise_degree  s   

z*TestBPolyFromDerivatives.test_raise_degreec                 C   s   t ttjddgdg d S )Nr   r[   rO   rP   r   r}  r   r8   r8   r9   
test_xi_yi  s   z#TestBPolyFromDerivatives.test_xi_yic                 C   s,   g d}dgdgdgg}t ttj|| d S )Nr   r   r[   r   r%  )r0   r  r   r8   r8   r9   test_coords_order	  s   z*TestBPolyFromDerivatives.test_coords_orderc                 C   sn   g d}ddgdgddgddgg}t ||}t|jjdk | }dD ]}t||||gddg q%d S )Nrd  r   )rK   rJ   )ro   r  r)   r  gffffff?r*   rU   ro   )r   r}  r   r   r   re  r   )r0   r  r   rP  Zppdr_  r8   r8   r9   
test_zeros  s   z#TestBPolyFromDerivatives.test_zerosc                    sJ   t jd t dd t|d D } fddt|d D }||fS )Nr>   c                 S   s   g | ]}d |d  qS )r)   r%   r8   r   r  r8   r8   r9   
<listcomp>      z<TestBPolyFromDerivatives._make_random_mk.<locals>.<listcomp>r[   c                    s   g | ]}t j qS r8   )rD   rE   r*  r  r8   r9   r+    r,  )rD   rE   rF   r"  r   r0   rg  r  r  r   r8   r-  r9   _make_random_mk  s   z(TestBPolyFromDerivatives._make_random_mkc                    s^   d\}}|  ||\}}t||}t|d D ] t|| fdd|D  | }qd S )NrL   r   r%   c                    s   g | ]}|  qS r8   r8   )r   yyrN  r8   r9   r+  %      z;TestBPolyFromDerivatives.test_random_12.<locals>.<listcomp>)r/  r   r}  r   r   re  r0   rg  r  r  r   rP  r8   r2  r9   test_random_12  s   
z'TestBPolyFromDerivatives.test_random_12c                 C   s:   d\}}|  ||\}}tttjfi t||dd d S )Nr0  r   r  r   orders)r/  rO   rP   r   r}  r   r.  r8   r8   r9   test_order_zero(  s
   
z(TestBPolyFromDerivatives.test_order_zeroc                 C   sV   d\}}|  ||\}}tj||d| d d tttjfi t||d| d d S )Nr0  r%   r[   r7  r6  )r/  r   r}  rO   rP   r   r.  r8   r8   r9   test_orders_too_high.  s   
z-TestBPolyFromDerivatives.test_orders_too_highc                 C   s4  d\}}|  ||\}}d}tj|||d}t|d d D ]}t||dd d ||dd d  | }qtt||dd d ||dd d   d}tj|||d}t|d D ]}t||dd d ||dd d  | }qctt||dd d ||dd d   d S )	Nr0  rL   r9  r%   r[   rM   r  r  )	r/  r   r}  r   r   re  r   rD   allclose)r0   rg  r  r  r   rN  rP  r  r8   r8   r9   test_orders_global6  s   *
2*
6z+TestBPolyFromDerivatives.test_orders_globalc           
      C   s   d\}}|  ||\}}dd t|D }t|dd D ];\}}tj|||d}t|| d d D ]}	t||d ||d  | }q3tt	||d ||d   qd S )	N)r\   r   c                 S   s   g | ]}|d  qS )r[   r8   )r   or8   r8   r9   r+  R  r3  z>TestBPolyFromDerivatives.test_orders_local.<locals>.<listcomp>r[   rM   r9  r%   r  )
r/  r   r
  r   r}  r   re  r   rD   r;  )
r0   rg  r  r  r   r7  r  r2   rP  r  r8   r8   r9   test_orders_localN  s   
$z*TestBPolyFromDerivatives.test_orders_localc                 C   sd   d\}}t t j|d }t j|d |dddf}t||}t|jjd| |dddf d S )N)r\   rL   r[   r  r\   r   r%   )rD   rX  rE   r   r}  r   r   r   r4  r8   r8   r9   test_yi_trailing_dimsZ  s
    z.TestBPolyFromDerivatives.test_yi_trailing_dimsc                 C   s   t d}tjddgdgdgg|d}t|dd t d}tjddgdgdgg|d}t|dd d}tjddgdgdgg|d}t|dd d}d S )Nr[   r   r9  )rD   Zint32r   r}  r   Zint64)r0   r7  r2  r8   r8   r9   test_gh_5430a  s   

