o
    tBh
                    @   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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 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/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZB d dlCmDZD d dlEmFZFmGZGmHZH d dlImJZJ d dlKmLZL G dd dZMG dd deMZNG dd dZOG dd deOZPG dd dZQdd ZRdd ZSd d! ZTd"d# ZUG d$d% d%ZVG d&d' d'ZWG d(d) d)ZXG d*d+ d+ZYg d,ZZeZeJ7 ZZG d-d. d.Z[G d/d0 d0Z\G d1d2 d2Z]G d3d4 d4Z^G d5d6 d6e^Z_G d7d8 d8e^Z`G d9d: d:e^ZaG d;d< d<e^ZbG d=d> d>e^ZcG d?d@ d@e^ZdG dAdB dBe^ZeG dCdD dDe^ZfdEdF ZgdGdH ZhejijdIejkejlejmejnejoepejqejqejrejsejtegG dJdK dKZuG dLdM dMZvejijdNg dOejijdPdQdRgejijdSg dTdUdV ZwejijdIejxejyejzgG dWdX dXZ{G dYdZ dZZ|G d[d\ d\Z}G d]d^ d^Z~G d_d` d`e~Zdadb ZddcddZdedf Zdgdh ZG didj djZG dkdl dlZG dmdn dnZG dodp dpZG dqdr drZdsdt ZddvdwZejijdxe:e/fdydz ZejijdId{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_warnsassert_array_lesssuppress_warnings)arrayarange)fft)correlate1d)fminlinear_sum_assignment)signal)	correlate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                   @   \   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>   
             rH         r   r   r   selfabc rQ   z/var/www/html/riverr-enterprise-integrations-main/venv/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@   )rC   rD   r>   r?   samemode)rE   rF   "   rK   rL   rQ   rQ   rR   	test_same.      z_TestConvolve.test_samec                 C   rT   )NrU   rB   rV   rW   )rE   rF   rF   rK   rL   rQ   rQ   rR   test_same_eq4   r[   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   )rM   xyzrQ   rQ   rR   test_complex:   s   
z_TestConvolve.test_complexc                 C   s$   d}d}t ||}t|||  d S )Ni	  i  )r   r	   rL   rQ   rQ   rR   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>   rC   directmethodr   )npr   reshaperanger   r   )rM   rN   rO   ib_shapera   rb   rQ   rQ   rR   test_broadcastableF   s   

z _TestConvolve.test_broadcastablec                 C   0   t dg}t dg}t||}t|||  d S Nig  iP  )r   r   r	   rL   rQ   rQ   rR   test_single_elementP      


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 NrB   rU   rD   r>   r?   r?   r@   rA   )rD            rJ   )rE      >   :   &   )rJ      r|   1   rz   r   r   r   rM   rN   rO   rP   drQ   rQ   rR   test_2d_arraysV   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   rD                 ?rf   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@fullrV   rC   r   valid)r   rk   r   r   r   )rM   smallbig	out_arrayrQ   rQ   rR   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 NrU   rB   spamrW   eggsr   )rX   ri   hamrg   r   baconrV   assert_raises
ValueErrorr   rM   rN   rO   rQ   rQ   rR   test_invalid_params      z!_TestConvolve.test_invalid_paramsN)__name__
__module____qualname__rS   rZ   r\   rd   re   ro   rr   r   r   r   rQ   rQ   rQ   rR   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)rC   rD   r>   rA   r@   r>   )	rD   r>   r?   r@   r>   r?   rD   rD   rC   )F   N   I   A   r   )y      ?      @       @      y      @               @            ?        y       @      $)r   r   rM   rN   rO   expectedoutrQ   rQ   rR   test_valid_mode2   s   


zTestConvolve.test_valid_mode2c                 C   s6   g d}g d}t ||d}tg d}t|| d S )N)rC   rD   r>   r>   rC   rD   )rC   r?   r>   r?   r@   rA   rw   r?   r>   rD   rC   rC   r>   rV   )9   =   ?   r   -   $   r   r   rQ   rQ   rR   test_same_mode   s
   zTestConvolve.test_same_modec                 C   h   t ddd}t ddd}tttg||fR i ddi tttg||fR i ddi d S 	NrC   rw   rD   r>   r   r>   rD   rX   r   )rj   r   rk   r   r   r   r   rQ   rQ   rR   test_invalid_shapes       $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 rQ   rQ   ).0_trQ   rQ   rR   
<listcomp>       z5TestConvolve.test_convolve_method.<locals>.<listcomp>c                 S   s   h | ]}t |jqS rQ   )rj   dtypenamer   r   rQ   rQ   rR   	<setcomp>       z4TestConvolve.test_convolve_method.<locals>.<setcomp>)

