o
    i'                    @   s  d dl Z d dlmZmZ d dlmZ d dlmZ d dlm	Z	 d dl
Z
d dl
mZ d dl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Zd d	lmZ d d
lmZ d dl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*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZA d dlBmCZC d dlDmEZEmFZFmGZG d dlHmIZI d dlJmKZK G dd dZLG dd deLZMG dd dZNG dd deNZOG dd dZPdd ZQdd ZRd d! ZSd"d# ZTG d$d% d%ZUG d&d' d'ZVG d(d) d)ZWG d*d+ d+ZXg d,ZYeYeI7 ZYG d-d. d.ZZG d/d0 d0Z[G d1d2 d2Z\G d3d4 d4Z]G d5d6 d6e]Z^G d7d8 d8e]Z_G d9d: d:e]Z`G d;d< d<e]ZaG d=d> d>e]ZbG d?d@ d@e]ZcG dAdB dBe]ZdG dCdD dDe]ZedEdF ZfdGdH Zge
jhidIejjejkejlejmejneoejpejpejqejrejsegG dJdK dKZtG dLdM dMZue
jhidNg dOe
jhidPdQdRge
jhidSg dTdUdV Zve
jhidIejwejxejygG dWdX dXZzG dYdZ dZZ{G d[d\ d\Z|G d]d^ d^Z}G d_d` d`e}Z~dadb ZddcddZdedf Zdgdh ZG didj djZG dkdl dlZG dmdn dnZG dodp dpZG dqdr drZdsdt ZddvdwZe
jhidxe9e.fdydz Ze
jhidId{G d|d} d}ZG d~d dZG dd dZG dd dZdS )    N)ThreadPoolExecutoras_completed)Decimalproduct)gcd)raises)assert_equalassert_almost_equalassert_array_equalassert_array_almost_equalassert_allcloseassert_assert_array_lesssuppress_warnings)arrayarange)fft)correlate1d)fminlinear_sum_assignment)signal)	correlatecorrelate2dcorrelation_lagsconvolve
convolve2dfftconvolve
oaconvolvechoose_conv_methodhilberthilbert2lfilter
lfilter_zifiltfiltbutterzpk2tfzpk2sosinvresinvreszvectorstrengthlfiltictf2sossosfiltsosfiltfilt
sosfilt_zitf2zpkBadCoefficientsdetrendunique_rootsresidueresiduez)hann)_filtfilt_gust_compute_factors_group_poles)_upfirdn_modes)
_testutilsc                   @   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S )_TestConvolvec                 C   s0   g d}g d}t ||}t|tg d d S )N)            r?   r>         r=   )r=   
             rG         r   r   r   selfabc rP   r/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/signal/tests/test_signaltools.py
test_basic&   s   
z_TestConvolve.test_basicc                 C   4   g d}g d}t ||dd}t|tg d d S )Nr=   r>   r?   )rB   rC   r=   r>   samemode)rD   rE   "   rJ   rK   rP   rP   rQ   	test_same,      z_TestConvolve.test_samec                 C   rS   )NrT   rA   rU   rV   )rD   rE   rE   rJ   rK   rP   rP   rQ   test_same_eq2   rZ   z_TestConvolve.test_same_eqc                 C   s8   t g d}t ddg}t||}t|t g d d S )N)      ?      ?       @      ?      @      ?r\   r]   )               @y       @      @y      @       @y      @      @)r   r   r   )rL   xyzrP   rP   rQ   test_complex8   s   
z_TestConvolve.test_complexc                 C   s$   d}d}t ||}t|||  d S )Ni	  i  )r   r	   rK   rP   rP   rQ   test_zero_rank>   s   
z_TestConvolve.test_zero_rankc                 C   st   t dddd}t d}tdD ]$}dgd }d||< t|||dd}t|||dd}t|| qd S )N   r=   rB   directmethodr   )npr   reshaperanger   r   )rL   rM   rN   ib_shaper`   ra   rP   rP   rQ   test_broadcastableD   s   

z _TestConvolve.test_broadcastablec                 C   0   t dg}t dg}t||}t|||  d S Nig  iP  )r   r   r	   rK   rP   rP   rQ   test_single_elementN      


z!_TestConvolve.test_single_elementc                 C   sR   g dg dg}g dg dg}t ||}tg dg dg dg}t|| d S NrA   rT   rC   r=   r>   r>   r?   r@   )rC            rI   )rD      >   :   &   )rI      r{   1   ry   r   r   r   rL   rM   rN   rO   drP   rP   rQ   test_2d_arraysT   s   
z_TestConvolve.test_2d_arraysc              	   C   s  t dddd}dt dddd }|t dd d d ddd7 }tg dg dg d	g d
gg dg dg dg dgg dg dg dg dgg dg dg dg dgg}tt||d| tt||d| tt||d|ddddddf  tt||d|ddddddf  tt||d|ddddddf  tt||d|ddddddf  d S )N   rC                 ?re   r=   )                y      :@        y      9@      ?y      8@       @)y      J@        y     b@      @y      b@      &@y     @W@      &@)y      G@      @y     `@      7@y     _@      =@y     @T@      7@)y      D@      (@y     X@      @@y     @W@     B@y      K@      8@)y      Z@        y     n@      *@y     m@      7@y     `@      5@)y     q@      >@y     @      X@y     @      _@y     t@     U@)y     n@     P@y      @     f@y     @@      j@y     q@     `@)y     a@     P@y     0s@      d@y     r@     `f@y      c@     Z@)y      Q@      B@y     c@     Y@y     `b@     @\@y     @T@     R@)y     e@     @a@y     w@     u@y      v@     w@y     @g@     l@)y     @a@     e@y     r@      {@y     p@     |@y     @a@     `q@)y     Q@     @a@y      b@     0t@y     _@     Pu@y     O@     h@)y      @@      R@y      Q@     d@y     M@     e@y      >@      Y@)y      Q@      h@y     `a@     {@y     @]@     p|@y     L@     o@)y      C@     k@y     @R@     0@y     I@     H@y      5@     0r@)y      (@      b@y      4@     s@y      @     t@y             f@fullrU   rB   r   valid)r   rj   r   r   r   )rL   ZsmallbigZ	out_arrayrP   rP   rQ   test_input_swapping]   sP    z!_TestConvolve.test_input_swappingc                 C   v   g d}g d}t tt||dd t tt||ddd t tt||dd	d t tt||d
dd t tt||ddd d S NrT   rA   ZspamrV   eggsr   rW   rh   Zhamrf   r   baconrU   assert_raises
ValueErrorr   rL   rM   rN   rP   rP   rQ   test_invalid_params      z!_TestConvolve.test_invalid_paramsN)__name__
__module____qualname__rR   rY   r[   rc   rd   rn   rq   r   r   r   rP   rP   rP   rQ   r<   $   s    
	%r<   c                   @   s>   e Zd Zdd Zdd Zdd Zddd	Zd
d Zdd ZdS )TestConvolvec                 C   s   g d}g d}g d}t ||d}t|| t ||d}t|| g d}ddg}ddg}t ||d}t|| t ||d}t|| d S )	N)rB   rC   r=   r@   r?   r=   )	rC   r=   r>   r?   r=   r>   rC   rC   rB   )F   N   I   A   r   )y      ?      @       @      y      @               @            ?        y       @      $)r   r   rL   rM   rN   expectedoutrP   rP   rQ   test_valid_mode2   s   


zTestConvolve.test_valid_mode2c                 C   s6   g d}g d}t ||d}tg d}t|| d S )N)rB   rC   r=   r=   rB   rC   )rB   r>   r=   r>   r?   r@   rv   r>   r=   rC   rB   rB   r=   rU   )9   =   ?   r   -   $   r   r   rP   rP   rQ   test_same_mode   s
   zTestConvolve.test_same_modec                 C   h   t ddd}t ddd}tttg||fR i ddi tttg||fR i ddi d S 	NrB   rv   rC   r=   r   r=   rC   rW   r   )ri   r   rj   r   r   r   r   rP   rP   rQ   test_invalid_shapes       $z TestConvolve.test_invalid_shapesd   c           	         s  t dd tj D g dd D dD ]}|v r!| qfddD }tjd tjjdd	g|d
tj|d}|d  |d< |d< |d d|d   |d< |D ]q\}} |t	|j
 ||t	|j
 | fdddD }t|d j	|d j	 d|v rd|v rttd qZtdd ||fD rddd}nd||fv rddd}nddd}t|d |d fi | qZd S ) Nc                 S   s   g | ]\}}|qS rP   rP   ).0_trP   rP   rQ   
<listcomp>       z5TestConvolve.test_convolve_method.<locals>.<listcomp>c                 S   s   h | ]}t |jqS rP   )ri   dtypenamer   r   rP   rP   rQ   	<setcomp>       z4TestConvolve.test_convolve_method.<locals>.<setcomp>)

complex256
complex192Zfloat128Zfloat96strvoidbytesobjectunicodestringc                    s*   g | ]} D ]}d D ]}|||fq
qqS ))r   r   rU   rP   )r   t1t2rW   )typesrP   rQ   r      s
    *   r   rB   size)rl   frl   rN   ur                 ?rO   c              	      s   i | ]}|t | d qS ))rh   rW   )r   )r   key)rW   x1x2rP   rQ   
<dictcomp>   s    z5TestConvolve.test_convolve_method.<locals>.<dictcomp>)r   rf   r   rf   boolc                 S   s   g | ]}|d v qS )>   	complex64float32rP   r   rP   rP   rQ   r      r   -C6?gư>rtolatolfloat16MbP?h㈵>:0yE>)sumri   Zsctypesitemsremoverandomseedchoicerandnr   kindastyper	   r   anyr   )	rL   nr   argsZarray_typesr   r   resultskwargsrP   )rW   r   r   r   rQ   test_convolve_method   s<   


z!TestConvolve.test_convolve_methodc                 C   sv   dD ]6}t jd| gt jd}t||dd}t||dd}|dk r8t|| t|dd|   t|dd|   qd S )N)	rD      2   3   4   5   6   <   rz   rC   r   r   rg   rf   r   )ri   r   int64r   r	   )rL   r   rb   r   rf   rP   rP   rQ    test_convolve_method_large_input   s   
z-TestConvolve.test_convolve_method_large_inputc                 C   x   t ttdgddd t ttddgdd t ttdgddd t ttddgdd t ttdgdgg t ttdgd d S NrB   rC   rf   rg   r   r=   r   rL   rP   rP   rQ   test_mismatched_dims      z!TestConvolve.test_mismatched_dimsN)r   )	r   r   r   r   r   r   r   r   r   rP   rP   rP   rQ   r      s    
0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
ejdeegejddg dgfdg dgfgdd Zdd Zdd Zdd ZdS ) _TestConvolve2dc                 C   sR   g dg dg}g dg dg}t g dg dg dg}t||}t|| d S rs   r   r   r   )rL   rM   rN   r   erP   rP   rQ   r     s   
z_TestConvolve2d.test_2d_arraysc                 C   s^   g dg dg}g dg dg}t g dg}t||d}t|| t||d}t|| d S )NrC   r=   r>   r?   r@   rv   r   r>   r?   r@   rv   r   	   rD   rA   rT   rz   P   b   t      r   r   rL   r   r   hgrP   rP   rQ   test_valid_mode  s   
z_TestConvolve2d.test_valid_modec                 C   sl   g dg dg}t jg dg dgtdd }tg dg}t||d}t|| t||d}t|| d S )	Nr   r   rA   rT   r   r   )y      O@      8@y      T@      >@y     X@      B@y      ]@      E@y     `@      H@r   )ri   r   complexr   r   r   r  rP   rP   rQ   test_valid_mode_complx  s   
z&_TestConvolve2d.test_valid_mode_complxc                 C   s\   g dg dg}g dg dg}d}t ||dd|}tg dg d	g d
g}t|| d S )NrA   rT   rt   ru   rB   r   fill)      r}   rX   rG   )rF   (   rz   @   r   )rG   .   C   rz   0   r   r   r   )rL   rM   rN   ZfillvalrO   r   rP   rP   rQ   test_fillvalue#  s   z_TestConvolve2d.test_fillvaluec              	   C   s   d}t j 1}|t jd tt|d tdggddggdd W d    n1 s,w   Y  W d    n1 s;w   Y  d}tt|d tdggddggddgd W d    d S 1 sbw   Y  d S )	Nz2could not cast `fillvalue` directly to the output zCasting complex valuesmatchrB   rC   r   	fillvaluez,`fillvalue` must be scalar or an array with )ri   testingr   filterZComplexWarningr   r   r   )rL   msgsuprP   rP   rQ   test_fillvalue_errors-  s   "z%_TestConvolve2d.test_fillvalue_errorsc                 C   s    t ttdggddggg d d S )NrB   rC   r  r   r   r   r   rP   rP   rQ   test_fillvalue_empty8  s   
z$_TestConvolve2d.test_fillvalue_emptyc                 C   sV   g dg dg}g dg dg}t ||dd}tg dg dg dg}t|| d S )	NrA   rT   rt   ru   r   wrap)r  r  J   r  r  )D   r#  rz   r#  r#  r  r   rP   rP   rQ   test_wrap_boundary=     z"_TestConvolve2d.test_wrap_boundaryc                 C   sV   g dg dg}g dg dg}t ||dd}tg dg dg d	g}t|| d S )
NrA   rT   rt   ru   r   symm)rX   ry   ,   rz   B   )r   r  rz   r  T   )R   r   \   n   r   r  r   rP   rP   rQ   test_sym_boundaryF  r%  z!_TestConvolve2d.test_sym_boundaryfunczboundary, expectedr&  )g     B@      E@      F@g     F@r!  )     E@r1  r0       C@c                 C   s8   t g dg}t d}|||d|d}t|| d S )N)       @            @      @)rB      rU   rW   boundary)ri   r   onesr   )rL   r/  r:  r   imageZkernelresultrP   rP   rQ   test_same_with_boundaryO  s   	
z'_TestConvolve2d.test_same_with_boundaryc                 C   sh   dd l m} tjddtddd}tjddtddd}t||dd	d
}t||j||d	dd d S )Nr   rB   r}   r   rD   r=   e   rU   r!  r9  )r   r   )rW   origin)	scipy.ndimagendimageri   r   floatrj   r   r   r   )rL   ndirM   rN   rO   rP   rP   rQ   test_boundary_extension_same`  s
   z,_TestConvolve2d.test_boundary_extension_samec                 C   s   dd l m} tjddtddd}tjddtddd}t||dd	d
}t|dd	}t||j	||d	dd dd df  d S )Nr   rB   rD   r   r=   %   r@   r   r!  r9  )r=   r=   rG  rV   r   )
rA  rB  ri   r   rC  rj   r   padr   r   )rL   rD  rM   rN   rO   ZapadrP   rP   rQ   test_boundary_extension_fullj  s   *z,_TestConvolve2d.test_boundary_extension_fullc                 C   r   r   )ri   r   rj   r   r   r   r   rP   rP   rQ   r   u  r   z#_TestConvolve2d.test_invalid_shapesN)r   r   r   r   r	  r  r  r  r   r$  r.  pytestmarkparametrizer   r   r>  rE  rI  r   rP   rP   rP   rQ   r      s&    	
		
