a
    h                     @   s,  d dl Z d dlZd dlZd dl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mZmZmZmZmZmZ dd i fddZg dZdd	 Zd
d Zdd Zdd Z G dd dZ!G dd dZ"G dd dZ#G dd dZ$G dd dZ%dd Z&dd Z'dd Z(G d d! d!Z)dS )"    N)assert_almost_equalassert_array_equalassert_array_almost_equalassert_allcloseassert_equalassert_)raises)KroghInterpolatorkrogh_interpolateBarycentricInterpolatorbarycentric_interpolateapproximate_taylor_polynomialCubicHermiteSplinepchipPchipInterpolatorpchip_interpolateAkima1DInterpolatorCubicSplinemake_interp_splinec                 C   s  t jd g d}ttdt|d }||t|d  d t jjd|  |}t 	|}	| t
u rt jjd|  |}
| |||
fd|i||	}n| ||fd|i||	}|pd|jd |  | |j|d  dd   }t|j| |rd|jdkrd| t
u r>| t|t|t|
fd|i|t|	 n&| t|t|fd|i|t|	 |	jdkr|d u r|jd | dt|  |j|d  dd   }|td f||j  d  }||}t ||\}}t|| d S )	N  )r               r   r      axis r   )nprandomseedlistrangeleninsertZrand	transposezerosr   shaper   sizeslicendimreshapeZbroadcast_arraysr   )Zinterpolator_clsZx_shapeZy_shapederiv_shaper   
extra_argsxsyxidydxyiZtarget_shapeZbs_shapeZyvr   r   `/var/www/html/assistant/venv/lib/python3.9/site-packages/scipy/interpolate/tests/test_polyint.pycheck_shape   sD    

0
r7   )r   )r   r   )r   r      c                  C   s   dd } t ttttt| fD ]p}tD ]f}tD ]\}tt| t|D ]B}|tkr`t	|||d | qBdD ]}d|i}t	|||d || qdqBq*q"qd S )Nc                 S   s   t | ||dS Nr   )r   r0   r2   r   r   r   r6   
spl_interp?   s    ztest_shapes.<locals>.spl_interp)naturalclampedbc_type)
r	   r   r   r   r   r   SHAPESr$   r%   r7   )r<   ips1s2r   bcextrar   r   r6   test_shapes=   s    rF   c               
      s^   t tfD ]P d fdd	} tD ]8}tD ].}tt| t|D ]}t| ||d| q>q&qqd S )Nr   c                    s    | ||j S Nderivativesr;   rA   r   r6   interpolator_derivsP   s    z/test_derivs_shapes.<locals>.interpolator_derivsr   )r   )r	   r   r@   r$   r%   r7   )rK   rB   rC   r   r   rJ   r6   test_derivs_shapesN   s    rL   c                  C   s   ddd} ddd}ddd}d dd	}d!d
d}d"dd}d#dd}d$dd}d%dd}d&dd}	d'dd}
d(dd}d)dd}| |||||||||	|
||fD ]B}t D ]8}t D ].}tt| t|D ]}t|||d| qqqqd S )*Nr   c                 S   s   t | ||jS rG   )r	   
derivativer;   r   r   r6   krogh_derivZ   s    z&test_deriv_shapes.<locals>.krogh_derivc                 S   s   t | ||jS rG   )r   rM   r;   r   r   r6   
bary_deriv]   s    z%test_deriv_shapes.<locals>.bary_derivc                 S   s   t | || S rG   r   rM   r;   r   r   r6   pchip_deriv`   s    z&test_deriv_shapes.<locals>.pchip_derivc                 S   s   t | ||dS Nr   rP   r;   r   r   r6   pchip_deriv2c   s    z'test_deriv_shapes.<locals>.pchip_deriv2c                 S   s   t | || S rG   r   antiderivativer;   r   r   r6   pchip_antiderivf   s    z*test_deriv_shapes.<locals>.pchip_antiderivc                 S   s   t | ||dS rR   rT   r;   r   r   r6   pchip_antideriv2i   s    z+test_deriv_shapes.<locals>.pchip_antideriv2c                 S   s   G dd dt }|| ||S )Nc                   @   s   e Zd Zdd ZdS )z9test_deriv_shapes.<locals>.pchip_deriv_inplace.<locals>.Pc                 S   s   t | |dS )Nr   )r   __call__)selfr0   r   r   r6   rX   n   s    zBtest_deriv_shapes.<locals>.pchip_deriv_inplace.<locals>.P.__call__N)__name__
