
    9iE                        S SK r S SKrS SKJrJrJr  S SKrS SKJr  S SK	J
r
  \R                  R                  r\R                  R                  r " S S5      r\R                  \R                   \\R$                  \R                   \R                   \\\R(                  \R(                  \\0r\" SS9 " S	 S
5      5       rS rS rg)    N)assert_almost_equalxp_assert_closexp_assert_equal)raises)signalc                       \ rS rSrSr\" SS/S9S 5       r\" SS/S9S 5       rS r\" SS	S
9S 5       r	\" SS9S 5       r
\" SS9S 5       r\" SS9S 5       r\" SS9S 5       rSrg)TestBSplines   a  Test behaviors of B-splines. Some of the values tested against were
returned as of SciPy 1.1.0 and are included for regression testing
purposes. Others (at integer points) are compared to theoretical
expressions (cf. Unser, Aldroubi, Eden, IEEE TSP 1993, Table 1).Tcupy)cpu_only
exceptionsc                    [         R                  R                  S5      n[        [        [
        R                  UR                  S/5      S5        UR                  SS5      nSSSU-  -
  -  nUR                  U5      nUR                  / SQ/ SQ/ S	Q/ S
Q/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/UR                  S9n[        [
        R                  " US5      U5        g )N0  r      
         )g7ݿgD @g5P?gB߸"@gyӼ®@gE5`@g&)#@gEf!g<@gSbυ.X gFgg$`#@)gI<M$k@gYvR@gd)B	g,#@gd?H#gk"`	@g)k	gi	V@gH-Q#@gn)Ҕ g3%0?g@	)gAZg9s@g /{Dg٩@gEC@g'UE@gآ?@gւ gzk@ga"@g򿽴~gKG#@)g$9gL|wglT@g?ss}aJ?g7iH^	gt,`?gh@glA1mg(T#g* #gDV#@g@)g'"@ga+ٓgE=a@g:"gIV@g5@gYd\gі1pg"2 g:i@gi^J @g`HQ!)g^!g#Mƽ!@g论H&@gfQq@g%gm̂r!@g
,@gY bgY#@g/-i@g Vqg")gH"@ggʜ6@ggeg&P@gY2#Cg
0@g|0g *!/@g(gqq?g)a)gF!Ígzǫg^geF?g
O0!gV<gtСg%9W@g^[H#@g3Fz?g.5 gsd?)g놎g,
@gA/u@g`9ogebgȀ@gMgZa@g<ˉ8g:ɘ%@gdH	g4g:Ns@)gg-ҿgE- g)in"@gd.xg2~wgďgYr4Q?gkM-:g,@g+ @gVu)g@+_$?gKGj?g[ C$}@g_gD/X@gHgJSʌ@g@ggN+gë	gk8gjZ@)gݵB`#@g+N?g	gg'g=!"F@gƱҟ"g'-:@g#g'gj \B@g~ge@g$q߼dtype)nprandomRandomStater   	TypeErrorr   spline_filterasarrayrandfloat64r   )selfxprngdata_array_realresult_array_reals        `/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/scipy/signal/tests/test_bsplines.pytest_spline_filterTestBSplines.test_spline_filter   s    ii##E*y&..