complex256
complex192float128float96strvoidbytesobjectunicodestringc                    s*   g | ]} D ]}d D ]}|||fq
qqS ))r   r   rV   rQ   )r   t1t2rX   )typesrQ   rR   r      s
    *   r   rC   size)rm   frm   rO   ur                 ?rP   c              	      s   i | ]}|t | d qS ))ri   rX   )r   )r   key)rX   x1x2rQ   rR   
<dictcomp>   s    z5TestConvolve.test_convolve_method.<locals>.<dictcomp>)r   rg   r   rg   boolc                 S   s   g | ]}|d v qS )>   float32	complex64rQ   r   rQ   rQ   rR   r      r   -C6?gư>rtolatolfloat16MbP?h㈵>:0yE>)sumrj   sctypesitemsremoverandomseedchoicerandnr   kindastyper	   r   anyr   )	rM   nr   argsarray_typesr   r   resultskwargsrQ   )rX   r   r   r   rR   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)	rE      2   3   4   5   6   <   r{   rD   r   r   rh   rg   r   )rj   r   int64r   r	   )rM   r   rc   r   rg   rQ   rQ   rR    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 NrC   rD   rg   rh   r   r>   r   rM   rQ   rQ   rR   test_mismatched_dims      z!TestConvolve.test_mismatched_dimsN)r   )	r   r   r   r   r   r   r   r   r  rQ   rQ   rQ   rR   r      s    
0r   c                   @   T   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 )_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 rt   r   r   r   )rM   rN   rO   r   erQ   rQ   rR   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rD   r>   r?   r@   rA   rw   r   r?   r@   rA   rw   r   	   rE   rB   rU   r{   P   b   t      r   r  rM   r  r   hgrQ   rQ   rR   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  rB   rU   r   r   )y      O@      8@y      T@      >@y     X@      B@y      ]@      E@y     `@      H@r   )rj   r   complexr   r   r   r  rQ   rQ   rR   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 )NrB   rU   ru   rv   rC   r   fill)      r~   rY   rH   )rG   (   r{   @   r   )rH   .   C   r{   0   r   r   r   )rM   rN   rO   fillvalrP   r   rQ   rQ   rR   test_fillvalue%  s   z_TestConvolve2d.test_fillvaluec                 C   s   t  ?}|tjd |td}tdggddggdd tt|dk t	j
ddtd tttdggddggdd W d    n1 sEw   Y  t  9 t	j
d	d
td tttdggddggddgd t	j
dd
td tttdggddggddgd W d    d S 1 sw   Y  d S )NzCasting complex values to realzcould not cast `fillvalue`rC   rD   r   	fillvalueerror)messagecategoryalwaysz'`fillvalue` must be scalar or an array )r   filterrj   ComplexWarningrecordDeprecationWarningr   r   lenwarningsfilterwarningsr   r   )rM   suprrQ   rQ   rR   test_fillvalue_deprecations/  s:   "z+_TestConvolve2d.test_fillvalue_deprecationsc                 C   s    t ttdggddggg d d S )NrC   rD   r   r   r   r   r   rQ   rQ   rR   test_fillvalue_emptyH  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 )	NrB   rU   ru   rv   r   wrap)r  r  J   r  r  )D   r4  r{   r4  r4  r  r   rQ   rQ   rR   test_wrap_boundaryM     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 )
NrB   rU   ru   rv   r   symm)rY   rz   ,   r{   B   )r   r  r{   r  T   )R   r   \   n   r   r  r   rQ   rQ   rR   test_sym_boundaryV  r6  z!_TestConvolve2d.test_sym_boundaryc                 C   r   r   )rj   r   rk   r   r   r   r   rQ   rQ   rR   r   _  r   z#_TestConvolve2d.test_invalid_shapesN)r   r   r   r   r  r  r  r/  r1  r5  r?  r   rQ   rQ   rQ   rR   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 )NrB   rU   r  r  rV   )rF   rG   rY   )r  r  r  r  )rM   r  r   r  r  rQ   rQ   rR   r   n  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 )NrB   rU   r  r  r
  r   r]   r   r_         @        )r         @       @rA  )rA  y      @      ?y      @      y      ;@      y      G@       @)r   r   )rM   r  r   r   r   rQ   rQ   rR   r   v  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   rV   rW   )rj   r   r   r
   r   r   squeezer   rM   rN   rO   rX   rQ   rQ   rR   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?   r0  r   rQ   rQ   rR   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          rD     g    .Ar   rC   )iH  r   )shapestridesr   )rj   r   itemsizer;   check_free_memoryzeroslibstride_tricks
as_stridedr   r   wherer   )rM   r   rN   countfailsrQ   rQ   rR   test_large_array  s    zTestConvolve2d.test_large_arrayN)r   r   r   r   r   rG  rH  pytestmarkslowxfail_on_32bitrV  rQ   rQ   rQ   rR   r@  l  s    
r@  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S )?TestFFTConvolveaxes Nr   r   c                 C   H   t g d}t g d}|dkrt||}nt|||d}t|| d S )NrB   rC   r?   rE   rJ         "@r]  r\  r   r   r   rM   r\  rN   r   r   rQ   rQ   rR   	test_real  s   zTestFFTConvolve.test_realrC   c                 C   T   t g d}t g d}t|ddg}t|ddg}t|||d}t|| d S )NrB   r_  rD   rC   ra  r   rj   tiler   r   rc  rQ   rQ   rR   test_real_axes     zTestFFTConvolve.test_real_axesc                 C   r^  )Nr]          @       @y      @      @r`   y               @y              4@y              8@y              2@r]  ra  rb  rc  rQ   rQ   rR   rd     s   zTestFFTConvolve.test_complexc                 C   re  )Nrj  rl  rD   rC   ra  rf  rc  rQ   rQ   rR   test_complex_axes  ri  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 )NrB   rv   rC   r?   rE   rJ   r	  r   r  8   r   r   rx   r  r   r   r   r]  ra  rb  rc  rQ   rQ   rR   test_2d_real_same  s   z!TestFFTConvolve.test_2d_real_samerD   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 )NrB   rv   rp  rq  rs  rD   rC   rC   ra  rf  rc  rQ   rQ   rR   test_2d_real_same_axes  s   	z&TestFFTConvolve.test_2d_real_same_axesc                 C   ro  )N      ?       @      @      @y      @      @r^   y      @      @y      @      @y            @y      $      4@y      5      L@y      2      S@y      &      N@y              $@y              F@y             ]@y             c@y             ^@rz  y      $@      4@y      5@      L@y      2@      S@y      &@      N@r]  ra  rb  rc  rQ   rQ   rR   test_2d_complex_same	  s   z$TestFFTConvolve.test_2d_complex_samec                 C   ru  )Nrx  r{  r|  r}  r~  rv  ra  rf  rc  rQ   rQ   rR   test_2d_complex_same_axes#  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 )NrB   	r>   r>   r@   rA   r   rw   r	  r   rC        A@     D@     G@	r`  g      4@      9@r  r  r       C@g      <@       @r]  rV   ra  rb  rM   r\  rN   rO   
expected_1
expected_2r   rQ   rQ   rR   test_real_same_mode:  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 )	NrB   r  r  r  rD   rC   rV   ra  rf  r  rQ   rQ   rR   test_real_same_mode_axesM  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>   rD   rC   r  g      8@g      ?@r  g     E@g     H@r        (@r]  r   ra  rb  rM   r\  rN   rO   r   r   rQ   rQ   rR   test_valid_mode_real_  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  rD   rC   r   ra  rf  r  rQ   rQ   rR   test_valid_mode_real_axesr  s   z)TestFFTConvolve.test_valid_mode_real_axesc                 C   r  )N      @      y       @      @r   rB  y      @      y      @        y      @      y       @        y     F@      (@y      >@      7@y      H@      @@r]  r   ra  rb  r  rQ   rQ   rR   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  rD   rC   r   ra  rf  r  rQ   rQ   rR   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  rf  r   rQ   rQ   rR   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@   rA   rw   )r   r   r   r   rQ   rQ   rR   
test_empty     zTestFFTConvolve.test_emptyc                 C   ,   t d}t d}t||}t|||  d S rq   r   r   r	   rM   rN   rO   r   rQ   rQ   rR   re        
zTestFFTConvolve.test_zero_rankc                 C   rp   rq   r  r  rQ   rQ   rR   rr     rs   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   r]  ra  绽|=r   )rj   r   r   randr   r   r   allcloser  rQ   rQ   rR   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   rD   rC   ra  r  r  )	rj   r   r   r  r   rg  r   r   r  r  rQ   rQ   rR   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)){   rF   )      r  r   r   r   rD   rC   r?   )rD   rC   r>   rC   rC   )rD   rC   rC   r?   rC   )rD   rC   r>   r?   rC   ra  r  r   )
rj   r   r   r  r   moveaxisswapaxesrg  r   r   )rM   r\  a_shapern   rN   rO   r   r   rQ   rQ   rR   test_random_data_multidim_axes  s    	z.TestFFTConvolve.test_random_data_multidim_axesr   r   rI  i  r  rJ  '  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   ra  )rj   r   r  r   r   r   )rM   r   rN   rO   r   r   rQ   rQ   rR   test_many_sizes  s   zTestFFTConvolve.test_many_sizes)$r   r   r   rW  rX  parametrizerd  rh  rd   rm  rt  rw  r  r  r  r  r  r  r  r  r  r  re   rr   r  r  r  rY  listrl   rj   r   RandomStaterandinttolistr  rQ   rQ   rQ   rR   r[    s    







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

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











r[  c                  O   s   t d)NzFell back to fftconvolve)RuntimeError)r   r   rQ   rQ   rR   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   rN   rO   rQ   rQ   rR   r     s    z!gen_oa_shapes.<locals>.<listcomp>rD   repeatr   sizesrQ   rQ   rR   gen_oa_shapes     r  c                 C   s@   t | }t | }dd t||D }g d}dd t||D S )Nc                 S   s   g | ]\}}|| qS rQ   rQ   )r   ishapes0ishapes1rQ   rQ   rR   r     r   z$gen_oa_shapes_2d.<locals>.<listcomp>rD  c                 S   sb   g | ]-\}}|d ks*|d |d kr|d |d ks*|d |d k r|d |d k r||f qS )r   r   rC   rD   r>   rQ   )r   ishapesimoderQ   rQ   rR   r     s      )r  zipr   )r  shapes0shapes1shapesmodesrQ   rQ   rR   gen_oa_shapes_2d  s   r  c                 C   r  )Nc                 S   s    g | ]\}}||kr||fqS rQ   rQ   r  rQ   rQ   rR   r   $  s    z$gen_oa_shapes_eq.<locals>.<listcomp>rD   r  r   r  rQ   rQ   rR   gen_oa_shapes_eq#  r  r  c                   @   s  e Zd Zej ejdeee	dee	ddd dd Z
ejdeg dejdd	d
gejdg ddd Zejdddgejdeg dejdddgejdddgejdd	d
gejdg ddd Zejdeg dejdd	d
gdd Zejdddgddgddggejdeg dejdddgejdddgejdd	d
gdd Zdd Zd d! Zd"d# Zd$S )%TestOAConvolvezshape_a_0, shape_b_0r   rI  rI   c                 C   s:   t j|}t j|}t||}t||}t|| d S N)rj   r   r  r   r   r   )rM   	shape_a_0	shape_b_0rN   rO   r   r   rQ   rQ   rR   test_real_manylens)  s
   

z!TestOAConvolve.test_real_manylens)r   /   rA   r?   rC   
is_complexTFrX   rD  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   rW   r   
rj   r   r  r   setattrr   _signaltoolsr  r   r   )
rM   r  r  r  rX   monkeypatchrN   rO   r   r   rQ   rQ   rR   test_1d_noaxes7  s   
zTestOAConvolve.test_1d_noaxesr\  r   rC   )r   r  rA   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 )NrD   r   rX   r\  r   r  )rM   r\  r  r  r  r  r  rX   r  ax_aax_brN   rO   r   r   rQ   rQ   rR   test_1d_axesK  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  )rM   r  r  	shape_a_1	shape_b_1rX   r  r  rN   rO   r   r   rQ   rQ   rR   test_2d_noaxesh  s   
zTestOAConvolve.test_2d_noaxesrD   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   rC   r   r  r   r  )rM   r\  r  r  r  r  rX   r  r  r  r  r  r  rN   rO   r   r   rQ   rQ   rR   test_2d_axes}  s"   