__module____qualname__rX   r   r   r   r6   Pm   s   r]   )r   )r0   r2   r   r]   r   r   r6   pchip_deriv_inplacel   s    z.test_deriv_shapes.<locals>.pchip_deriv_inplacec                 S   s   t | || S rG   )r   rM   r;   r   r   r6   akima_derivs   s    z&test_deriv_shapes.<locals>.akima_derivc                 S   s   t | || S rG   )r   rU   r;   r   r   r6   akima_antiderivv   s    z*test_deriv_shapes.<locals>.akima_antiderivc                 S   s   t | || S rG   )r   rM   r;   r   r   r6   cspline_derivy   s    z(test_deriv_shapes.<locals>.cspline_derivc                 S   s   t | || S rG   )r   rU   r;   r   r   r6   cspline_antideriv|   s    z,test_deriv_shapes.<locals>.cspline_antiderivc                 S   s   t | ||d S r9   )r   rM   r;   r   r   r6   
bspl_deriv   s    z%test_deriv_shapes.<locals>.bspl_derivc                 S   s   t | ||d S r9   )r   rU   r;   r   r   r6   bspl_antideriv   s    z)test_deriv_shapes.<locals>.bspl_antiderivr   )r   )r   )r   )r   )r   )r   )r   )r   )r   )r   )r   )r   )r   )r@   r$   r%   r7   )rN   rO   rQ   rS   rV   rW   r^   r_   r`   ra   rb   rc   rd   rA   rB   rC   r   r   r   r6   test_deriv_shapesY   s*    













re   c                  C   sn   g d} g d}t ttfD ]}|| |}t|||  qg d}t| ||}t|||  t||| d d S )Nr   r   r   r   )r   r                 ?r   )r   y             r   y              @r   )r	   r   r   r   r   )r0   r2   rA   pr4   r   r   r6   test_complex   s    
ri   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+S ),	TestKroghc                 C   sD   t jg d| _t ddd| _t ddd| _| | j| _d S N)r8   r   r   r   r   d   r8   r    
polynomial
Polynomial	true_polylinspacetest_xsxsysrY   r   r   r6   setup_method   s    zTestKrogh.setup_methodc                 C   s*   t | j| j}t| | j|| j d S rG   r	   ru   rv   r   rr   rt   rY   r]   r   r   r6   test_lagrange   s    zTestKrogh.test_lagrangec                 C   sF   t | j| j}t| d|d t| td|td d S N   )r	   ru   rv   r   rr   r    arrayrz   r   r   r6   test_scalar   s    zTestKrogh.test_scalarc                 C   sN   t | j| j}|| j}t|jd D ] }t| j	|| j||  q(d S Nr   )
r	   ru   rv   rI   rt   r$   r)   r   rr   derivrY   r]   Dir   r   r6   test_derivatives   s    zTestKrogh.test_derivativesc                 C   sZ   t | j| j}|| jt| jd }t|jd D ] }t| j	
|| j||  q4d S )Nr   r   )r	   ru   rv   rI   rt   r%   r$   r)   r   rr   r   r   r   r   r6   test_low_derivatives   s    zTestKrogh.test_low_derivativesc                 C   sJ   t | j| j}d}|| j|}t|D ]}t|| j|||  q(d S N
   )r	   ru   rv   rI   rt   r$   r   rM   rY   r]   mrr   r   r   r6   test_derivative   s
    zTestKrogh.test_derivativec                 C   sR   t | j| j}tt| jdt| j D ]$}t|| j|t	t| j q(d S rR   )
r	   ru   rv   r$   r%   r   rM   rt   r    r(   rY   r]   r   r   r   r6   test_high_derivative   s
