o
    5ήcw                     @   s  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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mZmZmZmZmZmZmZm Z  G dd dZ!G d	d
 d
Z"G dd dZ#G dd dZ$G dd dZ%G dd dZ&G dd dZ'dddZ(G dd de)Z*dS )    N)assert_equalassert_almost_equalassert_array_equalassert_array_almost_equalassert_allclosesuppress_warnings)raises)arraydifflinspacemeshgridonespishape)bisplrepbisplev)	UnivariateSplineLSQUnivariateSplineInterpolatedUnivariateSplineLSQBivariateSplineSmoothBivariateSplineRectBivariateSplineLSQSphereBivariateSplineSmoothSphereBivariateSplineRectSphereBivariateSplinec                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'S )(TestUnivariateSplinec                 C   sj   g d}g d}t ||dd}t| ddg t| ddg t| d t|g dg d d S )N         )r   r   r   r   kr           r         ?r   r   r   	get_knots
get_coeffsr   get_residualselfxylut r.   L/tmp/pip-target-vg8gfxp4/lib/python/scipy/interpolate/tests/test_fitpack2.pytest_linear_constant      z)TestUnivariateSpline.test_linear_constantc                 C   s   g d}g d}t ||dd}d}tt|t|| tt|t||dd g d}tt|t|| tt|t||dd d S )Nr   r   r      r   r    r   )nu)r$   r         @)r   r   r   )r*   r+   r,   r-   argr.   r.   r/   test_preserve_shape   s   z(TestUnivariateSpline.test_preserve_shapec                 C   sj   g d}g d}t ||dd}t| ddg t| ddg t| d t|g d	g d
 d S )Nr   r2   r   r    r   r   r3   r"   r#   )r   r   r   r%   r)   r.   r.   r/   test_linear_1d&   r1   z#TestUnivariateSpline.test_linear_1dc                 C   s@   G dd dt }|g dg ddd}t|ddgd	d	g d S )
Nc                   @   s   e Zd Zdd ZdS )z9TestUnivariateSpline.test_subclassing.<locals>.ZeroSplinec                 S   s   dt | S )Nr   )r	   )r*   r+   r.   r.   r/   __call__3   s   zBTestUnivariateSpline.test_subclassing.<locals>.ZeroSpline.__call__N)__name__
__module____qualname__r9   r.   r.   r.   r/   
ZeroSpline2   s    r=   r   r   r   r3      )r   r   r   r   r   r   r    r$   r5   r"   )r   r   )r*   r=   spr.   r.   r/   test_subclassing/   s   z%TestUnivariateSpline.test_subclassingc                 C   s4   g d}g d}t ||dd}t|g tg  d S )N)r   r   r?      	   )r   r3   rC         r   r    )r   r   r	   )r*   r+   r,   splr.   r.   r/   test_empty_input9   s   z%TestUnivariateSpline.test_empty_inputc                 C   sN   g d}g d}g d}t |||dd}tg d}t|g d|dd	 dS )
zRegression test for #1375.)      g<&g_g@7ѿg46	<ƿgBϠr"   gBϠ?g46	<?g@7?g_?g<&?      ?)rI   1\_#?~a?w?5??0ms?gx?rN   rM   rL   rK   rJ   rI   )   mBo!@u)	~@e?֭z@b@v5|@geSs@rT   rS   rR   rQ   rP   rO   N)r+   r,   ws)gJdv?gc?g=?gt?皙?      ??gGz?gMb@?atol)r   r	   r   )r*   r+   r,   rU   rF   desiredr.   r.   r/   test_resize_regression@   s   z+TestUnivariateSpline.test_resize_regressionc           
   	   C   sP  t jdtd}|d }tddd}| }d|t |dk |d	k< | }|d |||d k < |d
 |||d
 k< ttfD ]}|||d}dD ]}t|||d|d dd t||||d||d dd qGdD ]}t|||d|d dd t||||d||d dd qidD ]}t	t
||fi t|d qdD ]}t|||d|d dd t||||d||d dd qq=| dd }	t|||	}t||dd|d dd t||dd|d dd t	t
||fi tdd t||dd|d dd dD ]#}t||}t	t
||fi t|d t	t
tfi t|||d qd S )Nr?   dtyper      d   r   r"         @r+   r,   )r   extrapolate)extgؗҜ<r[   )r   zeros)r   raise)r   constr3   r   r   )re   unknown)r+   r,   rh   )nparangefloatr   copy
logical_orr   r   r   assert_raises
ValueErrordictr&   r   )
r*   r+   r,   xpxp_zerosxp_clipclsrF   rh   tr.   r.   r/   test_out_of_range_regressionP   sF   """


z1TestUnivariateSpline.test_out_of_range_regressionc                 C   sF   t dd }t dd }t ddd}d}ttt||||d d S )Nrc   rI   r   c   
   )re   e   bbox)rm   rn   r   rr   rs   r   )r*   xsysknotsr   r.   r.   r/   test_lsq_fpchecy   s   
z$TestUnivariateSpline.test_lsq_fpchecc                 C   sx   t dddd }t |}t||dd}|dd}t|d|d |d}t|d|d	 |d	d d S )
Nr   r   F   r   rV   r   333333?g333333?皙?)rm   r   cosr   antiderivative
derivativer   integral)r*   r+   r,   rF   spl2r.   r.   r/   "test_derivative_and_antiderivative   s   


