o
    tBhH                    @   s  d dl Z 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!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/m0Z0 d d
l(m1Z1 d dl2m3Z3 G dd dZ4G dd dZ5G dd dZ6G dd dZ7G dd dZ8G dd dZ9G 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$d% Z@ejAfd&d'ZBd(d) ZCd6d*d+ZDd6d,d-ZEd6d.d/ZFG d0d1 d1ZGG d2d3 d3ZHG d4d5 d5ZIdS )7    N)assert_assert_equalassert_almost_equalassert_array_almost_equalassert_array_equalassert_allcloseassert_warns)raises)mgridpisinogridpoly1dlinspace)interp1dinterp2dlagrangePPolyBPolysplrepsplev
splantidersplintsprootAkima1DInterpolatorRegularGridInterpolatorLinearNDInterpolatorNearestNDInterpolatorRectBivariateSplineinterpnNdPPolyBSplineCloughTocher2DInterpolator)pochgamma)_ppoly)assert_deallocatedIS_PYPY)nquad)binom)matrixc                   @   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|||}t|ddtddd tddd	dtd
f \}}t|| | t|d|  dd d S )Nr                    4@              5@      ?      ?       @decimaly              8@y              9@)r
   r   r   r   r   r   ravel)selfyxzIvu r<   /var/www/html/riverr-enterprise-integrations-main/venv/lib/python3.10/site-packages/scipy/interpolate/tests/test_interpolate.pytest_interp2d    s   ,zTestInterp2D.test_interp2dc                 C   sh   t ddd}t dtd}t|d d d f |d d d f d  }t|||}t|ddtddd d S )Nr   r,         r1   r0   r2   )r   r   r   r   r   )r5   r7   r6   r8   r9   r<   r<   r=   test_interp2d_meshgrid_input)   s
   (z)TestInterp2D.test_interp2d_meshgrid_inputc                 C   sH  t jd tddd}tdtd}t|d d d f |d d d f d  }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	|||||| d S )N  r   r,   r?   r@   r1   cubickind      )
nprandomseedr   r   r   r   copyshuffler   )r5   r7   r6   r8   ip1ip2ip3r<   r<   r=   %test_interp2d_meshgrid_input_unsorted1   s    (((z2TestInterp2D.test_interp2d_meshgrid_input_unsortedc                 C   s   t ddddtdf \}}t|d|  }t|||}tg d}tddg}t||||||d d d	  tt|||d d d	 ddd
 d S )Nr   r,   r-   r.   r/   )         333333@gffffff@T)	r
   r   r   r   rH   arrayr   assert_raises
ValueError)r5   r6   r7   r8   funcxeyer<   r<   r=   test_interp2d_eval_unsortedH   s    "z(TestInterp2D.test_interp2d_eval_unsortedc                 C   sn   t ddg}d|d< t d }}t|||d}t|ddt dgdd	 t|dd
t dgdd	 d S )NrS   r0   )r,   r,   linearr1         ?r/   r,   r2         @)rH   zerosaranger   r   rV   )r5   ar7   r6   br<   r<   r=   test_interp2d_linearS   s    z!TestInterp2D.test_interp2d_linearc           
      C   s$  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|||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   d S )Nr      rS   r,      rU   rQ   rF   !   Tbounds_error
fill_value)
rH   r   r   rW   rX   nanr   isnanallisfinite)
r5   r7   r6   r8   ixiyrc   izmxmyr<   r<   r=   test_interp2d_bounds\   s   $
2z!TestInterp2D.test_interp2d_boundsN)	__name__
__module____qualname__r>   rA   rP   r\   rd   ru   r<   r<   r<   r=   r+      s    		r+   c                   @   s$  e Zd Zdd Zdd Zdd Zdd Zd	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dCddZdCd d!Zd"d# Zd$d% Zd&d' Zd(d) ZdCd*d+ZdCd,d-Zd.d/ Zejdfd0d1Zd2d3 Zejj e!d4d5d6d7 Z"d8d9 Z#d:d; Z$d<d= Z%d>d? Z&d@dA Z'dBS )DTestInterp1Dc                 C   s   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| _d| _d S )N      @      $@)r,   rS   r1           g      4@)r,   
   r}   r,   )r,   r,   rS   g      >@)r,   rQ   rS   )rQ   r,   rS   g      Y)rH   ra   x5x10y10reshapex25x2y2rV   x1y1y210y102y225y25y235y325rk   r5   r<   r<   r=   setup_methodr   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 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zeror]   slinear	quadraticrC   previousnextrD   extrapolaterE   rk   r]   )rU   re   rU   )rU   )rU   rU   r   re   r,   rQ   )rE   axisrk   r}   r   )rU   rU   rU   r<   r|   )r   r   r   rH   rV   r   r   onesrW   rX   r   r   r   r   r   r5   rE   r<   r<   r=   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)rK   rh         @rj   )r0   r1   r   re   r   )r   r   r   r   rK   ri   rH   rm   rk   r   r   r   r   r   r7   r6   r   r<   r<   r=   	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 )NrU   333333?g333333@gffffff@      @F)assume_sortedT)	r   r   r   r   rH   rV   rW   rX   r   )r5   interp10interp10_unsortedinterp10_assume_kwinterp10_assume_kw2interp10_y_2dinterp10_y_2d_unsortedr<   r<   r=   test_assume_sorted   s(   "
*
zTestInterp1D.test_assume_sortedc                 C      dD ]}|  | qd S )N)r]   r   )_check_linearr   r<   r<   r=   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 )NrD   r   r   r   r         r   	      )rU   r   r   r   +=rtolTrE   rk   ri   
r   r   r   r   rH   rV   r   dictrW   rX   )r5   rE   r   extrapolatoroptsr<   r<   r=   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   dtyper]   rD   V瞯<atolr   re   r,   r   re   )rH   sctypesra   r   r   r   r   rl   )r5   dtypr7   r6   ypr<   r<   r=   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 ]@}t jdd|d}|D ]3}t | d |}|D ]#}||}	|D ]}
t	|||
dd}t
||	|dd	|||f d
 q:q1q"qd S )N)r   r   r   rC   r   r}   r   r   F)rE   ri   Hz>z	%s, %s %sr   err_msg)rH   float16float32float64	complex64
complex128ra   expastyper   r   )r5   dt_rdt_rcspline_kindsdtxr7   dtyr6   dtnxnewrE   fr<   r<   r=   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 )NrC   rD   r   r^   r   r   r   r   r   rH   rV   r5   r   r<   r<   r=   
test_cubic1  s   zTestInterp1D.test_cubicc                 C      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   rD   r   r0   r^   r   r1   r   r   r   r   r   r   r   r   r   r   r   Tr   r   r5   r   r   r   r<   r<   r=   test_nearest:  $   zTestInterp1D.test_nearestc                 C   s   t | j| jdd}t|| j| j t|dtd t|dtd t|g dtg d t | j| jdd	d
}t|g dg ddd tdd	dd}tt	t | j| jfi | d S )Nr   rD   r   r0   r^   r1   r   r   r   r   r   r   r   r   Tr   r   r   r<   r<   r=   test_nearest_upO  r   zTestInterp1D.test_nearest_upc                 C   r   )Nr   rD   r   r0   r^   r   r1   rz   r   r   r   r   r   r   r   Tr   r   r   r<   r<   r=   test_previousd  $   zTestInterp1D.test_previousc                 C   r   )Nr   rD   r   r1   r^   r   )r   r   r   r   r   r   r   r   r   Tr   r   r   r<   r<   r=   	test_nextx  r   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   rD   r   r0   r^   r   r   r   r   r<   r<   r=   	test_zero  s   zTestInterp1D.test_zeror]   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}tt	|d tt	|d |g d d S )NF)rk   ri   rE   gffffff&@g333333g333333)@gL3@)r   r|   rz         "@      &@)TFFFF)FFFFTT)ri   rE   r   r   )r|   rz   r   )
r   r   r   rk   r   rH   rV   _check_boundsrW   rX   )r5   rE   extrap10raises_bounds_errorr<   r<   r=   _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 )Nr}   Fr   re   r   rU   )
rH   ra   r   int_r   rl   r   rm   r   r_)r5   rE   r7   r6   cyir<   r<   r=   _bounds_check_int_nan_fill  s   "z'TestInterp1D._bounds_check_int_nan_fillc                 C   "   dD ]}|  | | | qd S )N)r]   rC   r   r   r   r   r   r   )r   r   r   r<   r<   r=   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   r}   r   r   rU   )rE   r   rk   ri   rQ   re   r   )r      ,  r,   r   r   )r   8r   r   c                 s   s    | ]}t |V  qd S N)rH   rV   ).0r   r<   r<   r=   	<genexpr>  s    z1TestInterp1D._check_fill_value.<locals>.<genexpr>  i  ii0)r   r   r   r   r   r   r   r   r   ndimshaperW   rX   rH   rV   rangetuple)r5   rE   interpr6   resultrk   iir<   r<   r=   _check_fill_value  sX  
"