    zTestKrogh.test_high_derivativec              	   C   s   | j }tjg d}tjg d}tj|| j|| j|| jfdd}t| j|dd}|| j}t	|j
d D ]F}t|| tj||| j||| j||| jfdd qvd S Nrm   r8   r   r      r   r   r   r:   r   )rr   r    rp   rq   stackru   r	   rI   rt   r$   r)   r   r   rY   poly1poly2poly3rv   r]   r   r   r   r   r6   test_ndim_derivatives   s    &zTestKrogh.test_ndim_derivativesc              	   C   s   | j }tjg d}tjg d}tj|| j|| j|| jfdd}t| j|dd}t|jD ]L}t	|
| j|tj||| j||| j||| jfdd qfd S r   )rr   r    rp   rq   r   ru   r	   r$   nr   rM   rt   r   rY   r   r   r   rv   r]   r   r   r   r6   test_ndim_derivative   s    &zTestKrogh.test_ndim_derivativec                 C   s*   t | j| j}t| | j|| j d S rG   ry   rz   r   r   r6   test_hermite   s    zTestKrogh.test_hermitec              	      s   g dt ddgddgddggt}fddtjd D }t ddd	 t| t  fd
d|D j t|	 t 
t  fdd|D d d S )Nr   r   r   r   r   r   c                    s"   g | ]}t  d d |f qS rG   )r	   .0r   )ru   rv   r   r6   
<listcomp>       z)TestKrogh.test_vector.<locals>.<listcomp>r   r   rn   c                    s   g | ]}| qS r   r   r   rh   rt   r   r6   r      r   c                    s   g | ]}|  qS r   rH   r   r   r   r6   r      r   )r   r   r   )r    r~   r	   r$   r)   rs   r   asarrayTrI   r'   rY   r]   Pir   )rt   ru   rv   r6   test_vector   s    

zTestKrogh.test_vectorc                 C   s    t | j| j}t|g g  d S rG   )r	   ru   rv   r   rz   r   r   r6   
test_empty   s    zTestKrogh.test_emptyc                 C   sn   t | j| j}tt|dd tt|tdd tt|dgd tt|ddgd d S Nr   r   r   r   )r   )r	   ru   rv   r   r    r)   r~   rz   r   r   r6   test_shapes_scalarvalue   s
    z!TestKrogh.test_shapes_scalarvaluec                 C   s   t | j| j}|j}tt|d|f tt|td|f tt|dg|df tt|ddg|df d S Nr   r   r   )	r	   ru   rv   r   r   r    r)   rI   r~   rY   r]   r   r   r   r6   "test_shapes_scalarvalue_derivative   s    z,TestKrogh.test_shapes_scalarvalue_derivativec                 C   sb   t | jt| jtd}tt|dd tt|dgd tt|ddgd d S Nr   r   )r   )r   r   r   )r   r   )r	   ru   r    outerrv   aranger   r)   rz   r   r   r6   test_shapes_vectorvalue  s    z!TestKrogh.test_shapes_vectorvaluec                 C   s^   t | jt| jdg}tt|dd tt|dgd tt|ddgd d S Nr   r   r   )r   r   )r   r   )r	   ru   r    r   rv   r   r)   rz   r   r   r6   test_shapes_1d_vectorvalue  s    z$TestKrogh.test_shapes_1d_vectorvaluec                 C   s~   t | jt| jtd}|j}tt|	d|df tt|	dg|ddf tt|	ddg|ddf d S Nr   r   r   r   )
r	   ru   r    r   rv   r   r   r   r)   rI   r   r   r   r6   "test_shapes_vectorvalue_derivative  s
    z,TestKrogh.test_shapes_vectorvalue_derivativec                 C   s   t | j| j}t}t|| j|| j| j| j t|| jd|| j| j| jdd t|| jd|| j| j| jddgd d S Nr   Zderr   r   )r	   ru   rv   r
   r   rt   rM   rI   )rY   r]   Zkir   r   r6   test_wrapper  s    zTestKrogh.test_wrapperc                 C   sJ   g d}t g d}t||}tt||| ||d ddd d S )N)r      i  i  i  i  i|  i$	  i  i  i   i03  i`  )gffffffg닥ąg䑉g!p$ЀgV0޿gx*ZֿgDпg2]g H.g9Cg6D.gG/g?r   r   g|=atol)r    r~   r	   r   absrM   )rY   r0   Z