A3C((2r*a/ 112**_5JJ@@?@@@@?@@A@C#AF IK

I ' $TJ 	,,_a@)	+    c           
      h   [         R                  R                  S5      nUR                  SS5      UR                  SS5      S-  -   nSSSU-  -
  -  nUR	                  U5      nUR	                  / SQ/ SQ/ S	Q/ S
Q/ SQ/ SQ/ SQ/UR
                  S9n[        [        R                  " US5      USS9  g )Nr      y              ?r   y      ?      ?r   )y$
ݿ%)y @;;R@yH?k៌"y?!@3⟥@yʱƯ@bȺ@ymտ5a@,y`#@A4p)yF! y韷@@_@yw.X /@ @y4 L &Q!yjٿ_#@!yߟk@a
 ƽ!@ySh?@ӿ&@)y?@	X@@yH:#@~%yXH#r!@y} "`	@)ƿ@y@k	ubyoU@I"$#@yA Q#@,i@)yb@r ߂KqyӔ?Ȥ"yr	"@y%`Zv.y$?s@*  7@yxebeyC@P@)y?M@k9FyθUE@4%@@y[y@#?0yN 5H /@ywk@y"a"@$?y~H)y}?\#@A?y	dy{_( y^p@;^F?yu?aJ?U 0!y\@^	Kyx_?+ߡ)yl.@@9UY@yNЪmxp[H#@yDT#bz?yh #F5 y#@^d?y<@V?y{?"@&@@r   r   gư>)rtol)	r   r   r   r   r   
complex128r   r   r   )r   r   r    data_array_complexresult_array_complexs        r#   test_spline_filter_complex'TestBSplines.test_spline_filter_complexI   s    ii##E* XXa^chhq!nR.??a(:&:!:;ZZ(:;!zz&&&%+&%1&6 .0]]9  *  <@ 	,,-?C,4	9r&   c                     [         R                  " [        R                  " SS5      S5      (       d   e[	        [        R                  " UR                  S/5      S5      UR                  S/5      SS9  g )Nr   g<~?      ?r   g?g&.>atol)mathiscloser   gauss_spliner   r   )r   r   s     r#   test_gauss_splineTestBSplines.test_gauss_splinet   sY    ||F//157HIIII++BJJt,<a@

J<0t	
r&   z$deliberate: array-likes are acceptednp_onlyreasonc                 z    / SQn[        [        R                  " US5      [        R                  " / SQ5      5        g )N)              r<      )硫Y.?gye~?r?   )r   r   r5   r   r   )r   r   knotss      r#   test_gauss_spline_list#TestBSplines.test_gauss_spline_list{   s-     "F//q9JJ'JK	
r&   )r   c                    [        [        R                  " UR                  S/5      5      UR                  S/UR                  S95        UR                  / SQUR                  S9n[        [        R                  " UR                  / SQ5      S5      U5        UR                  / SQUR                  S9n[        [        R                  " UR                  / SQ5      5      U5        g )Nr   r=   r   )g{߮]?gzU%?gz@g6fw@gven'@r0   r   r>         r   )g|-?g>!<m @g6L@glMO@g>}@)r   r   	cspline1dr   r   r   )r   r   c1dc1d0s       r#   test_cspline1dTestBSplines.test_cspline1d   s    ((QC9

B4rzz
:	<jj &-/ZZ  9 	((4D)EqI3Ozz '.0jj  :((4D)EFMr&   c           	         [        [        R                  " UR                  S/5      5      UR                  S/UR                  S95        [        [        [        R                  UR                  / SQ5      S5        [        [        [        R                  UR                  / SQ5      S5        UR                  / SQUR                  S9n[        [        R                  " UR                  / SQUR                  S95      U5        g )Nr   r=   r   rD   r0   r<   )g)`O?gAk2 @g@go@g5ڕ@)r   r   	qspline1dr   r   r   
ValueErrorr   )r   r   q1d0s      r#   test_qspline1dTestBSplines.test_qspline1d   s    ((QC9