zTestInterp1D._check_fill_valuec                 C   r   N)r]   r   rC   r   r   r   r   r   )r  r   r<   r<   r=   test_fill_valueX  s   zTestInterp1D.test_fill_valuec                 C   s4   t | j| jdd}t|jd d|_t|jd d S )Ng     ^@rj   g     t@)r   r   r   r   rk   )r5   r  r<   r<   r=   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 )NrD   r   rz   r1         @r   r<   r0   r         (@r   r   rE   r   g      *@g      .@g      1@r{         @g      ,@)r   r   r   r   rH   rV   r   
isinstancendarrayr   r  r   r   )r5   rE   r   	interp210	interp102x_newr<   r<   r=   _nd_check_interpe  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)rR   rS      rf   r  r   r  )r,   rQ   re   r  re   )	rH   ra   prodr   	enumerater   r   listr  )
r5   rE   rb   r6   nsr7   r8   r   rc   r<   r<   r=   _nd_check_shape  s   
zTestInterp1D._nd_check_shapec                 C   r   )N)r]   rC   r   r   r   r   r   r   )r  r  r   r<   r<   r=   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)
re   r_   rQ   g@rR   g@g@g       @g      #@r}         ?       @rD   rU   re   r}   rF   )rH   rV   r   r   r   r   realimag)	r5   r   rE   r7   r6   r   xicrcir<   r<   r=   _check_complex  s   
zTestInterp1D._check_complexc                 C   s*   dD ]}|  tj| |  tj| qd S r	  )r%  rH   r   r   r   r<   r<   r=   test_complex  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   re   皙?皙?)rH   r   r&   r   )r5   r7   r6   r  r<   r<   r=   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   rD   )rH   rV   int8r   r   )r5   rE   r7   r  r<   r<   r=   test_overflow_nearest  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 )Nr}   r  )r   r   rD   g@r  )
rH   ra   r   r   rK   rl   r   r   ro   rn   )r5   r7   r6   rE   irvalsr<   r<   r=   test_local_nans  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   rQ   )r   rC   rD   r  re   rS   )rH   ra   r   r   rK   rl   r   asarrayr   rm   rn   r   r  )
r5   r7   r6   ynrE   r/  irnr   outoutnr<   r<   r=   test_spline_nans  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 )Nr}   rC   rD   )rH   r   rl   ra   rW   rX   r   )r5   r7   r6   r<   r<   r=   test_all_nans  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   r}   r   r   r(  TFF)r]   r   r   r   r   rC   rD   )	rH   ra   r   flags	writeabler   r   ro   rn   )r5   r7   r6   r   xnew_writeablerE   r   r0  r<   r<   r=   test_read_only  s   zTestInterp1D.test_read_onlyN)r]   )(rv   rw   rx   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r
  r  r  r  r  rH   complex_r%  r&  pytestmarkskipifr'   r*  r.  r1  r7  r8  r=  r<   r<   r<   r=   ry   p   sD    E	
	
 "

 
	ry   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)rS   r,   re   rR   rQ   )r   rH   ra   lencoeffsr   r   )r5   pxsysplr<   r<   r=   test_lagrange  s
   
zTestLagrange.test_lagrangeN)rv   rw   rx   rI  r<   r<   r<   r=   rB    s    rB  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 )Nr|   r   r|   r1   r0   r   r1   r         @rL  g@ffffff@r   r|   r/   r0   r^   r_         @g      @rM  g      @g@g333333!@g#@r{   r|   g      ?r1   r^   g     @?g     @g.袋@g^@gn @gGNB@grcߖ@g	I@r   )rH   ra   rV   r   r   r5   r7   r6   akr"  r   r<   r<   r=   	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 )Nr|   r   rK  r1   rN  rP  )rH   ra   rV   column_stackr   r   rQ  r<   r<   r=   test_eval_2d  s   
z$TestAkima1DInterpolator.test_eval_2dc                 C   s  t dd}t g d}t d}||d d ddf< d| |d d ddf< d| |d d ddf< d	| |d d ddf< t||}t g d
}t d}t g d}||d d ddf< d| |d d ddf< d| |d d ddf< d	| |d d ddf< t||| d S )Nr|   r   rK  )r   r,   r,   r   r1   re   r   r  rN  )   r,   r,   rP  )rH   ra   rV   emptyr   r   )r5   r7   y_r6   rR  r"  r   yi_r<   r<   r=   test_eval_3d  s    