z7TestUnivariateSpline.test_derivative_and_antiderivativec                 C   sB   g d}g d}t ||ddd}g d}t| |ddd	 d S )
Nr   r   r3      g      !@)rY   皙??r5   r?   rk   r   )rh   r!   )re   r   g      rC   g      #@r|   r   V瞯<r[   )r   r   r   )r*   x_valuesy_valuesfr+   r.   r.   r/   test_derivative_extrapolation   s
   z2TestUnivariateSpline.test_derivative_extrapolationc                 C   sT   t ddd}tdD ]}t||d|d}dD ]\}}t|||ddd	 qqd S )
Nr"   rI   rB   r3   r   )rV   rh   ))r   r   )r   r?   )r   r?   r   r   )r   )r   re   r   r[   )rm   r   ranger   r   r   )r*   r+   rh   r   abr.   r.   r/   test_integral_out_of_bounds   s   z0TestUnivariateSpline.test_integral_out_of_boundsc                 C   s,  t jdtd}|d }t |}t||dd}| dd }|d }t jt jt j fD ]g}||d< tt	tfi t
||dd tt	tfi t
||dd tt	tfi t
|||dd	 ||d< ||d< tt	tfi t
|||dd
 tt	tfi t
|||dd
 tt	tfi t
||||dd q,d S )Nr|   r_   r   Tcheck_finiter3   re   r+   r,   r   )r+   r,   ry   r   )r+   r,   rU   r   r+   r,   ry   rU   r   )rm   rn   ro   	ones_liker   r&   naninfrr   rs   rt   r   r   )r*   r+   r,   rU   rF   ry   y_endzr.   r.   r/   test_nan   s:   






zTestUnivariateSpline.test_nanc              	   C   s   t jdtd}|d }t jdtd}|d |d< |d }t |}t||dd}| dd }t|||ddd	 t||||dd
 tttfi t	||ddd ttt
fi t	||dd d S )Nr|   r_   r   r   r   Tr   r3   )r+   r,   rU   rV   r   r   )r+   r,   rV   r   r   )rm   rn   ro   r   r   r&   r   rr   rs   rt   r   r*   xxyyr+   r,   rU   rF   ry   r.   r.   r/   test_strictly_increasing_x   s    



z/TestUnivariateSpline.test_strictly_increasing_xc              
   C   s   t jdtd}|d }t jdtd}|d d |d< |d }t |}t||dd}| dd	 }tttfi t||dd
 ttt	fi t||dd
 ttt
fi t||||dd d S )Nr|   r_   r   r   rI   r   Tr   r3   r   r   )rm   rn   ro   r   r   r&   rr   rs   rt   r   r   r   r.   r.   r/   test_increasing_x   s"   




z&TestUnivariateSpline.test_increasing_xc                 C   s  t t}g d}g d}t|| W d    n1 sw   Y  dt|jv s*J t t}g d}g d}g d}t|||d W d    n1 sLw   Y  dt|jv sZJ t t}d}t|||d	 W d    n1 srw   Y  d
t|jv sJ t t}t||dd W d    n1 sw   Y  dt|jv sJ t t}t||dd W d    n1 sw   Y  dt|jv sJ d S )Nr   rY   r   r   r5   !x and y should have a same lengthrY   r   r   r5   gffffff@rH   rI   rI   rI   rU   %x, y, and w should have a same lengthre   r~   bbox shape should be (2,)r   r    k should be 1 <= k <= 5rH   r   s should be s >= 0.0)rr   rs   r   strvaluer*   infor   r   w_valuesr   r.   r.   r/   (test_invalid_input_for_univariate_spline   s4   




z=TestUnivariateSpline.test_invalid_input_for_univariate_splinec                 C   sL  t t}g d}g d}t|| W d    n1 sw   Y  dt|jv s*J t t}g d}g d}g d}t|||d W d    n1 sLw   Y  dt|jv sZJ t t}d}t|||d	 W d    n1 srw   Y  d
t|jv sJ t t}t||dd W d    n1 sw   Y  dt|jv sJ d S )Nr   r   r   r   r   r   r   re   r~   r   r   r    r   )rr   rs   r   r   r   r   r.   r.   r/   5test_invalid_input_for_interpolated_univariate_spline   s,   



zJTestUnivariateSpline.test_invalid_input_for_interpolated_univariate_splinec                 C   s  g d}g d}t ||dd}| dd }tt}g d}g d}t||| W d    n1 s4w   Y  dt|jv sBJ tt}g d}g d}g d	}t||||d
 W d    n1 sew   Y  dt|jv ssJ tt}d}t||||d W d    n1 sw   Y  dt|jv sJ tt}d}t||||d W d    n1 sw   Y  dt|jv sJ tt}t|||dd W d    n1 sw   Y  dt|jv sJ d S )Nr   r   Tr   r   r3   r   r   )rI   rI   rI   rI   r   r   )rc   r~   z;Interior knots t must satisfy Schoenberg-Whitney conditionsre   r   r   r    r   )r   r&   rr   rs   r   r   r   )r*   r   r   rF   t_valuesr   r   r   r.   r.   r/   ,test_invalid_input_for_lsq_univariate_spline  s>   