zTestOAConvolve.test_2d_axesc                 C   r  r  )r   r   r   r   rQ   rQ   rR   r    r  zTestOAConvolve.test_emptyc                 C   r  rq   r   r   r	   r  rQ   rQ   rR   re     r  zTestOAConvolve.test_zero_rankc                 C   rp   rq   r  r  rQ   rQ   rR   rr     rs   z"TestOAConvolve.test_single_elementN)r   r   r   rW  rX  rY  r  r  r  rl   r  r  r  r  r  r  r  r  re   rr   rQ   rQ   rQ   rR   r  (  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 )NrC   rw   r   r   r   r   zOFor 'valid' mode, one must be at least as large as the other in every dimensionmatchr   rW   )rj   r   rk   r   r   rM   r  rN   rO   rQ   rQ   rR   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@   rA   rD   rC   )r@   rA   r>   rC   zVincompatible shapes for in1 and in2: \(5L?, 6L?, 2L?, 1L?\) and \(5L?, 6L?, 3L?, 1L?\)r  r   rC   ra  )rj   rO  r   r   r  rQ   rQ   rR   test_invalid_shapes_axes  s   "z-TestAllFreqConvolves.test_invalid_shapes_axesza,brC   rD   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   )rM   rN   rO   r  rQ   rQ   rR   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  rC   rD   chipsrW   z#when provided, axes cannot be emptyra  z-axes must be a scalar or iterable of integersr>   r?   )      ?r        @      @z$axes exceeds dimensionality of inputrn  zall axes must be uniquer   r  )rM   r  rQ   rQ   rR   test_invalid_flags  s>    "z'TestAllFreqConvolves.test_invalid_flagsr   c                 C   sp   t jd|}t jd|}t | r |d7 }|d8 }t||}t|t||dd |j|ks6J d S )N)rf   rf   )r?   r?   y        ?rg   rh   )rj   r   r   iscomplexobjr   r   r   r   )rM   r   ra   rb   resrQ   rQ   rR   test_longdtype_input  s   
z)TestAllFreqConvolves.test_longdtype_inputN)r   r   r   rW  rX  r  r   r   r   r  r  r  rj   	longfloatlongcomplexr  rQ   rQ   rQ   rR   r    s2    

	
r  c                   @   s@  e Zd Zg dg dg dg dg dg dg dg dg d	g d
g
Zg dg dg dg dg dg dg dg dg dg dg
ZddgZdd Zej	de
je
je
je
je
jee
je
je
je
je
jgdd Zej	de
je
je
je
je
jgdd Zdd Zd d! Zd"d# Zej	de
je
je
jgd$d% Zd&S )'TestMedFilt)
r   r   r   r   r   r<     rf   r   r  )
r   r   r   r   r   r   H   M   r4  r9  )
r   r   r   r   r   r  r     r  r  )
r   r   r   r   r   r         _   #   )
r   r   r   r   r   r  rY   r	     r9  )
r   a   rG   r4  r   r  r   r|   G   r   )
r  r   r8  r  r4  rH   r  r4  r  r:  )
r>   !   r   r  rC   r   r3  7   rJ   S   )
rw   r  r  r   r   r  r  +   r   r  )
rH   r   X   rw   '   r?   r<  r  r   r   )
r   r   r   r   r   r  r  r  rf   r   )
r   r   r   r   r   r   r  r  r  r   )
r   r   r   r   r   r  rY   rY   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  )
rH   r   r   r   r   r  r  r   r  r  )
rw   r  r   r   r  r  r  r  r   r  )
r   rH   r
  r  rH   rH   r  r  r  r   )
r   rw   r  rw   r?   r?   r  r  r  r   rw   r>   c                 C   sB   t | j| j}t t| jt| j}t|| j	 t|| d S r  )
r   medfiltINKERNEL_SIZE	medfilt2drj   r   floatr   OUT)rM   r   r  rQ   rQ   rR   rS     s   zTestMedFilt.test_basicr   c                 C   s8   t j| j|d}tt|j| tt|j| d S Nr   )rj   r   r  r	   r   r  r   r  rM   r   in_typedrQ   rQ   rR   
test_types   s   zTestMedFilt.test_typesc                 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   order_filterNDr  )	rj   r   r  rW  r   r   r   r  r  r  rQ   rQ   rR   test_invalid_dtypes)  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 )NrE   r   r@   rA   rx   rC         @)rW  warnsUserWarningr   	TypeErrorr   r  rj   r   float64rL  r   )rM   dummyrN   rQ   rQ   rR   	test_none3  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   getrefcountrD   rE   )r   rj   r   r   hasattrsysr#  rW  r  r  rl   r   r  r   r	   )rM   rN   ra   r   jrQ   rQ   rR   test_refcounting?  s   

zTestMedFilt.test_refcountingc                 C   s8   t j| jtd}t j| jtd}tt|| j| d S r  )	rj   r   r  r   r  r   r   r  r  )rM   	in_object
out_objectrQ   rQ   rR   test_objectO  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   rD   rC   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NMinMselMoutNinNselNout
chunk_datamed)M1N1r  offMoffNrM   rQ   rR   applye  s$   



z2TestMedFilt.test_medfilt2d_parallel.<locals>.applyr?   )max_workers>   rC   r   r   r   r   rC   rC   rC   c                    s   h | ]}  |qS rQ   )submit)r   r,  )r;  poolrQ   rR   r     r   z6TestMedFilt.test_medfilt2d_parallel.<locals>.<setcomp>)rj   r   r  r  rK  r  
zeros_liker   r   resultr   )
rM   r   r   outputchunksfuturesfuturedataMsliceNslicerQ   )r7  r8  r;  r  r9  r:  rB  rM   rR   test_medfilt2d_parallelU  s$   
	z#TestMedFilt.test_medfilt2d_parallelN) r   r   r   r  r  r  rS   rW  rX  r  rj   ubytebyteushortshortuintint	ulonglongr   r   
longdoubler  bool_cfloatcdoubleclongdoubler   r  r"  r'  r*  rL  rQ   rQ   rQ   rR   r     sN    

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@   rA   r?   r>   )r>   r@   rA   rD   )rD   r>   r@   rA   )rC   rA   r	  rw   r   )gSXO@gXq	@gq@g?)g]`UUU@gFUUUU@gq@gcq@)gyq@gXq@gXq@gUJ4@)gUUUU?g2k6k@gҷWH@g@_)@rA   decimalr>   )mysize)r   r   r   wiener)rM   r  r  rQ   rQ   rR   rS     s   zTestWiener.test_basicNr   r   r   rS   rQ   rQ   rQ   rR   rZ        rZ  )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$d% Zd&S )'TestResamplec              	   C   s   t d}d}tdd}tttj|||d tttj|dd tttj|dd tttj|d	dd
d tttj|d	dddd t t dd}tj||d|d t	|j
dk d S )N      )kaiser       @   windowyorC   r   rD   r]  padtypera  rE   )rp  cval)rD   rC   r   axisrm  )rk  )rj   r   r   
get_windowr   r   resampleresample_polyrg  r   rK  )rM   signumwinsig2rQ   rQ   rR   rS     s   
zTestResample.test_basicrm  )Nhammingr.  )r   r  rx  )r   e   rE   r  c                 C   s   t jdd|dd}t |d  d }ttj|||dtj|d ||dj t t |d  d t |d  d g}|d }ttj||d	|d
tj||d	|d
jdd d S )Nr   rE   F)endpointrD   g      @rl  r   rC   rr  &.>r  )	rj   linspacecosr   r   ru  realr   sin)rM   r.  rx  rm  ra   rb   	y_complexrQ   rQ   rR   	test_rfft  s   .
zTestResample.test_rfftc                 C   sD   t dd }t|}d}ttj||ddtj||dddd d S )Nrh  r   freq)domaintimer~  r  )rj   r   r   r   r   ru  )rM   tsigfsigrx  rQ   rQ   rR   test_input_domain  s   
zTestResample.test_input_domainnx)rC   rD   r>   r@   r   nyr   )r  r  c                 C   s2   t dg| |}t||}t|dg|  d S )NrC   )rj   r   r   ru  r   )rM   r  r  r   ra   rb   rQ   rQ   rR   test_dc  s   zTestResample.test_dcrp  c                 C   sF   t d}t jdd}| }tj|dd||d t|| d S )Nr>   r   rD   r@   rC   rm  rp  )	rj   rO  r   r  r   copyr   rv  r   )rM   rp  impulserm  window_origrQ   rQ   rR   test_mutable_window  s
   