z$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/   r^   )rH   rV   vstackTr   r   )r5   r7   r6   rR  x_evaly_evalr<   r<   r=   %test_degenerate_case_multidimensional5  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 )Nr|   r   rK  z9Extending a 1-D Akima interpolator is not yet implemented)match)rH   ra   rV   r   r?  r	   NotImplementedErrorextend)r5   r7   r6   rR  r`  r<   r<   r=   test_extend>  s   
"z#TestAkima1DInterpolator.test_extendN)rv   rw   rx   rS  rU  rZ  r_  rc  r<   r<   r<   r=   rJ    s    	rJ  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 )Nre   rR   r,   rS   rQ   r  )r   re   r/   )rH   rV   rW   rX   r   r   )r5   r   r7   r<   r<   r=   test_sort_checkI  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 )Nre   r,   r   )rW   rX   r   r   r<   r<   r=   test_ctor_cO  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 )	NrB   rQ   r   r}   rG   r,   re   r   )rH   rI   rJ   uniquer   randrC  r   r   rb  r   r   r7   )r5   orderr7   r   clspppp2pp3r<   r<   r=   rc  T  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 )NrB   r   re   r  r,   rS   rR   r   F)endpoint)	rH   rI   rJ   r   rh  r   r   rb  r   )r5   r7   r   r   c2rj  pp1rl  pp_combxi1xi2r<   r<   r=   test_extend_diff_ordersj  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   rQ   r}      re   r,   r   )rH   rI   rJ   sortuniformrh  r  r   r   rb  r   r   r7   )r5   ri  r7   r   rj  rE  p1p2r<   r<   r=   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 )NrB   r      rS   r  rf   rV  rQ   rR   )rQ   rR   rS   r  rf   ).r   r   r   r/   r<   r(  r)  皙?r   )rH   rI   rJ   rh  rv  r   r   r   r  rV   rW   rX   object)r5   r   r7   xprj  rE  r<   r<   r=   
test_shape  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  rV  )r   r{  y      ?333333?rS   r   )	rH   rI   rJ   rv  r   r!  r   r   r   )r5   r7   r   c_rec_imr~  rj  rE  p_rep_imnur<   r<   r=   test_complex_coef  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 )Nr  rQ   rR   rS   r  rf   r   )re   r,   r   re   r,   rQ   re   r   r,   )rU   rR   rS   r  )r   r7   r   )rH   rI   rJ   rh  r  rv  r   r   r   r   
derivativeantiderivativer   rW   rX   r   )r5   r   c_sr~  r   mr7   rj  rE  res
targ_shaperx  r<   r<   r=   	test_axis  s8   *"zTestPPolyCommon.test_axisN)rv   rw   rx   re  rf  rc  rt  rz  r  r  r  r<   r<   r<   r=   rd  G  s    rd  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rv   rw   rx   r<   r<   r<   r=   P      r  c                   @   r  )zTestPolySubclassing.BNr  r<   r<   r<   r=   B  r  r  c                 C   sB   t jd t t jd}t jd}| ||| ||fS )NrB   rQ   )rR   r,   )rH   rI   rJ   rv  r  r  )r5   r7   r   r<   r<   r=   _make_polynomials  s   z%TestPolySubclassing._make_polynomialsc                 C   sJ   |   \}}||fD ]}| }t|j|j q
| }t|j|j d S r   )r  r  r   	__class__r  )r5   rk  bprE  pdppar<   r<   r=   test_derivative  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 )NrB   r   r   re   r  )rH   rI   rJ   rv  r   rh  rC  r   r  from_spliner   r  )r5   r7   r6   splrk  r<   r<   r=   test_from_spline  s   z$TestPolySubclassing.test_from_splinec                 C   sD   |   \}}| j|}t|j| j | j|}t|j| j d S r   )r  r  from_bernstein_basisr   r  r  from_power_basis)r5   rk  r  rp  bp1r<   r<   r=   test_conversions  s
   z$TestPolySubclassing.test_conversionsc                 C   s8   g d}dgdgdgg}| j ||}t|j| j  d S )Nr   re   r,   rQ   )r  from_derivativesr   r  )r5   r7   r6   r  r<   r<   r=   test_from_derivatives  s   z)TestPolySubclassing.test_from_derivativesN)rv   rw   rx   r   r  r   r  r  r  r  r  r  r<   r<   r<   r=   r    s    			r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ 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 )Nre   rR   r,   rS   rQ   r  r   r/   re   333333?Q@ffffff?p=
ף@rH   rV   r   r   r5   r   r7   rE  r<   r<   r=   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 )Nre   rR   r,   rS   rQ   r  r  periodicr   g?r  333333ӿr  g@gffffff@r  r  r<   r<   r=   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_t||}||}tt |  q%d S )Nre   rR   r,   rS   rQ   r  r  )r   r(  r)  r  r  r9  )rH   rV   r   r:  r;  r   ro   rn   )r5   r   r7   r   r;  r   r0  r<   r<   r=   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 )Nre   rU   )rH   ra   r   r)   )powerr  kr  r<   r<   r=   binom_matrix#  s   
z/TestPPoly.test_descending.<locals>.binom_matrixr   rQ   r}   ru  rG   r}   re   r,   sizerU   Tr  r   ru  r   vIh%<=r   rS   r,   -q=)rH   rI   rJ   rv  rw  diffra   dotr\  r   r   r  r  	integrateroots)r5   r  r  r  r7   cahh_powersr  capcdpcdpar  x_testpa_dpd_dpa_ipd_irb   rc   int_aint_droots_droots_ar<   r<   r=   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,   re   rQ   r  r  rS   rS   r  rS   r,   re   r,   rQ   )rf   r,   re   r,   rQ   )rH   rI   rh  rV   r   r   r7   r  r   r  r  )r5   r   r7   rE  dpipr<   r<   r=   test_multi_shapeS  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 )NrB   re   rR   r,   rS   rQ   r  r   r  r  r  r  r  )rH   rI   rJ   rV   r   r   construct_fastr   r  r<   r<   r=   test_construct_fastb  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 )	NrB   rQ   r{     r   r   re   )r  r/   gQ?333333?)
rH   rI   rJ   rh  rv  r   r   _ppoly_eval_1r   _ppoly_eval_2)r5   r   r7   rE  r~  expectedr<   r<   r=   #test_vs_alternative_implementationsj  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 )	NrB   r   r   re   r  r   )NTFr  )rH   rI   rJ   rv  r   rh  rC  r   r   r  r   r   r   r!   r   r   )r5   r7   r6   r  rk  r"  rc   ppptr   r  extraprE  r<   r<   r=   r  x  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 )	NrB   )rR   rQ   r,   re   )r{  r  r,      r  r   re   r,   )	rH   rI   rJ   rV   r\  r   r   r  r   )r5   r   dcddcr7   rk  dppddppr<   r<   r=   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 )NrB   r   r   re   r  r   rQ   )rH   rI   rJ   rv  r   rh  rC  r   r   r  r   r  r   r   r5   r7   r6   r  rk  r"  dxr<   r<   r=   test_derivative_eval  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 )NrB   r   r   re   rS   r  r  r   r}   zdx=%dr  )rH   rI   rJ   rv  r   rh  rC  r   r   r  r   r  r   r  r  r<   r<   r=   r    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 )Nr0   r   re   )r   r   r  r   r7   )r5   rE  r<   r<   r=   test_antiderivative_of_constant  s   $(z)TestPPoly.test_antiderivative_of_constantc                 C   sp   t ddggg d}| }t|jddgddgg t|jg d t|ddd t|d|d d d S )Nr0   r/   r   re   r   r,   r^   )r   r  r   r   r7   r   r  )r5   rE  qr<   r<   r=   #test_antiderivative_regression_4355  s   z-TestPPoly.test_antiderivative_regression_4355c           	      C   s   t jd t g dg dgj}t g dg dgj}t g dg dgj}t g d}t||}| }|d	}| }t|j| t|j	j|j t|j	j|j t|j	j|j d S )
NrB   )rQ   r,   re   )r   r         ?)re   re   re   r   )r   r   r        ?)      ?gUUUUUU?r/   r   r   )r   r   g      ?r  g*?)r   r  re   r,   )
rH   rI   rJ   rV   r\  r   r  r   r7   r   )	r5   r   iciicr7   rk  ippiippiipp2r<   r<   r=   test_antiderivative_simple  s"   