zATestUnivariateSpline.test_invalid_input_for_lsq_univariate_splinec                 C   s   t g d}t g d}t g d}t ddg}t||||d}t| | | | d}t|g d|g d d S )Nr   r   )rI   rI   rI   rI   rI   r   rc   )r+   r,   rU   r   rW   )rm   r	   r   tolistr   )r*   r   r   r   r   spl1r   r.   r.   r/   test_array_like_input9  s   
z*TestUnivariateSpline.test_array_like_inputc                 C   sd   t d}g d}t }|td}t||dd tt|d W d    d S 1 s+w   Y  d S )Nm   )mr"   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"   ffffff%@r"   r"   r"   r   r"   r"   r"   r"   r"   r"   r   r"   r"   r   r"   r"   r"   333333%@r"   r"   r"   r   r"   r"   r   r"   r"   r   r"   r"   g      '@r"   r"   r"   r   r"   r"   r   r"   r"   r   r"   r"   皙%@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"   a#  
The maximal number of iterations maxit \(set to 20 by the program\)
allowed for finding a smoothing spline with fp=s has been reached: s
too small.
There is an approximation returned but the corresponding weighted sum
of squared residuals does not satisfy the condition abs\(fp-s\)/s < tol.r   r    )r   r   recordUserWarningr   r   len)r*   r+   r,   suprr.   r.   r/   test_fpknot_oob_crashH  s   "z*TestUnivariateSpline.test_fpknot_oob_crashN)r:   r;   r<   r0   r7   r8   rA   rG   r^   rz   r   r   r   r   r   r   r   r   r   r   r   r   r.   r.   r.   r/   r      s(    		
)

"r   c                   @   sD   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S )TestLSQBivariateSplinec           
   
   C   s   g d}g d}g d}d}d| d| g}d| d| g}t   }|td}t|||||ddd}	tt|d W d    n1 sDw   Y  t|	d	d	d
 d S )N	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   rX   r   r   
The coefficients of the splinekxkyr         @)r   r   r   r   r   r   r   
r*   r+   r,   r   rV   txtyr   r   r-   r.   r.   r/   r0   f  s   z+TestLSQBivariateSpline.test_linear_constantc              
   C   s  g d}g d}g d}d}d| d| g}d| d| g}t  }|td t|||||ddd}W d    n1 s=w   Y  | \}}t|d d	 |dd  D ]i\}	}
t|d d	 |dd  D ]W\}}d
D ]P}dD ]K}|	d|  |
|  }|d|  ||  }||	|
 d|  d|  ||
|| d|   ||	|d|  |  ||
|| |  }t|||| qpqlqfqUd S )Nr   r   	r   rB      r   r3   rB   r   r   r3   rX   r   r   r   r   re   )rX   rY   rZ   )r   皙?gffffff?)r   filterr   r   r&   zipr   )r*   r+   r,   r   rV   r   r   r   r-   xaxbyaybry   ru   ypzpr.   r.   r/   test_bilinearityt  s:   ""z'TestLSQBivariateSpline.test_bilinearityc              
   C   sV  g d}g d}t g d}d}d| d| g}d| d| g}t  }|td}t|||||ddd}	tt|d W d    n1 sFw   Y  |	 \}}|	||}
d	t|d d d f t|d d d f  |
d d
d d
f |
dd d d
f  |
d d
dd f  |
dd dd f   	  }t
|	|d |d
 |d |d
 | d S )N)	r   r   r   r   r   r   r   r   r   r   r   rX   r   r   r   r         ?re   r   )r	   r   r   r   r   r   r   r&   r
   sumr   r   )r*   r+   r,   r   rV   r   r   r   r   r-   tztrpzr.   r.   r/   test_integral  s*   
(N z$TestLSQBivariateSpline.test_integralc           
   
   C   s   g d}g d}g d}d}d| d| g}d| d| g}t   }|td}t|||||ddd}	tt|d W d    n1 sDw   Y  t|	g g td	 t|	g g d
dtd d S )Nr   r   r   rX   r   r   r   r   r   Fgridr   )	r   r   r   r   r   r   r   rm   ri   r   r.   r.   r/   rG     s   z'TestLSQBivariateSpline.test_empty_inputc              
   C   s  d}d| d| g}d| d| g}t t$}tdd}tdd}tjdddd}t||||| W d    n1 s=w   Y  dt|jv sKJ t t,}tdd}tdd}tdd}tjddd	d}t||||||d
 W d    n1 s~w   Y  dt|jv sJ t t}tdd}t||||||d
 W d    n1 sw   Y  dt|jv sJ t t}d}	t||||||	d W d    n1 sw   Y  dt|jv sJ t t}t|||||ddd W d    n1 sw   Y  dt|jv sJ t t}
t|||||dd W d    n	1 s%w   Y  dt|
jv s4J t t}
t|||||dd W d    n	1 sNw   Y  dt|
jv s]J d S )NrX   r   r   rI         $@r|   num%x, y, and z should have a same length   r   (x, y, z, and w should have a same lengthrH   w should be positiver   rc   r   r~   bbox shape should be (4,)r   ;The length of x, y and z should be at least (kx+1) * (ky+1)r"   epseps should be between (0, 1))rr   rs   rm   r   r   r   r   )r*   rV   r   r   r   r+   r,   r   rU   r   exc_infor.   r.   r/   test_invalid_input  sT   