z TestResample.test_mutable_windowc                 C   sL   t jdt jd}t jg dt jd}tj|dd||d}|jt jks$J d S )NrE   r   rC   rC   rC   rC   rD   r  )rj   r   r   r   r   rv  r   )rM   rp  ra   r  rb   rQ   rQ   rR   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 )NrE   r   rC   rD   ro  )rj   r   r   rv  r   )rM   rp  r   ra   rb   rQ   rQ   rR   test_output_match_dtype  s   z$TestResample.test_output_match_dtypezmethod, ext, padtype)r   FN	polyphaseFTc                  C   s  d}g d}t |t| }t dd d t jf }t dt j | | t| }|D ]}	t |	t|	 }
t dt j | |
 t|	 }|dkrUtj	||	dd}nC|r|	|krt
|	|}|	| }|| }t||}d| }d	| }tjd| d
 |dd}||d}nd|i}tj||	|fddi|}t|||D ]>\}}}|d|	 kr|d |dv rt||dd qt||dd qt|j|j t ||d }t|dk|||	fd qq-t jd}t|t || }|D ]>}	t |	t|	 }
t |
||}|dkrt	||	}n	tj||	||d}t|j|j t ||d }t|dk|d q|dkrnt ddg}t	|d}t g d}t||dd t g d }t	|d}t ddg}t||dd d S d S )!Nr   )	r   r   r   c   r   r|           )r        $@g      D@rD   r   r   rs  r  rE   rC   )ri  r  rl  r  rp  rs        ?        )rc  rd  333333?r  r   r?  gGz?)msgr   ro  r   r   r?   )r         ?        r   r  -q=)r  r  r  r  )rj   r   r  r   newaxisr  pir6   r   ru  r   maxfirwinrv  r  r  r   r   rK  corrcoefr   r   r  cumsumr   interp) rM   ri   extrp  raterates_tor   freqsra   rate_tot_toy_tos	y_resampsr  updownmax_ratef_chalf_lenrm  polyargsy_toy_resampr  corrrngr   y1_testy1_truer   y2_testy2_truerQ   rQ   rR   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 )Nry   r  )rD   r  O   r   r   r   r~   r  r{  rl  constantro  rC   Hz>r   r   )rj   r   r  rR  r   r   r  r  r   r   
complex128r   r  r$   r   rv  r   )rM   random_state	try_typesr   down_factorsr   ra   r  r  yfhcrb   rQ   rQ   rR   test_poly_vs_filtfiltG  s$   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)rD   r?   rC   r  )rH   r
  r   r  rW   )r  r  rm  )rl   rj   r   r   r   rv  r   )rM   r  r  nweightsra   weightsy_gy_srQ   rQ   rR   test_correlate1dc  s   zTestResample.test_correlate1dN)r   r   r   rS   rW  rX  r  r  r  r  padtype_optionsr  r  rj   r   r   r  r  r   r  r  r  rQ   rQ   rQ   rR   rf    s>    



	Irf  c                   @      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)	rC   rD   r>   r?   r>   rD   rC   rD   r  rC   r   r  )dxx0rE   r@   r[  )r   r   r*  r   	cspline1dcspline1d_evalr   )rM   rb   ra   r  cjr   y2rQ   rQ   rR   rS   q  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 )NrD   r   r  r  r`   r  )rj   r   rO  rK  r   expr  r   r  r   r  r	   r   )rM   ra   rb   Tr   cyxnewynewrQ   rQ   rR   rd   }  s   

zTestCSpline1DEval.test_complexN)r   r   r   rS   rd   rQ   rQ   rQ   rR   r  o  s    r  c                   @   rY  )TestOrderFiltc                 C   s$   t tg dg ddg d d S )NrB   rC   r   rC   rC   )rD   r>   rD   )r   r   order_filterr   rQ   rQ   rR   rS     s   zTestOrderFilt.test_basicNr_  rQ   rQ   rQ   rR   r    r`  r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ 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   rC   )rj   r  prodrk   convert_dtype)rM   rK  ra   rQ   rQ   rR   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Orefs_okzerosize_okreadonly	writeonlyrQ   .F)r  )r   rj   asarrayemptyrK  nditertyper   )rM   arrr   iterra   rb   rQ   rQ   rR   r    s   

z_TestLinearFilter.convert_dtypec                 C   sJ   |  d}| ddg}| ddg}| g d}tt|||| d S NrA   rC   r   r        ࿩r   rD   r?   rA   r   r  r  r  r   r"   rM   ra   rO   rN   y_rrQ   rQ   rR   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  rC   r   rC   r>   r@   rw   r`  r  r  rQ   rQ   rR   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  rC   r   r   r  r  rC   rD   )rC   r@   r	     ry   r  r  zir  r  r"   r   	rM   ra   rO   rN   r  r  zf_rrb   zfrQ   rQ   rR   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  r  rC   )rC   rD   r>   rA   r	  r  r	  r@   r  r   r  rQ   rQ   rR   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>   rC   r   r  r   rD   r?   rA   r?   rD   r   r  r   )rM   ra   rO   rN   y_r2_a0rb   rQ   rQ   rR   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  rC   r   r  r   rD   r   rA   r  rA   rJ   r  rJ   r  ir  r  r   )rM   ra   rO   rN   y_r2_a1rb   rQ   rQ   rR   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  rC   r   r  )r?   rC   r  )rw   rw   )r  r  )r  r  )r  r  iirs  r  )r  r  rj   onesr  r"   r   )	rM   ra   rO   rN   r  	y_r2_a0_1r  rb   r  rQ   rQ   rR    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  rC   r   r  )rC   r>   )rC   r>   r@   )r@   r>   rC   )r  r  r   r  )r  r  rj   r  r"   r   )	rM   ra   rO   rN   r  	y_r2_a0_0r  rb   r  rQ   rQ   rR    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>   rD   rC   r   r  c                       t  | S r  r"   wrN   rO   rQ   rR   <lambda>      z3_TestLinearFilter.test_rank_3_IIR.<locals>.<lambda>r  r  rl   ndimr"   rj   apply_along_axisr   rM   ra   rs  rb   r  rQ   r!  rR   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  rC   r   r  c                       t  | dd S Nr  r   r  r  rN   rO   zi1rQ   rR   r"    r   z=_TestLinearFilter.test_rank_3_IIR_init_cond.<locals>.<lambda>c                    r)  Nr  rC   r  r  r+  rQ   rR   r"    r   r  r  rl   r%  r  rK  rj   r  r"   r&  r   rM   ra   rs  zi_shaper  rb   r  lf0lf1r  r  rQ   r+  rR   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  rC   c                    r  r  r  r  r!  rQ   rR   r"    r#  z3_TestLinearFilter.test_rank_3_FIR.<locals>.<lambda>r$  r'  rQ   r!  rR   test_rank_3_FIR  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  rC   rD   c                    r)  r*  r  r  r+  rQ   rR   r"  (  r   z=_TestLinearFilter.test_rank_3_FIR_init_cond.<locals>.<lambda>c                    r)  r-  r  r  r+  rQ   rR   r"  )  r   r.  r/  rQ   r+  rR   test_rank_3_FIR_init_cond  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   皙?barE  r   rC   r?   r@   r  r   )r  r   r%   r  rK  rj   r  r"   r   r   r   )rM   ra   rO   rN   zi_sizezi_fullzi_singy_fullzf_fully_singzf_singrQ   rQ   rR   test_zi_pseudobroadcast/  s   




z)_TestLinearFilter.test_zi_pseudobroadcastc                 C   sP   |  d}| g d}| dg}| g d}t||d |}t|| d S )NrA   r  rC   )r   rC   rD   rD   rD   rD   r   r   )rM   ra   rO   rN   r  rb   rQ   rQ   rR   test_scalar_aD  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>   rD   r@   lr@   rC   r   r   )r>   rC   r?   rC   rD   r>   )r>   rD   r?   r?   r   r   )r  rj   rO  r  r   r"   r   )rM   ra   rO   rN   r  zf_expected
y_expectedy_iirzf_iiry_firzf_firrQ   rQ   rR   test_zi_some_singleton_dimsN  s"   
,



z-_TestLinearFilter.test_zi_some_singleton_dimsc                 C   s@   |  |}|  |}|  |}|  |}ttt||||| d S r  )r  r   r   r"   )rM   rO   rN   ra   rs  r  rQ   rQ   rR   base_bad_size_zii  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 )NrA   rC   r   r   )r   rC   rD   r  r   rC   rD   r>   rJ   r  rD   )r   rC   rD   r>   r?   r@   rU   r>   r?   r@   )r?   r@   rA   rw   )r   rC   rD   r>   r?   r@   rA   rw   rw   r   r	  )rj   r   rK  rk   )rM   r   r   rQ   rQ   rR   test_bad_size_zip  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@   rC   r  r   )r  r  r"   r   r	   r   r   )rM   ra   rN   rO   r  rb   r  rQ   rQ   rR   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 )NrC   r  r   TF)r  r+   r   )rM   rN   rO   r  zi_1zi_2rQ   rQ   rR   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 )	NrC   r  rD   rw   r   r3  r  r  r"   r   	rM   rN   rO   r  ra   yezferb   r  rQ   rQ   rR   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 )
NrC   r  rD   rw   r   r3  irR  r  rS  rT  rQ   rQ   rR   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  r  r"   r   r	   rM   ra   rO   b0rN   a0r  y_frQ   rQ   rR   test_do_not_modify_a_b_IIR   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  rD   )r   r  rC   rD   r>   r  rY  rZ  rQ   rQ   rR   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(  r3  r4  r5  r@  rA  rJ  rK  rM  rN  rQ  rW  rX  r^  r_  rQ   rQ   rQ   rR   r    s4    		