z$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 )NrB   r   re   rG   r,   rS   r  r}   r  rU   r   z
dx=%d k=%d)r   r   )rH   rI   rJ   r   rh  rC  r   r   r  r  r  r  r   r   r7   )r5   r7   r6   r  rk  r  r  rl  r  rrn  r<   r<   r=   !test_antiderivative_vs_derivative  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 )NrB   r   r   re   rS   r  r}   r   r   r   )rH   rI   rJ   rv  r   rh  rC  r   r   r  r  r  r   r   r   r   )	r5   r7   r6   r  rk  r  rl  spl2r"  r<   r<   r=   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,   re   r,   r,   )r,   re   rQ   rQ   r  gA?g_p   ?g:0yE>r   )rH   rV   r\  r   r  r   r  r   )r5   r   r7   rE  r  ry  r<   r<   r=   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 )NrB   r   r   re   rS   r  )r  ?)r  r  Tr  F)rH   rI   rJ   rv  r   rh  rC  r   r   r  r  r  r   r   r   rm   rn   )	r5   r7   r6   r  rk  rb   rc   igr  r<   r<   r=   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re   r,   rR   r|   r   r1          r0   r9  re   rR   )	rH   rV   r:  r;  r   r  r   ro   rn   )r5   r7   r   r;  r  r0  r<   r<   r=   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  r|   r   r1   r   r0   r  r  rR   re   r   ir,   r^   r_   rO  rS   g      /@   r   rU   rQ   i)rH   rV   r   r  r   r  r5   r7   r   r  r9   
period_intr<   r<   r=   test_integrate_periodic4  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   re   rF   r,   rG   rQ   r  gV瞯Ҽg     ?r   r   )	rH   r   r   r   r   r  r  r   r   )r5   r7   r6   r  rk  r  r<   r<   r=   
test_rootsL  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 )	NrU   r  r   )r   r|  r  r0   r|  g333333?r1   re   )	rH   rV   r\  r   r   r  rl   rK   solve)r5   r   r7   rk  constc1rp  r<   r<   r=   test_roots_idzeroW  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   re   r   )r   r   r  rH   rl   r	  r  r<   r<   r=   test_roots_all_zeroj  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)re   r   rU   )rU   r   r   rU   r   re   r  r   Fr  )rH   rV   r\  r   r   r  r5   r   r7   rk  r<   r<   r=   test_roots_repeatedz  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 )Nre   rU   r  r/   F)discontinuityr^   )rH   rV   r\  r   r   r  r	  r  r<   r<   r=   test_roots_discont  s   
zTestPPoly.test_roots_discontc                 C   sP  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 ]W}|j	|d
|d}tdD ]H}	td	D ]A}
||	|
f }|j
dkr||j
7 }|||dd d |	|
f }||d|dd d |	|
f }d|t|f }t|| | dd|d qWqQqCqq
t|dkt| d S )NrB   r   r9  ru  r}   rG   r,   re   rQ   F)r  r   r  )r  r   z(%r) r = %sr   r   r   )rH   rI   rJ   r  rg  r   rh  rC  r   r	  r  reprr   r   )r5   numr   ri  r7   r   rk  r6   r  ijrrvalcmpvalmsgr<   r<   r=   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 )NrB   re         rQ   )re   r,   re   r   r   ignore)invalidg|=r   )rH   rI   rJ   r  rh  rW  r  complexr%   _croots_poly1r   rm   rn   abserrstater4   r   )r5   r  r   r6   wr  cresr  r<   r<   r=   test_roots_croots  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   re   TFNr  F皙皙?gGz?gzGʿrU   )rH   rV   r\  r   r  r  r   rm   rn   r   r  r   any)r5   r   r7   r   rk  pp_dpp_ir<   r<   r=   test_extrapolate_attr  s    zTestPPoly.test_extrapolate_attrN)rv   rw   rx   r  r  r=  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r&  r-  r<   r<   r<   r=   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   re   rQ   r(  r   r   r   r5   r7   r   r  r<   r<   r=   r    s   
zTestBPoly.test_simplec                 C   s0   ddg}dgdgg}t ||}t|dd d S )Nr   re   rQ   r(  ggfffff@r0  r1  r<   r<   r=   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   re   rQ   rR   r)  g433333@r0  r1  r<   r<   r=   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   re   r,   r  g:On?r0  r1  r<   r<   r=   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   re   r   r,   r  g	h"l@r0  r1  r<   r<   r=   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   re   rQ   rQ   r   r,   r  r  g333333@gHzG?g[(\?re   r  r0  r1  r<   r<   r=   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   rQ   r  r}   re   r(  r(  r  rU   Tr  r   ru  r   r  r   r  r  )rH   rI   rJ   rv  rw  rK   r   r   r  r  r  )r5   r  r  r7   r  r  r  r  r  r  r  r  r  rb   rc   r  r  r<   r<   r=   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,   re   rQ   r  r  rS   r  r  )
rH   rI   rh  rV   r   r   r7   r  r   r  )r5   r   r7   rE  r  r<   r<   r=   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,   rQ   re   rR   r(  r0  )r5   r7   r   r  xvalr  r<   r<   r=   test_interval_lengthJ  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 )	Nr6  rQ   r   r,   r|  gGzG?333333?r7  r0  r1  r<   r<   r=   test_two_intervalsR  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,   rQ   re   rR   r'  r  Fr(   @)r   r  r   rH   rm   rn   r*  )r5   r7   r   r  r   bp_dr<   r<   r=   r-  Z  s   
zTestBPoly.test_extrapolate_attrN)rv   rw   rx   r  r2  r3  r4  r5  r  r  r  r:  r<  r-  r<   r<   r<   r=   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 )Nr6  rQ   r   r,   r|  r8  r;  r  re   r  )r8  r   r|   )r  r0   r   )r   r  r   )r5   r7   r   r  bp_derr<   r<   r=   r  k  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 NrB   rS   r   re   r   rU   r@   )rH   rI   rJ   rv  r   r   r  r  r  r   r   )	r5   r  r  r7   r   r  rk  dr~  r<   r<   r=   test_derivative_ppolyy  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 )NrB   rC  re   r  r   rU   r@   )
rH   rI   rJ   rv  rK   r   r   r  r   r  )	r5   r  r  r7   r   ccr  r~  r  r<   r<   r=   test_deriv_inplace  s   
z$TestBPolyCalculus.test_deriv_inplacec              	   C   sz   g d}ddgddgg}t ||}| }tddd}t||t|dk |d d d| |d d  d	 d
d
d d S )Nr6  r   re   rQ   r   r,   r1   r/         ?r  r   r   )r   r  rH   r   r   where)r5   r7   r   r  bixxr<   r<   r=   r    s   

z,TestBPolyCalculus.test_antiderivative_simplec                 C   sn   t jd t t jd}t jd}t||}t |d |d d}t|  |||ddd d S )	NrB   r   rR   r}   r,   rQ   r   rU   r   r  rI  )	rH   rI   rJ   rv  r   r   r   r  r  r5   r7   r   r  rL  r<   r<   r=   test_der_antider  s   