B4rzz
:	< 	z6++RZZ8H-I2Nz6++RZZ8H-I3Ozz '.0jj  :RZZ(8

ZKLd	
r&   c           	         [         R                  " UR                  SS/UR                  S9UR                  S/UR                  S95      n[	        X!R                  S/UR                  S95        [         R                  " UR                  / SQUR                  S9UR                  / UR                  S95      n[        X!R                  / UR                  S95        / SQnUS   US   -
  n/ SQnUR                  / SQ5      n[         R                  " U5      nUR                  / S	QUR                  S9n[	        [         R                  " XqR                  U5      XCS   S
9U5        [        R                  " [        SS9   [         R                  " UR                  / UR                  S9UR                  S/UR                  S95        S S S 5        g ! , (       d  f       g = f)Nr=   r   r   r0   r   r   
r   r   r   r>   rE   rF      r   &g      g      g      g      g      g      g      g      g       g      r<   g      r=         ?r0   g      ?       @      @      @g      @      @g      @g      @      @      @g      @g      @g      @       @g      !@g      "@g      #@g      $@g      %@g      &@g      '@g      (@g      )@
gw/@~jt@&1@Zd;@K7	@Zd@"~@jt@tV?K7A`@)&re   SW@rd   7.O@rc   00/@g)-3/@rn   rc   rm   rd   rl   re   ^:@rf   4Ev@rg   c4~#.@rh   uyJ9@ri   /~	@rj   Y@@rk   rt   rj   rs   ri   rr   rh   rq   rg   rp   rf   ro   re   rl   dxx0+Spline coefficients 'cj' must not be empty.match)
r   cspline1d_evalr   r   r   r   rG   pytestr   rN   )	r   r   rxrv   newxycjnewys	            r#   test_cspline1d_eval TestBSplines.test_cspline1d_eval   s   !!"**b!WBJJ*"G!zz2$bjjzAC::rd"**:=>!!"**Zrzz*"J!zz"BJJz?A::b

:;<-qTAaD[ JJ & 'a zz : BD  M 	!!"jj&62A$G	
 ]]:"OQ!!"**Rrzz*"B"$**cU"***"EGQ Q Qs   =A	G
Gc           	      b   [        [        R                  " UR                  SS/5      UR                  S/5      5      UR                  S/5      5        [	        [        R                  " UR                  / SQ5      UR                  / 5      5      UR                  / 5      5        / SQnUS   US   -
  n/ SQnUR                  / SQ5      n[        R
                  " U5      nUR                  / SQUR                  S	9n[        R                  " XaR                  XAR                  S	9X2S   S
9n[        X5        [        R                  " [        SS9   [        R                  " UR                  / UR                  S	9UR                  S/UR                  S	95        S S S 5        g ! , (       d  f       g = f)Nr=   r   rS   rT   r   rY   rb   )&re   TW
@rd   oR@rc   bP@geW/@r   rc   r   rd   r   re    B@rf   HG(@rg   nfWΜ=@rh   %d	O@ri   u#	@rj   )C@rk   r   rj   r   ri   r   rh   r   rg   r   rf   r   re   r   r   ru   rx   ry   )
r   r   qspline1d_evalr   r   rM   r   r|   r   rN   )	r   r   r~   rv   r   r   r   r   r}   s	            r#   test_qspline1d_eval TestBSplines.test_qspline1d_eval   sn   --bjj"a.A2::rdCST

B4(	
 	--bjj.DbjjQSnU

2	
 .qTAaD[ JJ & 'a zz : BD  M !!

4zz
2rd
 	 ]]:!NP!!"**Rrzz*"B"$**cU"***"EGP P Ps   A	F  
F. N)__name__
__module____qualname____firstlineno____doc__skip_xp_backendsr$   r-   r6   rA   rJ   rP   r   r   __static_attributes__r   r&   r#   r	   r	      s    H
 t9/+ :/+b t9(9 :(9T
 d+QR
 S
 t$	N %	N t$

 %

 t$G %GB t$G %Gr&   r	   T)r9   c                   v   \ rS rSrS rS r\R                  R                  S\	R                  \\	R                  \\	R                  \/5      S 5       r\" SSS9\R                  R                  S\	R                  \\	R                  \\	R                  \/5      S	 5       5       r\" SSS9\R                  R'                  S
S9S 5       5       r\" SSS9\R                  R'                  SS9\R                  R                  S\	R                  \\	R                  \\	R                  \/5      S 5       5       5       rSrg)TestSepfir2d   c           	      \   UR                  / SQ5      n[        R                  R                  SS5      nUR                  U5      n[        R
                  " X2USS  5        [        R                  " [        SS9   [        R
                  " X2USS  5        S S S 5        [        R                  " [        SS9   [        R
                  " X2SS  U5        S S S 5        [        R                  " [        SS9   [        R
                  " X1R                  US	5      U5        S S S 5        [        R                  " [        SS9   [        R
                  " X2UR                  US	5      5        S S S 5        g ! , (       d  f       N= f! , (       d  f       N= f! , (       d  f       Nz= f! , (       d  f       g = f)
Nr0   r[   r^   r[   r0   r(   	   r   z
odd lengthry   r   object too deep)r   rW   )
r   r   r   r   r   sepfir2dr|   r   rN   reshaper   r   filtimages       r#   test_sepfir2d_invalid_filter)TestSepfir2d.test_sepfir2d_invalid_filter   s   zz34		q!$