`r  c                   @      e Zd ZedZdS )TestLinearFilterFloat32r   Nr   r   r   rj   r   rQ   rQ   rQ   rR   ra        ra  c                   @   r`  )TestLinearFilterFloat64r   Nrb  rQ   rQ   rQ   rR   rd    rc  rd  c                   @   r`  )TestLinearFilterFloatExtendedr  Nrb  rQ   rQ   rQ   rR   re  !  rc  re  c                   @   r`  )TestLinearFilterComplex64FNrb  rQ   rQ   rQ   rR   rf  %  rc  rf  c                   @   r`  )TestLinearFilterComplex128DNrb  rQ   rQ   rQ   rR   rh  )  rc  rh  c                   @   r`  )TestLinearFilterComplexExtendedGNrb  rQ   rQ   rQ   rR   rj  -  rc  rj  c                   @   s   e Zd ZedZdd ZdS )TestLinearFilterDecimalr  c                 C   s   t t|S r  )r   r   rM   ra   rQ   rQ   rR   r  3  s   zTestLinearFilterDecimal.typeN)r   r   r   rj   r   r  rQ   rQ   rQ   rR   rl  0  s    
rl  c                   @   s   e Zd ZedZeZdS )TestLinearFilterObjectr  N)r   r   r   rj   r   r  r  rQ   rQ   rQ   rR   rn  7  s    
rn  c                   C   sL   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 )Nr  )r  Nr  r  r  r  )r   r  r"   rQ   rQ   rQ   rR   test_lfilter_bad_object<  s   rp  c                   C   s    t ttddgddgg d d S )NrD   r>   r?   r@   )rC   rD   r>   r?   r@   )r   NotImplementedErrorr"   rQ   rQ   rQ   rR   !test_lfilter_notimplemented_inputD  s    rr  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?   rC   rD   )r   rD   r@   r   r>   )rj   r  r   r   rM   rs  rN   rO   r  rQ   rQ   rR   _setup_rank1N  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 )NrA   
resolutionr  )rj   finfor$  rR  log10rw  	Exception)rM   res_dtr\  dt_inforQ   rQ   rR   equal_toleranceU  s   

z!TestCorrelateReal.equal_tolerancec                 C   s    |t jkr| t jS | |S r  )rj   rT  r}  double)rM   r{  rQ   rQ   rR   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>   rg   r   rh   r[  )	r   r   r	   _setup_rank3r   r   r  r   r}  )rM   rs  ri   rN   rO   r  y_ffty_directrQ   rQ   rR   test_methodh  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   rC   r?   r   rv  r   r   r	   r   rM   rs  rN   rO   r  rb   rQ   rQ   rR   test_rank1_validv  s   z"TestCorrelateReal.test_rank1_validc                 C   s>   |  |\}}}t||d}t||d d  t|j| d S )NrV   r   r  r  rQ   rQ   rR   test_rank1_same  s   z!TestCorrelateReal.test_rank1_samec                 C   s6   |  |\}}}t||d}t|| t|j| d S )Nr   r  r  rQ   rQ   rR   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  )rD   r?   r@   rg  )orderrI   r  ru   )r  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     @r  )g      6@g     j@g     @g     @g     Д@g     p@g     z@g     `@)g     U@g     @~@g     (@r  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     ؐ@r  )r  g     @r  g      @g     @g     Ȗ@g     @g     S@)g     _@g      v@g     @g     @g     @g     p@g     @m@r  r   )rj   r  rk   r   r   ru  rQ   rQ   rR   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   rC   rD   r?   r>   r@   r   r  r   r   r	   r   r  rQ   rQ   rR   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 )NrV   r   r   rC   rn  r  r  rQ   rQ   rR   test_rank3_same  s    z!TestCorrelateReal.test_rank3_samec                 C   s4   |  |\}}}t||}t|| t|j| d S r  r  r  rQ   rQ   rR   test_rank3_all  s   

z TestCorrelateReal.test_rank3_allN)r   r   r   rv  r}  r  r  r  r  r  r  r  r  r  rQ   rQ   rQ   rR   rt  I  s    rt  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestCorrelatec                 C   r   r   )rj   r   rk   r   r   r   r   rQ   rQ   rR   r     r   z!TestCorrelate.test_invalid_shapesc                 C   r   r   r   r   r   r   rQ   rQ   rR   r     r   z!TestCorrelate.test_invalid_paramsc                 C   r   r   r  r   rQ   rQ   rR   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 )NrB   r?   r@   rV   rW   )r@      rI   rv   )ry   rH   rI   r   )rA   ry   rH   rI   rJ   r   rH   )r   r   r   rQ   rQ   rR   test_numpy_fastpath  s   z!TestCorrelate.test_numpy_fastpathN)r   r   r   r   r   r  r  rQ   rQ   rQ   rR   r    s
    		r  rX   r   rV   r   behindTF
input_size)r   r|  rI  rJ  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   rE   rW   )rj   r   r  standard_normalrR  concatenater   r   r   argmaxr	   rK  )rX   r  r  r  in1offsetin2r   correlationlags	lag_indexrQ   rQ   rR   test_correlation_lags  s   

r  c                   @   r  )TestCorrelateComplexc                 C   s(   |t jkrt j}tdt |j d S )NrD   r>   )rj   rX  rW  rR  rx  	precision)rM   rs  rQ   rQ   rR   r\    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	  rE   r   r   rW   )rj   r   r   r   r   r   r  imag)rM   rs  rX   rN   rO   r  rQ   rQ   rR   rv    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   r[  r   )rv  r   r   r\  r	   r   conjr  rQ   rQ   rR   r  '  s   "z%TestCorrelateComplex.test_rank1_validc                 C   B   |  |d\}}}t||d}t||| |d t|j| d S )NrV   r[  rv  r   r   r\  r	   r   r  rQ   rQ   rR   r  2     z$TestCorrelateComplex.test_rank1_samec                 C   r  )Nr   r[  r  r  rQ   rQ   rR   r  8  r  z$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]   rk  r   y      ?      @y       @      @y      @      @y      @      @)r         $@             <@            6@      y      0@      y       @      )rj   r   r   r	   rM   rs  r   krb   rQ   rQ   rR   test_swap_full>  s   
z#TestCorrelateComplex.test_swap_fullc                 C   s0   g d}g d}t ||dd}t|g d d S )Nr  r  rV   rW   )r  r  r  )r   r	   r  rQ   rQ   rR   test_swap_sameD  s   z#TestCorrelateComplex.test_swap_samec                 C   s   t jddd|}|dt jddd| 7 }t jddd|}|dt jddd| 7 }t|j|jt|j|j |}|dt|j|j t|j|j  7 }t||d}t||| |d d t	|j
| d S )	NrE   r   rA   r   r?   r   rC   r[  )rj   r   r   r   r   r  r  r   r\  r	   r   r  rQ   rQ   rR   
test_rank3J  s   &zTestCorrelateComplex.test_rank3c                 C   s8  t t j |}|dt t j | 7 }t t j |}|dt t j | 7 }t|j|jt|j|j |}|dt t|j|j t|j|j  7 }t||d}t||| 	|d d t
|j| t
tdgdgtdd t
tdgdgtdd t
tdgdgtdd d S )Nr   r   rC   r[  r`                 @r?   )rj   r   r   r   r   r   r  r  r   r\  r	   r   r  rQ   rQ   rR   
test_rank0X  s$   
zTestCorrelateComplex.test_rank0N)r   r   r   r\  rv  r  r  r  r  r  r  r  rQ   rQ   rQ   rR   r    s    	r  c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestCorrelate2dc              	   C   s   t d}t g d}dD ]T}tt j|||dtj|||d tt tj|g|g|dtj|||d |dkrbtt j|||dtj|||d tt tj|g|g|dtj|||d qd S )Nr@   rC  rD  rW   r   )rj   r   r   r
   r   r   rE  correlate2drF  rQ   rQ   rR    test_consistency_correlate_funcsn  s,   
z0TestCorrelate2d.test_consistency_correlate_funcsc                 C   sl   t ddd}t ddd}tttjg||fR i ddi tttjg||fR i ddi d S r   )rj   r   rk   r   r   r   r  r   rQ   rQ   rR   r     s   "&z#TestCorrelate2d.test_invalid_shapesc                 C   sR   t tdggdggd t tdggdggd t tdggdggd d S )NrC   r`   y              r  rA   r?   y              (@)r	   r   r  r   rQ   rQ   rR   test_complex_input  s   z"TestCorrelate2d.test_complex_inputN)r   r   r   r  r   r  rQ   rQ   rQ   rR   r  l  s    r  c                   @   r  )TestLFilterZIc                 C   sB   t g d}t g d}t ddg}t||}t|| d S )N)r        r  )r  r  r  r  r  )rj   r   r#   r   )rM   rN   rO   zi_expectedr  rQ   rQ   rR   rS     s
   
zTestLFilterZI.test_basicc                 C   sJ   t g d}t g d}t||}td| d| }t||dd d S )N)rD   r   r@   )rC   rC   r   rD   r  r  )rj   r   r#   r   )rM   rO   rN   r,  zi2rQ   rQ   rR   test_scale_invariance  s
   
z#TestLFilterZI.test_scale_invarianceN)r   r   r   rS   r  rQ   rQ   rQ   rR   r    s    r  c                   @   sN   e Zd ZdZ		dddZdd	 Zd
d Zdd Zdd Zdd Z	dd Z
dS )TestFiltFilttfr   oddNpadc              	   C   sR   | j dkrt| \}}	t||	||||||S | j dkr't| }
t|
||||S d S )Nr  sos)filtfilt_kindr&   r$   r'   r.   )rM   zpkra   rs  rp  padlenri   irlenrO   rN   r  rQ   rQ   rR   r$     s   