z"TestBPolyCalculus.test_der_antiderc                 C   s|   t jd t t jd}t jd}t||}t|}t |d |d d}t|	d||	d|ddd	 d S )
NrB   r   rM  r   rU   r}   r,   r  rI  )
rH   rI   rJ   rv  r   r   r  r   r   r  )r5   r7   r   r  rk  rL  r<   r<   r=   test_antider_ppoly  s   


z$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 )	NrB   r   rR   r}   re   rU   r   r  rI  )rH   rI   rJ   rv  r   r  r7   r   rN  r<   r<   r=   test_antider_continuous  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 )NrB   r   rQ  r   re   r  rI  )	rH   rI   rJ   rv  r   r   r  r   r  )r5   r7   r   r  rk  r<   r<   r=   r    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 )
Nre   r   r,   r1   r   r   Fr  T)r   r   r  r   rH   rm   )r5   r   r7   rc   b1r<   r<   r=   test_integrate_extrap  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  )rH   rV   r   r  r   r  r   r  r  r<   r<   r=   r    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 )Nre   r   r@   rU   r  rI  )r   rH   r   r   r  r  )r5   r   r7   rc   rL  r<   r<   r=   test_antider_neg  s   

z"TestBPolyCalculus.test_antider_negN)rv   rw   rx   r  rE  rG  r  rO  rP  rR  r  rT  r  rU  r<   r<   r<   r=   r?  j  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 )	Nr6  rQ   r,   re   r   rR   r(  ffffff?)r   r   r  r  r   )r5   r7   r   rk  r  rp  r~  r<   r<   r=   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 rB  )
rH   rI   rJ   rv  r   r   r  r  r   r   )	r5   r  r  r7   r   rk  r  rp  r~  r<   r<   r=   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 )Nr6  rQ   re   rR   r,   r(  rW  )r   r   r  r  r   )r5   r7   r   r  rk  r  r~  r<   r<   r=   test_pp_from_bp  rY  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 )Nr6  rQ   re   rR   r,   )r   rW   	TypeErrorr  r   r  )r5   r7   r   rk  r  r<   r<   r=   test_broken_conversions)  s   



"z+TestPolyConversions.test_broken_conversionsN)rv   rw   rx   rX  rZ  r[  r]  r<   r<   r<   r=   rV    s
    rV  c                   @      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   re   r,   rQ   r1   r   r   _construct_from_derivativesr   )r5   r  r<   r<   r=   test_make_poly_17  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   re   r0   r0   r0   r,   rQ   )r1   rO  r0   )r1   g      r0   r`  r5   r  ro  c3r<   r<   r=   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   re   )re   r,   rQ   rR   )r0   竪?g@r  )rR   r,   rQ   )r0   gUUUUUU	@g
@r  r,   rQ   )r0   rg  r   r  r`  rd  r<   r<   r=   test_make_poly_3G  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 )Nr  r   rS   re   r  r|   r0   )	rH   rI   rJ   r   r   ra  r  r   r  )r5   yaybr   rk  r  r<   r<   r=   test_make_poly_12T  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 )	Nr  r   re   )r   rS   r,   rQ   rR   r   )rH   rI   rJ   r   _raise_degreer   r   )	r5   r7   r  rD  r   r  r  r  r~  r<   r<   r=   test_raise_degree_  s   

z*TestBPolyFromDerivatives.test_raise_degreec                 C   s   t ttjddgdg d S )Nr   re   rW   rX   r   r  r   r<   r<   r=   
test_xi_yil  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   re   r   rn  )r5   r"  r   r<   r<   r=   test_coords_ordero  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 )Nr  r   )rR   rQ   )r|   r(  r0   r)  gffffff?r1   r_   r|   )r   r  r   r   r  r  r   )r5   r"  r   rk  ppdr~  r<   r<   r=   
test_zerost  s   z#TestBPolyFromDerivatives.test_zerosc                    sJ   t jd t dd t|d D } fddt|d D }||fS )NrB   c                 S   s   g | ]}d |d  qS )r0   r,   r<   r   r  r<   r<   r=   
<listcomp>      z<TestBPolyFromDerivatives._make_random_mk.<locals>.<listcomp>re   c                    s   g | ]}t j qS r<   )rH   rI   rt  r  r<   r=   ru    rv  )rH   rI   rJ   r2  r  r5   r  r  r"  r   r<   rw  r=   _make_random_mk~  s   z(TestBPolyFromDerivatives._make_random_mkc                    s^   d\}}|  ||\}}t||}t|d D ] t|| fdd|D  | }qd S )NrS   r{  r,   c                    s   g | ]}|  qS r<   r<   )r   yyri  r<   r=   ru        z;TestBPolyFromDerivatives.test_random_12.<locals>.<listcomp>)ry  r   r  r  r   r  r5   r  r  r"  r   rk  r<   r|  r=   test_random_12  s   
z'TestBPolyFromDerivatives.test_random_12c                 C   s:   d\}}|  ||\}}tttjfi t||dd d S )Nrz  r   r"  r   orders)ry  rW   rX   r   r  r   rx  r<   r<   r=   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 )Nrz  r,   re   r  r  )ry  r   r  rW   rX   r   rx  r<   r<   r=   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 )	Nrz  rS   r  r,   re   rU   r  r  )	ry  r   r  r  r   r  r   rH   allclose)r5   r  r  r"  r   ri  rk  r  r<   r<   r=   test_orders_global  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)rf   r{  c                 S   s   g | ]}|d  qS )re   r<   )r   or<   r<   r=   ru    r}  z>TestBPolyFromDerivatives.test_orders_local.<locals>.<listcomp>re   rU   r  r,   r  )
ry  r  r  r   r  r   r  r   rH   r  )
r5   r  r  r"  r   r  r  r7   rk  r  r<   r<   r=   test_orders_local  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)rf   rS   re   r  rf   r   r,   )rH   rv  rI   r   r  r   r   r  r~  r<   r<   r=   test_yi_trailing_dims  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 )Nre   r   r  )rH   int32r   r  r   int64)r5   r  rE  r<   r<   r=   test_gh_5430  s   