offset_cdffr   r   r6   test_int_inputs#  s    
zTestKrogh.test_int_inputsc                 C   sl   t g dt g d }}t||}|d}t||jddt||jd  }t||dd d S )N)r   r   r   r   r   )r   rg   r   r   rg   r   rg   V瞯<r   )r    r~   r	   rI   realimagr   )rY   r0   r2   funcZcmplxZcmplx2r   r   r6   test_derivatives_complex0  s    

z"TestKrogh.test_derivatives_complexc                 C   sH   t jtdd& ttdtd W d    n1 s:0    Y  d S )Nz40 degrees provided,match(   )pytestZwarnsUserWarningr	   r    r   Zonesrw   r   r   r6   test_high_degree_warning:  s    z"TestKrogh.test_high_degree_warningN)rZ   r[   r\   rx   r{   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r6   rj      s*   	
rj   c                   @   s   e Zd Zdd ZdS )
TestTaylorc                 C   sP   d}t tjd|dd}t|d D ]}t|dd | }q"t|dd d S )Nr8   r   r      )r   r    expr$   r   r   )rY   Zdegreerh   r   r   r   r6   test_exponential@  s    
zTestTaylor.test_exponentialN)rZ   r[   r\   r   r   r   r   r6   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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-S ).TestBarycentricc                 C   sD   t jg d| _t ddd| _t ddd| _| | j| _d S rk   ro   rw   r   r   r6   rx   J  s    zTestBarycentric.setup_methodc                 C   s*   t | j| j}t|| j| | j d S rG   )r   ru   rv   r   rt   rr   rz   r   r   r6   r{   P  s    zTestBarycentric.test_lagrangec                 C   sF   t | j| j}t|d| d t|td| td d S r|   )r   ru   rv   r   rr   r    r~   rz   r   r   r6   r   T  s    zTestBarycentric.test_scalarc                 C   sN   t | j| j}|| j}t|jd D ] }t| j	|| j||  q(d S r   )
r   ru   rv   rI   rt   r$   r)   r   rr   r   r   r   r   r6   r   Y  s    z TestBarycentric.test_derivativesc                 C   s^   t | j| j}|| jt| jd }t|jd D ]$}t| j	
|| j|| dd q4d S )Nr   r   -q=r   )r   ru   rv   rI   rt   r%   r$   r)   r   rr   r   r   r   r   r6   r   _  s    z$TestBarycentric.test_low_derivativesc                 C   sJ   t | j| j}d}|| j|}t|D ]}t|| j|||  q(d S r   )r   ru   rv   rI   rt   r$   r   rM   r   r   r   r6   r   g  s
    zTestBarycentric.test_derivativec                 C   sR   t | j| j}tt| jdt| j D ]$}t|| j|t	t| j q(d S )Nr8   )
r   ru   rv   r$   r%   r   rM   rt   r    r(   r   r   r   r6   r   n  s
    z$TestBarycentric.test_high_derivativec              	   C   s   | j }tjg d}tjg d}tj|| j|| j|| jfdd}t| j|dd}|| j}t	|j
d D ]J}t|| tj||| j||| j||| jfdddd qvd S Nr   r   r   r:   r   r   r   )rr   r    rp   rq   r   ru   r   rI   rt   r$   r)   r   r   r   r   r   r6   r   t  s     &z%TestBarycentric.test_ndim_derivativesc              	   C   s   | j }tjg d}tjg d}tj|| j|| j|| jfdd}t| j|dd}t|jD ]P}t	|
| j|tj||| j||| j||| jfdddd qfd S r   )rr   r    rp   rq   r   ru   r   r$   r   r   rM   rt   r   r   r   r   r6   r     s    &z$TestBarycentric.test_ndim_derivativec                 C   s2   t | j}|| j t| | j|| j d S rG   )r   ru   Zset_yirv   r   rr   rt   rz   r   r   r6   test_delayed  s    