zTestFiltFilt.filtfiltc                 C   s:   t g dg d}| |td}t|tddd d S )NrB   rJ   g6{=r  )r0   r$   rj   r   r   )rM   r  r   rQ   rQ   rR   rS     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  rC   rE   i  r         ?r  r8  r   )r  r   r  rs  )rj   r  r  r  r%   r  r  rR  ceillogr$   r   vstackr	   rK  r  )rM   r  r   xlowxhighra   r  r.  epsr   rb   errx2dy2dy2dtrQ   rQ   rR   	test_sine  s&   zTestFiltFilt.test_sinec                 C   s   t dddd}tdddd}| j||d	d	d
}| j|t |d	dd	dd
}t|t |d	d | j|t |d	dd	dd
}t|t |d	d d S )Ng     @rE   r  rJ   r>   r  r  r8  r   r  rC   rD   )rj   r   rk   r%   r$   r  r   )rM   ra   r  y0y1r  rQ   rQ   rR   	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  r  rC   rE   +=r   )r  r   r$   rj   r   r   )rM   r   rQ   rQ   rR   test_acoeff  s   
zTestFiltFilt.test_acoeffc                 C   s   | j dkr
td tddg}tdg}tddg}t|||\}}}t|d |d gd|d  d	|d
   d	|d  d|d
   g t||d d|d   d|d   d|d
   d|d  |d  d|d   d|d
   g d S )Nr  $gust only implemented for TF systemsr  r  r  r  r   r  r6  rC         ?r  )r  rW  skiprj   r   r7   r   )rM   ra   rO   rN   rb   z1z2rQ   rQ   rR   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  r  rJ   r  r  gustrh   rD   )r  rW  r  rj   r   r$   r   )rM   ra   rO   rN   rb   r   rQ   rQ   rR   test_gust_scalars  s   


zTestFiltFilt.test_gust_scalars)r   r  Nr  N)r   r   r   r  r$   rS   r  r  r  r  r  rQ   rQ   rQ   rR   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   rI  rC   rA   ffffff?r  r8  r  zorder=%s)r   err_msgN)rj   r   r  r   rl   r   r%   r&   r'   r$   r.   r   )	rM   ra   r  r  rO   rN   r  rb   y_sosrQ   rQ   rR   test_equivalence		  s   
z TestSOSFiltFilt.test_equivalenceN)r   r   r   r  r  rQ   rQ   rQ   rR   r  	  s    r  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.rC   Nr  r   r   rD   )r  r*  r"   rj   r   )icsrO   rN   ra   mz0fz0br]  y_fby_by_bfvaluerQ   rQ   rR   filtfilt_gust_opt_func	  s   ((z1filtfilt_gust_opt.<locals>.filtfilt_gust_opt_funcrC   Nr  r  r  TF)r   xtolftolmaxfunmaxiterfull_outputdispr   z5minimization failed in filtfilt_gust_opt: warnflag=%dr   r  )	r  r*  r#   rj   r  ra  r   r  r"   )rO   rN   ra   r  r  r  r  rD  optfoptniterfuncallswarnflagr  r  r  rb   rQ   rQ   rR   filtfilt_gust_opt	  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  r  )rs  ri   r  )rs  r  r   rC   c                 S   s   g | ]}t |qS rQ   )rl   )r   r   rQ   rQ   rR   r   U	  r   z'check_filtfilt_gust.<locals>.<listcomp>r   r~  r   )rj   r   r   r   r$   r7   r  rK  
empty_liker  r*  r  r   r  r   )rO   rN   rK  rs  r  ra   rb   ygzg1zg2xx	out_shapern  r  zo1zo2indxrQ   rQ   rR   check_filtfilt_gustA	  s&   
$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  )rC   rD   )r   rA   rg   rW   T)rX   measure>   r   rg   r   rg   rE   )r   r   r   l         @ r>   rD   rC   r?   )rj   r   r   r   r	   r   r  dictkeysr$  r  r  r   r   r   )rX   r%  r   r  true_methodra   r  ri   
method_trytimesnot_fft_conv_supprQ   rQ   rR   test_choose_conv_methoda	  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  r8  r  r  r@   r   )rD   rD   rD   rD   r   )r   elliprj   r  r  rR  r  r  r   r   r&   r	  rl   )rc   pr  r  r.  approx_impulse_lenrO   rN   r  
signal_lenrs  rK  lengthrQ   rQ   rR   test_filtfilt_gust	  s    r  c                   @   r<   )TestDecimatec                 C   s6   t d}tttj|ddd tttj|ddd d S )NrJ   r  rC   )qr   rD   )rj   r   r   r  r   decimaterm  rQ   rQ   rR   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 )NrJ   rD   rC   iirFr   ftype
zero_phaserj   r   r   r  roundr   rM   ra   rb   rQ   rQ   rR   test_basic_IIR	     
zTestDecimate.test_basic_IIRc                 C   r  )NrJ   rD   rC   firFr   r#  r%  rQ   rQ   rR   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)rz   rz   rD   r   F)rs  r"  )r  rz   rC   )rz   r  )rj   rO  r   r  r	   rK  )rM   rc   d0d1rQ   rQ   rR   
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ri   r"  r   r&  r1   _test_phaseshiftrM   r-  rQ   rQ   rR   test_phaseshift_FIR	     "z TestDecimate.test_phaseshift_FIRc                 C   r-  )Nr.  r(  Tr/  r0  r2  rQ   rQ   rR   test_zero_phase_FIR	  r4  z TestDecimate.test_zero_phase_FIRc                 C      | j ddd d S )Nr  Fr/  r1  r   rQ   rQ   rR   test_phaseshift_IIR	     z TestDecimate.test_phaseshift_IIRc                 C   r6  )Nr  Tr/  r7  r   rQ   rQ   rR   test_zero_phase_IIR	  r9  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   rz   r  r   rC   皙?rD   r`   皙?r(  rz   r  r{  rl  r  r   g?F)r!  r"  r   r  r  r   r   r  )rR  rj   r   r  r   r  r  r  r   windowstukeyr   dltir  cheby1freqzrx  denr  	ones_liker  r  r   r  r   angle)rM   ri   r"  r  r  t_totr   r  r   r  r  r  d_tosr   systemwcr   h_respsr  	h_resampssubnyqrQ   rQ   rR   r1  	  sR   $$
zTestDecimate._test_phaseshiftc                 C   s|   d}d}t || }t d| t dt j |d  |  }tt j|ddd tj	|d	d
d}t
t j|d d S )Ng      Y@rI  r  rD   g      >@r  r   r  rz   r(  )r!  r  )rj   r   sqrtr  r  r   linalgnormr   r  r   )rM   sfreqr   r   ra   x_outrQ   rQ   rR   test_auto_n	  s   *zTestDecimate.test_auto_nN)r   r   r   r  r&  r)  r,  r3  r5  r8  r:  r1  rQ  rQ   rQ   rQ   rR   r  	  s    0r  c                   @   r  )TestHilbertc                 C   s6   t dg}ttt| t d}ttt|dd d S )Nr   rj  r   r.  )rj   r   r   r   r    r   rm  rQ   rQ   rR   r  
  s   
zTestHilbert.test_bad_argsc                 C   sj  d}t j}t dd| |d }t |}t |}t d| }t d| }t ||||g}t|}	t |	}
t |	}t 	|	}t
||| t
|
t |j| t
|dd df t | d |d |d | t
|dd df t d||d | t
|dd df t | d |d |d | t
|dd df t d||d | t
|	d j|| d S )Nr  r   rD   rh  rC   rg  r>   )rj   r  r   r  r  r  r    r  rD  r  r
   r  rK  r  )rM   r\  r  r   r\  a1a2a3rN   r  h_absh_angleh_realrQ   rQ   rR   test_hilbert_theoretical
  s:   




  z$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>   rA   r   r  r   r  r   )r.  rs  )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$?yESU?yffffff<?7?y433333<wEoy!5P{3'ſy        _N@տy<}ٿy<-cyF8<2OW\zN regression)	rj   r   rk   r    r	   r  r
   rK  r   )rM   rN   aaaana0hilbrQ   rQ   rR   test_hilbert_axisN5
  s   zTestHilbert.test_hilbert_axisNN)r   r   r   r  rZ  r^  rQ   rQ   rQ   rR   rR  
  s    )rR  c                   @   rY  )TestHilbert2c                 C   s   t dgg}ttt| t dddd}ttt| t ddd}ttt|dd ttt|d	d ttt|d
d d S )Nr   r  rD   r>   r?   rx   r   rS  )rD   r   )rD   )rj   r   r   r   r!   r   rk   rm  rQ   rQ   rR   r  ]
  s   zTestHilbert2.test_bad_argsN)r   r   r   r  rQ   rQ   rQ   rR   r_  [
  r`  r_  c                   @   s   e Zd Zed#ddZdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"S )$TestPartialFractionExpansionrw   c                 C   s   t |}t |}t t|d d d f | t| d d d f | }t|\}}t|| || |d t| | || |d d S )Nr[  )rj   r  hypotr  r   r
   )r.  r  r_truep_truer\  distancerowscolsrQ   rQ   rR   assert_rp_almost_equaln
  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 )NrB   r  r>   r   )rD   rD   r>   rC   )rC   rC   rC   r>   rD   )rC   rC   rC   rD   rD   )rC   rC   rC   rD   rD   r>   T)include_powersrA   )rC   rC   rD   rD   r>   )rC   rD   rD   r>   )rC   rC   rC   rD   r>   r?   r@   )r8   r	   r*  r
   rj   poly)rM   factorsri  rQ   rQ   rR   test_compute_factorsz
  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?r  g/$ @r  r<  minro  r  )r9   r	   rM   uniquemultiplicityrQ   rQ   rR   test_group_poles
  s
   