z%TestBPolyFromDerivatives.test_gh_5430N)rv   rw   rx   rb  rf  rh  rk  rm  ro  rq  rs  ry  r  r  r  r  r  r  r  r<   r<   r<   r=   r_  6  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 )NrB   rR   rS   r   re   r  r   )	rH   rI   rJ   rh  r   r    r  r4   r   )r5   r   r7   r"  rE  v1v2r<   r<   r=   test_simple_1d  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 )NrB   rR   rS   r  rf   r   re   r   r,   r   r   ru  *   )Nr   r   r   re   )re   r   r,   rQ   )r   r,   r@  r  )rH   rI   rJ   rh  r   rW  rC  r   fillrl   r%   evaluate_ndr   rV   intcc_r4   _ppoly2d_evalr   r    r  )
r5   r   r7   r6   r"  r   r  r  rE  r  r<   r<   r=   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 )NrB   rR   rS   r  rf   r   r   r   re   r,   r}   rQ   (   )Nr   r   r   r   re   r   re   r   r   )r,   rQ   r   )r  r   r,   r@  r  )	rH   rI   rJ   rh  r   r    _ppoly3d_evalr   r  )r5   r   r7   r6   r8   r"  r   zirE  r  r  r  r<   r<   r=   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 )NrB   rR   rS   r  rf   r   r   r}   r   r   re   r,   rQ   r{  ru  )rH   rI   rJ   rh  r   r    _ppoly4d_evalr   )r5   r   r7   r6   r8   r;   r"  r   r  uirE  r  r  r<   r<   r=   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 )	NrB   rR   rS   r   re   r  r@  r,   )rH   rI   rJ   rh  r   r    r  r   r   r   r  )r5   r   r7   rE  r  rx  dp1r<   r<   r=   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 )NrB   rR   rS   r  rf   r   r   r   re   r,   r}   rQ   r@  r  )r   r   rQ   )rH   rI   rJ   rh  r   r    r   	transposer  r   r   r  )	r5   r   r7   r6   r8   rE  rx  r  r  r<   r<   r=   test_deriv_3dA  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)re   re   re   rQ   rR   rS   r   re   rR   rS   r,   r  rQ   )re   r   rR   )r   r,   r   ru  )	rH   r   r   r    r  rI   rh  r   r$   )
r5   r   r7   r6   r8   rE  r  r"  r   r  r<   r<   r=   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 )NrB   rR   rS   r?   r  r   re      r,   rQ   rU   r  )r   r/   )r  r  )r  r)  c                    s    | |fS r   r<   )r7   r6   rE  r<   r=   <lambda>  s    z/TestNdPPoly.test_integrate_2d.<locals>.<lambda>gh㈵>)epsrelepsabs)r   )r   r   r   )rH   rI   rJ   rh  r   r  r   r  rK   r%   fix_continuityr    r  r(   r   r   r  )	r5   r   r7   r6   cxrangesr  ig2err2r<   r  r=   test_integrate_2ds  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 )NrB   rR   rS   r  r?   r  r  r   re   r,      rQ   r   )r)  r  r   r  r  rp  )	rH   rI   rJ   rh  r   r    integrate_1dr  r   )r5   r   r7   r6   r8   rE  r;   r:   rb   rc   pxpaxpypaypzpazr<   r<   r=   test_integrate_1d  s$   
*
*
.zTestNdPPoly.test_integrate_1dN)rv   rw   rx   r  r  r  r  r  r  r  r  r  r<   r<   r<   r=   r    s    !r  c                    s   t t| jd f}t|D ]R\}}|dk s|dkr&t j||ddf< qt ||d ||  t| |  koD|d  k n   t fddt	 jd D }|||ddf< q|S )z&Evaluate piecewise polynomial manuallyr,   r   re   Nc                 3   s2    | ]} |f  j d  | d   V  qdS )r   re   N)r  r   r  r   rD  r  r<   r=   r     s    *z _ppoly_eval_1.<locals>.<genexpr>)
rH   r`   rC  r  r  rl   searchsortedr   sumr  )r   r7   xpsr5  r  r~  r  r<   r  r=   r    s   (r  c                    s   |d }|d }| j d }t |}t|}t|}||k||k@ }	|||	 < ||	}
t||
d dt|| |
| }tj	||d t
 fddtt|
D }|||	< ||_ |S )z4Evaluate piecewise polynomial manually (another way)r   rU   re   )Nc              	      s4   g | ]}t  |d d f d d | f qS r   )rH   r  r  Vindxsrk  r<   r=   ru    s   4 z!_ppoly_eval_2.<locals>.<listcomp>)r  rH   r4   
empty_likecompressr  cliprC  takevanderrV   r  )rD  breaksr   r  rb   rc   K	saveshaper  maskrL  r  valuesr<   r  r=   r    s$   





$r  c                 C   s:   |dk rt d||krdS t|| d || ||   S )z
    d^n (x**y) / dx^n
    r   zinvalid derivative orderre   )rX   r#   )r7   r6   r  r<   r<   r=   _dpow  s
   r  c              
   C   sn  |du rd}t jt|f| jd}| jdd \}}tt||D ]\}\}	}
|d d |	  kr9|d d krNn n|d d |
  krM|d d ksTn t j||< q!t |d |	d }t |d |
d }|	|d |  }|
|d |  }d}t	| jd D ].}t	| jd D ]$}|| || d || d ||f t
|||d  t
|||d  7 }qq|||< q!|S )z@
    Straightforward evaluation of 2-D piecewise polynomial
    Nr  r   r,   r   rU   re   rH   rW  rC  r   r  r  ziprl   r  r  r  )r   rF  r   ynewr  r5  nxnyjoutr7   r6   j1j2s1s2r  k1k2r<   r<   r=   r    s0   (&
 
r  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
    Nr  r   rQ   r   rU   re   r,   r  )r   rF  r   r  znewr  r5  r  r  nzr  r7   r6   r8   r  r  j3r  r  s3r  r  r  k3r<   r<   r=   r  	  s>   ((&
,
r  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   rR   r   rU   re   r,   rQ   r  )r   rF  r   r  r  unewr  r5  rs   rt   mzmur  r7   r6   r8   r;   r  r  r  j4r  r  r  s4r  r  r  r  k4r<   r<   r=   r  .	  sL   $(((&
8
	r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)S )*TestRegularGridInterpolatorc                 C   s   dgd }t g d}|d d t jt jt jf }|t jd d t jt jf }|t jt jd d t jf }|t jt jt jd d f }||d  |d  |d  }||fS )Nr|   r/   r0   rR   r}   r   r   rH   r2  newaxisr5   pointsr  values0values1values2values3r<   r<   r=   _get_sample_4d\	  s   
z*TestRegularGridInterpolator._get_sample_4dc                 C      dgd dgd  }t g d}|d d t jt jt jf }|t jd d t jt jf }|t jt jd d t jf }|t jt jt jd d f }||d  |d  |d  }||fS Nr  r,   )r|   rz   r{   r}   r   r   r  r  r<   r<   r=   _get_sample_4d_2g	  s   z,TestRegularGridInterpolator._get_sample_4d_2c                 C   st   |   \}}tg dg dg dg}dD ]!}t|| |d}|| }t|||d}||}t|| qd S )Nr(  r(  r0   r  r)  r(  g?g?r/   r/   r/   r/   r]   r   method)r  rH   r2  r   tolistr   )r5   r  r  sampler  r  r  r  r<   r<   r=   test_list_inputr	  s"   z+TestRegularGridInterpolator.test_list_inputc           
      C   s   |   \}}|d|  }tg dg dg dg}dD ],}t|||d}t||j|d}t||j|d}||}||d||  }	t||	 qd S )N               @r  r  r  r  r                ?)r  rH   r2  r   r   r!  r   )
r5   r  r  r  r  r  rinterpiinterpr  r  r<   r<   r=   r&  	  s&   z(TestRegularGridInterpolator.test_complexc                 C   s:   |   \}}t||}tg d}d}t||| d S )Nr(  r(  r{   r   H@r  r   rH   r2  r   r5   r  r  r  r  wantedr<   r<   r=   test_linear_xi1d	  s
   