r   c                   @   sH   e Zd Zdd Zdd Zdd Zdd Zejj	ej
d	d
d ZdS )TestConvolve2dc                 C   sN   g dg dg}g dg dg}t ||d}tg dg dg}t|| d S )NrA   rT   r   r   rU   )rE   rF   rX   )r  r  r  r  )rL   r   r   r  r  rP   rP   rQ   r     s   zTestConvolve2d.test_same_modec                 C   s   g dg dg}g dg dg}g dg}t ||d}t|| t ||d}t|| ddgd	d
gg}g dg dg}ddgg}t ||d}t|| t ||d}t|| d S )NrA   rT   r   r   r  r   r\   r   r^         @        )r         @       @rN  )rN  y      @      ?y      @      y      ;@      y      G@       @)r   r   )rL   r   r   r   r   rP   rP   rQ   r     s   




zTestConvolve2d.test_valid_mode2c              	   C   st   t d}t g d}dD ])}tt j|||dtj|||d tt tj|g|g|dtj|||d qd S )Nr?   g	@gffffff?r=   r   r   rU   rV   )ri   r   r   r
   r   r   squeezer   rL   rM   rN   rW   rP   rP   rQ   test_consistency_convolve_funcs  s   
z.TestConvolve2d.test_consistency_convolve_funcsc                 C   s>   t ttdd t ttdgdg t ttdgggdggg d S )Nr=   r>   r  r   rP   rP   rQ   test_invalid_dims  s   z TestConvolve2d.test_invalid_dimsz!Can't create large array for testc                 C   s   ddt  j  }td| d t  j d  t jd| t jd}d|d d d< t jjj||dfdd	}t	
|ddgg}t |dk}|d
 jd
ksOJ d S )Nl          rC     g    .Ar   rB   )iH  r   )shapestridesr   )ri   r   itemsizer;   Zcheck_free_memoryzeroslibZstride_tricksZ
as_stridedr   r   wherer   )rL   r   rM   countZfailsrP   rP   rQ   test_large_array  s    zTestConvolve2d.test_large_arrayN)r   r   r   r   r   rT  rU  rJ  rK  slowZxfail_on_32bitr_  rP   rP   rP   rQ   rM    s    
rM  c                   @   s  e Zd Zejdddddgddggdd Zejdddgddggd	d
 Zejdddddgddggdd Zejdddgddggdd Z	ejdddddgddgddgddgddgddgddgddgg
dd Z
ejdddgddgddgddgddgddgddgddggdd Zejdddddgddgddgddgddgddgddgddgg
dd Zejdddgddgddgddgddgddgddgddggdd Zejdddddgddggdd Zejddddgdggdd Zejdddddgddggdd Zejdddggdd  Zejdddddgddggd!d" Zejdddgddggd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zejdddddgddggd-d. Zejdddgddggd/d0 Zejddd1gd1dgddgddgd2d1gd1d2gd2dgdd2ggd3d4 Zejjejd5eedd6eed7d8 ej d9!d:d;d<"  d=d> Z#d?d@ Z$dS )ATestFFTConvolveaxes Nr   r   c                 C   H   t g d}t g d}|dkrt||}nt|||d}t|| d S )NrA   rB   r>   rD   rI         "@rc  rb  r   r   r   rL   rb  rM   r   r   rP   rP   rQ   	test_real  s   zTestFFTConvolve.test_realrB   c                 C   T   t g d}t g d}t|ddg}t|ddg}t|||d}t|| d S )NrA   re  rC   rB   rg  r   ri   tiler   r   ri  rP   rP   rQ   test_real_axes     zTestFFTConvolve.test_real_axesc                 C   rd  )Nr\          @       @y      @      @r_   y               @y              4@y              8@y              2@rc  rg  rh  ri  rP   rP   rQ   rc     s   zTestFFTConvolve.test_complexc                 C   rk  )Nrp  rr  rC   rB   rg  rl  ri  rP   rP   rQ   test_complex_axes  ro  z!TestFFTConvolve.test_complex_axesc                 C   ^   t g dg dg}t g dg dg dg}|dkr!t||}nt|||d}t|| d S )NrA   ru   rB   r>   rD   rI   r   r   r  8   r   r   rw   r  r   r   r   rc  rg  rh  ri  rP   rP   rQ   test_2d_real_same  s   z!TestFFTConvolve.test_2d_real_samerC   c                 C   j   t g dg dg}t g dg dg dg}t|g d}t|g d}t|||d}t|| d S )NrA   ru   rv  rw  ry  rC   rB   rB   rg  rl  ri  rP   rP   rQ   test_2d_real_same_axes
  s   	z&TestFFTConvolve.test_2d_real_same_axesc                 C   ru  )N      ?       @      @      @y      @      @r]   y      @      @y      @      @y            @y      $      4@y      5      L@y      2      S@y      &      N@y              $@y              F@y             ]@y             c@y             ^@r  y      $@      4@y      5@      L@y      2@      S@y      &@      N@rc  rg  rh  ri  rP   rP   rQ   test_2d_complex_same  s   z$TestFFTConvolve.test_2d_complex_samec                 C   r{  )Nr~  r  r  r  r  r|  rg  rl  ri  rP   rP   rQ   test_2d_complex_same_axes9  s   	z)TestFFTConvolve.test_2d_complex_same_axesc                 C   s   t g d}t g d}t g d}t g d}|dkr#t||d}nt||d|d}t|| |dkr;t||d}nt||d|d}t|| d S )NrA   	r=   r=   r?   r@   r   rv   r   r   rB        A@     D@     G@	rf  g      4@      9@r  r  r  r3  g      <@r4  rc  rU   rg  rh  rL   rb  rM   rN   Z
expected_1Z
expected_2r   rP   rP   rQ   test_real_same_modeP  s   
z#TestFFTConvolve.test_real_same_modec                 C   s   t g d}t g d}t g d}t g d}t|ddg}t|ddg}t|ddg}t|ddg}t||d|d}t|| t||d|d}t|| d S )	NrA   r  r  r  rC   rB   rU   rg  rl  r  rP   rP   rQ   test_real_same_mode_axesc  s   
z(TestFFTConvolve.test_real_same_mode_axesc                 C      t g d}t g d}t g d}|dkrt||d}nt||d|d}t|| |dkr5t||d}nt||d|d}t|| d S )Nr=   rC   rB   r  g      8@g      ?@r  r2  g     H@r        (@rc  r   rg  rh  rL   rb  rM   rN   r   r   rP   rP   rQ   test_valid_mode_realu  s   
z$TestFFTConvolve.test_valid_mode_realc                 C   sr   t g d}t g d}t g d}t|ddg}t|ddg}t|ddg}t||d|d}t|| d S Nr  r  r  rC   rB   r   rg  rl  r  rP   rP   rQ   test_valid_mode_real_axes  s   z)TestFFTConvolve.test_valid_mode_real_axesc                 C   r  )N      @      y       @      @r   rO  y      @      y      @        y      @      y       @        y     F@      (@y      >@      7@y      H@      @@rc  r   rg  rh  r  rP   rP   rQ   test_valid_mode_complex  s   
z'TestFFTConvolve.test_valid_mode_complexc                 C   s   t g d}t g d}t g d}t|ddg}t|ddg}t|ddg}t||d|d}t|| t||d|d}t|| d S )Nr  r  r  rC   rB   r   rg  rl  r  rP   rP   rQ   test_valid_mode_complex_axes  s   
z,TestFFTConvolve.test_valid_mode_complex_axesc                 C   sr   t g d}t g d}t g d}t|ddg}t|ddg}t|ddg}t||ddd}t|| d S r  rl  r   rP   rP   rQ   test_valid_mode_ignore_nonaxes  s   z.TestFFTConvolve.test_valid_mode_ignore_nonaxesc                 C   F   t tg g jdk t tddgg jdk t tg dgjdk d S Nr   r?   r@   rv   )r   r   r   r   rP   rP   rQ   
test_empty     zTestFFTConvolve.test_emptyc                 C   ,   t d}t d}t||}t|||  d S rp   r   r   r	   rL   rM   rN   r   rP   rP   rQ   rd        
zTestFFTConvolve.test_zero_rankc                 C   ro   rp   r  r  rP   rP   rQ   rq     rr   z#TestFFTConvolve.test_single_elementc                 C   s   t jd t jddt jd  }t jddt jd  }t ||d}|dkr4t||d}nt||d|d}tt j||dd	 d S )
N    r   )  r   rc  rg  绽|=r   )ri   r   r   randr   r   r   allcloser  rP   rP   rQ   test_random_data  s   z TestFFTConvolve.test_random_datac                 C   s   t jd t jddt jd  }t jddt jd  }t ||d}t |ddg}t |ddg}t |ddg}t||d|d}tt j||d	d
 d S )Nr  r  r   r  r   rC   rB   rg  r  r  )	ri   r   r   r  r   rm  r   r   r  r  rP   rP   rQ   test_random_data_axes  s   z%TestFFTConvolve.test_random_data_axesr>   c                 C   s<  d\}}t jd t jj| dt jj|   }t jj| dt jj|   }t||d}|d d d d d d d f }|d d d d d d d f }|d d d d d d d f }t |dddd}t |dddd}t |dddd}t |g d	}t |g d
}t |g d}t||d|d}t	||ddd d S )N)){   rE   )      r  r   r   r   rC   rB   r>   )rC   rB   r=   rB   rB   )rC   rB   rB   r>   rB   )rC   rB   r=   r>   rB   rg  r  r   )
ri   r   r   r  r   Zmoveaxisswapaxesrm  r   r   )rL   rb  Za_shaperm   rM   rN   r   r   rP   rP   rQ   test_random_data_multidim_axes  s    	z.TestFFTConvolve.test_random_data_multidim_axesr   r   rV  i  r  rW  '  r?   c                 C   s   t j|dt j|  }t j|dt j|  }t ||d}t||d}t||dd t||ddgd}t||dd d S )Nr   r   r  r   r   rg  )ri   r   r  r   r   r   )rL   r   rM   rN   r   r   rP   rP   rQ   test_many_sizes  s   zTestFFTConvolve.test_many_sizesc              	   C   s   d}t jd}||}t jt jfD ],}||d< tdd}tj	t
dd tj||dd	d
 W d    n1 s:w   Y  qd S )NrV  l   [<zn( r      皙?zUse of fft convolutionr  rU   r   r   )ri   r   Zdefault_rngstandard_normalnaninfr   firwinrJ  warnsRuntimeWarningr   )rL   r   rngZsig_nanvalZcoeffsrP   rP   rQ   test_fft_nan"  s   
zTestFFTConvolve.test_fft_nan)%r   r   r   rJ  rK  rL  rj  rn  rc   rs  rz  r}  r  r  r  r  r  r  r  r  r  r  rd   rq   r  r  r  r`  listrk   ri   r   RandomStaterandinttolistr  r  rP   rP   rP   rQ   ra    s    























ra  c                  O   s   t d)NzFell back to fftconvolve)RuntimeError)r   r   rP   rP   rQ   fftconvolve_err.  s   r  c                 C      dd t | ddD S )Nc                 S   s(   g | ]\}}t || d kr||fqS )r=   )absr   rM   rN   rP   rP   rQ   r   3  s    z!gen_oa_shapes.<locals>.<listcomp>rC   repeatr   sizesrP   rP   rQ   gen_oa_shapes2     r  c                 C   s@   t | }t | }dd t||D }g d}dd t||D S )Nc                 S   s   g | ]\}}|| qS rP   rP   )r   Zishapes0Zishapes1rP   rP   rQ   r   :  r   z$gen_oa_shapes_2d.<locals>.<listcomp>rQ  c                 S   sb   g | ]-\}}|d ks*|d |d kr|d |d ks*|d |d k r|d |d k r||f qS )r   r   rB   rC   r=   rP   )r   ZishapesZimoderP   rP   rQ   r   >  s      )r  zipr   )r  Zshapes0Zshapes1ZshapesmodesrP   rP   rQ   gen_oa_shapes_2d7  s   r  c                 C   r  )Nc                 S   s    g | ]\}}||kr||fqS rP   rP   r  rP   rP   rQ   r   E  s    z$gen_oa_shapes_eq.<locals>.<listcomp>rC   r  r   r  rP   rP   rQ   gen_oa_shapes_eqD  r  r  c                   @   s  e Zd Zej ejdeee	dee	ddd dd Z
ejdeg dejdd	d
gejdg ddd Zejdddgejdeg dejdddgejdddgejdd	d
gejdg ddd Zejdeg dejdd	d
gdd Zejdddgddgddggejdeg dejdddgejdddgejdd	d
gdd Zdd Zd d! Zd"d# Zd$S )%TestOAConvolvezshape_a_0, shape_b_0r   rV  rH   c                 C   s:   t j|}t j|}t||}t||}t|| d S N)ri   r   r  r   r   r   )rL   	shape_a_0	shape_b_0rM   rN   r   r   rP   rP   rQ   test_real_manylensJ  s
   

z!TestOAConvolve.test_real_manylens)r   /   r@   r>   rB   
is_complexTFrW   rQ  c           
      C   s~   t j|}t j|}|r"|dt j|  }|dt j|  }t|||d}|tjdt t|||d}	t	|	| d S Nr   rV   r   
ri   r   r  r   setattrr   Z_signaltoolsr  r   r   )
rL   r  r  r  rW   monkeypatchrM   rN   r   r   rP   rP   rQ   test_1d_noaxesX  s   
zTestOAConvolve.test_1d_noaxesrb  r   rB   )r   r  r@   r>   shape_a_extrar=   shape_b_extrac	                 C   s   |gd }	|gd }
||	|< ||
|< t jj|	 }t jj|
 }|r4|dt jj|	   }|dt jj|
   }t||||d}|tjdt t||||d}t	|| d S )NrC   r   rW   rb  r   r  )rL   rb  r  r  r  r  r  rW   r  ax_aax_brM   rN   r   r   rP   rP   rQ   test_1d_axesl  s   