z%TestBPolyFromDerivatives.test_gh_5430N)ri   rj   rk   r  r   r"  r#  r$  r&  r(  r)  r/  r5  r8  r:  r<  r>  r?  r@  r8   r8   r8   r9   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 )TestNdPPolyc                 C   sz   t jd t jdd}t ddd}t jd}t||f}||f}t|d d d d d f || }t|| d S )Nr>   rK   rL   r   r[   r  r   )	rD   rE   rF   rM  r   r   r  r/   r   )r0   r   r2   r  r2  v1v2r8   r8   r9   test_simple_1dt  s   
"zTestNdPPoly.test_simple_1dc           
   
   C   sF  t jd t jdddd}t ddd}t dddd	 }t jd
}t jd
}t jt|dg|jd}|t j	 t
|ddd||ft jddgt jdt j||f t jddgt jdd| | }t|||f||}t|| t|||f}dD ]!}	|t j||f |	d}t|||f|||	d}t||t|	d qd S )Nr>   rK   rL   r  r\   r   r[   r   r%   r   r   rW  *   )Nr   r   r   r[   )r[   r   )r%   rJ   )r   r%   r  r  )rD   rE   rF   rM  r   rB  r0  r   fillrb   r   Zevaluate_ndrv   rN   ZintcZc_r/   _ppoly2d_evalr   r   r  )
r0   r   r2   r1   r  r   rB  rC  r2  rb  r8   r8   r9   test_simple_2d  s2   
zTestNdPPoly.test_simple_2dc              	   C   s   t jd t jdddddd}t dd	d}t dd	dd
 }t dd	dd }t jd}t jd}t jd}t||||f}dD ]!}	||||f|	d}
t||||f||||	d}t|
|t|	d qFd S )Nr>   rK   rL   r  r\   r   r   r   r[   r%   rq   rJ   (   )Nr   r   r   r   r[   r   r[   r   r   )r%   rJ   r   )r  r   r%   r  r  )	rD   rE   rF   rM  r   r   _ppoly3d_evalr   r  )r0   r   r2   r1   r3   r  r   zir2  rb  rB  rC  r8   r8   r9   test_simple_3d  s   zTestNdPPoly.test_simple_3dc              
   C   s   t jd t jdddddddd	}t d
dd}t d
ddd }t d
dd	d }t d
ddd }t jd}t jd}t jd}t jd}	t|||||f}
|
||||	f}t|||||f||||	}t|| d S )Nr>   rK   rL   r  r\   r   r   rq   r   r   r[   r%   rJ   r   rW  )rD   rE   rF   rM  r   r   _ppoly4d_evalr   )r0   r   r2   r1   r3   r7   r  r   rP  Zuir2  rB  rC  r8   r8   r9   test_simple_4d  s   zTestNdPPoly.test_simple_4dc                 C   s   t jd t jdd}t ddd}t||f}|jdgd}t||}| }t|j	|j	 |j
dgd}t||}|
d}t|j	|j	 d S )	Nr>   rK   rL   r   r[   r  r  r%   )rD   rE   rF   rM  r   r   re  r   r   r   rf  )r0   r   r2   r2  r  rZ  dp1r8   r8   r9   test_deriv_1d  s   