z-TestPartialFractionExpansion.test_group_polesc                 C   s>  t g dg d\}}}t|g ddd t|g ddd t|dgdd t dd	gg d
\}}}t|d	dg t|ddg t|jd t ddgg d\}}}t|ddg t|ddg t|jd t ddgg d\}}}| ||g dg d t|jd t ddgg d\}}}| ||g dg d t|jd t g dg d\}}}t|g d t|g d t|ddg t dgg d\}}}t|ddg t|dd g t|jd t g d!g d"\}}}| ||g d#g d$ 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>   rn  rw   r  r   r   r>   )gZd;O?g9#Jg&䃞ͪr?   r[  )g-1ڿgeagvq-?g      r  r   rC   rA   r   irn  r   rC   )rC   r   rn  r>   r   rD   )rD   g333333gGz?gClٿ)y      2     @*y      2     @*@g      B@)y      ?ɿy      ??gffffff?)rC   r@   r   r?   )r   rC   r>   )r   rn  rn  )r>   gg)\(?g^I+g rh?)rC   gffffffgQg~jt?)r?   rC   )r6  g333333ӿr;  )rC   rD   rt  r        пrt  )rC   r   r  )rC   r   r   r   r   )rC   y              ?y             r   )r                r   rC   )r>   r   rA   rC   r>   r>   rC   rB   r   r   r   )rC   rt  rD   r@   )rD   r>   r   r  )rw   rD   r>   r   r  E   rw   rI   )rC   rt  r?   rn  )r?   y            @y            )rC         ?      r]   )r4   r
   r	   r   rg  rM   r.  r  r  rQ   rQ   rR   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 )Nrq  rr  )r   r@   r>   rn  rw   )r   r  r   r   r>   )r   r   r@   r>   rn  rw   )r   r   r   r  r   r   r>   )r4   r
   rM   r0p0k0r1p1k1r2p2k2r3p3k3rQ   rQ   rR   test_residue_leading_zeros
  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   rs  rn  r  rC   Denominator `a` is zero.r  )r4   r
   r	   r   rW  r   r   r{  rQ   rQ   rR   test_resiude_degenerate
  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$d%g t|d&dg t|jd t g d'ddg\}}}t|dg t|dg t|ddg t ddd(g\}}}t|dg t|d)g t|jd t dg d*\}}}t|ddg t|ddg t|jd t dg d+\}}}t|ddg t|d#dg t|jd t g d,g d'\}}}t|d-d.g t|ddg t|dg t d/dgg d'\}}}t|d0d1g t|ddg t|jd t g dg d'\}}}t|d2d3g t|ddg t|d4dg t g d5g d6\}}}| j||g d7g d8dd t|jd d S )9N)rC   rA   rA   rD   )rC   y             ry  rv  )y             @y      @      @y            ()r   rC   rC   r`   )rC   rD   rC   )rC   r   g'W?y	c-y	c-@y      ?*D?y      ?*DԿr?   r[  gŏ1w@rC   r   )rC   r  rA   rD   r>   r   ru   rw  )r?   r  r>   rx  )rC   r  r  r?   )rD   rn  r  r  g            ?r  )r  r>   r  r   )g
ףp=
?gQ?皙?)r  UUUUUUտr  r  r  g
gUUUUUU@ru  rC   rn  rC   rv  r   )rC   r   r  )rC   g      r  )rC   rA   rD   r  r	  rA   rn  r   ir  rE   r  )rC   r   r   r   r   r   )yoT?c=yX?yoT?c=yXȿr  yjM?%uyjM?%u?)ySsA?ySsAr  y-?8gDio?y-?8gDio)r5   rg  r
   r	   r   rj   polymulr{  rQ   rQ   rR   test_residuez_general
  s   $z2TestPartialFractionExpansion.test_residuez_generalc                 C   r}  )Nrq  rr  )r@   r>   rn  rw   r   )r  r   r   r>   r   )r@   r>   rn  rw   r   r   )r  r   r   r>   r   r   r   )r5   r
   r~  rQ   rQ   rR   test_residuez_trailing_zerosG  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   rs  rn  r  rC   r  r  z6First coefficient of determinant `a` must be non-zero.rL  )r5   r
   r	   r   rW  r   r   r{  rQ   rQ   rR   test_residuez_degenerateX  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)r  UUUUUUſg)r   rn  r  )r   rC   r>   )rC   rw   rE   r   avgra  rl  rc  r  rd  rtyper(   r   r)   )	rM   r.  r  r  
b_expected
a_expectedr  rO   rN   rQ   rQ   rR   *test_inverse_unique_roots_different_rtypesk  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   rn  rn  r  )r   r   rC   r>   )r  gUUUUUUgUUUUUU?r>   )rC   r	  r  r   r   r  r  r  r  r  )
rM   r.  r  r  r  b_expected_zr  r  rO   rN   rQ   rQ   rR   ,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  rb  r  )rW  r   r   r(   r)   r{  rQ   rQ   rR   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 )NrC   rD   r   r  g       )r)   r   )rM   r.  r  r  rO   rN   rQ   rQ   rR    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 )NrC   r   rz  rD         ?      rC   r   r]   y      @      y      !      ?y      @      
@rC   y             y      ?       @y      ?      r  rz  rk  rB   )rC                     ?       r  rE   rC               r?   r   rD   r   r  r?   rn  r   r   r   r>   r>   r>   )y      @      y      <      0@y      D@      Oy      Y@      8@y     @r     `k@y      h@     prC   y      (       @y     J@      4y      X      Q@y      ;@      Ry      [@      Ky     @T      [@r   rD   )rC   r   r  r_   r  )r(   r
   rM   rO   rN   rQ   rQ   rR   test_invres  "   z(TestPartialFractionExpansion.test_invresc                 C   r  )NrC   r   r  r  r  r  r  rz  rk  rB   )g      @r  r  y            rJ   r  r  r  )rA   y      I      &@y      Y@      Ry      T@      M@y      v     l@y     @m@     rr  r   rD   )r   rC   rt  rD   r  )r)   r
   r  rQ   rQ   rR   test_invresz  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 )NrC   r   r   rD   )r(   r
   r)   r  rQ   rQ   rR   test_inverse_scalar_arguments  s   z:TestPartialFractionExpansion.test_inverse_scalar_argumentsN)rw   )r   r   r   staticmethodrg  rk  rp  r|  r  r  r  r  r  r  r  r  r  r  r  r  rQ   rQ   rQ   rR   r`  m
  s$    DQ		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S )TestVectorstrengthc                 C   s`   t dg}d}d}d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr  r  r  r<  r   rD   rj   r   r*   r	   r%  r
   r  rM   eventsperiodtarg_strength
targ_phasestrengthphaserQ   rQ   rR   test_single_1dperiod  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 )Nr  )rC   rD   r  r  r>   )r  r  r<  rC   rD   )rj   r   r*   r	   r%  r   r
   r  r  rQ   rQ   rR   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r  r  r  r  r  r  rD   r  r  r   r  r  rQ   rQ   rR   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  rC   rD   r  r  r  r  r  rQ   rQ   rR   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$@rC   r  r<  r   rD   r  r  rQ   rQ   rR   test_spaced_1dperiod  r  z'TestVectorstrength.test_spaced_1dperiodc                 C   sv   t g d}ddg}dgd }t ddg}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr  rC   r  r  rD   r<  r6  r  r  rQ   rQ   rR   test_spaced_2dperiod  r  z'TestVectorstrength.test_spaced_2dperiodc                 C   r  )Nr  r        ?rC   UUUUUU?r  r   rD   r  r  rQ   rQ   rR   test_partial_1dperiod+  r  z(TestVectorstrength.test_partial_1dperiodc                 C   sv   t g d}g d}dgd }t g d}t||\}}t|jd t|jd t|| t|dt j |  d S )Nr  )r  r  r  r  r  r?   )r  r  r  r  rC   rD   r  r  rQ   rQ   rR   test_partial_2dperiod8  r  z(TestVectorstrength.test_partial_2dperiodc                 C   sJ   t g d}d}d}t||\}}t|jd t|jd t|| d S )Nr   r  r  r  r  r   rj   r   r*   r	   r%  r
   rM   r  r  r  r  r  rQ   rQ   rR   test_opposite_1dperiodE  s   z)TestVectorstrength.test_opposite_1dperiodc                 C   sV   t g d}dgd }dgd }t||\}}t|jd t|jd t|| d S )Nr  r  rE   r  rC   r  r  rQ   rQ   rR   test_opposite_2dperiodP  s   