z,TestRegularGridInterpolator.test_linear_xi1dc                 C   sR   |   \}}t||}tg dg dg dg}tg d}t||| d S )Nr  r  r  r  gq@g     \@r  r   rH   r2  r   r  r<   r<   r=   test_linear_xi3d	  s   
z,TestRegularGridInterpolator.test_linear_xi3dc                 C   s   |   \}}t||dd}tg d}d}t||| tg d}d}t||| tg d}d}t||| tg d}d	}t||| tg d
}d}t||| d S )Nr   r  )r(  r(  r  r  g     0@)r(  r(  r(  r(  r|   r|   r|   r|   r|   r0   r0   r0   r0        \@)r(  r|  r  r  g     |@r  r  r<   r<   r=   r   	  s"   z(TestRegularGridInterpolator.test_nearestc                 C   sL   |   \}}t||}tg dg dg}tddg}t||| d S )Nr  r  r|   r  r  r  r<   r<   r=   test_linear_edges	  s
   
z-TestRegularGridInterpolator.test_linear_edgesc                 C   s   ddg}t g d}|d d t jf }|t jd d f }||d  }ttt|| ddg}ttt|| ddg}ttt|| g d}ttt|| ddg}ttt||dd d S )	Nr  )r|   r0   r/   r}   )r  )r|   r/   rH  r0   )r  r  r  undefmethodr  )rH   r2  r  rW   rX   r   )r5   r  r  r  r  r<   r<   r=   test_valid_create	  s    

z-TestRegularGridInterpolator.test_valid_createc                 C   s   |   \}}t||}tg dg dg}tt||d tg dg dg}tt|| tg dg dg}tt|| d S )Nr  r  r  )r|   r|   r|   rc  )r0   r0   r0   r)  )r  r   rH   r2  rW   rX   )r5   r  r  r  r  r<   r<   r=   test_valid_call	  s   
z+TestRegularGridInterpolator.test_valid_callc                 C      |   \}}t||dd d}tg dg dg dg dg}tg d}t||dd	| tg d
}t||dd	| d S )NFri   rk   r(  r(  r(  r(  r)  r)  r)  r)  r@   r=  皙ir=  r=  r  r  )r|   r  r   r   r   r  )gfffff[gfffff@g     gr]   r  r  r<   r<   r=   test_out_of_bounds_extrap	     z5TestRegularGridInterpolator.test_out_of_bounds_extrapc                 C   r  )NFr  r  r  r  r  )r|   r   r   r   r   r  )g333333(g33333`@g     gyXr]   r  r  r<   r<   r=   test_out_of_bounds_extrap2	  r  z6TestRegularGridInterpolator.test_out_of_bounds_extrap2c                 C   s   |   \}}t||dtjd}tg dg dg dg}ttjtjtjg}t||dd| t||dd| tg d	g d
g dg}tg d}t||| d S )NFr  r  r  r  r   r  r]   r  r  r  r
  )r  r   rH   rl   r2  r   r  r<   r<   r=   test_out_of_bounds_fill	  s   z3TestRegularGridInterpolator.test_out_of_bounds_fillc                 C   s   |   \}}t||dd}tj| }dd |D }t|}|d}t||}tg dg dg dg}t|||| d S )	Nr   r  c                 S      g | ]}|qS r<   r<   r   rE  r<   r<   r=   ru  
      zJTestRegularGridInterpolator.test_nearest_compare_qhull.<locals>.<listcomp>rU   r  r  r  )	r  r   	itertoolsproductrH   r2  r   r   r   r5   r  r  r  points_qhullvalues_qhullinterp_qhullr  r<   r<   r=   test_nearest_compare_qhull	  s   



z6TestRegularGridInterpolator.test_nearest_compare_qhullc                 C   s~   |   \}}t||}tj| }dd |D }t|}|d}t||}tg dg dg dg}t|||| d S )Nc                 S   r  r<   r<   r   r<   r<   r=   ru  
  r!  zITestRegularGridInterpolator.test_linear_compare_qhull.<locals>.<listcomp>rU   r  r  r  )	r  r   r"  r#  rH   r2  r   r   r   r$  r<   r<   r=   test_linear_compare_qhull

  s   




z5TestRegularGridInterpolator.test_linear_compare_qhullc                 C   sz   t ddd}t ddd}td}dD ]&}t||f||d}|d	d
g}t||f|j|d}|d	d
g}t|| qd S )Nr   r,   rS   re   rf   rS   rf   r   r]   r  r|  r  )rH   r   MyValuer   _vr   )r5   r7   r6   r  r  r  r  r  r<   r<   r=   test_duck_typed_values
  s   
z2TestRegularGridInterpolator.test_duck_typed_valuesc                 C   sb   t jd t ddd}t ddd}t jdd}t||f|dd ttt||f|dd d S )	NrB   r   r,   rS   re   rf   rj   r  )rH   rI   rJ   r   rh  r   rW   rX   )r5   r7   r6   r  r<   r<   r=   test_invalid_fill_value&
  s   

z3TestRegularGridInterpolator.test_invalid_fill_valuec                 C   s:   t jddd}dd |jD }t|| t||dd d S )Nr  z>f4r   c                 S   s   g | ]}t |qS r<   )rH   ra   )r   r  r<   r<   r=   ru  6
  s    zCTestRegularGridInterpolator.test_fillvalue_type.<locals>.<listcomp>r|   rj   )rH   r   r  r   )r5   r  r  r<   r<   r=   test_fillvalue_type3
  s   
z/TestRegularGridInterpolator.test_fillvalue_typec                 C   s  t jd t jd}t jd}t ||}t t|t|}t t|t|}t ||\}}t |	 |	 fj
}tttfD ]D}|tt|||}||}	|||f}
||df}|||}||d}t|	j|
j  ko|j  ko|j  ko|jkn  d qEd S )Nr   r}   r|   T)rH   rI   rJ   hypotr   minmaxmeshgridr[  r4   r\  r   r   r"   r  r  r   r  )r5   r7   r6   r8   XYXYinterpolatorr  interp_points0interp_points1interp_points2interp_points3interp_points4r<   r<   r=   test_broadcastable_input;
  s:   

z4TestRegularGridInterpolator.test_broadcastable_inputc                 C   s   t jd t jd}|d d df |d d df }}t ||}t jd}|jdd |jdd |jdd tttfD ]}|||}|| q@d S )Nr   r~   re   )r+  r,   F)write)rH   rI   rJ   r1  setflagsr   r   r"   )r5   xyr7   r6   r8   r7  r8  r  r<   r<   r=   r=  Z
  s   "