zTestBarycentric.test_delayedc                 C   sZ   t | jd d | jd d }|| jdd  | jdd   t| | j|| j d S )Nr   )r   ru   rv   Zadd_xir   rr   rt   rz   r   r   r6   test_append  s     zTestBarycentric.test_appendc                    s   g dt ddgddgddggt  } fddtjd D }t ddd	t|t fd
d|D j d S )Nr   r   r   r   c                    s"   g | ]} d d |f qS rG   r   r   )BIru   rv   r   r6   r     r   z/TestBarycentric.test_vector.<locals>.<listcomp>r   r   rn   c                    s   g | ]}| qS r   r   r   r   r   r6   r     r   )	r    r~   r   r$   r)   rs   r   r   r   r   r   )r   rt   ru   rv   r6   r     s    
 zTestBarycentric.test_vectorc                 C   sn   t | j| j}tt|dd tt|tdd tt|dgd tt|ddgd d S r   )r   ru   rv   r   r    r)   r~   rz   r   r   r6   r     s
    z'TestBarycentric.test_shapes_scalarvaluec                 C   s   t | j| j}|j}tt|d|f tt|td|f tt|dg|df tt|ddg|df d S r   )	r   ru   rv   r   r   r    r)   rI   r~   r   r   r   r6   r     s    z2TestBarycentric.test_shapes_scalarvalue_derivativec                 C   sb   t | jt| jtd}tt|dd tt|dgd tt|ddgd d S r   )r   ru   r    r   rv   r   r   r)   rz   r   r   r6   r     s    z'TestBarycentric.test_shapes_vectorvaluec                 C   s^   t | jt| jdg}tt|dd tt|dgd tt|ddgd d S r   )r   ru   r    r   rv   r   r)   rz   r   r   r6   r     s    z*TestBarycentric.test_shapes_1d_vectorvaluec                 C   s~   t | jt| jtd}|j}tt|	d|df tt|	dg|ddf tt|	ddg|ddf d S r   )
r   ru   r    r   rv   r   r   r   r)   rI   r   r   r   r6   r     s
    z2TestBarycentric.test_shapes_vectorvalue_derivativec                 C   s   t | j| j}t}t|| j|| j| j| j t|| jd|| j| j| jdd t|| jd|| j| j| jddgd d S r   )r   ru   rv   r   r   rt   rM   rI   )rY   r]   Zbir   r   r6   r     s    zTestBarycentric.test_wrapperc                 C   s6   dt dd }t dd}t||d}t|d d S )Ni  r      g     @g      #@)r    r   r   r   )rY   r0   r2   valuer   r   r6   test_int_input  s    zTestBarycentric.test_int_inputc                 C   s   d}t |d t j}t |t j | }d| }|d  d9  < |d  d9  < t|}|jd }t|jd|  | d S )NiL  r   r   r         ?r   )	r    r   ZastypeZfloat64cospir   Zwir   )rY   r   jr0   wr]   factorr   r   r6   test_large_chebyshev  s    	
z$TestBarycentric.test_large_chebyshevc                 C   s\   t ddgddg}tjdd ||j}W d    n1 s>0    Y  t||j  d S )Nr   r   r   raise)divide)r   r    Zerrstater3   r   r5   Zravel)rY   r]   r5   r   r   r6   test_warning  s    (zTestBarycentric.test_warningc                 C   sX   t g d}t g d}tjtdd t|| W d    n1 sJ0    Y  d S )N)皙?r   ?r   rf   z)Interpolation points xi must be distinct.r   )r    r~   r   r   
ValueErrorr   )rY   Zxisrv   r   r   r6   test_repeated_node  s    z"TestBarycentric.test_repeated_nodeN)rZ   r[   r\   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   r6   r   I  s,   
	r   c                   @   s^   e Zd Zd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 )	TestPCHIP   c                 C   s:   t jd t t j|}t j|}t||||fS )Nr   )r    r!   r"   sortr   )rY   Znptsr3   r5   r   r   r6   _make_random  s    zTestPCHIP._make_randomc                 C   s   |   \}}}tt|d D ]x}|| ||d   }}|| ||d   }}||kr`|| }}t||d}	||	}