zTestOAConvolve.test_1d_axesz0shape_a_0, shape_b_0, shape_a_1, shape_b_1, modec                 C   s   t j||}t j||}	|r&|dt j||  }|	dt j||  }	t||	|d}
|tjdt t||	|d}t	||
 d S r  r  )rL   r  r  	shape_a_1	shape_b_1rW   r  r  rM   rN   r   r   rP   rP   rQ   test_2d_noaxes  s   
zTestOAConvolve.test_2d_noaxesrC   c                 C   s   |gd }|gd }|||d < |||d < |||d < |||d < t jj| }t jj| }|	rD|dt jj|   }|dt jj|   }t||||d}|
tjdt t||||d}t	|| d S )Nr=   r   rB   r   r  r   r  )rL   rb  r  r  r  r  rW   r  r  r  r  r  r  rM   rN   r   r   rP   rP   rQ   test_2d_axes  s"   


zTestOAConvolve.test_2d_axesc                 C   r  r  )r   r   r   r   rP   rP   rQ   r    r  zTestOAConvolve.test_emptyc                 C   r  rp   r   r   r	   r  rP   rP   rQ   rd     r  zTestOAConvolve.test_zero_rankc                 C   ro   rp   r  r  rP   rP   rQ   rq     rr   z"TestOAConvolve.test_single_elementN)r   r   r   rJ  rK  r`  rL  r  r  rk   r  r  r  r  r  r  r  r  rd   rq   rP   rP   rP   rQ   r  I  sN    	



r  c                   @   s   e Zd Zejdeegdd Zejdeegdd Z	ejddgdfddgfd	gdggfgejdeegd
d Z
ejdeegdd Zejdejejgdd ZdS )TestAllFreqConvolvesconvapproachc                 C   sd   t ddd}t ddd}ttdd |||d	d
 W d    d S 1 s+w   Y  d S )NrB   rv   r   r   r   r   zOFor 'valid' mode, one must be at least as large as the other in every dimensionr  r   rV   )ri   r   rj   r   r   rL   r  rM   rN   rP   rP   rQ   r     s   "z(TestAllFreqConvolves.test_invalid_shapesc                 C   s`   t g d}t g d}ttdd |||ddgd W d    d S 1 s)w   Y  d S )N)r?   r@   rC   rB   )r?   r@   r=   rB   zVincompatible shapes for in1 and in2: \(5L?, 6L?, 2L?, 1L?\) and \(5L?, 6L?, 3L?, 1L?\)r  r   rB   rg  )ri   r[  r   r   r  rP   rP   rQ   test_invalid_shapes_axes  s   "z-TestAllFreqConvolves.test_invalid_shapes_axesza,brB   rC   r=   c                 C   s<   t tdd ||| W d    d S 1 sw   Y  d S )Nz/in1 and in2 should have the same dimensionalityr  r   r   )rL   rM   rN   r  rP   rP   rQ   r     s
   "z)TestAllFreqConvolves.test_mismatched_dimsc                 C   s  t tdd |dgdgdd W d    n1 sw   Y  t tdd |dgdgg d W d    n1 s9w   Y  t td	d |dgdgddgd
dggd W d    n1 s^w   Y  t td	d |dgdgg dd W d    n1 sw   Y  t tdd |dgdgdgd W d    n1 sw   Y  t tdd |dgdgdgd W d    n1 sw   Y  t tdd |dgdgddgd W d    d S 1 sw   Y  d S )Nz4acceptable mode flags are 'valid', 'same', or 'full'r  rB   rC   ZchipsrV   z#when provided, axes cannot be emptyrg  z-axes must be a scalar or iterable of integersr=   r>   )      ?r4  r6  r7  z$axes exceeds dimensionality of inputrt  zall axes must be uniquer   r  )rL   r  rP   rP   rQ   test_invalid_flags  s>    "z'TestAllFreqConvolves.test_invalid_flagsr   c                 C   sp   t jd|}t jd|}t | r |d7 }|d8 }t||}t|t||dd |j|ks6J d S )N)re   re   )r>   r>   y        ?rf   rg   )ri   r   r   Ziscomplexobjr   r   r   r   )rL   r   r`   ra   resrP   rP   rQ   test_longdtype_input  s   
z)TestAllFreqConvolves.test_longdtype_inputN)r   r   r   rJ  rK  rL  r   r   r   r  r   r  ri   Z	longfloatZlongcomplexr  rP   rP   rP   rQ   r    s2    

	
r  c                   @   sD  e Zd Zg dg dg dg dg dg dg dg dg d	g d
g
Zg dg dg dg dg dg dg dg dg dg dg
ZddgZdd Zej	de
je
je
je
je
jee
je
je
je
jg
dd Zdd Zej	de
je
je
je
je
jgdd Zd d! Zd"d# Zd$d% Zej	de
je
je
jgd&d' Zd(S ))TestMedFilt)
r   r   r   r   r   r+     re   r   r  )
r   r   r   r   r   r   H   M   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   r8  r(  )
r   a   rF   r#  r   r  r   r{   G   r   )
r  r   r'  r  r#  rG   r  r#  r  r)  )
r=   !   r   r  rB   r   r"  7   rI   S   )
rv   r  r  r   r   r  r  +   r   r  )
rG   r   X   rv   '   r>   r+  r  r   r   )
r   r   r   r   r   r  r  r  re   r   )
r   r   r   r   r   r   r  r8  r  r   )
r   r   r   r   r   r  rX   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  )
rG   r   r   r   r   r  r  r   r  r  )
rv   r  r   r   r  r  r  r  r   r8  )
r   rG   r  r  rG   rG   r  r  r  r   )
r   rv   r  rv   r>   r>   r  r  r  r   rv   r=   c                 C   sB   t | j| j}t t| jt| j}t|| j	 t|| d S r  )
r   medfiltINKERNEL_SIZE	medfilt2dri   r   rC  r   OUT)rL   r   r   rP   rP   rQ   rR   ;  s   zTestMedFilt.test_basicr   c                 C   s8   t j| j|d}tt|j| tt|j| d S )Nr   )ri   r   r
  r	   r   r	  r   r  rL   r   in_typedrP   rP   rQ   
test_typesA  s   zTestMedFilt.test_typesc                 C   s   t j}t j| j|d}d}tj|d tt|j	| W d    n1 s'w   Y  tj|d tt
|j	| W d    d S 1 sGw   Y  d S )Nr   "Using medfilt with arrays of dtyper  )ri   
longdoubler   r
  rJ  deprecated_callr	   r   r	  r   r  )rL   r   r  r  rP   rP   rQ   test_types_deprecatedJ  s   "z!TestMedFilt.test_types_deprecatedc                 C   s   t j| j|d}tjtdd t| W d    n1 sw   Y  tjtdd t| W d    d S 1 s<w   Y  d S )Nr   znot supportedr  )	ri   r   r
  rJ  r   r   r   r	  r  r  rP   rP   rQ   test_invalid_dtypesT  s   "zTestMedFilt.test_invalid_dtypesc                 C   sr   t t tttjd  W d    n1 sw   Y  tjdtj	d}|dd }d|_
tt|ddk d S )NrD   r   r?   r@   rw   rB         @)rJ  r  UserWarningr   	TypeErrorr   r	  ri   r   float64rY  r   )rL   dummyrM   rP   rP   rQ   	test_none^  s   zTestMedFilt.test_nonec                 C   s   t d}tj||gtd}ttdrdt| }nd}tt	 t
|D ]}t| q&W d    n1 s8w   Y  ttdrKtt||k  t|||g d S )Nr  r   getrefcountrC   rD   )r   ri   r   r   hasattrsysr  rJ  r  r  rk   r   r	  r   r	   )rL   rM   r`   r   jrP   rP   rQ   test_refcountingj  s   

zTestMedFilt.test_refcountingc                 C   sj   d}t j|d# tj| jtd}tj| jtd}tt	|| j
| W d    d S 1 s.w   Y  d S )Nr  r  r   )rJ  r  ri   r   r
  r   r  r   r   r	  r  )rL   r  Z	in_objectZ
out_objectrP   rP   rQ   test_objectz  s   "zTestMedFilt.test_objectc           
         s  t jj|dt jj|d}j|jksJ |jd d  |jd d jd d d jd d d  fddt |}tdd*h d	}fd
d|D }t|D ]}|	 \}}}	||||	f< q`W d    n1 szw   Y  t
|| d S )Nr   r   rC   rB   c                    s   | \}}|dkrt d  }t d }t d }nt   d }t d }t  d }|dkrCt d }t d }t d}nt  d }t d }t d }||f }	t|	j}
|
||f ||fS )Nr   )slicer   r  r  )chunkMNZMinZMselZMoutZNinZNselZNoutZ
chunk_dataZmed)M1N1r  offMoffNrL   rP   rQ   apply  s$   



z2TestMedFilt.test_medfilt2d_parallel.<locals>.applyr>   )max_workers>   r   rB   )rB   r   rB   rB   r   r   c                    s   h | ]}  |qS rP   )submit)r   r#  )r*  poolrP   rQ   r     r   z6TestMedFilt.test_medfilt2d_parallel.<locals>.<setcomp>)ri   r   r
  r  rX  r  Z
zeros_liker   r   r=  r   )
rL   r   r   outputchunksfuturesfuturedataZMsliceZNslicerP   )r&  r'  r*  r  r(  r)  r0  rL   rQ   test_medfilt2d_parallel  s$   
	z#TestMedFilt.test_medfilt2d_parallelN) r   r   r   r
  r  r  rR   rJ  rK  rL  ri   ubytebyteushortshortuintint	ulonglongr   r  r  r  Zbool_Zcfloatcdoubleclongdoubler   r  r  r   r!  r6  rP   rP   rP   rQ   r  !  sP    


r  c                   @      e Zd Zdd ZdS )
TestWienerc                 C   sr   t g dg dg dg dgd}t g dg dg dg d	g}tt||d
d ttj|dd|d
d d S )N)r?   r@   r>   r=   )r=   r?   r@   rC   )rC   r=   r?   r@   )rB   r@   r   rv   r   )gSXO@gXq	@gq@g?)g]`UUU@gFUUUU@gq@gcq@)gyq@gXq@gXq@gUJ4@)gUUUU?g2k6k@gҷWH@g@_)@r@   decimalr=   )Zmysize)r   r   r   Zwiener)rL   r  r  rP   rP   rQ   rR     s   zTestWiener.test_basicNr   r   r   rR   rP   rP   rP   rQ   rA        rA  )meanmedianminimummaximumlinec                	   @   s  e Zd Zdd Zejddejddejddd	d
 Zdd Zejddejddejdddd Z	ejde
dd Zejde
dd Zejde
ejdejejgdd Zejddgeedgddge
 d d! Zd"d# Zd$d% Zd&S )'TestResamplec              	   C   s   t d}d}tdd}tttj|||d tttj|dd tttj|dd tttj|d	dd
d tttj|d	dddd t t dd}tj||d|d t	|j
dk d S )N      )kaiser       @   windowyorB   r   rC   rc  padtyperF  rD   )rU  cval)rC   rB   r   axisrR  )rP  )ri   r   r   Z
get_windowr   r   resampleresample_polyrm  r   rX  )rL   signumwinZsig2rP   rP   rQ   rR     s   
zTestResample.test_basicrR  )Nhammingr%  )r   r  r\  )r   r?  rD   r  c                 C   s   t jdd|dd}t |d  d }ttj|||dtj|d ||dj t t |d  d t |d  d g}|d }ttj||d	|d
tj||d	|d
jdd d S )Nr   rD   F)ZendpointrC   g      @rQ  r   rB   rW  &.>r  )	ri   linspacecosr   r   rY  realr   sin)rL   r%  r\  rR  r`   ra   Z	y_complexrP   rP   rQ   	test_rfft  s   .
zTestResample.test_rfftc                 C   sD   t dd }t|}d}ttj||ddtj||dddd d S )NrM  r   freq)domaintimer_  r  )ri   r   r   r   r   rY  )rL   ZtsigZfsigr\  rP   rP   rQ   test_input_domain  s   
zTestResample.test_input_domainnx)rB   rC   r=   r?   r   nyr   )rC  r
  c                 C   s2   t dg| |}t||}t|dg|  d S )NrB   )ri   r   r   rY  r   )rL   ri  rj  r   r`   ra   rP   rP   rQ   test_dc  s   zTestResample.test_dcrU  c                 C   sF   t d}t jdd}| }tj|dd||d t|| d S )Nr=   r   rC   r?   rB   rR  rU  )	ri   r[  r   r  r   copyr   rZ  r   )rL   rU  ZimpulserR  Zwindow_origrP   rP   rQ   test_mutable_window	  s
   
z TestResample.test_mutable_windowc                 C   sL   t jdt jd}t jg dt jd}tj|dd||d}|jt jks$J d S )NrD   r   rB   rB   rB   rB   rC   rl  )ri   r   r   r   r   rZ  r   )rL   rU  r`   r  ra   rP   rP   rQ   test_output_float32  s   z TestResample.test_output_float32c                 C   s4   t jd|d}tj|dd|d}|j|jksJ d S )NrD   r   rB   rC   rT  )ri   r   r   rZ  r   )rL   rU  r   r`   ra   rP   rP   rQ   test_output_match_dtype  s   z$TestResample.test_output_match_dtypezmethod, ext, padtype)r   FNZ	polyphaseFTc                  C   s  d}g d}t |t| }t dd d t jf }t dt j | | t| }|D ]}	t |	t|	 }
t dt j | |
 t|	 }|dkrUtj	||	dd}nC|r|	|krt
|	|}|	| }|| }t||}d| }d	| }tjd| d
 |dd}||d}nd|i}tj||	|fddi|}t|||D ]>\}}}|d|	 kr|d |dv rt||dd qt||dd qt|j|j t ||d }t|dk|||	fd qq-t jd}t|t || }|D ]>}	t |	t|	 }
t |
||}|dkrt	||	}n	tj||	||d}t|j|j t ||d }t|dk|d q|dkrnt ddg}t	|d}t g d}t||dd t g d }t	|d}t ddg}t||dd d S d S )!Nr   )	r~   r   r   c   r   r?     r     )r        $@g      D@rC   r   r   rX  r  rD   rB   )rN  r  rQ  rl  rU  rX        ?        )rH  rI  333333?r  r   r,  gGz?)r  r   rT  r   r   r>   )r         ?        r   rz  -q=)r  rw  rx  rw  )ri   r   rC  r   newaxisrc  pir6   r   rY  r   maxr  rZ  r  r  r   r   rX  Zcorrcoefr   r   r  Zcumsumr   Zinterp) rL   rh   extrU  raterates_tor   freqsr`   rate_tot_toZy_tos	y_resampsr  updownZmax_rateZf_cZhalf_lenrR  ZpolyargsZy_toZy_resampre  Zcorrr  r   Zy1_testZy1_truer   Zy2_testZy2_truerP   rP   rQ   test_resample_methods"  st     





z"TestResample.test_resample_methodsc                 C   s   t jd}tt jt jttf}d}g d}|D ]Z}||	|}|t jt j
fv r2|d|| 7 }d|d< d|d< |D ]4}tjdd| d	d
}t|d|ddd d | }	t||d d d }
tj|d||
d
}t|	|ddd q<qd S )Nrx   r  )rC   r  O   r   r   r   r}   r  r^  rQ  constantrT  rB   Hz>r   r   )ri   r   r  r<  r   r   rC  r
  r   r   
complex128r   r  r$   r   rZ  r   )rL   Zrandom_stateZ	try_typesr   Zdown_factorsr   r`   r  r  yfZhcra   rP   rP   rQ   test_poly_vs_filtfiltt  s$   z"TestResample.test_poly_vs_filtfiltc              	   C   s   dD ]=}t dd|D ]4}dD ]/}tj|f}tj|f}t||d d d dd}tj|d||d}t|d d | | qq
qd S )	N)rC   r>   rB   r  )rG   r  r   r  rV   )r  r  rR  )rk   ri   r   r   r   rZ  r   )rL   r  ri  Znweightsr`   weightsZy_gZy_srP   rP   rQ   test_correlate1d  s   zTestResample.test_correlate1dN)r   r   r   rR   rJ  rK  rL  rd  rh  rk  padtype_optionsrn  rp  ri   r   r  rq  r  r   r  r  r  rP   rP   rP   rQ   rK    s>    