z)TestLSQBivariateSpline.test_invalid_inputc              
   C   s  d}t d| d| g}t d| d| g}t dd}t dd}t dd}t dd}t g d}t C}	|	td}
t|||||||d}t| | | | | | |d}t|d	d	|d	d	 t	t
|
d
 W d    d S 1 sw   Y  d S )NrX   r   r   rI   r   )rI   r   rI   r   r   )rU   r          @r   )rm   r	   r   r   r   r   r   r   r   r   r   )r*   rV   r   r   r+   r,   r   rU   r   r   r   r   r   r.   r.   r/   r     s$   "z,TestLSQBivariateSpline.test_array_like_inputc           	      C   s   t jddddf \}}| }| }dt | }t ddd}t ddd}t }|td}t|||||}t	t
|d	 W d
   n1 sMw   Y  t|||dd| d
S )zkTest for the case when the input knot-location arrays in x and y are
        of different lengths.
        r   rc   r   rX   g     X@   !   r   r   NFr   )rm   mgridravelr   r   r   r   r   r   r   r   r   )	r*   r+   r,   r   r   r   r   r   r-   r.   r.   r/   test_unequal_length_of_knots  s   z3TestLSQBivariateSpline.test_unequal_length_of_knotsN)
r:   r;   r<   r0   r   r   rG   r   r   r  r.   r.   r.   r/   r   d  s    +r   c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestSmoothBivariateSplinec                 C   s   g d}g d}g d}t |||ddd}t| g dg df t| g d t| d t|g d	dd
gddgddgddgg d S )Nr   r   r   r   r   r   r   r   r   )r   r   r   r   r"   r#   r$   r   r   r   r&   r'   r   r(   r*   r+   r,   r   r-   r.   r.   r/   r0        .z.TestSmoothBivariateSpline.test_linear_constantc                 C   s   g d}g d}g d}t |||ddd}t| g dg df t| g d t| d t|g d	dd
gddgddgddgg d S )Nr   r   )	r   r   r   r   r   r   r3   r3   r3   r   r   r  )r   r   r3   r3   r"   r#   r$   r   r   r  r  r.   r.   r/   r8     r	  z(TestSmoothBivariateSpline.test_linear_1dc              	   C   s4  g d}g d}t g d}t }|td t|||dddd}W d    n1 s,w   Y  g d}g d	}|||}d
t|d d d f t|d d d f  |d dd df |dd d df  |d ddd f  |dd dd f     }	t||d |d |d |d |	 t|||dddd}
t|
|d |d |d |d |	dd ||d d |d d }d
t|d d d d d f t|d d d d d f  |d dd df |dd d df  |d ddd f  |dd dd f     }	t||d |d |d |d |	 d S )N)	r   r   r   r   r   r   r3   r3   r3   r   r   z
The required storage spacer   r   )r   r   rV   )r   r   r3   r   r   re   r   )decimalr   )	r	   r   r   r   r   r
   r   r   r   )r*   r+   r,   r   r   r-   r   r   r   r   lut2r.   r.   r/   r     s6   
(N&"8N*z'TestSmoothBivariateSpline.test_integralc           
      C   s|   t ddd}t ddd}|| }t ddd}t ddd}t|||}t|||}t|||}|||}	t||	 d S )Nr   r   P   re   r   rc   )rm   r   r   r   r   r   )
r*   r+   r,   r   xiyitckres1interp_res2r.   r.   r/   test_rerun_lwrk2_too_small3  s   
z4TestSmoothBivariateSpline.test_rerun_lwrk2_too_smallc                 C   s  t t"}tdd}tdd}tjdddd}t||| W d    n1 s)w   Y  dt|jv s7J t t*}tdd}tdd}tdd}tjdddd}t||||d W d    n1 shw   Y  dt|jv svJ t t}td	d}t||||d W d    n1 sw   Y  d
t|jv sJ t t}d}t||||d W d    n1 sw   Y  dt|jv sJ t t}t|||ddd W d    n1 sw   Y  dt|jv sJ t t}t|||d	d W d    n	1 sw   Y  dt|jv sJ t t}t|||dd W d    n	1 s-w   Y  dt|jv s<J t t}t|||dd W d    n	1 sTw   Y  dt|jv scJ d S )NrI   r   r|   r   r   r   r   r   rH   r   r   r~   r   r   r   r   r   r"   r   r   )rr   rs   rm   r   r   r   r   )r*   r   r+   r,   r   rU   r   r   r.   r.   r/   r   B  sV   







z,TestSmoothBivariateSpline.test_invalid_inputc              	   C   s   t g d}t g d}t g d}t g d}t g d}t|||||ddd}t| | | | | ddd}t|d	d
|d	d
 d S )Nr   r   r   )	r   r   r   r   r   r   r   r   r   )rI   r   rI   r   r   )rU   r   r   r   )r   rU   r   r   rX   rY   )rm   r	   r   r   r   )r*   r+   r,   r   rU   r   r   r   r.   r.   r/   r   n  s   z/TestSmoothBivariateSpline.test_array_like_inputN)	r:   r;   r<   r0   r8   r   r  r   r   r.   r.   r.   r/   r    s    