zTestNdPPoly.test_deriv_1dc           	   
   C   s\  t jd t jdddddd}t dd	d}t dd	dd
 }t dd	dd }t||||f}t|ddd	d
dd|}|jd
gd}|d
}t	|j
|j
dd
dd	dd t|d	ddd
dd|}|jg dd}|d	}t	|j
|j
d
dddd	d t|d
ddd	dd|}|jg dd}|d}t	|j
|j
d
ddddd	 d S )Nr>   rK   rL   r  r\   r   r   r   r[   r%   rq   rJ   r  rM  )r   r   rJ   )rD   rE   rF   rM  r   r   r   	transposere  r   r   rf  )	r0   r   r2   r1   r3   r2  rZ  r  rT  r8   r8   r9   test_deriv_3d  s0   


zTestNdPPoly.test_deriv_3dc           
      C   s   t d}t dddd }t dddd }t dddd }t||||f}|d	}|d
}t jd}t jd}t jd}	t||||	f||d  |	d  tdtd   d S )N)r[   r[   r[   rJ   rK   rL   r   r[   rK   rL   r%   r  rJ   )r[   r   rK   )r   r%   r   rW  )	rD   r   r   r   rf  rE   rM  r   r   )
r0   r   r2   r1   r3   r2  r  r  r   rP  r8   r8   r9   test_deriv_3d_simple  s   


"z TestNdPPoly.test_deriv_3d_simplec           	         sr  t jd t jdddd}t dddd }t dddd	 }|dd	dd
}||jd |jd d }t	
||d	 ||j}|dd	dd
}|dd
dd	}||jd |jd d }t	
||d	 ||j}|d	dd
d }t|||f ddgddgddgddgfD ]&} |}t fdd|tdddgd	 d\}}t||ddt|d qd S )Nr>   rK   rL   r;   r  r   r[   r   r%   rJ   rM   rG  )r   r(   )r  r  )r  r  c                    s    | |fS r   r8   )r2   r1   r2  r8   r9   <lambda>)	  s    z/TestNdPPoly.test_integrate_2d.<locals>.<lambda>gh㈵>)ZepsrelZepsabs)r   )r   r   r   )rD   rE   rF   rM  r   rV  rv   r   rG   r   Zfix_continuityr   r  r"   r   r   r  )	r0   r   r2   r1   Zcxrangesr  Zig2Zerr2r8   rY  r9   test_integrate_2d	  s8   


zTestNdPPoly.test_integrate_2dc                 C   sX  t jd t jdddddd}t dd	dd	 }t dd	dd
 }t dd	dd }t||||f}t jd}t jd}d\}}	|j||	dd}
|d}t|
||f||	||f||||f  |j||	d	d}|d}t|||f|||	|f||||f  |j||	d
d}|d}t|||f||||	f||||f  d S )Nr>   rK   rL   r  r;   r  r   r   r[   r%   r   rJ   r   )r  r  r   rN  rM  r'  )	rD   rE   rF   rM  r   r   Zintegrate_1drf  r   )r0   r   r2   r1   r3   r2  r7   r6   rX   rY   ZpxZpaxpyZpayZpzZpazr8   r8   r9   test_integrate_1d.	  s$   
*
*
.zTestNdPPoly.test_integrate_1dN)ri   rj   rk   rD  rJ  rQ  rS  rU  rW  rX  r\  r^  r8   r8   r8   r9   rA  s  s    !rA  c                    s   t t| jd f}t|D ]R\}}|dk s|dkr&t j||ddf< qt ||d ||  t| |  koD|d  k n   t fddt	 jd D }|||ddf< q|S )z&Evaluate piecewise polynomial manuallyr%   r   r[   Nc                 3   s2    | ]} |f  j d  | d   V  qdS )r   r[   N)r   r   r  r   r  r  r8   r9   r   S	  s    *z _ppoly_eval_1.<locals>.<genexpr>)
rD   rV   r0  r   r
  rb   searchsortedr   sumr   )r   r2   Zxpsr#  r  r_  r  r8   r`  r9   r  I	  s   (r  c                    s   |d }|d }| j d }t |}t|}t|}||k||k@ }	|||	 < ||	}
t||
d dt|| |
| }tj	||d t
 fddtt|
D }|||	< ||_ |S )z4Evaluate piecewise polynomial manually (another way)r   rM   r[   )Nc              	      s4   g | ]}t  |d d f d d | f qS r   )rD   r  r_  VZindxsrP  r8   r9   r+  j	  s   4 z!_ppoly_eval_2.<locals>.<listcomp>)r   rD   r/   Z
empty_likecompressra  Zclipr0  ZtakeZvanderrN   r   )r1  Zbreaksr   rH  rX   rY   KZ	saveshaperh  maskr  r  valuesr8   rd  r9   r  Y	  s$   