	IrK  c                   @   s   e Zd Zdd Zdd ZdS )TestCSpline1DEvalc                 C   sx   t g d}tt|}|d |d  }t|}tt|d d }tj||||d d}t|d d d |dd d S )	N)	rB   rC   r=   r>   r=   rC   rB   rC   r6  rB   r   ru  )dxZx0rD   r?   rB  )r   r   lenr   	cspline1dcspline1d_evalr   )rL   ra   r`   r  cjr   y2rP   rP   rQ   rR     s   
zTestCSpline1DEval.test_basicc                 C   st   t d}t j|jt jd}d}d| }t dt j | | }t|}t 	dg}t
||}t|j|j d S )NrC   r   ru  r  r_   rw  )ri   r   r[  rX  r   expr}  r   r  r   r  r	   r   )rL   r`   ra   Tr   cyZxnewZynewrP   rP   rQ   rc     s   

zTestCSpline1DEval.test_complexN)r   r   r   rR   rc   rP   rP   rP   rQ   r    s    r  c                   @   r@  )TestOrderFiltc                 C   s$   t tg dg ddg d d S )NrA   rB   r   rB   rB   )rC   r=   rC   )r   r   Zorder_filterr   rP   rP   rQ   rR     s   zTestOrderFilt.test_basicNrD  rP   rP   rP   rQ   r    rE  r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3S )4_TestLinearFilterc                 C   s.   t dt |d t ||}| |S )Nr   rB   )ri   r`  prodrj   convert_dtype)rL   rX  r`   rP   rP   rQ   generate  s   $
z_TestLinearFilter.generatec                 C   s~   | j t dkr6t|}t|j| j }t||gddgdgdgg}|D ]\}}| |d |d< q&|S tj|| j dd	S )
NOZrefs_okZzerosize_okreadonlyZ	writeonlyrP   .F)rm  )r   ri   asarrayemptyrX  Znditertyper   )rL   Zarrr   iterr`   ra   rP   rP   rQ   r    s   

z_TestLinearFilter.convert_dtypec                 C   sJ   |  d}| ddg}| ddg}| g d}tt|||| d S Nr@   rB   r   rw        ࿩r   rC   r>   r@   r   ru  r  r  r   r"   rL   r`   rN   rM   y_rrP   rP   rQ   test_rank_1_IIR  s
   
z!_TestLinearFilter.test_rank_1_IIRc                 C   sH   |  d}| ddg}| dg}| g d}tt|||| d S )Nr  rB   r   rB   r=   r?   rv   rf  r  r  rP   rP   rQ   test_rank_1_FIR  s
   
z!_TestLinearFilter.test_rank_1_FIRc           	      C   s|   |  d}| g d}| ddg}| ddg}| g d}| dd	g}t||||d
\}}t|| t|| d S )Nr  rB   r   r   rw  r  rB   rC   )rB   r?   r      rx   r8  r  zir  r  r"   r   	rL   r`   rN   rM   r  r  zf_rra   zfrP   rP   rQ   test_rank_1_IIR_init_cond  s   

z+_TestLinearFilter.test_rank_1_IIR_init_condc           	      C   sz   |  d}| g d}| dg}| ddg}| g d}| ddg}t||||d\}}t|| t|| d S )Nr  ro  rB   )rB   rC   r=   r@   r   r  r   r?   r  r  r  rP   rP   rQ   test_rank_1_FIR_init_cond  s   

z+_TestLinearFilter.test_rank_1_FIR_init_condc                 C   sf   |  d}| ddg}| ddg}| g dg dg dg dg}t|||dd}t|| d S )	Nr>   r=   rB   r   rw  r   rC   r>   r@   r>   rC   r   rv  r  )rL   r`   rN   rM   y_r2_a0ra   rP   rP   rQ   test_rank_2_IIR_axis_0     
z(_TestLinearFilter.test_rank_2_IIR_axis_0c                 C   sf   |  d}| ddg}| ddg}| g dg dg dg dg}t|||dd	}t|| d S )
Nr  rB   r   rw  r   rC   r   r@   r  r@   rI   r  rI   r  ir  rv  r  )rL   r`   rN   rM   y_r2_a1ra   rP   rP   rQ   test_rank_2_IIR_axis_1  r  z(_TestLinearFilter.test_rank_2_IIR_axis_1c           	      C   s   |  d}| ddg}| ddg}| td}| g dg dg dg d	g}| g d
d d tjf }t|||d|d\}}t|| t|| d S )Nr  rB   r   rw  )r>   rB   ro  )rv   rv   )r  r  )r  r  )r  r  iirX  r  )r  r  ri   r;  r|  r"   r   )	rL   r`   rN   rM   r  Z	y_r2_a0_1r  ra   r  rP   rP   rQ    test_rank_2_IIR_axis_0_init_cond
  s   

z2_TestLinearFilter.test_rank_2_IIR_axis_0_init_condc           	      C   s   |  d}| ddg}| ddg}| td}| g dg dg dg dg}| g dg}t|||d	|d
\}}t|| t|| d S )Nr  rB   r   rw  )rB   r=   )rB   r=   r?   )r?   r=   rB   )r  r  r   r  )r  r  ri   r;  r"   r   )	rL   r`   rN   rM   r  Z	y_r2_a0_0r  ra   r  rP   rP   rQ    test_rank_2_IIR_axis_1_init_cond  s   

z2_TestLinearFilter.test_rank_2_IIR_axis_1_init_condc                    sj   |  d}| ddg| ddg t|jD ]}t ||}t fdd||}t|| qd S )Nr>   r=   rC   rB   r   rw  c                       t  | S r  r"   wrM   rN   rP   rQ   <lambda>+      z3_TestLinearFilter.test_rank_3_IIR.<locals>.<lambda>r  r  rk   ndimr"   ri   apply_along_axisr   rL   r`   rX  ra   r  rP   r  rQ   test_rank_3_IIR$  s   
z!_TestLinearFilter.test_rank_3_IIRc                    s   |  d}| ddg| ddg t|jD ]K}t|j}d||< | t|}| dgt |||\}} fdd} fdd}t	|||}	t	|||}
t
||	 t
||
 qd S )	Nr  rB   r   rw  c                       t  | dd S Nr  r   r  r  rM   rN   zi1rP   rQ   lf09     z8_TestLinearFilter.test_rank_3_IIR_init_cond.<locals>.lf0c                    r  Nr  rB   r  r  r  rP   rQ   lf1;  r  z8_TestLinearFilter.test_rank_3_IIR_init_cond.<locals>.lf1r  r  rk   r  r  rX  ri   r;  r"   r  r   rL   r`   rX  Zzi_shaper  ra   r  r  r  r  r  rP   r  rQ   test_rank_3_IIR_init_cond.  s    


z+_TestLinearFilter.test_rank_3_IIR_init_condc                    sh   |  d}| g d| dg t|jD ]}t ||}t fdd||}t|| qd S )Nr  r  rB   c                    r  r  r  r  r  rP   rQ   r  I  r  z3_TestLinearFilter.test_rank_3_FIR.<locals>.<lambda>r  r  rP   r  rQ   test_rank_3_FIRB  s   
z!_TestLinearFilter.test_rank_3_FIRc                    s   |  d}| g d| dg t|jD ]L}t|j}d||< | t|}| ddgt |||\}} fdd} fdd}t	|||}	t	|||}
t
||	 t
||
 qd S )	Nr  r  rB   rC   c                    r  r  r  r  r  rP   rQ   r  W  r  z8_TestLinearFilter.test_rank_3_FIR_init_cond.<locals>.lf0c                    r  r  r  r  r  rP   rQ   r  Y  r  z8_TestLinearFilter.test_rank_3_FIR_init_cond.<locals>.lf1r  r  rP   r  rQ   test_rank_3_FIR_init_condL  s    


z+_TestLinearFilter.test_rank_3_FIR_init_condc              
   C   s   |  d}tjdddd\}}| |}| |}|jd d }| tdd	|f}| tdd|f}t||||d
\}}t||||d
\}	}
t|	| t||
 t	t
t|||dt| d S )N)r>   r?   r   r   r  bar1  r   rB   r>   r?   r  r   )r  r   r%   r  rX  ri   r;  r"   r   r   r   )rL   r`   rN   rM   Zzi_sizeZzi_fullZzi_singZy_fullZzf_fullZy_singZzf_singrP   rP   rQ   test_zi_pseudobroadcast`  s   




z)_TestLinearFilter.test_zi_pseudobroadcastc                 C   sP   |  d}| g d}| dg}| g d}t||d |}t|| d S )Nr@   r  rB   )r   rB   rC   rC   rC   rC   r   r  )rL   r`   rN   rM   r  ra   rP   rP   rQ   test_scalar_au  s   
z_TestLinearFilter.test_scalar_ac                 C   s6  |  tdd}|  tdd}|  tg d}tdd}|dd d d d f  d9  < |dd d d d f  d9  < |  |}|  td	d}tdd}dggdggdggg|d d d d d d
f< |  |}t|||d|\}}t|| t|| t||d |d|\}	}
t|	| t|
| d S )N)r=   rC   r?   lr?   rB   r   r   )r=   rB   r>   rB   rC   r=   )r=   rC   r>   r>   r   r   )r  ri   r[  r;  r   r"   r   )rL   r`   rN   rM   r  Zzf_expectedZ
y_expectedZy_iirZzf_iirZy_firZzf_firrP   rP   rQ   test_zi_some_singleton_dims  s"   
,



z-_TestLinearFilter.test_zi_some_singleton_dimsc                 C   s@   |  |}|  |}|  |}|  |}ttt||||| d S r  )r  r   r   r"   )rL   rN   rM   r`   rX  r  rP   rP   rQ   base_bad_size_zi  s
   



z"_TestLinearFilter.base_bad_size_zic                 C   s	  t d}| dgdg|ddg | ddgdg|dddg | ddgdg|ddgg | ddgdg|dg d | g ddg|ddgg | g ddg|dg d | dgddg|dddg | dgddg|ddgg | dgddg|dg d | g dddg|ddg | g dddg|ddgdgg | g dddg|dg d | g dddg|dg d | ddgg d|ddg | ddgg d|ddgdgg | ddgg d|dg d | ddgg d|dg d t dd	}| dgdg|ddg | ddgdg|dg d | ddgdg|dg dgg | ddgdg|ddgdgd
gg | ddgdg|dddgg | ddgdg|dg dg | g ddg|dg d | g ddg|dg dg dgg | g ddg|dddgd
dgddgg | g ddg|dddgd
dgg | g ddg|dg dg dg | dgddg|dg d | dgddg|dg dgg | dgddg|ddgdgd
gg | dgddg|dddgg | dgddg|dg dg | dgg d|dg d | dgg d|dg dg dgg | dgg d|dddgd
dgddgg | dgg d|dddgd
dgg | dgg d|dg dg dg | g dddg|dg d | g dddg|dg dg dgg | g dddg|dddgd
dgddgg | g dddg|dddgd
dgg | g dddg|dg dg dg | dgdg|ddg | ddgdg|dg d | ddgdg|ddgdgd
gdggg | ddgdg|dg dg | ddgdg|ddgdgd
gg | ddgdg|ddgdgd
gdgdgg | g ddg|dg d | g ddg|dddgd
dgddgddggg | g ddg|dg dg dg | g ddg|dddgd
dgddgg | g ddg|dddgd
dgddgddgddgg | dgddg|dg d | dgddg|ddgdgd
gdggg | dgddg|dg dg | dgddg|ddgdgd
gg | dgddg|ddgdgd
gdgdgg | dgg d|dg d | dgg d|dddgd
dgddgddggg | dgg d|dg dg dg | dgg d|dddgd
dgddgg | dgg d|dddgd
dgddgddgddgg | g dddg|dg d | g dddg|dddgd
dgddgddggg | g dddg|dg dg dg | g dddg|dddgd
dgddgg | g dddg|dddgd
dgddgddgddgg d S )Nr@   rB   r   r   r   rB   rC   ro  r   rB   rC   r=   rI   r  rC   )r   rB   rC   r=   r>   r?   rT   r=   r>   r?   )r>   r?   r@   rv   )r   rB   rC   r=   r>   r?   r@   rv   rv   r   r   )ri   r   r  rj   )rL   r   r   rP   rP   rQ   test_bad_size_zi  s   
""	 $&*$$ $&*$$(,&&*$,2$*6*$,2$*64&,<z"_TestLinearFilter.test_bad_size_zic                 C   sh   |  d}| dg}| dg}| g }t||||d\}}t|| t|j| j t|jd d S )N)r?   rB   r  r   )r  r  r"   r   r	   r   r   )rL   r`   rM   rN   r  ra   r  rP   rP   rQ   test_empty_zi  s   


z_TestLinearFilter.test_empty_zic                 C   s`   |  dg}|  dg}t||ddg}t||ddg}t||ddg}t|| t|| d S )NrB   r  r   TF)r  r+   r   )rL   rM   rN   r  Zzi_1Zzi_2rP   rP   rQ   test_lfiltic_bad_zi  s   
z%_TestLinearFilter.test_lfiltic_bad_zic           	      C   sz   |  dg}|  g d}|  ddg}|  dg}|  dg}|  ddg}t||||d\}}t|| t|| d S )	NrB   r  rC   rv   r  r"  r  r  r"   r   	rL   rM   rN   r  r`   ZyeZzfera   r  rP   rP   rQ   test_short_x_FIR  s   
z"_TestLinearFilter.test_short_x_FIRc           	      C   s|   |  ddg}|  g d}|  ddg}|  dg}|  dg}|  ddg}t||||d	\}}t|| t|| d S )
NrB   r  rC   rv   r  r"  ir  r  r  r  rP   rP   rQ   test_short_x_IIR$  s   
z"_TestLinearFilter.test_short_x_IIRc                 C   sr   |  d}| ddg}| }| ddg}| }| g d}t|||}t|| t|| t|| d S r  r  r  rm  r"   r   r	   rL   r`   rN   Zb0rM   a0r  y_frP   rP   rQ   test_do_not_modify_a_b_IIR1  s   


z,_TestLinearFilter.test_do_not_modify_a_b_IIRc                 C   sp   |  d}| g d}| }| dg}| }| g d}t|||}t|| t|| t|| d S )Nr  r  rC   )r   rw  rB   rC   r=   r7  r  r  rP   rP   rQ   test_do_not_modify_a_b_FIR=  s   


z,_TestLinearFilter.test_do_not_modify_a_b_FIRN)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  rP   rP   rP   rQ   r    s4    		