,r  c                   @   4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestLSQSphereBivariateSplinec                 C   s   d\}}t d|d  dd|d   |t }t d|d  dd|d   |d t }t|jd |jd f}|d d d }|d d d }|d d dd d df }t||\}	}
t|	 |
 |j ||}|| _|| _	||| _
| _d S )Nr   Z   rY   r   r   r   r?   )r   r   r   r   r   r   r  Tlut_lsqdatanew_lonsnew_lats)r*   nthetanphithetaphir  knotstknotspknotdatalatslonsr  r.   r.   r/   setup_method~  s   $(z)TestLSQSphereBivariateSpline.setup_methodc                 C   s,   t | j d t| | j| j| j d S )Nr"   )r   r  r(   r   r  r  r  r*   r.   r.   r/   r0     s   z1TestLSQSphereBivariateSpline.test_linear_constantc                 C   8   t | g g td t | jg g ddtd d S Nr   Fr   r   )r   r  rm   ri   r'  r.   r.   r/   rG         z-TestLSQSphereBivariateSpline.test_empty_inputc              	   C   sn  d\}}t d|d  dd|d   |t }t d|d  dd|d   |d t }t|jd |jd f}|d d d }|d d d }tt'}t dd|d	t }	t|	|\}
}t|
 | |j	 || W d    n1 srw   Y  d
t
|jv sJ tt'}t dd|d	t }	t|	|\}
}t|
 | |j	 || W d    n1 sw   Y  d
t
|jv sJ tt)}t dd|d	d t }t||\}}t| | |j	 || W d    n1 sw   Y  dt
|jv sJ tt)}t dd|d	d t }t||\}}t| | |j	 || W d    n	1 s+w   Y  dt
|jv s:J t||\}}tt }t|}d|d< t| | |j	 || W d    n	1 siw   Y  dt
|jv sxJ tt }t|}t|d< t| | |j	 || W d    n	1 sw   Y  dt
|jv sJ tt }t|}d|d< t| | |j	 || W d    n	1 sw   Y  dt
|jv sJ tt"}t|}dt |d< t| | |j	 || W d    n	1 sw   Y  dt
|jv sJ tt}tg d}t| | |j	 |||d W d    n	1 sFw   Y  dt
|jv sUJ tt}t| | |j	 ||dd W d    n	1 svw   Y  dt
|jv sJ tt}t| | |j	 ||dd W d    n	1 sw   Y  dt
|jv sJ d S )Nr  rY   r   r   r   r?   皙rI   r   theta should be between [0, pi]rX   皙?phi should be between [0, 2pi]r"   ztt should be between (0, pi)ztp should be between (0, 2pi)r   	rH   rI   r$   rY   rI   r$   rY   rI   rI   r   r   r   r   )r   r   r   r   rr   rs   r   r   r  r  r   r   rm   rp   r	   )r*   r  r  r  r   r  r!  r"  r   invalid_thetainvalid_latsr%  invalid_phir$  invalid_lonsinvalid_knotstinvalid_knotsp	invalid_wr.   r.   r/   r     s   (














z/TestLSQSphereBivariateSpline.test_invalid_inputc                 C   s  d\}}t d|d  dd|d   |t }t d|d  dd|d   |d t }t||\}}t|jd |jd f}|d d d }|d d d }	t| jd }
t| | |j ||	|
d}t|  |  |j  | |	 |
 d}t	|dd|dd d S )	Nr  rY   r   r   r   r?   r   rI   )
r   r   r   r   r   r  r   r  r   r   )r*   r  r  r  r   r$  r%  r  r!  r"  rU   r   r   r.   r.   r/   r     s8   
z2TestLSQSphereBivariateSpline.test_array_like_inputNr:   r;   r<   r&  r0   rG   r   r   r.   r.   r.   r/   r  }  s    Tr  c                   @   r  )TestSmoothSphereBivariateSplinec                 C   s   t dt dt dt dt dt dt dt dt dt g	}t dt tdt dt tdt dt tdt g	}t g d}t|||dd| _d S )Nr   rY         ?r$   r       _Br   )r	   r   r   r-   )r*   r  r   r   r.   r.   r/   r&    s   ,&z,TestSmoothSphereBivariateSpline.setup_methodc                 C   s@   t | j d t| g dddgddgddgddgg d S )Nr"   r#   r   r$   r   )r   r-   r(   r   r'  r.   r.   r/   r0     s   z4TestSmoothSphereBivariateSpline.test_linear_constantc                 C   r(  r)  )r   r-   rm   ri   r'  r.   r.   r/   rG     r*  z0TestSmoothSphereBivariateSpline.test_empty_inputc                 C   s  t dt dt dt dt dt dt dt dt dt g	}t dt tdt dt tdt dt tdt g	}t g d}tt/}t dt dt dt dt dt dt dt dt dt g	}t|||dd W d    n1 stw   Y  d	t|jv sJ tt/}t dt dt dt dt dt dt dt dt d
t g	}t|||dd W d    n1 sw   Y  d	t|jv sJ tt)}t dt tdt dt tdt dt tdt g	}t|||dd W d    n1 sw   Y  dt|jv sJ tt)}t dt tdt dt tdt dt tdt g	}t|||dd W d    n	1 s6w   Y  dt|jv sEJ tt}t g d}t||||dd W d    n	1 sdw   Y  dt|jv ssJ tt}t|||dd W d    n	1 sw   Y  dt|jv sJ tt}t|||dd W d    n	1 sw   Y  dt|jv sJ tt}t|||dd W d    n	1 sw   Y  dt|jv sJ d S )Nr   rY   r9  r$   r   r+  r:  r   r,  r-  r.  rI   g @r/  rU   rV   r   rH   s should be positiver   r   )r	   r   rr   rs   r   r   r   )r*   r  r   r   r   r0  r2  r6  r.   r.   r/   r     sl   &&