t||
d k|
|d k@   qd S )Nr   r   r   r   r$   r%   r    rs   r   allrY   rh   r3   r5   r   x1Zx2y1y2ZxpZypr   r   r6   test_overshoot  s    
zTestPCHIP.test_overshootc                 C   s   |   \}}}tt|d D ]r}|| ||d   }}|| ||d   }}t||d}	||	}
t|| |
dd  |
d d   dk  qd S )Nr   r   r   r   r   r   r   r6   test_monotone  s    zTestPCHIP.test_monotonec                 C   sh   t g dg dg}t d}t|d |d |}|d }t|d |d |}t||ddd d S )	N)
r   r   r      /   <   O   W   c   rn   )
r   irm   r      &   -   5   7   rn   r   r         ?+=)r   rtol)r    r~   r   r   r   )rY   dataxxZcurveZdata1Zcurve1r   r   r6   	test_cast#  s    

zTestPCHIP.test_castc                 C   sz   d}t t|}t|d d df |d d df }d}t t|}t|d d df ||d d df ddd d S )Na  
          7.99   0.00000E+0
          8.09   0.27643E-4
          8.19   0.43750E-1
          8.70   0.16918E+0
          9.20   0.46943E+0
         10.00   0.94374E+0
         12.00   0.99864E+0
         15.00   0.99992E+0
         20.00   0.99999E+0
        r   r   a^  
           7.9900       0.0000
           9.1910       0.4640
          10.3920       0.9645
          11.5930       0.9965
          12.7940       0.9992
          13.9950       0.9998
          15.1960       0.9999
          16.3970       1.0000
          17.5980       1.0000
          18.7990       1.0000
          20.0000       1.0000
                g-C6
?r  r   )r    ZloadtxtioStringIOr   r   )rY   ZdataStrr  pchZ	resultStrresultr   r   r6   test_nag/  s    "zTestPCHIP.test_nagc                 C   sp   t g d}t g d}t g d}t||t||fD ],}|d |d fD ]}t||ddk qRq>d S )N)r  r   g      ?gffffff?)皙uq@g     @@     @@     @)r  r  g     p@r  r   r   r   )r    r~   r   r   )rY   r0   r   r   pptr   r   r6   test_endslopesR  s    zTestPCHIP.test_endslopesc                 C   sp   t d}t |}t $ td t||}W d    n1 sF0    Y  t ddd}t||d d S )Nr   errorr   	   e   r  )	r    r   Z
zeros_likewarningscatch_warningsfilterwarningsr   rs   r   )rY   r0   r2   r
  r  r   r   r6   test_all_zeros\  s    



(zTestPCHIP.test_all_zerosc                 C   s:   t ddd}tddgddg}t||d| dd d S )Nr   r   r   r   r   r   )r    rs   r   r   )rY   r0   rh   r   r   r6   test_two_pointsh  s    zTestPCHIP.test_two_pointsc                 C   st   t tg dg ddgdddg t tg dg ddgdddg t tg dg ddgddgddgdgg d S )	Nr   r   r   )r   r8   r   r   r   r   r   r   g      @)r   r   rw   r   r   r6   test_pchip_interpolateq  s    
z TestPCHIP.test_pchip_interpolatec                 C   s(   t ddgddg}| }t|d d S )Nr   r   r   r   )r   rootsr   )rY   rh   r   r   r   r6   
test_roots~  s    zTestPCHIP.test_rootsN)r   )rZ   r[   r\   r   r   r   r  r  r  r  r  r  r  r   r   r   r6   r     s   

#
	r   c                   @   sj   e Zd ZedddZdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd ZdS )TestCubicSpline