z*TestRegularGridInterpolator.test_read_onlyN)rv   rw   rx   r  r  r  r&  r	  r  r   r  r  r  r  r  r  r(  r)  r.  r/  r0  r>  r=  r<   r<   r<   r=   r  [	  s*    
r  c                   @   s0   e Zd ZdZdd Zdd Zdd Zdd	 Zd
S )r,  z"
    Minimal indexable object
    c                 C   s(   d| _ || _tt||| _d S )Nr,   )r  r  rH   ra   r  r   r-  )r5   r  r<   r<   r=   __init__s
  s   zMyValue.__init__c                 C   s
   | j | S r   )r-  )r5   idxr<   r<   r=   __getitem__x
  s   
zMyValue.__getitem__c                 C   s   d S r   r<   r   r<   r<   r=   __array_interface__{
  s   zMyValue.__array_interface__c                 C   s   t d)NzNo array representation)RuntimeErrorr   r<   r<   r=   	__array__~
  s   zMyValue.__array__N)rv   rw   rx   __doc__rB  rD  rE  rG  r<   r<   r<   r=   r,  n
  s    r,  c                   @   r^  )"TestInterpNc                 C   sf   t dd}t g d}t dd}t g d}t g dg dg dg dg dg}|||fS )Nre   r  r/   r1   r   r  rL  re   r,   re   r,   re   re   r,   rQ   r,   re   re   r,   r,   r,   re   )rH   ra   rV   )r5   r7   r6   r8   r<   r<   r=   _sample_2d_data
  s   
zTestInterpN._sample_2d_datac                 C   sp   |   \}}}t|||}tg dg dgj}tt||f||dd||d d df |d d df  d S )Nre   ffffff@rT   r/   ffffff
@r   rQ   re   rQ  r   r  rz   r0   rQ   	splinef2dr  r   re   )rN  r   rH   rV   r\  r   r   ev)r5   r7   r6   r8   lutr"  r<   r<   r=   test_spline_2d
  s   
"zTestInterpN.test_spline_2dc                 C   sz   |   \}}}tg dg dgj}dD ]%}t||f|||d}t| | f| | |d}t|||d qd S )NrO  rR  r   r]   rS  r  r  )rN  rH   rV   r\  r   r  r   )r5   r7   r6   r8   r"  r  r  r  r<   r<   r=   r  
  s   
zTestInterpN.test_list_inputc              
   C   s   t g d}t g d}t g dg dg dg dg dg}t|||}t g dg dgj}t||f||ddd	d
}||d d df |d d df }d	|dd< t|| ttt||f||ddd d
 d S )NrJ  rK  rL  rM  )re   rP  g333333@r/   rQ  r   rQ   )re   rQ  r   g      rz   r0   rQ   rS  FR?@r  ri   rk   r   re   r,   rR   )	rH   rV   r   r\  r   rT  r   rW   rX   )r5   r7   r6   r8   rU  r"  actualr  r<   r<   r=   test_spline_2d_outofbounds
  s(   
$

z&TestInterpN.test_spline_2d_outofboundsc                 C   r  r  r  r  r<   r<   r=   _sample_4d_data
  s   zTestInterpN._sample_4d_datac                 C   sH   |   \}}t||}tg dg}t|||dd}t||| d S )Nr  r]   r  r\  r   rH   r2  r   r   r5   r  r  	interp_rgr  r  r<   r<   r=   test_linear_4d
  s
   
zTestInterpN.test_linear_4dc                 C   B   |   \}}tg dg}d}t|||dddd}t|| d S )Nr(  r(  g333333$@r   rX  r]   FrY  r\  rH   r2  r   r   r5   r  r  r  r  rZ  r<   r<   r=   test_4d_linear_outofbounds
     
z&TestInterpN.test_4d_linear_outofboundsc                 C   sL   |   \}}t||dd}tg dg}t|||dd}t||| d S )Nr   r  r  r]  r^  r<   r<   r=   test_nearest_4d
  s
   zTestInterpN.test_nearest_4dc                 C   ra  )Nrb  rX  r   FrY  rc  rd  r<   r<   r=   test_4d_nearest_outofbounds
  rf  z'TestInterpN.test_4d_nearest_outofboundsc                 C   sT   |   \}}tg d}t|||dd}t|||d d d f dd}t|| d S )Nr  Frh   )r\  rH   r2  r   r   r5   r  r  r  r  r  r<   r<   r=   
test_xi_1d
  s
   zTestInterpN.test_xi_1dc                 C   sv   |   \}}tjd tjddd}t|||ddd}t|jd t|||d	dddd}t	|||j d S )
NrB   r,   rQ   rR   r   Fr  ri   r  rU   )
r\  rH   rI   rJ   rh  r   r   r  r   r   ri  r<   r<   r=   
test_xi_nd
  s   
zTestInterpN.test_xi_ndc                 C   s   |   \}}}||f}tddd}tddd}dD ]H}|d d d f |d d d f f}t||||dd}	t|	jd t||\}
}tj|
j	 |j	 f }t||||dd}t
|	||	j qd S )	Nr   re   r,   rQ   rW  Frk  r  )rN  rH   r   r   r   r  r4  r  r\  r4   r   r   )r5   r7   r6   r  r  r"  r   r  r  r  rL  r{  r  r<   r<   r=   test_xi_broadcast
  s"    
zTestInterpN.test_xi_broadcastc                    s   |   \tjd tjdddddtjddddD ]2 t dd	}t|jd
 d  fddtdD }t	|
ddd}t|| d q tttdd d S )NrB   rQ   r  rf   r   rR   r+  Frk  )rf   r   r  r  c              	      s&   g | ]}t d |f  ddqS ).Frk  )r   rt  r  r  r  r  r<   r=   ru    s
    
z5TestInterpN.test_nonscalar_values.<locals>.<listcomp>re   r,   r   rS  r  )r\  rH   rI   rJ   rh  r   r   r  r  rV   r  r   rW   rX   )r5   r:   vsr  r<   rn  r=   test_nonscalar_values  s"   

z!TestInterpN.test_nonscalar_valuesc                 C   s   |   \}}}||f}|d|  }tg dg dgj}dD ]'}t||||d}t||j||d}t||j||d}	|d|	  }
t||
 qttj	t|||dd d S )Nr   rO  rR  r  r  r  rS  )
rN  rH   rV   r\  r   r   r!  r   r   ComplexWarning)r5   r7   r6   r  r  r  r  r  v2rv2ir  r<   r<   r=   r&  #  s"   

zTestInterpN.test_complexc                 C   sn   t ddd}t ddd}td}dD ] }t||f|dd	g|d
}t||f|jdd	g|d
}t|| qd S )Nr   r,   rS   re   rf   r*  r+  r|  r  r  )rH   r   r,  r   r-  r   )r5   r7   r6   r  r  r  r  r<   r<   r=   r.  6  s   z"TestInterpN.test_duck_typed_valuesc                 C   s   t ddd}t ddd}tt jdd}t jddd}dD ]}t||f|||d}t||ft |||d}t|| q!d S )	Nr   r,   rS   re   rf   rQ   rW  r  )rH   r   r*   rI   rh  r   r2  r   )r5   r7   r6   r  r  r  r  r  r<   r<   r=   test_matrix_inputA  s   zTestInterpN.test_matrix_inputN)rv   rw   rx   rN  rV  r  r[  r\  r`  re  rg  rh  rj  rl  rm  rp  r&  r.  rt  r<   r<   r<   r=   rI  
  s"    		
		rI  r   )Jr"  numpy.testingr   r   r   r   r   r   r   r?  r	   rW   numpyr
   r   r   r   r   r   rH   scipy.interpolater   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   scipy.specialr#   r$   r%   scipy._lib._gcutilsr&   r'   scipy.integrater(   r)   scipy.sparse._sputilsr*   r+   ry   rB  rJ  rd  r  r  r/  r?  rV  r_  r  r  rl   r  r  r  r  r  r  r,  rI  r<   r<   r<   r=   <module>   sb    $ TQ     
J /   h  1 $ W

$
(-  