z2TestSmoothSphereBivariateSpline.test_invalid_inputc                 C   s   t dt dt dt dt dt dt dt dt dt g	}t dt tdt dt tdt dt tdt g	}t g d}t g d}t||||dd}t| | | | dd}t|d	d	|d	d	 d S )
Nr   rY   r9  r$   r   )	rI   rI   rI   rI   rI   rI   rI   rI   rI   r:  r;  rI   )rm   r	   r   r   r   r   )r*   r  r   r   rU   r   r   r.   r.   r/   r   J  s   "&z5TestSmoothSphereBivariateSpline.test_array_like_inputNr7  r.   r.   r.   r/   r8    s    2r8  c                   @   sd   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 )TestRectBivariateSplinec                 C   s^   t g d}t g d}t g dg dg dg dg dg}t|||}t|||| d S )Nr>   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r   r   r  r.   r.   r/   test_defaults\  s
   &z%TestRectBivariateSpline.test_defaultsc                    s   t g d}t g d}t g dg dg dg dg dg}t||| g d}g d} ||}t  fddt||D }t|| d S )	Nr>   r>  r?  r@  )r   ffffff@g333333@rY   ffffff
@333333?r   )r   rD  rE  rd   g      @rI   r   c                       g | ]\}} ||d  qS r   r.   .0ru   r   r-   r.   r/   
<listcomp>l      z9TestRectBivariateSpline.test_evaluate.<locals>.<listcomp>)r	   r   evr   r   )r*   r+   r,   r   r  r  zizi2r.   rJ  r/   test_evaluatec  s   &z%TestRectBivariateSpline.test_evaluatec                 C   s  t g d}t g d}t g dg dg dg dg dg}t g dg dg dg dg dgd	 }t g d
g d
g dg dg d
g}t g dg dg dg dg dgd	 }t|||}t|||dd| t|||dd| t|||ddd| d S )Nr>   r>  r?  r@  r   r   ir   r   r   r   rb   r   r   r   r   r3   r   r   r   r   ir   r         @r3   re   r   r   r   r$   r   g      r   r   r   r         пr   (   ir      iig     @0@r   g     @0   ra   r?   r   r      g     +r   g     +@ir   dxdy)re  rg  rA  r*   r+   r,   r   re  rg  dxdyr-   r.   r.   r/   test_derivatives_gridp  s(   &z-TestRectBivariateSpline.test_derivatives_gridc                 C   s   t g d}t g d}t g dg dg dg dg dg}t g d}t g d}t g dd }t|||}t|||d	d
d| t|||d	d
d| t|||d	d	d
d| d S )Nr>   r>  r?  r@  r   r   gUUUUUU?r   r   r3   re   r   rZ  rW     A   r   7             8@r   F)re  r   )rg  r   re  rg  r   rA  rh  r.   r.   r/   test_derivatives  s   &z(TestRectBivariateSpline.test_derivativesc                 C   s  t g d}t g d}t g dg dg dg dg dg}t g dg dg dg dg dgd	 }t g d
g d
g dg dg d
g}t g dg dg dg dg dgd	 }t|||}t|dd||| t|dd||| t|dd||| d S )Nr>   r>  r?  r@  rQ  rR  rS  rT  rU  rV  rX  rY  r[  r^  r`  rb  r   r   r	   r   r   partial_derivativerh  r.   r.   r/   #test_partial_derivative_method_grid  sD   z;TestRectBivariateSpline.test_partial_derivative_method_gridc                 C   s   t g d}t g d}t g dg dg dg dg dg}t g d}t g d}t g dd }t|||}t|d	d
||dd| t|d
d	||dd| t|d	d	||dd| d S )Nr>   r>  r?  r@  rk  rl  rm  rr  r   r   Fr   ru  rh  r.   r.   r/   test_partial_derivative_method  s6   z6TestRectBivariateSpline.test_partial_derivative_methodc                 C   sn   t g dtd}| }t|j|jf}t|||}tt |dd W d    d S 1 s0w   Y  d S )N)r   r   r   r   r3   r_   r3   r   )	r	   ro   rp   r   sizer   rr   rs   rv  r  r.   r.   r/   'test_partial_derivative_order_too_large  s   
"z?TestRectBivariateSpline.test_partial_derivative_order_too_largec                 C   s   t g d}t g d}t g dg dg dg dg dg}t|||}t|||||d d d f |d d d f dd d S )Nr>   r>  r?  r@  Fr   )r	   r   r   r  r.   r.   r/   test_broadcast  s
   &6z&TestRectBivariateSpline.test_broadcastc                 C   s  t t-}tg d}tg d}tg dg dg dg dg dg}t||| W d    n1 s4w   Y  dt|jv sBJ t t-}tg d}tg d}tg dg dg dg dg dg}t||| W d    n1 svw   Y  dt|jv sJ t t*}tg d}tg d}tg dg dg dg dg}t||| W d    n1 sw   Y  d	t|jv sJ t t-}tg d}tg d}tg d
g d
g dg dg d
g}t||| W d    n1 sw   Y  dt|jv sJ t t1}tg d}tg d}tg dg dg dg dg dg}d}t||||d W d    n	1 s?w   Y  dt|jv sNJ t t}t|||dd W d    n	1 sfw   Y  dt|jv suJ d S )N)r   r   r   r3   r?   r>   r>  r?  r@  x must be strictly increasing)r   r   r   r3   r?   y must be strictly increasingz7x dimension of z must have same number of elements as x)r   r   r   r   )r   r   r   r   )r   r   r   r   z7y dimension of z must have same number of elements as yr   r~   r   rH   r   r   )rr   rs   r	   r   r   r   )r*   r   r+   r,   r   r   r.   r.   r/   r     sl   