not-a-knotr  c                 C   s  | j }| j}t|}||jd gdg|jd   }|dd }t|dddf |dddf |d  |dddf |d   |dddf |  |dddf  ||d t|dddf d|dddf  |d  d|dddf  |  |dddf  ||d t|dddf d|dddf  | |dddf  ||d |jdkr|dkr|dkrt|d d||d dS |d	krt| |d d| |d d||d t| |d d| |d d||d t| |d d| |d d||d dS |dkrj|jdkrP| |d | |d  |d  }t| |d d|||d nt|d
 |d ||d nn|dkrt| |d dd||d nH|dkrt| |d dd||d n"|\}	}
t| |d |	|
||d |dkrD|jdkr*| |d | |d  |d  }t| |d d|||d nt|d |d ||d nv|dkrjt| |d dd||d nP|dkrt| |d ddd| d| d n"|\}	}
t| |d |	|
||d dS )zVCheck that spline coefficients satisfy the continuity and boundary
        conditions.r   r   r   Nr   r   r  r   periodic)r   r   )r   r   r>   r=   )r   r   )r   rm   )	r0   cr    diffr-   r)   r,   r   r*   )Sbc_startbc_endtolr0   r"  ZdxZdxiZslopeorderr   r   r   r6   check_correctness  sh    
">*6 
$$$
 


 

$z!TestCubicSpline.check_correctnessc                 C   s   t |j}||= t|}|d t|}|d dddd|fd|fg}|d d D ]"}t||||d}	| |	|| qZ|D ]4}
|D ]*}t||||
|fd}	| j|	|
|d	d
 qqd S )Nr   r   r   r=   r>   r   r   r   r?   g+=r'  )r#   r)   r    emptyfillr   r)  )rY   r0   r2   r   r.   Zfirst_derivZsecond_derivZbc_allrD   r$  r%  r&  r   r   r6   check_all_bc  s&    




zTestCubicSpline.check_all_bcc                 C   s   t g d}t g d}dd|jfD ]}| |d | |d | d t d|df}|d | |dd d df< |d | d |dd d df< |d | d |dd d df< |d | d |dd d df< | |d | |d q(d S )N)r   r   r   r   r   g      @g      @r  )r   g      r   r   g      @r   r   r   r   r   r   r   )r    r~   r*   r.  r,  )rY   r0   r2   r   Yr   r   r6   test_general  s    zTestCubicSpline.test_generalc                 C   s   dD ]}t ddt j |}t |}t||dd}| |dd t d|df}||dd d df< |d |dd d df< |d |dd d df< |d |dd d df< t||ddd}| |dd qd S )	N)r   r   r8   r   r   r!  r?   r   r8   r*  )r    rs   r   r   r   r)  r,  )rY   r   r0   r2   r$  r/  r   r   r6   test_periodic  s    
zTestCubicSpline.test_periodicc                 C   sP   t ddt j d}t |}t||dd}t|d|ddt j  dd d S )	Nr   r   r   r!  r1  r   r   )decimal)r    rs   r   r   r   r   rY   r0   r2   r$  r   r   r6   test_periodic_eval  s    
z"TestCubicSpline.test_periodic_evalc                 C   s>   t g d}t g d}t||ddd}| |dd d S )N)r   ?gffffff? @@      @g333333@g@g@g      @g      @g      @g       @gffffff"@g      %@g&@g333333'@g      (@g333333)@g      *@g*@)r6  g      ?g?r7  r8  g@g333333@g333333@gffffff @r7        @gffffff@r:  g333333?gffffff?r   gffffff?g333333?r   g?r6  r!  )r?   extrapolate)r    r~   r   r)  r4  r   r   r6   *test_second_derivative_continuity_gh_11758  s    z:TestCubicSpline.test_second_derivative_continuity_gh_11758c                 C   sZ   t g d}t g d}t||dd}| |dd t|d|t g d d S )N)r   g      @r9  )r   g      .@r   r!  r1  r   )      Hr=  r=  )r    r~   r   r)  r   rM   r4  r   r   r6   test_three_points  s
    z!TestCubicSpline.test_three_pointsc                 C   s   t g d}t ddgddgddgg}t||dd}| |dd t||d d df dd}t||d d df dd}t ddd	}t||d d df || t||d d df || d S )
N)r  r   r9  r  r   r!  r1  r   r   r   r8   )r    r~   r   r)  rs   r   )rY   r0   r2   r$  ZS0ZS1qr   r   r6   #test_periodic_three_points_multidim  s    z3TestCubicSpline.test_periodic_three_points_multidimc                 C   s   t jg dtd}t jg dtd}t||}| | t g d}t||}| | t||d dd}| |dd	 t g d}t||d