$r  c                 C   s:   |dk rt d||krdS t|| d || ||   S )z
    d^n (x**y) / dx^n
    r   zinvalid derivative orderr[   )rP   r   )r2   r1   r  r8   r8   r9   _dpowp	  s
   rj  c              
   C   sn  |du rd}t jt|f| jd}| jdd \}}tt||D ]\}\}	}
|d d |	  kr9|d d krNn n|d d |
  krM|d d ksTn t j||< q!t |d |	d }t |d |
d }|	|d |  }|
|d |  }d}t	| jd D ].}t	| jd D ]$}|| || d || d ||f t
|||d  t
|||d  7 }qq|||< q!|S )z@
    Straightforward evaluation of 2-D piecewise polynomial
    NrF  r   r%   r   rM   r[   rD   rB  r0  r   r   r
  ziprb   ra  r   rj  )r   r3  r   ynewrb  r#  nxnyjoutr2   r1   j1j2s1s2r  k1k2r8   r8   r9   rI  |	  s0   (&
 
rI  c                 C   s  |du rd}t jt|f| jd}| jdd \}}}	tt|||D ]\}
\}}}|d d |  kr<|d d kren n'|d d |  krP|d d kren n|d d |  krd|d d kskn t j||
< q#t |d |d }t |d |d }t |d |d }||d |  }||d |  }||d |  }d}t	| jd D ]F}t	| jd D ]<}t	| jd D ]2}|| || d || d |	| d |||f t
|||d  t
|||d  t
|||d  7 }qqq|||
< q#|S )	z@
    Straightforward evaluation of 3-D piecewise polynomial
    NrL  r   rJ   r   rM   r[   r%   rk  )r   r3  r   rm  znewrb  r#  rn  ro  Znzrp  r2   r1   r3   rq  rr  j3rs  rt  s3r  ru  rv  k3r8   r8   r9   rO  	  s>   ((&
,
rO  c                 C   st  |du rd}t jt|f| jd}| jdd \}}	}
}tt||||D ]\}\}}}}|d d |  kr@|d d kr}n n;|d d |  krT|d d kr}n n'|d d |  krh|d d kr}n n|d	 d |  kr||d	 d ksn t j||< q%t |d |d }t |d |d }t |d |d }t |d	 |d }||d |  }||d |  }||d |  }||d	 |  }d}t	| jd D ]^}t	| jd D ]T}t	| jd D ]J}t	| jd	 D ]@}|| || d |	| d |
| d || d ||||f t
|||d  t
|||d  t
|||d  t
|||d	  7 }qqqq|||< q%|S )
z@
    Straightforward evaluation of 4-D piecewise polynomial
    N)r   r   r   r   r   rK   r   rM   r[   r%   rJ   rk  )r   r3  r   rm  rw  Zunewrb  r#  rf   rg   Zmzmurp  r2   r1   r3   r7   rq  rr  rx  Zj4rs  rt  ry  Zs4r  ru  rv  rz  Zk4r8   r8   r9   rR  	  sL   $(((&
8
	rR  r   )>Znumpy.testingr   r   r   r   r   r   r   r-  r	   rO   numpyr
   r   r   r   r   r   rD   Zscipy.interpolater   r   r   r   r   r   r   r   r   r   r   r   r   Zscipy.specialr   r   r   Zscipy._lib._gcutilsr    r!   Zscipy.integrater"   r#   r$   rl   r/  r6  rI  rj  r  r  r  r  r  rA  r  rb   r  rj  rI  rO  rR  r8   r8   r8   r9   <module>   sV   $  <_      
J /   i  1 $ W

$(