`r  c                   @      e Zd ZedZdS )TestLinearFilterFloat32r   Nr   r   r   ri   r   rP   rP   rP   rQ   r  J      r  c                   @   r  )TestLinearFilterFloat64r   Nr  rP   rP   rP   rQ   r  N  r  r  c                   @   r  )TestLinearFilterFloatExtendedr  Nr  rP   rP   rP   rQ   r  R  r  r  c                   @   r  )TestLinearFilterComplex64FNr  rP   rP   rP   rQ   r	  V  r  r	  c                   @   r  )TestLinearFilterComplex128DNr  rP   rP   rP   rQ   r  Z  r  r  c                   @   r  )TestLinearFilterComplexExtendedGNr  rP   rP   rP   rQ   r  ^  r  r  c                   @   s   e Zd ZedZdd ZdS )TestLinearFilterDecimalr  c                 C   s   t t|S r  )r   r   rL   r`   rP   rP   rQ   r  d  s   zTestLinearFilterDecimal.typeN)r   r   r   ri   r   r  rP   rP   rP   rQ   r  a  s    
r  c                   @   s   e Zd ZedZeZdS )TestLinearFilterObjectr  N)r   r   r   ri   r   rC  r  rP   rP   rP   rQ   r  h  s    
r  c                   C   sj   t tdrdtjv rtd tttdgdgg d tttdgd gg d tttd gdgg d d S )Nabiflagsr   z'test is flaky when run with python3-dbgr  )r  Nr4  r  r4  r6  )r  r  r  rJ  skipr   r  r"   rP   rP   rP   rQ   test_lfilter_bad_objectm  s
   
r  c                   C   s    t ttddgddgg d d S )NrC   r=   r>   r?   )rB   rC   r=   r>   r?   )r   NotImplementedErrorr"   rP   rP   rP   rQ   !test_lfilter_notimplemented_inputw  s    r  dtc                   @   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 )TestCorrelateRealc                 C   sF   t ddd|}t ddd|}t g d|}|||fS )Nr   r=   r>   rB   rC   )r   rC   r?   r   r=   )ri   r`  r   r   rL   r  rM   rN   r  rP   rP   rQ   _setup_rank1  s   
zTestCorrelateReal._setup_rank1c                 C   sN   d}zt |}t|drtdt |j }W |S W |S  ty&   Y |S w )Nr@   
resolutionr  )ri   finfor  r<  log10r  	Exception)rL   res_dtrC  Zdt_inforP   rP   rQ   equal_tolerance  s   

z!TestCorrelateReal.equal_tolerancec                 C   s    |t jkr| t jS | |S r  )ri   r  r!  double)rL   r   rP   rP   rQ   equal_tolerance_fft  s   

z%TestCorrelateReal.equal_tolerance_fftc                 C   s   |t krtt dgt dg}t|d d S | |\}}}t||dd}t||dd}t||| |jd t||| |jd t|j| t|j| d S )Nr>   r=   rf   r   rg   rB  )	r   r   r	   _setup_rank3r   r   r#  r   r!  )rL   r  rh   rM   rN   r  Zy_fftZy_directrP   rP   rQ   test_method  s   zTestCorrelateReal.test_methodc                 C   sr   |  |\}}}t||d}t||dd  t|j| t||d}t||dd d d d  t|j| d S )Nr   rB   r>   r   r  r   r   r	   r   rL   r  rM   rN   r  ra   rP   rP   rQ   test_rank1_valid  s   z"TestCorrelateReal.test_rank1_validc                 C   s>   |  |\}}}t||d}t||d d  t|j| d S )NrU   r   r&  r'  rP   rP   rQ   test_rank1_same  s   z!TestCorrelateReal.test_rank1_samec                 C   s6   |  |\}}}t||d}t|| t|j| d S )Nr   r&  r'  rP   rP   rQ   test_rank1_full  s   
z!TestCorrelateReal.test_rank1_fullc              
   C   s   t dddjddd|}t dddjd	dd|}tg d
g dg dg dg dg dgg dg dg dg dg dg dgg dg dg dg dg dg dgg|d}|||fS )Nr   r  r  )rC   r>   r?   r
  )orderrH   r  rt   )rx  g      g@g     @g     @     @@g     @g     }@g      d@)g      G@g      {@g     @g     @g     @     @g      @g     p@)     `@g      @g     @g     @     @g     @g     @@g     s@)g     @p@g     @g     0@g     @g     p@g     (@g     `@g     t@)g     @i@g     @     (@g      @g      @g     ؘ@g     @@g     b@)g     \@g     u@g     @g      @g      @g     @g     r@g      C@)g      7@g      y@g     ,@     @g     @g     $@g     @@g     Pr@)r.  g     @g     @g     @g     @g     ԩ@g     @g     }@)g     Pt@g      @g     R@g     @g     (@g     K@g      @g     @)g     ؁@g     @g     f@g     @g     (@g     }@g     (@g     @)g      {@r,  g     4@r/  g     @g     ܧ@g     @     l@)g      n@g     @g     @g     @g     @g     @g     @r3  )g      6@g     j@g     @g     @g     Д@g     p@g     z@g     `@)g     U@g     @~@g     (@r1  g     P@g     @g      @g     i@)g     g@g     @r-  g     X@g     @g     @g     Џ@g     @k@)g     @s@g     p@g     x@g     h@g     @g     @g     ؐ@r2  )r2  g     @r0  g      @g     @g     Ȗ@g     @g     S@)g     _@g      v@g     @g     @g     @g     p@g     @m@rx  r   )ri   r`  rj   r   r   r  rP   rP   rQ   r$    s>   
zTestCorrelateReal._setup_rank3c                 C   s   |  |\}}}t||d}t||ddddddf  t|j| t||d}t||ddddddf d d dd d dd d df  t|j| d S )Nr   rB   rC   r>   r=   r?   r   r$  r   r   r	   r   r'  rP   rP   rQ   test_rank3_valid  s    <z"TestCorrelateReal.test_rank3_validc                 C   sL   |  |\}}}t||d}t||ddddddf  t|j| d S )NrU   r   r   rB   rt  r3  r'  rP   rP   rQ   test_rank3_same  s    z!TestCorrelateReal.test_rank3_samec                 C   s4   |  |\}}}t||}t|| t|j| d S r  r3  r'  rP   rP   rQ   test_rank3_all  s   

z TestCorrelateReal.test_rank3_allN)r   r   r   r  r!  r#  r%  r(  r)  r*  r$  r4  r5  r6  rP   rP   rP   rQ   r  |  s    r  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestCorrelatec                 C   r   r   )ri   r   rj   r   r   r   r   rP   rP   rQ   r     r   z!TestCorrelate.test_invalid_shapesc                 C   r   r   r   r   r   r   rP   rP   rQ   r     r   z!TestCorrelate.test_invalid_paramsc                 C   r   r   r8  r   rP   rP   rQ   r     r   z"TestCorrelate.test_mismatched_dimsc                 C   s   g d}ddg}t t||ddg d g d}g d}t t||ddg d t t||d	dg d
 t t||dddg d S )NrA   r>   r?   rU   rV   )r?      rH   ru   )rx   rG   rH   r   )r@   rx   rG   rH   rI   r   rG   )r   r   r   rP   rP   rQ   test_numpy_fastpath  s   z!TestCorrelate.test_numpy_fastpathN)r   r   r   r   r   r   r:  rP   rP   rP   rQ   r7    s
    		r7  rW   r   rU   r   behindTF
input_size)r   r?  rV  rW  r  i'  c                 C   s   t jd}||}t|d }|r!t |||g}| }n||d  }|}t||| d}t|j|j| d}	t 	|}
t
|	|
 | t
|	j|j d S )Nr   rD   rV   )ri   r   r  r  r<  concatenater   r   r   Zargmaxr	   rX  )rW   r<  r=  r  Zin1offsetZin2r   ZcorrelationZlagsZ	lag_indexrP   rP   rQ   test_correlation_lags#  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 )TestCorrelateComplexc                 C   s(   |t jkrt j}tdt |j d S )NrC   r=   )ri   r?  r>  r<  r  	precision)rL   r  rP   rP   rQ   rC  H  s   
zTestCorrelateComplex.decimalc                 C   s   t jd t jd|}|dt jd| 7 }t jd|}|dt jd| 7 }t|j|j|dt|j|j|d |}|dt|j|j|d t|j|j|d  7 }|||fS )Nr   rD   r   r   rV   )ri   r   r   r   r   r   rb  imag)rL   r  rW   rM   rN   r  rP   rP   rQ   r  M  s   
z!TestCorrelateComplex._setup_rank1c                 C   s|   |  |d\}}}t||d}t||| |d t|j| t||d}t||d d d  | |d t|j| d S )Nr   rB  r   )r  r   r   rC  r	   r   conjr'  rP   rP   rQ   r(  Z  s   "z%TestCorrelateComplex.test_rank1_validc                 C   B   |  |d\}}}t||d}t||| |d t|j| d S )NrU   rB  r  r   r   rC  r	   r   r'  rP   rP   rQ   r)  e     z$TestCorrelateComplex.test_rank1_samec                 C   rE  )Nr   rB  rF  r'  rP   rP   rQ   r*  k  rG  z$TestCorrelateComplex.test_rank1_fullc                 C   s@   t jg d|d}t jg d|d}t||}t|g d d S )Nr   r\   rq  r   y      ?      @y       @      @y      @      @y      @      @)r         $@             <@            6@      y      0@      y       @      )ri   r   r   r	   rL   r  r   kra   rP   rP   rQ   test_swap_fullq  s   
z#TestCorrelateComplex.test_swap_fullc                 C   s0   g d}g d}t ||dd}t|g d d S )NrH  rI  rU   rV   )rJ  rK  rL  )r   r	   rM  rP   rP   rQ   test_swap_samew  s   z#TestCorrelateComplex.test_swap_samec                 C   s   t jddd|}|dt jddd| 7 }t jddd|}|dt jddd| 7 }t|j|jt|j|j |}|dt|j|j t|j|j  7 }t||d}t||| |d d t	|j
| d S )	NrD   r   r@   r   r>   r   rB   rB  )ri   r   r   r   r   rb  rC  r   rC  r	   r   r'  rP   rP   rQ   
test_rank3}  s   &zTestCorrelateComplex.test_rank3c                 C   s8  t t j |}|dt t j | 7 }t t j |}|dt t j | 7 }t|j|jt|j|j |}|dt t|j|j t|j|j  7 }t||d}t||| 	|d d t
|j| t
tdgdgtdd t
tdgdgtdd t
tdgdgtdd d S )Nr   r   rB   rB  r_                 @r>   )ri   r   r   r   r   r   rb  rC  r   rC  r	   r   r'  rP   rP   rQ   
test_rank0  s$   
zTestCorrelateComplex.test_rank0N)r   r   r   rC  r  r(  r)  r*  rO  rP  rQ  rS  rP   rP   rP   rQ   rA  ?  s    	rA  c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestCorrelate2dc              	   C   s   t d}t g d}dD ]T}tt j|||dtj|||d tt tj|g|g|dtj|||d |dkrbtt j|||dtj|||d tt tj|g|g|dtj|||d qd S )Nr?   rP  rQ  rV   r   )ri   r   r   r
   r   r   rR  r   rS  rP   rP   rQ    test_consistency_correlate_funcs  s,   
z0TestCorrelate2d.test_consistency_correlate_funcsc                 C   sl   t ddd}t ddd}tttjg||fR i ddi tttjg||fR i ddi d S r   )ri   r   rj   r   r   r   r   r   rP   rP   rQ   r     s   "&z#TestCorrelate2d.test_invalid_shapesc                 C   sR   t tdggdggd t tdggdggd t tdggdggd d S )NrB   r_                 rR  r@   r>   y              (@)r	   r   r   r   rP   rP   rQ   test_complex_input  s   z"TestCorrelate2d.test_complex_inputN)r   r   r   rV  r   rX  rP   rP   rP   rQ   rU    s    rU  c                   @   s:   e Zd Zdd Zdd Zejdej	ej
gdd ZdS )	TestLFilterZIc                 C   sB   t g d}t g d}t ddg}t||}t|| d S )N)r  r5  rw  )r  rx  r4  r  r5  )ri   r   r#   r   )rL   rM   rN   Zzi_expectedr  rP   rP   rQ   rR     s
   
zTestLFilterZI.test_basicc                 C   sJ   t g d}t g d}t||}td| d| }t||dd d S )N)rC   r   r?   )rB   rB   r   rC   r{  r  )ri   r   r#   r   )rL   rN   rM   r  Zzi2rP   rP   rQ   test_scale_invariance  s
   