dgd}| |d
d d S )N)r   r   r   r   )Zdtype)r   r   r   r   )y            ?r  y      ?      y      ?      r   )r=   r   y               @r1  r=   rA  )r   y       @      ?)r   y      ?      )r    r~   intr   r)  r4  r   r   r6   test_dtypes  s    



zTestCubicSpline.test_dtypesc                 C   sJ   t jd}t |jdd}d|jdd }t||}| j|dd d S )Nr   rn   )r*   g     @gvIh%<=r+  )r    r!   ZRandomStater   uniformr   r)  )rY   rngr0   r2   r$  r   r   r6   test_small_dx.  s
    
zTestCubicSpline.test_small_dxc              	   C   s  t g d}t g d}t g d}t t jdddg}t g d}t t jdddg}g d}dg}dg}	ttt|| ttt|| ttt|| ttt|| ttt|| ttt|d d t jf | ttt||	 g d	}
|
D ]}ttt||d
|d qt j||f }d}ddg dff}ddd
d
ggff}ttt||d
|d ttt||d
|d ttt||d
|d ttt||d
dd d S )Nrf   )y      ?      ?r   r   r   r   r   r   )r   r   r   r   r  r   ))r!  r>   ))r   r   )r   r   )r   r   )r  r  z
not-a-typor   T)r>   rG  r>   )r   r   r   r!  )r    r~   nanassert_raisesr   r   ZnewaxisZc_)rY   r0   r2   ZxcZxnZxoZynZy3r   r   Zwrong_bcr?   r/  Zbc1Zbc2Zbc3r   r   r6   test_incorrect_inputs5  s6    z%TestCubicSpline.test_incorrect_inputsN)r   r   r  )rZ   r[   r\   staticmethodr)  r.  r0  r2  r5  r<  r>  r@  rC  rF  rJ  r   r   r   r6   r    s     ;	r  c                  C   sN   g d} g d}g d}t | ||}t|| |dd t|| d|dd d S )N)r   r   r}   )r   r   r   )r   r   r}   r   )r  r   )r   r   )r0   r2   r4   r1   r   r   r6   #test_CubicHermiteSpline_correctness^  s    rL  c                  C   sH   g d} g d}g d}t tt| || ddtjg}t tt| || d S )Nr  )r   r   r8   )r   r   r   r   r   r   )rI  r   r   r    rH  )r0   r2   r4   Zdydx_with_nanr   r   r6   &test_CubicHermiteSpline_error_handlingg  s    rM  c                  C   sd   t ddg} t ddg}t ddg}t| ||}|jdd}t|jjd	 d	 t|jd
 d S )NgMbP?gMb`?gBܻ>gdJ>g/"g%"T)r;  r   r   )r    r~   r   r  r   r"  r)   r*   )r0   r2   Zdyrh   r   r   r   r6   test_roots_extrapolate_gh_11185q  s    rN  c                   @   s   e Zd Zejdededgejdg dejdg dejdee	gd	d
 Z
ejdededgejdg dejdeegdd ZdS )TestZeroSizeArraysr2   )r   r   r8   )r   r8   r   r?   )r   r!  r=   r>   r   r   clsc           
      C   s   t d}t d}||||d}||jdks4J ||j|j|jdd   ksVJ t |d|}|||||d}|jd | |jf |j|d d   }	||jdksJ ||j|	ksJ d S )Nr   r   r1  r   r   )r?   r   r    r   r*   r)   Zmoveaxis)
rY   rP  r2   r?   r   r0   xvalobjytshr   r   r6   test_zero_size  s    

"(z!TestZeroSizeArrays.test_zero_sizec           	      C   s   t d}t d}|||}||jdks0J ||j|j|jdd   ksRJ t |d|}||||d}|jd | |jf |j|d d   }||jdksJ ||j|ksJ d S )Nr   r   r   r   r:   rQ  )	rY   rP  r2   r   r0   rR  rS  rT  rU  r   r   r6   test_zero_size_2  s    


"(z#TestZeroSizeArrays.test_zero_size_2N)rZ   r[   r\   r   markZparametrizer    r(   r   r   rV  r   r   rW  r   r   r   r6   rO  ~  s   rO  )*r  r  numpyr    Znumpy.testingr   r   r   r   r   r   r   r   rI  Zscipy.interpolater	   r
   r   r   r   r   r   r   r   r   r   r   r7   r@   rF   rL   re   ri   rj   r   r   r   r  rL  rM  rN  rO  r   r   r   r6   <module>   s4    8
'5 $
 > Z	