z)TestVectorstrength.test_opposite_2dperiodc                 C   s&   t ddgg}d}ttt|| d S )NrC   rD   r  rj   r   r   r   r*   rM   r  r  rQ   rQ   rR   test_2d_events_ValueError[  s   z,TestVectorstrength.test_2d_events_ValueErrorc                 C   s$   d}t dgg}ttt|| d S )Nr  rC   r  r  rQ   rQ   rR   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  rQ   rQ   rR   test_zero_period_ValueErrore     z.TestVectorstrength.test_zero_period_ValueErrorc                 C   r  )Nr  r   r  r  rQ   rQ   rR   test_negative_period_ValueErrorj  r  z2TestVectorstrength.test_negative_period_ValueErrorN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  rQ   rQ   rQ   rR   r    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.)rj   r  r   r   r  r,   r   )rO   rN   r   rQ   rQ   rR   cast_tf2sosp  s   r  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   rj   r   flatr   r   )actualdesiredr   r   r   rQ   rQ   rR   assert_allclose_cast~  s   r  funcc                 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 )NrC   rD   r>   r  c                 s   s    | ]}t |tV  qd S r  )
isinstancer   )r   ra   rQ   rQ   rR   	<genexpr>  s    z)test_nonnumeric_dtypes.<locals>.<genexpr>r  zmust be at least 1-Dr  ra   )r   rj   r   r   r   r"   r  r   r-   allr   r,   rW  r   r   )r  ra   rO   rN   r  r  r   rQ   rQ   rR   test_nonnumeric_dtypes  s"   
"
"r  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||}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@   rA   rC   r   r  r  r  r  )rC   rC   r   rC  r   )rC   rA   )rC   rD   rD   rD   rD   rD   rD   rD   )rj   r  r   r   r  r   r-   r  r  rK  r   )rM   rs  ra   rO   rN   r  r  rb   rQ   rQ   rR   
test_rank1  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   rC   r   r  r  r  r   r  r  r  r  r  )	rj   r  r  rk   r   r   r-   r  r   )	rM   rs  rK  ra   rO   rN   r	  r  rb   rQ   rQ   rR   
test_rank2  s"   $

zTestSOSFilt.test_rank2c           	   
   C   s   d}t dt |d t ||}t ddg|}t ddg|}tt|||}t|j	d D ]}t|j	d D ]}t
|||f t|||||f  q@q7d S )Nr  r   rC   r   r  )rj   r  r  rk   r   r   r-   r  rl   rK  r   r"   )	rM   rs  rK  ra   rO   rN   rb   rm   r&  rQ   rQ   rR   r    s   $$zTestSOSFilt.test_rank3c                 C   s<  t ddd\}}t ddd\}}t ddd\}}tt|||}tt|||}	ttj||f tj||f tj||f f}
tjd|}t	||	|d d t
dd\}}tj|t	||	|dd  |dd	 f }t|t	||	| t|
|d d t
d
d\}}tj|t|
|dd  |dd	 f }t|| t|
}td|}t|
||d\}}t|td t|| d|j |_ttt|
||d | }|jd	 dd|jd f|_ttt|
||d d d d d d g df d t|
||d\}}t|d td t|d d d	d	d d f | d S )NrD   r  lowr  r   r   rA   r  r   r   r   r@  rC   r   )r   rC   rC   r>  )r   r%   rj   r   r   r_r   r  r   r"   rO  r  r-   r/   r  rK  r   r   r  )rM   rs  b1rT  b2rU  b3rV  rO   rN   r  ra   y_truer  r  rb   r  zi_ndrQ   rQ   rR   test_initial_conditions  s8   ."& $


"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@   )rD   r  r>   r   rA   r  r  r8  rC   rD   r  r  r  vIh%<=r   )rj   r   r  r  r   r   r%   r'   rK  r  rO  r-   r  r  r/   r&   r#   r   r"   )rM   rs  ra   r  r  	nsectionsrs  shpz0r  r  r  r  r  r  rb   r  rO   rN   y_tfrQ   rQ   rR    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?   rA   )r?   r>   r>   rD   zshould be all onesr  rC   )r  rs  r  r>   zInvalid zi shape)rj   r  rO  rW  r   r   r-   )rM   rs  ra   r  r  rQ   rQ   rR   test_bad_zi_shape0  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 )NrA   r6  r  r8  r  r  r  r  r>   r   r  )
r   r%   r/   r-   rj   r  r  r  r   r  )rM   rs  r  r  rb   r  ssr   rQ   rQ   rR   test_sosfilt_zi<  s   >zTestSOSFilt.test_sosfilt_ziN)
r   r   r   r  r  r  r  r  r  r  rQ   rQ   rQ   rR   r    s    &.r  c                   @   rY  )TestDeconvolvec                 C   s6   g d}ddg}g d}t ||\}}t|| d S )N)r   rC   r   r   rC   rC   r   r   rD   rC   )	r   rD   rC   r   rD   r>   rC   r   r   )r   
deconvolver   )rM   originalimpulse_responserecorded	recovered	remainderrQ   rQ   rR   rS   N  s
   zTestDeconvolve.test_basicNr_  rQ   rQ   rQ   rR   r   L  r`  r   c                   @   r  )TestDetrendc                 C   s*   t tg d}tg d}t|| d S )NrB   )r   r   r   )r2   r   r   )rM   	detrendeddetrended_exactrQ   rQ   rR   rS   Y  s   zTestDetrend.test_basicc                 C   s2   t g d}t|dd}t|dd}t|| d S )N)rC   333333?r  g?g333333@F)overwrite_dataT)r   r2   r   )rM   ra   
copy_arrayinplacerQ   rQ   rR   	test_copy^  s   zTestDetrend.test_copyN)r   r   r   rS   r  rQ   rQ   rQ   rR   r  W  s    r  c                   @   r  )TestUniqueRootsc                 C   :   g d}t |\}}t||dd t|tt| d S )N)r  r  r  r
  r  r  r[  r3   r
   r	   rj   r  r*  rM   r  rn  ro  rQ   rQ   rR   test_real_no_repeatf     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)r  ffffff{Gz皙r  r  ?r<  rl  tolr  )r  r  r  r  r  r[  rD   rD   rC   rD   r  )r  r  r  r  r  )g333333g
ףp=
r  gffffff?r3   r
   r	   r  rQ   rQ   rR   test_real_repeatl  s   z TestUniqueRoots.test_real_repeatc                 C   r  )N)r  r         ?      ?r  rB  r  r[  r  r  rQ   rQ   rR   test_complex_no_repeat{  r  z&TestUniqueRoots.test_complex_no_repeatc                 C   r  )N)r        𿚙?ffffff333333?333333?r  r  ??r<  rl  r  )r  r"  r  r$  r  r[  r  r  )r!  r#  r  r  r  )y      𿚙?y333333?r  yffffff??r  r  rQ   rQ   rR   test_complex_repeat  s$   
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?rw   r[  )rD   rD   rD   rD   )rj   rootsr   r  r3   sortr
   r	   )rM   r  
true_rootsrn  ro  rQ   rQ   rR   test_gh_4915  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  r[  rD   rC   )rC   g_p   ?&.>      ?r<  )r  r*  r  rm  rQ   rQ   rR   test_complex_roots_extra  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   rD   r  r[  )rj   r   r  r3   r
   rl  r	   r  rQ   rQ   rR   test_single_unique_root  s   z'TestUniqueRoots.test_single_unique_rootN)
r   r   r   r  r  r   r%  r)  r+  r,  rQ   rQ   rQ   rR   r  e  s    
	r  r  )r  r   )r%  concurrent.futuresr   r   r\  r   	itertoolsr   mathr   r+  rW  r   r   numpy.testingr	   r
   r   r   r   r   r   r   r   numpyr   r   rj   	scipy.fftr   scipy.ndimager   scipy.optimizer   r   scipyr   scipy.signalr   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   scipy.signal.windowsr6   scipy.signal._signaltoolsr7   r8   r9   scipy.signal._upfirdnr:   
scipy._libr;   r=   r   r  r@  r[  r  r  r  r  r  r  r  rZ  r  rf  r  r  r  ra  rd  re  rf  rh  rj  rl  rn  rp  rr  rX  r  rM  rN  rO  rP  rQ  rR  rS  r   r   rT  rt  r  r  csinglerW  rX  r  r  r  r  r  r  r	  r  r  r  rR  r_  r`  r  r  r  r  r  r   r  r  rQ   rQ   rQ   rR   <module>   s   ,|htjB  a 	P  O   v-_'`
, eW  p 

 .