z#TestLFilterZI.test_scale_invariancer   c                 C   s<   t jd|d}t jdg|d}tt t||j| d S )Nr   r   rB   )ri   r[  r   r	   rb  r   r#   r   )rL   r   rN   rM   rP   rP   rQ   r    s   zTestLFilterZI.test_typesN)r   r   r   rR   rZ  rJ  rK  rL  ri   r   r  r  rP   rP   rP   rQ   rY    s
    	rY  c                   @   sN   e Zd 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S )TestFiltFilttfr   oddNrH  c              	   C   sR   | j dkrt| \}}	t||	||||||S | j dkr't| }
t|
||||S d S )Nr\  sos)filtfilt_kindr&   r$   r'   r.   )rL   zpkr`   rX  rU  padlenrh   irlenrN   rM   r^  rP   rP   rQ   r$     s   

zTestFiltFilt.filtfiltc                 C   s:   t g dg d}| |td}t|tddd d S )NrA   rI   g6{=r  )r0   r$   ri   r   r   )rL   r`  r   rP   rP   rQ   rR     s   zTestFiltFilt.test_basicc                 C   s*  d}t dd|d }t dt j | }t dt j | }|| }tddd	d
}t |d  }d}tt t 	|t 	| }	| j
|||	d}
t |
|  }t|dk  t ||| g}| j
|||	dd}t|j|j t ||  }t|dk  | j
||j|	dd}t||j d S )Ni  r   r  rB   rD   i  r         ?r`  r  r   )ra  r   ra  rX  )ri   r`  rc  r}  r%   r  r~  r<  ceillogr$   r   vstackr	   rX  r  )rL   r  r   ZxlowZxhighr`   r`  repsr   ra   errZx2dZy2dZy2dtrP   rP   rQ   	test_sine  s&   zTestFiltFilt.test_sinec                 C   s   t dddd}tdddd}| j||d	d	d
}| j|t |d	dd	dd
}t|t |d	d | j|t |d	dd	dd
}t|t |d	d d S )Ng     @rD   r  rI   r=   rc  r`  r  r   rd  rB   rC   )ri   r   rj   r%   r$   r  r   )rL   r`   r`  Zy0y1r  rP   rP   rQ   	test_axis	  s   zTestFiltFilt.test_axisc                 C   s@   | j dkrd S tddgdtd}t|tdddd d S )Nr\  rw  rB   rD   +=r   )r_  r   r$   ri   r   r   )rL   r   rP   rP   rQ   test_acoeff	  s   
zTestFiltFilt.test_acoeffc                 C   s   | j dkr
td tddg}tdg}tddg}t|||\}}}t|d |d gd|d  d	|d
   d	|d  d|d
   g t||d d|d   d|d   d|d
   d|d  |d  d|d   d|d
   g d S )Nr\  $gust only implemented for TF systemsr  r4  rw  r  r   ry  r  rB         ?rc  )r_  rJ  r  ri   r   r7   r   )rL   r`   rN   rM   ra   z1z2rP   rP   rQ   test_gust_simple#	  s   

..*
zTestFiltFilt.test_gust_simplec                 C   sT   | j dkr
td td}d}d}t|||dd}|| d | }t|| d S )	Nr\  rp  rI   r6  r4  gustrg   rC   )r_  rJ  r  ri   r   r$   r   )rL   r`   rN   rM   ra   r   rP   rP   rQ   test_gust_scalars1	  s   


zTestFiltFilt.test_gust_scalars)r   r]  NrH  N)r   r   r   r_  r$   rR   rk  rm  ro  rt  rv  rP   rP   rP   rQ   r[    s    
	"
r[  c                   @   s   e Zd ZdZdd ZdS )TestSOSFiltFiltr^  c           	      C   st   t jdd}tddD ])}tj|ddd}t| \}}t| }t	|||}t
||}t||dd	| d
 qdS )z1Test equivalence between sosfiltfilt and filtfiltr   rV  rB   r@   ffffff?r`  r  r{  zorder=%s)r   err_msgN)ri   r   r  r   rk   r   r%   r&   r'   r$   r.   r   )	rL   r`   r+  r`  rN   rM   r^  ra   y_sosrP   rP   rQ   test_equivalenceB	  s   
z TestSOSFiltFilt.test_equivalenceN)r   r   r   r_  r{  rP   rP   rP   rQ   rw  ?	  s    rw  c                 C   s   dd }t t|t| d }t| |}t|d|  | || d  | f}t||| ||fdddddd	d
	}|\}}	}
}}|dkrMtd| |d| }||d }t| ||ddd |dd ddd }t| |||dd }|||fS )aP  
    An alternative implementation of filtfilt with Gustafsson edges.

    This function computes the same result as
    `scipy.signal._signaltools._filtfilt_gust`, but only 1-d arrays
    are accepted.  The problem is solved using `fmin` from `scipy.optimize`.
    `_filtfilt_gust` is significanly faster than this implementation.
    c                 S   s   t t|t|d }| d| }| |d }t||||dd }t|||ddd |dd ddd }t|||ddd |dd ddd }	t|||	|dd }
t||
 d }|S )z-Objective function used in filtfilt_gust_opt.rB   Nr  r   r   rC   )r~  r  r"   ri   r   )icsrN   rM   r`   mz0fz0br   Zy_fby_bZy_bfvaluerP   rP   rQ   filtfilt_gust_opt_funcW	  s   ((z1filtfilt_gust_opt.<locals>.filtfilt_gust_opt_funcrB   Nr  r{  r  TF)r   ZxtolZftolZmaxfunmaxiterZfull_outputZdispr   z5minimization failed in filtfilt_gust_opt: warnflag=%dr   r  )	r~  r  r#   ri   r>  rF  r   r  r"   )rN   rM   r`   r  r}  r  r|  r=  optZfoptZniterZfuncallsZwarnflagr~  r  r  ra   rP   rP   rQ   filtfilt_gust_optN	  s&   	
0(
r  c                 C   sH  t jd t jj| }t| |||d|d}t| ||||d\}}}	t ||d}
|
jd d }t |
}t	t
|t
| d }t ||f }t ||f }tdd |D  D ]}t| ||
| \||< ||< ||< qYt |d|}t |d|}t |d|}t||d	d
d t||d	d
d t||d	d
d t|	|d	d
d d S )Nr  ru  )rX  rh   rb  )rX  rb  r   rB   c                 S   s   g | ]}t |qS rP   )rk   )r   r   rP   rP   rQ   r   	  r   z'check_filtfilt_gust.<locals>.<listcomp>r   r_  r   )ri   r   r   r   r$   r7   r  rX  Z
empty_liker~  r  r  r   r  r   )rN   rM   rX  rX  rb  r`   ra   ZygZzg1Zzg2xxZ	out_shaperS  r}  Zzo1Zzo2ZindxrP   rP   rQ   check_filtfilt_gustz	  s&   
$r  c                  C   sN  dD ]} dD ]K}d\}}}t jj|f|  }t jj|f|  }t||| d}t|| t||| dd\}}	t|dv  tt|	tu  td|	 v oOd	|	 v  qd
}dD ]}
t	t |
rrt j
||
d}| }tt||| dd	 qVt jdgt jd}| }tt||| dd	 tdtdg}tdtdg}tt||| dd	 qd S )Nr;  )rB   rC   )r   r@   rf   rV   T)rW   measure>   rf   r   r   rf   rD   )r   r   r   l         @ r=   rC   rB   r>   )ri   r   r   r   r	   r   r  dictkeysr  r;  rm  r   r   r   )rW   r  r   rN  Ztrue_methodr`   r  rh   Z
method_trytimesZnot_fft_conv_supprP   rP   rQ   test_choose_conv_method	  s2   


r  c                  C   s   t jdddddd\} }}d}tt|}ttt|t| }tj	d t
| ||\}}d |fD ]&}d	| }	t|||	fd
| tdD ]}
g d}|	||
< t||||
| qKq8d| d }t|||fd
| d S )Nr=   {Gz?x   gffffff?r`  r  r  r  r?   r   )rC   rC   rC   rC   r   )r   Zellipri   r~  r  r<  re  rf  r   r   r&   r  rk   )rb   prN  ri  rh  Zapprox_impulse_lenrN   rM   rb  Z
signal_lenrX  rX  lengthrP   rP   rQ   test_filtfilt_gust	  s    r  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S )TestDecimatec                 C   s6   t d}tttj|ddd tttj|ddd d S )NrI   rw  rB   )qr   rC   )ri   r   r   r  r   decimater  rP   rP   rQ   test_bad_args	  s   
zTestDecimate.test_bad_argsc                 C   :   t d}tj|ddddd }t||d d d  d S )NrI   rC   rB   iirFr   ftype
zero_phaseri   r   r   r  roundr   rL   r`   ra   rP   rP   rQ   test_basic_IIR	     
zTestDecimate.test_basic_IIRc                 C   r  )NrI   rC   rB   firFr  r  r  rP   rP   rQ   test_basic_FIR	  r  zTestDecimate.test_basic_FIRc                 C   sJ   t d}tj|dddd}t|jd tj|dddd}t|jd d S )	N)ry   ry   rC   r   F)rX  r  )r  ry   rB   )ry   r  )ri   r[  r   r  r	   rX  )rL   rb   Zd0Zd1rP   rP   rQ   
test_shape	  s
   
zTestDecimate.test_shapec                 C   F   t  }|td | jddd W d    d S 1 sw   Y  d S )NBadly conditioned filterr  Frh   r  r   r  r1   _test_phaseshiftrL   r  rP   rP   rQ   test_phaseshift_FIR	     "z TestDecimate.test_phaseshift_FIRc                 C   r  )Nr  r  Tr  r  r  rP   rP   rQ   test_zero_phase_FIR	  r  z TestDecimate.test_zero_phase_FIRc                 C      | j ddd d S )Nr  Fr  r  r   rP   rP   rQ   test_phaseshift_IIR	     z TestDecimate.test_phaseshift_IIRc                 C   r  )Nr  Tr  r  r   rP   rP   rQ   test_zero_phase_IIR	  r  z TestDecimate.test_zero_phase_IIRc                 C   s  d}g d}t d}t|| d t| }t|d d }tdtj |d d tjf  | tj	
|jd }|D ]}	||	 }
t|	| d t|	 }tdtj |d d tjf  | tj	
|jd }|d	krd
}ttj|d d|
 ddd}n|dkrd}dtj |
 }tjt|d|tj  }|du rt|j|j|| d tj \}}|t| }nt|}tj|j|
|||d}tj| | dd}|t| }|d|	 k }tt| | | dddd q=d S )Nr  )r  r   ry   r  r   rB   皙?rC   r_   皙?r  ry   r  r^  rQ  r  r   g?Fr  r  r   rv  rw  r   r   r  )r<  ri   r   rC  r   r  r}  r|  r   windowsZtukeyr   dltir  Zcheby1Zfreqzr\  Zdenr  Z	ones_liker  rb  r   rD  r   angle)rL   rh   r  r  r  Zt_totr   r  r   r  r  r  Zd_tosr   systemwcr   Zh_respsr  Z	h_resampsZsubnyqrP   rP   rQ   r   
  sR   $$
zTestDecimate._test_phaseshiftc                 C   s|   d}d}t || }t d| t dt j |d  |  }tt j|ddd tj	|d	d
d}t
t j|d d S )Ng      Y@rV  r4  rC   g      >@r  r   r  ry   r  )r  r  )ri   r   sqrtrc  r}  r   ZlinalgZnormr   r  r   )rL   Zsfreqr   r   r`   Zx_outrP   rP   rQ   test_auto_n0
  s   *zTestDecimate.test_auto_nc                 C   s.   t tjdtjdd}tt|rJ d S )Nr  r   rD   )r   r  ri   r;  r   r   isnanr  rP   rP   rQ   test_long_float32<
  s   zTestDecimate.test_long_float32c                 C   s.   t tjdtjdd}|jjtjksJ d S )Nr   r   rD   )r   r  ri   r;  r   r   r  r  r  rP   rP   rQ   test_float16_upcastB
  s   z TestDecimate.test_float16_upcastc                 C   sX  d}d}d}t jddtj | d d|d\}}}|ttdtj | |  }|ttdtj | |  }t |||}td| }tdtj | | d	td
tj | |   }	t j	|	d|dd}
t j
g t ||||	R  d d d }t|
| t j	|	d|dd}t jg t ||||	R  d d d }t||ddd d S )Nr   r?        @@rC   r`  )r1  fsr_   r  rw  rW  Fr  Tr  vIh%<=r   )r   r%   ri   r}  r   r
  r  r  r   r  r"   r&   r	   r$   r   )rL   fcentrefwidthr  rb   r  rN  r  r   r   ynzpynzprefyzpyzprefrP   rP   rQ   test_complex_iir_dltiG
  s2   &""
z"TestDecimate.test_complex_iir_dltic                 C   s  d}d}d}d}t j||d |d}t|}|tdtj | |  }|d t| }t |d	}	td
| }
tdtj | |
 dtdtj | |
   }t j	|d|	dd}t j
||d	ddd d }t|| t j	|d|	dd}t j|d	d|d}t|| d S )Nr   r?   r  r   rC   )r  r_   r   rB   r  rw  rW  Fr  )r  r  r   TrQ  )r   r  ri   rootsr  r}  polyr  r   r  Zupfirdnr	   rZ  )rL   r  r  r  ZnumtapsZbbaseZzbaseZzrotZbzr  r   r   r  r  r  r  rP   rP   rQ   test_complex_fir_dltig
  s&   

z"TestDecimate.test_complex_fir_dltiN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  rP   rP   rP   rQ   r  	  s    0 r  c                   @   sB   e Zd Zdd Zdd Zdd Zejde	j
e	jgdd	 Zd
S )TestHilbertc                 C   s6   t dg}ttt| t d}ttt|dd d S )Nr   rO  r   r%  )ri   r   r   r   r    r   r  rP   rP   rQ   r  
  s   
zTestHilbert.test_bad_argsc                 C   sj  d}t j}t dd| |d }t |}t |}t d| }t d| }t ||||g}t|}	t |	}
t |	}t 	|	}t
||| t
|
t |j| t
|dd df t | d |d |d | t
|dd df t d||d | t
|dd df t | d |d |d | t
|dd df t d||d | t
|	d j|| d S )Nr9  r   rC   rM  rB   rL  r=   )ri   r}  r   rc  ra  rg  r    r  r  rb  r
   r;  rX  rC  )rL   rC  r}  r   r  a1a2a3rM   r  Zh_absZh_angleZh_realrP   rP   rQ   test_hilbert_theoretical
  s:   