z*TestRectBivariateSpline.test_invalid_inputc                 C   s   t g d}t g d}t g dg dg dg dg dg}t g d}t||||d}t| | | | d}t|dd|dd d S )Nr>   r>  r?  r@  )r   r?   r   r?   r~   rI   )r	   r   r   r   )r*   r+   r,   r   r   r   r   r.   r.   r/   r     s   z-TestRectBivariateSpline.test_array_like_inputc                 C   s0  d}t jdt j|}t jddt j |}t |}t|||dd}d}d}t || t j }t || d t j }	|||	 | }
d|
d< tt	}||
|	 W d    n1 s^w   Y  d	t
|jv slJ |	 }d|d< tt	}||| W d    n1 sw   Y  d
t
|jv sJ d S )Nr   r   r         @r   r   r   MbP?r|  r}  )rm   randomuniformr   r   r   rn   rp   rr   rs   r   r   )r*   NSampThetaPhiDataInterpolatorNLonNLatGridPosLatsGridPosLonsnonGridPosLatsr   nonGridPosLonsr.   r.   r/   test_not_increasing_input	  s,   



z1TestRectBivariateSpline.test_not_increasing_inputN)r:   r;   r<   rB  rP  rj  rt  rw  rx  rz  r{  r   r   r  r.   r.   r.   r/   r=  [  s    1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 )TestRectSphereBivariateSplinec              	   C   sv   t ddt d d}t dtd d}tg dg dg dg dg dg dg dg}t|||}t|||| d S N{Gz?r   rB   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.   r/   rB  (  s   z+TestRectSphereBivariateSpline.test_defaultsc              	      s   t ddt d d}t dtd d}tg dg dg dg dg dg dg dg}t||| g d}g d} ||}t fd	d
t||D }t|| d S )Nr  r   rB   r  r  r  )r   r   rC  g@r   gQ@g      @)r$   r   r-  g?gjt?rI   -C6?c                    rF  rG  r.   rH  rJ  r.   r/   rK  ;  rL  z?TestRectSphereBivariateSpline.test_evaluate.<locals>.<listcomp>)r   r   r	   r   rM  r   r   )r*   r,   r+   r   r  r  rN  rO  r.   rJ  r/   rP  1  s   z+TestRectSphereBivariateSpline.test_evaluatec                 C   s  t t dt ddd jt dt t ddd j}tt&}t d	d
dt j d }t dddt j d }t	||| W d    n1 sLw   Y  dt
|jv sZJ tt&}t dddt j d }t dddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt&}t dd
dt j d }t dddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt&}t dd
dt j d }t dddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt(}t dd
dt j d }t dddt j d }t	|||d	d W d    n	1 s<w   Y  dt
|jv sKJ d S )N     V@      T      T@        f@r"        u@rC   re      r   ^  u should be between (0, pi)r|      K v[0] should be between [-pi, pi)h  "v[-1] should be v[0] + 2pi or lessr   r<  rm   dot
atleast_2dr   r  absrr   rs   r   r   r   r   r*   r  r   r$  r%  r.   r.   r/   r   >  F   




z0TestRectSphereBivariateSpline.test_invalid_inputc              
   C   s  t ddt d d}t dtd d}tg dg dg dg dg dg dg dg}t|||}t ddt d d}t dtd d}t|||dd	t|||dd
ddd t|||ddt|||ddddd t|||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|| t|||ddd|dd||dd t|||ddd|dd||dd t|||dddd|dd||dd d S )Nr  r   rB   r  r  r  {Gz?r   )dthetard  r  rtolr\   )dphirf  )r  r  ư>re  rg  r   r  r   Fr  r   r   r  r   r  r  r   )r   r   r	   r   r   _numdiff_2dr   rv  r  r.   r.   r/   rj  `  sH   "z3TestRectSphereBivariateSpline.test_derivatives_gridc              
      s:  t ddt d d}t dtd d}tg dg dg dg dg dg dg dg}t||| t ddt d d}t dtd d}t ||dd	d
j|j t ||dd	d
t fdd||ddddd t ||dd	dt fdd||ddddd t ||ddd	dt fdd||ddddddd d S )Nr  r   rB   r  r  r  r  r   Fr  c                        | |ddS NFr   r.   rf   rJ  r.   r/   <lambda>      z@TestRectSphereBivariateSpline.test_derivatives.<locals>.<lambda>rd  r  r  r  c                    r  r  r.   rf   rJ  r.   r/   r    r  rf  r  c                    r  r  r.   rf   rJ  r.   r/   r    r  r  r  r  )r   r   r	   r   r   r   r   r  )r*   r,   r+   r   r.   rJ  r/   rt    s,   
z.TestRectSphereBivariateSpline.test_derivativesc                 C   s  t t dt ddd jt dt t ddd j}tt&}t d	d
dt j d }t d	ddt j d }t	||| W d    n1 sLw   Y  dt
|jv sZJ tt&}t dddt j d }t d	ddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt&}t dd
dt j d }t dddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt&}t dd
dt j d }t dddt j d }t	||| W d    n1 sw   Y  dt
|jv sJ tt(}t dd
dt j d }t dddt j d }t	|||dd W d    n	1 s<w   Y  dt
|jv sKJ d S )Nr  r  r  r  r  r"   r  rC   r   r  r  r  r|      r  r  r  r  r  re   r   r<  r  r  r.   r.   r/   test_invalid_input_2  r  z2TestRectSphereBivariateSpline.test_invalid_input_2c              	   C   s   t ddt d d}t dtd d}tg dg dg dg dg dg dg dg}t|||}t| | | }t|||||| d S r  )r   r   r	   r   r   r   )r*   r,   r+   r   r   r   r.   r.   r/   r     s   z3TestRectSphereBivariateSpline.test_array_like_inputc                 C   s   t g d}t g d}t ||}|d |d  }t |}t |}t|||}t t ddg}t t ddg}	|||	}
t d	d
gddgg}t|
| d S )N)r]     #   r\  -   )iiir   r   r   r  g     B@r  g     `Sg     Fg=Eg     HgDioEG)rm   r	   r   radiansr   r   )r*   r$  r%  meshr  lat_rlon_rinterpolator	query_lat	query_londata_interpansr.   r.   r/   test_negative_evaluation  s   