  z$TestHilbert.test_hilbert_theoreticalc                 C   s   t ddd}t|dd}tt|jdd|j tt|d |d d t|ddd	}t|jddg tt|jddd	jddg t g d
}t|d |dd d S )Nr  r=   r@   r   rv  r   r9  r   )r%  rX  )y        Bm}ąy      ?a y?0fy      @Wa94y      @"nWy      @hIX@y<nm@yF8O2k{?yډoP?y̼YC?y433333<c4Qe?yȒ40p$?yESU?yffffff<?7?y433333<wEoy!5P{3'ſy        _N@տy<}ٿy<-cyF8<2OW\zN regression)	ri   r   rj   r    r	   r  r
   rX  r   )rL   rM   ZaaZaanZa0hilbrP   rP   rQ   test_hilbert_axisN
  s   zTestHilbert.test_hilbert_axisNr   c                 C   *   t jd|d}tt t|j| d S )Nr   r   )ri   r[  r	   rb  r   r    r   r  rP   rP   rQ   test_hilbert_types
     zTestHilbert.test_hilbert_typesN)r   r   r   r  r  r  rJ  rK  rL  ri   r   r  r  rP   rP   rP   rQ   r  
  s    )%r  c                   @   s2   e Zd Zdd Zejdejej	gdd Z
dS )TestHilbert2c                 C   s   t dgg}ttt| t dddd}ttt| t ddd}ttt|dd ttt|d	d ttt|d
d d S )Nr   r  rC   r=   r>   rw   r   r  )rC   r   )rC   )ri   r   r   r   r!   r   rj   r  rP   rP   rQ   r  
  s   zTestHilbert2.test_bad_argsr   c                 C   r  )N)rC   rG   r   )ri   r[  r	   rb  r   r!   r   r  rP   rP   rQ   test_hilbert2_types
  r  z TestHilbert2.test_hilbert2_typesN)r   r   r   r  rJ  rK  rL  ri   r   r  r  rP   rP   rP   rQ   r  
  s    r  c                   @   s   e Zd Zed#ddZdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"S )$TestPartialFractionExpansionrv   c                 C   s   t |}t |}t t|d d d f | t| d d d f | }t|\}}t|| || |d t| | || |d d S )NrB  )ri   r  hypotr  r   r
   )rh  r  Zr_trueZp_truerC  ZdistancerowscolsrP   rP   rQ   assert_rp_almost_equal   s   

z3TestPartialFractionExpansion.assert_rp_almost_equalc                 C   sP  t g dg d\}}tt|d t|d tg d t|d tg d t|d tg d	 t|tg d
 t g dg ddd\}}tt|d t|d tg d t|d tg d t|d tg d t|d tg d t|d tg d t|d tg d	 t|tg d
 d S )NrA   r  r=   r   )rC   rC   r=   rB   )rB   rB   rB   r=   rC   )rB   rB   rB   rC   rC   )rB   rB   rB   rC   rC   r=   T)Zinclude_powersr@   )rB   rB   rC   rC   r=   )rB   rC   rC   r=   )rB   rB   rB   rC   r=   r>   r?   )r8   r	   r  r
   ri   r  )rL   Zfactorsr  rP   rP   rQ   test_compute_factors  s"   
z1TestPartialFractionExpansion.test_compute_factorsc                 C   s4   t g ddd\}}t|g d t|g d d S )N)r  gjt?g?5^I?r4  g/$ @r6  r  minr  r  )r9   r	   rL   uniquemultiplicityrP   rP   rQ   test_group_poles  s
   
z-TestPartialFractionExpansion.test_group_polesc                 C   s>  t g dg d\}}}t|g ddd t|g ddd t|dgdd t dd	gg d
\}}}t|d	dg t|ddg t|jd t ddgg d\}}}t|ddg t|ddg t|jd t ddgg d\}}}| ||g dg d t|jd t ddgg d\}}}| ||g dg d t|jd t g dg d\}}}t|g d t|g d t|ddg t dgg d\}}}t|ddg t|dd g t|jd t g d!g d"\}}}| ||g d#g d$ t|jd t g d%g d&\}}}| ||g d'g d( t|jd t ddgg d)\}}}t|dd*g t|ddg t|jd t g d+g d)\}}}t|dd,g t|ddg t|dg t g d-g d)\}}}t|d.d/g t|ddg t|d0d1g t g d+g d2\}}}| ||g d3g d4 t|jd d S )5Nr?   r=   rt  rv   r  r   r   r=   )gZd;O?g9#Jg&䃞ͪr>   rB  )g-1ڿgeagvq-?g      r  r   rB   r@   r   irt  r   rB   )rB   r   rt  r=   r   rC   )rC   g333333gGz?gClٿ)y      2     @*y      2     @*@g      B@)y      ?ɿy      ??gffffff?)rB   r?   r   r>   )r   rB   r=   )r   rt  rt  )r=   gg)\(?g^I+g rh?)rB   gffffffgQg~jt?)r>   rB   )r  g333333ӿr  )rB   rC   r  rq        пr  )rB   r   r  )rB   r   r   r   r   )rB   y              ?y             r   )r                r   rB   )r=   r   r@   rB   r=   r=   rB   rA   r   r   r   )rB   r  rC   r?   )rC   r=   r   r  )rv   rC   r=   r   r  E   rv   rH   )rB   r  r>   rt  )r>   y            @y            )rB         ?      r\   )r4   r
   r	   r   r  rL   rh  r  rN  rP   rP   rQ   test_residue_general%  sp   

z1TestPartialFractionExpansion.test_residue_generalc                 C      t g dg d\}}}t g dg d\}}}t g dg d\}}}	t g dg d\}
}}t|| t|| t||
 t|| t|| t|| t|| t||	 t|| d S )Nr  r  )r   r?   r=   rt  rv   )r   r  r   r   r=   )r   r   r?   r=   rt  rv   )r   r   r   r  r   r   r=   )r4   r
   rL   Zr0p0Zk0r1p1Zk1r2p2Zk2Zr3Zp3Zk3rP   rP   rQ   test_residue_leading_zerosi  s   







z7TestPartialFractionExpansion.test_residue_leading_zerosc                 C   s   t ddgg d\}}}t|ddg t|ddg t|jd t dd\}}}t|jd t|jd t|jd tjtdd t dd W d    d S 1 sRw   Y  d S )Nr   r  rt  r  rB   Denominator `a` is zero.r  )r4   r
   r	   r   rJ  r   r   r  rP   rP   rQ   test_resiude_degeneratey  s   "z4TestPartialFractionExpansion.test_resiude_degeneratec                 C   s  t g dg d\}}}| ||g dg d t|dg t g dg d\}}}| j||dd	gd
dgdd t|dgdd t ddgg d\}}}t|ddg t|ddg t|jd t g dg d\}}}| ||g dg d t|jd t g dg d\}}}t|ddg t|ddg t|ddg t dgg d\}}}| ||g d g d! t|jd t ddgtdd"gdd#g\}}}t|d$d%g t|d&dg t|jd t g d'ddg\}}}t|dg t|dg t|ddg t ddd(g\}}}t|dg t|d)g t|jd t dg d*\}}}t|ddg t|ddg t|jd t dg d+\}}}t|ddg t|d#dg t|jd t g d,g d'\}}}t|d-d.g t|ddg t|dg t d/dgg d'\}}}t|d0d1g t|ddg t|jd t g dg d'\}}}t|d2d3g t|ddg t|d4dg t g d5g d6\}}}| j||g d7g d8dd t|jd d S )9N)rB   r@   r@   rC   )rB   y             r  r  )y             @y      @      @y            ()r   rB   rB   r_   )rB   rC   rB   )rB   r   g'W?y	c-y	c-@y      ?*D?y      ?*DԿr>   rB  gŏ1w@rB   r   )rB   r  r@   rC   r=   r   rt   r  )r>   r  r=   r  )rB   r  r  r>   )rC   rt  r  rw  g            ?r  )r  r=   r  r   )g
ףp=
?gQ?皙?)rw  UUUUUUտr  r  rq  g
gUUUUUU@r  rB   rt  rB   r  r   )rB   r   rq  )rB   g      rc  )rB   r@   rC   r  r   r@   rt  r   ir  rD   r  )rB   r   r   r   r   r   )yoT?c=yX?yoT?c=yXȿr  yjM?%uyjM?%u?)ySsA?ySsAr  y-?8gDio?y-?8gDio)r5   r  r
   r	   r   ri   Zpolymulr  rP   rP   rQ   test_residuez_general  s   $z2TestPartialFractionExpansion.test_residuez_generalc                 C   r  )Nr  r  )r?   r=   rt  rv   r   )r  r   r   r=   r   )r?   r=   rt  rv   r   r   )r  r   r   r=   r   r   r   )r5   r
   r  rP   rP   rQ   test_residuez_trailing_zeros  s   







z9TestPartialFractionExpansion.test_residuez_trailing_zerosc                 C   s   t ddgg d\}}}t|ddg t|ddg t|jd t dd\}}}t|jd t|jd t|jd tjtdd t dd W d    n1 sQw   Y  tjtdd t dg d	 W d    d S 1 spw   Y  d S )
Nr   r  rt  r  rB   r  r  z6First coefficient of determinant `a` must be non-zero.r  )r5   r
   r	   r   rJ  r   r   r  rP   rP   rQ   test_residuez_degenerate  s    "z5TestPartialFractionExpansion.test_residuez_degeneratec           	      C   s   g d}g d}g }g d}g d}dD ]*}t ||||d\}}t|| t|| t||||d\}}t|| t|| qd S )N)ry  UUUUUUſg)r   rt  r  )r   rB   r=   )rB   rv   rD   r   avgrF  r  rH  r~  rI  rtyper(   r   r)   )	rL   rh  r  rN  
b_expected
a_expectedr  rN   rM   rP   rP   rQ   *test_inverse_unique_roots_different_rtypes  s   


zGTestPartialFractionExpansion.test_inverse_unique_roots_different_rtypesc           
      C   s   g d}g d}g }g d}g d}g d}dD ].}t ||||d\}}	t||dd	 t|	| t||||d\}}	t||dd	 t|	| qd S )
Ng333333?g98ȿr   gll?r   rt  rt  r  )r   r   rB   r=   )r   gUUUUUUgUUUUUU?r=   )rB   r   r  r   r   r  r  rn  r  r  )
rL   rh  r  rN  r  Zb_expected_zr  r  rN   rM   rP   rP   rQ   ,test_inverse_repeated_roots_different_rtypes  s   
zITestPartialFractionExpansion.test_inverse_repeated_roots_different_rtypesc                 C   s   g d}g d}g }t jtdd t|||dd W d    n1 s$w   Y  t jtdd t|||dd W d    d S 1 sDw   Y  d S )Nr	  r
  z`rtype` must be one ofr  rG  r  )rJ  r   r   r(   r)   r  rP   rP   rQ   test_inverse_bad_rtype!  s   "z3TestPartialFractionExpansion.test_inverse_bad_rtypec                 C   s@   dg}dg}dg}t |||\}}t|dg t|ddg d S )NrB   rC   r   r  g       )r)   r   )rL   rh  r  rN  rN   rM   rP   rP   rQ    test_invresz_one_coefficient_bug*  s   z=TestPartialFractionExpansion.test_invresz_one_coefficient_bugc                 C   
  t dgdgg \}}t|dg t|ddg t g dg dg \}}t|g d t|g d t ddgdd	gg d
\}}t|g d t|g d t g dg dg \}}t|g d t|g d t ddgddgddg\}}t|g d t|g d d S )NrB   r   r  rC         ?      rB   r   r\   y      @      y      !      ?y      @      
@rB   y             y      ?       @y      ?      rw  r  rq  rA   )rB                     ?       r  rD   rB               r>   r   rC   r   r  r>   rt  r   r   r   r=   r=   r=   )y      @      y      <      0@y      D@      Oy      Y@      8@y     @r     `k@y      h@     prB   y      (       @y     J@      4y      X      Q@y      ;@      Ry      [@      Ky     @T      [@r   rC   )rB   r   r  r^   r  )r(   r
   rL   rN   rM   rP   rP   rQ   test_invres3  "   z(TestPartialFractionExpansion.test_invresc                 C   r  )NrB   r   r  r  r  r  rw  r  rq  rA   )g      @r  r  y            rI   r  r  r  )r@   y      I      &@y      Y@      Ry      T@      M@y      v     l@y     @m@     rr  r   rC   )r   rB   r  rC   r  )r)   r
   r  rP   rP   rQ   test_invreszK  r  z)TestPartialFractionExpansion.test_invreszc                 C   s\   t ddd\}}t|ddg t|ddg tddd\}}t|ddg t|ddg d S )NrB   r   r   rC   )r(   r
   r)   r  rP   rP   rQ   test_inverse_scalar_argumentsc  s   z:TestPartialFractionExpansion.test_inverse_scalar_argumentsN)rv   )r   r   r   staticmethodr  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  rP   rP   rP   rQ   r  
  s$    DQ		r  c                   @   r  )TestVectorstrengthc                 C   s`   t dg}d}d}d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nrw  r  r  r  r   rC   ri   r   r*   r	   r  r
   r}  rL   eventsperiodtarg_strengthZ
targ_phasestrengthphaserP   rP   rQ   test_single_1dperiodo  s   
z'TestVectorstrength.test_single_1dperiodc                 C   st   t dg}g d}dgd }t g d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nrw  )rB   rC   r  r  r=   )rw  rq  r  rB   rC   )ri   r   r*   r	   r  r   r
   r}  r#  rP   rP   rQ   test_single_2dperiod|  s   

z'TestVectorstrength.test_single_2dperiodc                 C   sb   t g d}d}d}d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nrq  rq  rq  rq  rq  rq  rC   r  rc  r   r"  r#  rP   rP   rQ   test_equal_1dperiod     
z&TestVectorstrength.test_equal_1dperiodc                 C   sv   t g d}ddg}dgd }t ddg}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr+  rB   rC   r  rq  rc  r"  r#  rP   rP   rQ   test_equal_2dperiod     

z&TestVectorstrength.test_equal_2dperiodc                 C   b   t g d}d}d}d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr  g?g @gffffff@g333333$@rB   r  r  r   rC   r"  r#  rP   rP   rQ   test_spaced_1dperiod  r-  z'TestVectorstrength.test_spaced_1dperiodc                 C   sv   t g d}ddg}dgd }t ddg}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr1  rB   rw  r  rC   r  r  r"  r#  rP   rP   rQ   test_spaced_2dperiod  r/  z'TestVectorstrength.test_spaced_2dperiodc                 C   r0  )Nrq  rw        ?rB   UUUUUU?rw  r   rC   r"  r#  rP   rP   rQ   test_partial_1dperiod  r-  z(TestVectorstrength.test_partial_1dperiodc                 C   sv   t g d}g d}dgd }t g d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr4  )r  r  r  r  r6  r>   )rw  rw  rw  rw  rB   rC   r"  r#  rP   rP   rQ   test_partial_2dperiod  r/  z(TestVectorstrength.test_partial_2dperiodc                 C   sJ   t g d}d}d}t||\}}t|jd t|jd t|| d S )Nr   rq  rw  r5  r  r   ri   r   r*   r	   r  r
   rL   r$  r%  r&  r'  r(  rP   rP   rQ   test_opposite_1dperiod  s   z)TestVectorstrength.test_opposite_1dperiodc                 C   sV   t g d}dgd }dgd }t||\}}t|jd t|jd t|| d S )Nr9  r  rD   rx  rB   r:  r;  rP   rP   rQ   test_opposite_2dperiod  s   