z6TestRectSphereBivariateSpline.test_negative_evaluationc                 C   sV   t ddt j d }t ddt j d }t d}dD ]}t|||d|d qd S )Nr   r|   )rC   rC   ))TT)TF)FFr   )rV   pole_continuity)rm   rn   r   ri   r   )r*   uvr   pr.   r.   r/   test_pole_continuity_gh_14591  s   
z;TestRectSphereBivariateSpline.test_pole_continuity_gh_14591N)r:   r;   r<   rB  rP  r   rj  rt  r  r   r  r  r.   r.   r.   r/   r  '  s    	"!"r  :0yE>c                 C   s   |dkr|dkr| ||S |dkr'|dkr'| || || || | d|  S |dkrA|dkrA| ||| | |||  d|  S |dkrs|dkrs| || || | || ||  | || ||  | || ||  d| d  S t d)Nr   r   r   zinvalid derivative order)rs   )funcr+   r,   re  rg  r   r.   r.   r/   r    s   
$$"
r  c                   @   s@   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dS )Test_DerivedBivariateSplinezgTest the creation, usage, and attribute access of the (private)
    _DerivedBivariateSpline class.
    c              
      s  t tttdtd}t tttdtdd}t t dddt dddf t !}|td t	|| tdddtd	d
ddd| _
W d    n1 sUw   Y  t|| | _tddd}|d }t fddt jD }t|||| _tttdtd| _d S )Nr|   r      r   r   rY   g     3@r3   r$   g     4@r  r   r   r   rI   c                    s   g | ]}t  |qS r.   )rm   roll)rI  ir   r.   r/   rK    s    z<Test_DerivedBivariateSpline.setup_method.<locals>.<listcomp>)rm   concatenatelistr   r   r   r   r   r   r   r  r   
lut_smoothr	   ry  r   lut_rect	itertoolsproductorders)r*   r+   r,   r   r   r   zzr.   r  r/   r&    s"   "


z(Test_DerivedBivariateSpline.setup_methodc                 C   N   | j D ]!\}}| j||}|dddd}| jdd||dd}t|| qd S )Nr~  Fr   rs  )r  r  rv  r   r*   nuxnuylut_derr   r   r.   r.   r/   test_creation_from_LSQ	     z2Test_DerivedBivariateSpline.test_creation_from_LSQc                 C   r  )Ng      @Fr   rs  )r  r  rv  r   r  r.   r.   r/   test_creation_from_Smooth  r  z5Test_DerivedBivariateSpline.test_creation_from_Smoothc                 C   sN   | j D ]!\}}| j||}|dddd}| jdd||dd}t|| qd S )NrY   r$   Fr   rs  )r  r  rv  r   r  r.   r.   r/   test_creation_from_Rect  r  z3Test_DerivedBivariateSpline.test_creation_from_Rectc                 C   sB   | j dd}tt |j W d    d S 1 sw   Y  d S Nr   )r  rv  rr   AttributeErrorfpr*   derr.   r.   r/   test_invalid_attribute_fp  s   
"z5Test_DerivedBivariateSpline.test_invalid_attribute_fpc                 C   sD   | j dd}tt |  W d    d S 1 sw   Y  d S r  )r  rv  rr   r  r(   r  r.   r.   r/   #test_invalid_attribute_get_residual#  s   

"z?Test_DerivedBivariateSpline.test_invalid_attribute_get_residualN)
r:   r;   r<   __doc__r&  r  r  r  r  r  r.   r.   r.   r/   r    s    r  )r   r   r  )+r  numpyrm   numpy.testingr   r   r   r   r   r   pytestr   rr   r	   r
   r   r   r   r   r   scipy.interpolate._fitpack_pyr   r   scipy.interpolate._fitpack2r   r   r   r   r   r   r   r   r   r   r   r  r  r8  r=  r  r  objectr  r.   r.   r.   r/   <module>   s,    $,  U  z 
U M 
@