z)TestVectorstrength.test_opposite_2dperiodc                 C   s&   t ddgg}d}ttt|| d S )NrB   rC   r  ri   r   r   r   r*   rL   r$  r%  rP   rP   rQ   test_2d_events_ValueError  s   z,TestVectorstrength.test_2d_events_ValueErrorc                 C   s$   d}t dgg}ttt|| d S )Nr  rB   r>  r?  rP   rP   rQ   test_2d_period_ValueError  s   z,TestVectorstrength.test_2d_period_ValueErrorc                 C      d}d}t tt|| d S )Nr  r   r   r   r*   r?  rP   rP   rQ   test_zero_period_ValueError     z.TestVectorstrength.test_zero_period_ValueErrorc                 C   rB  )Nr  r   rC  r?  rP   rP   rQ   test_negative_period_ValueError  rE  z2TestVectorstrength.test_negative_period_ValueErrorN)r   r   r   r)  r*  r,  r.  r2  r3  r7  r8  r<  r=  r@  rA  rD  rF  rP   rP   rP   rQ   r!  m  s    r!  c                 C   s8   t | j}t | t j} t |t j}t| ||S )zEConvert TF2SOS, casting to complex128 and back to the original dtype.)ri   r  r   r   r  r,   r   )rN   rM   r   rP   rP   rQ   cast_tf2sos  s   rG  r  c                 C   sF   | j jdkrt| jd j }| |||} }t| ||| dS )z1Wrap assert_allclose while casting object arrays.r  r   N)r   r   ri   r   Zflatr   r   )actualdesiredr   r   r   rP   rP   rQ   assert_allclose_cast  s   rJ  r/  c                 C   s0  t dt dt dg}t dt dt dg}t dt dt dg}t|}|jjdks.J tt|tt|t|t}| tu rLt|| g|}nt|||}t	dd |D s]J t
|t|t | tu rqddg}ntddg}tjtdd	 | |d
di W d    d S 1 sw   Y  d S )NrB   rC   r=   r  c                 s   s    | ]}t |tV  qd S r  )
isinstancer   )r   r`   rP   rP   rQ   	<genexpr>$  s    z)test_nonnumeric_dtypes.<locals>.<genexpr>r  zmust be at least 1-Dr  r`   )r   ri   r   r   r   r"   rC  r   r-   allr   r,   rJ  r   r   )r/  r`   rN   rM   rI  rH  r   rP   rP   rQ   test_nonnumeric_dtypes  s"   
"
"rN  ZfdgFDGOc                   @   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S )TestSOSFiltc                 C   s  t ddd|}t ddg|}t ddg|}t g d|}t||}|jj|ks5J ttt|||| t ddg|}t ddg|}t g d	|}ttt|||| g d
}g d}t 	d}t 
||f}d|_t||}t|g d d S )Nr   r?   r@   rB   r   rw  r  r  r  )rB   rB   r   r  r   )rB   r@   )rB   rC   rC   rC   rC   rC   rC   rC   )ri   r`  r   r   rG  r   charr   r-   r;  r>  rX  r   )rL   r  r`   rN   rM   r  r^  ra   rP   rP   rQ   
test_rank14  s$   


zTestSOSFilt.test_rank1c           	      C   s   d}t dt |d t ||}||}t ddg|}t ddg|}t jg dg dg dg dg|d}t jg d	g d
g dg dg|d}tt|||dd}t|| tt|||dd}t|| d S )Nr  r   rB   r   rw  r  r  r   r  r  r  r  rv  )	ri   r`  r  rj   r   r   r-   rG  r   )	rL   r  rX  r`   rN   rM   r  r  ra   rP   rP   rQ   
test_rank2N  s"   $

zTestSOSFilt.test_rank2c           	   
   C   s   d}t dt |d t ||}t ddg|}t ddg|}tt|||}t|j	d D ]}t|j	d D ]}t
|||f t|||||f  q@q7d S )Nr  r   rB   r   rw  )ri   r`  r  rj   r   r   r-   rG  rk   rX  r   r"   )	rL   r  rX  r`   rN   rM   ra   rl   r  rP   rP   rQ   rQ  b  s   $$zTestSOSFilt.test_rank3c                 C   s<  t ddd\}}t ddd\}}t ddd\}}tt|||}tt|||}	ttj||f tj||f tj||f f}
tjd|}t	||	|d d t
dd\}}tj|t	||	|dd  |dd	 f }t|t	||	| t|
|d d t
d
d\}}tj|t|
|dd  |dd	 f }t|| t|
}td|}t|
||d\}}t|td t|| d|j |_ttt|
||d | }|jd	 dd|jd f|_ttt|
||d d d d d d g df d t|
||d\}}t|d td t|d d d	d	d d f | d S )NrC   rq  lowr5  r   r   r@   r  r   r   r   r-  rB   r   )r   rB   rB   r.  )r   r%   ri   r   r   Zr_r   r  r   r"   r[  rJ  r-   r/   r;  rX  r   r   rm  )rL   r  b1r  b2r  Zb3r  rN   rM   r^  r`   Zy_truer  rz  ra   r  Zzi_ndrP   rP   rQ   test_initial_conditionso  s8   ."& $


"z#TestSOSFilt.test_initial_conditionsc                 C   s  t jdjdddd}||}tjdddd	}t| }|jd }d
}t	|j}d||< |g| }t 
|}t||||d\}	}
t||d d d dd d f ||d\}}t||d d dd d d f ||d\}}t j||f|d}t||	ddd t||
ddd t|}|d
dd
g|_||d d dd
d d f  }t||||dd }t| \}}t||}d
|jd
g|_||d d dd
d d f  }t|||||dd }t||ddd d S )N   r   r?   )rC   r  r=   r   r@   rx  r`  r  rB   rC   r  rv  r  r  r   )ri   r   r  r  r   r   r%   r'   rX  r  r[  r-   r>  rJ  r/   r&   r#   r   r"   )rL   r  r`   r`  r^  Z	nsectionsrX  ZshpZz0r  r  rl  rr  r  rs  ra   r  rN   rM   Zy_tfrP   rP   rQ    test_initial_conditions_3d_axis1  s4   




**
z,TestSOSFilt.test_initial_conditions_3d_axis1c                 C   s   t d|}t d}t d}tjtdd t|||dd W d    n1 s*w   Y  d|d d d	f< tjtd
d t|||dd W d    d S 1 sRw   Y  d S )N)r=   r  r=   )r>   r@   )r>   r=   r=   rC   zshould be all onesr  rB   )r  rX  r  r=   zInvalid zi shape)ri   r  r[  rJ  r   r   r-   )rL   r  r`   r^  r  rP   rP   rQ   test_bad_zi_shape  s   

"zTestSOSFilt.test_bad_zi_shapec                 C   s   t jdddd}t|}t|td||d\}}t||dd t|d d d d	f jd
d|d d d	d f jd
d }t||dd t|td||	 d\}}t||dd d S )Nr@   r  r^  r  r  r  r  r  r=   r   rv  )
r   r%   r/   r-   ri   r;  rJ  r  r   r  )rL   r  r^  r  ra   r  ssr   rP   rP   rQ   test_sosfilt_zi  s   >zTestSOSFilt.test_sosfilt_ziN)
r   r   r   rR  rS  rQ  rW  rY  rZ  r\  rP   rP   rP   rQ   rP  0  s    &.rP  c                   @   rT  )TestDeconvolvec                 C   s6   g d}ddg}g d}t ||\}}t|| d S )N)r   rB   r   r   rB   rB   r   r   rC   rB   )	r   rC   rB   r   rC   r=   rB   r   r   )r   
deconvolver   )rL   originalimpulse_responserecordedZ	recovered	remainderrP   rP   rQ   rR     s
   zTestDeconvolve.test_basicc                 C   s\   ddgddgg}ddg}t jtdd t||\}}W d    d S 1 s'w   Y  d S )Nr   zsignal must be 1-D.r  rJ  r   r   r   r^  rL   ra  r`  Zquotientrb  rP   rP   rQ   test_n_dimensional_signal  s
   "z(TestDeconvolve.test_n_dimensional_signalc                 C   s\   ddg}ddgddgg}t jtdd t||\}}W d    d S 1 s'w   Y  d S )Nr   zdivisor must be 1-D.r  rc  rd  rP   rP   rQ   test_n_dimensional_divisor  s
   "z)TestDeconvolve.test_n_dimensional_divisorN)r   r   r   rR   re  rf  rP   rP   rP   rQ   r]    s    r]  c                   @   sx   e Zd Zdd Zdd Zejdddgejdg d	d
d Zdd Z	ejde
ddgddggdd ZdS )TestDetrendc                 C   s*   t tg d}tg d}t|| d S )NrA   )r   r   r   )r2   r   r   )rL   	detrendedZdetrended_exactrP   rP   rQ   rR     s   zTestDetrend.test_basicc                 C   s2   t g d}t|dd}t|dd}t|| d S )N)rB   333333?r  g?g333333@F)Zoverwrite_dataT)r   r2   r   )rL   r`   Z
copy_arrayZinplacerP   rP   rQ   	test_copy  s   zTestDetrend.test_copyr   linearr  rX  r  c                 C   s6   t dddd}t|||d}|j|jksJ d S )N   r?   r@   rv   )r  rX  )ri   r   rj   r2   rX  )rL   rX  r   r5  rh  rP   rP   rQ   rm    s   zTestDetrend.test_axisc                 C   s   g dg d }t |ddd}t|ddd t|d d d d f }t |ddd	d
}t|ddd tt t |ddd W d    d S 1 sHw   Y  d S )Nr  )r?   r   r  r  rk  r=   )r  bpr   rn  r  rB   )r  rm  rX  )r2   r   ri   r  r   r   )rL   r5  rh  rP   rP   rQ   test_bp
  s   
"zTestDetrend.test_bprm  r   rC   c                 C   sB   t jd}|d}t||d}t g d}t||dd d S )Ni90  rD   )rm  )
g3   g3   g_rgb	6ſgq]?g=~D?g@zI?gբg?ԅg1
ȿrn  r  )ri   r   r  r  r2   r   r   )rL   rm  r  r`   r  Zres_scipy_191rP   rP   rQ   test_detrend_array_bp  s
   
z!TestDetrend.test_detrend_array_bpN)r   r   r   rR   rj  rJ  rK  rL  rm  rn  ri   r   ro  rP   rP   rP   rQ   rg    s    rg  c                   @   rO  )TestUniqueRootsc                 C   :   g d}t |\}}t||dd t|tt| d S )N)r5  r  ry  ri  ru  r  rB  r3   r
   r	   ri   r;  r  rL   r  r  r  rP   rP   rQ   test_real_no_repeat)     z#TestUniqueRoots.test_real_no_repeatc                 C      g d}t |ddd\}}t|g ddd t|g d t |dd	d\}}t|g d
dd t|g d t |ddd\}}t|g ddd t|g d d S )N)r5  ffffff{Gz皙rw  r  ?r  r  tolr  )r5  rx  rw  r  r  rB  rC   rC   rB   rC   r~  )rw  ry  rw  rz  r  )g333333g
ףp=
rw  gffffff?r3   r
   r	   rs  rP   rP   rQ   test_real_repeat/  s   z TestUniqueRoots.test_real_repeatc                 C   rq  )N)r5  r         ?      ?r  rO  r  rB  rr  rs  rP   rP   rQ   test_complex_no_repeat>  ru  z&TestUniqueRoots.test_complex_no_repeatc                 C   rv  )N)r5        𿚙?ffffff333333?333333?rx  r  ??r  r  r{  )r5  r  rx  r  r  rB  r}  r~  )r  r  rx  r  r  )y      𿚙?y333333?rx  yffffff??r~  rs  rP   rP   rQ   test_complex_repeatD  s$   
z#TestUniqueRoots.test_complex_repeatc                 C   sb   t t t dt d}g d}t|\}}t |}tt ||dd t|g d d S )Nr?   )yw^Zu#yw_Zu#?yN/7? UDoyP/7?TDo?rv   rB  )rC   rC   rC   rC   )ri   r  r   r;  r3   sortr
   r	   )rL   r  Z
true_rootsr  r  rP   rP   rQ   test_gh_4915Y  s   
zTestUniqueRoots.test_gh_4915c                 C   sh   t g d\}}t|ddgdd t|ddg t g dd	d
\}}t|ddgdd t|ddg d S )N)r  r   r  r  r   r  rB  rC   rB   )rB   g_p   ?&.>      ?r  )r|  r  r~  r  rP   rP   rQ   test_complex_roots_extrac  s   z(TestUniqueRoots.test_complex_roots_extrac                 C   sP   t jddt jd  }t|d\}}t|t |gdd t|dg d S )Nr   r   rC   r  rB  )ri   r   r  r3   r
   r  r	   rs  rP   rP   rQ   test_single_unique_rootl  s   z'TestUniqueRoots.test_single_unique_rootN)
r   r   r   rt  r  r  r  r  r  r  rP   rP   rP   rQ   rp  (  s    
	rp  r  )r  r   )r  concurrent.futuresr   r   rC  r   	itertoolsr   mathr   rJ  r   r   Znumpy.testingr	   r
   r   r   r   r   r   r   numpyr   r   ri   Z	scipy.fftr   rA  r   Zscipy.optimizer   r   Zscipyr   Zscipy.signalr   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   Zscipy.signal.windowsr6   Zscipy.signal._signaltoolsr7   r8   r9   Zscipy.signal._upfirdnr:   Z
scipy._libr;   r<   r   r   rM  ra  r  r  r  r  r  r  r  rA  r  rK  r  r  r  r  r  r  r	  r  r  r  r  r  r  rK  rL  r7  r8  r9  r:  r;  r<  r=  r   r  r  r  r7  r@  Zcsingler>  r?  rA  rU  rY  r[  rw  r  r  r  r  r  r  r  r  r!  rG  rJ  rN  rP  r]  rg  rp  rP   rP   rP   rQ   <module>   s    (ht B  l 	P  O   
v-_'`
,  5\  p 

 /2