5!T!"X. ]]:\:OOEab2 ;]]:\:OOE8T2 ; ]]:->?OOE::dG#<dC @]]:->?OOED')BC @? ;::: @???s0   8E*4E;0(F9(F*
E8;
F	
F
F+c                    UR                  / SQ5      n[        R                  R                  SS5      nUR                  U5      n[        R
                  " [        SS9   [        R                  " UR                  US5      X"5        S S S 5        [        R
                  " [        SS9   [        R                  " USS S 24   X"5        S S S 5        g ! , (       d  f       NO= f! , (       d  f       g = f)Nr      r   ry   )rE   rE   rE   zobject of too small depthr   )
r   r   r   r   r|   r   rN   r   r   r   r   s       r#   test_sepfir2d_invalid_image(TestSepfir2d.test_sepfir2d_invalid_image   s    zz34		q!$

5! ]]:->?OOBJJui8$E @ ]]:-HIOOE!Q$K4 JI @? JIs   (C'C 
C 
C.dtypc                 n   [         R                  " / SQ/ SQ/ SQ/ SQ/US9n/ SQnS/n[        R                  " X4U5      n[        U   n[         R
                  " / SQ/ SQ/ SQ/ SQ/US9n[        XhSS9  [        R                  " X5U5      n[         R
                  " / SQ/ SQ/ SQ/ SQ/US9n[        XhSS9  g )	N)r   r   r>   r>   r   r   r   rZ   r   rZ   r   )r\   r^   r_   r_   r^   r\   gؗҜ<r1   )r[   r^   r`   r`   r^   r[   )r   arrayr   r   sepfir_dtype_mapr   r   )	r   r   r   ah1h2resultdtexpecteds	            r#   test_simpleTestSepfir2d.test_simple  s    
 HH((((* 267 S+d#::====? GIJ 	u5+::77779 ACD 	u5r&   TzTODO: convert this testr8   c                 @   [         R                  " / SQ/ SQ/ SQ/ SQ/5      n/ SQS/pT[        R                  " US S 2S S S24   XE5      n[        R                  " US S 2S S S24   R	                  5       XE5      n[        XgSS9  UR                  UR                  :X  d   eg )N)	r   r   r>   r>   r   r   r   r   r>   r   r   r   V瞯<r1   )r   r   r   r   copyr   r   )r   r   r   r   r   r   result_stridedresult_contigs           r#   test_stridedTestSepfir2d.test_strided"  s    
 HH10002 3 B1cc6B;!SqS&	(8"AEB##}':'::::r&   z#XXX: filt.size > image.shape: flaky)r:   c           
         [         R                  " / SQ5      n[         R                  R                  SS5      n[         R                  " / SQ/ SQ/ SQ/ SQ/5      n[        [        R                  " X2US S S2   5      U5        g )N)r0   r[   r^   r[   r0   r]   r[   rE   )g!SB@g¿3=>@gs`[C@gsLhE@)gͨ*C@g5A@g;/K;E@g<f2E@)gE@g>#jD@gB`G@g]n0a#F@)gٕzH@g|FC@gǜgKE@gCF@r>   )r   r   r   r   r   r   r   r   )r   r   r   r   r   s        r#   test_sepfir2d_strided_2$TestSepfir2d.test_sepfir2d_strided_21  sg    
 xx;<		q!$::K L L LN O 	T#A#Y?Jr&   z*XXX: flaky. pointers OOB on some platformsc                 "   [         R                  " / SQUS9n[         R                  " / SQ/ SQ/ SQ/ SQ/ SQ/US9n/ SQ/ S	Q/ S
Q/ SQ/ SQ/n[         R                  " U5      n[        R                  " XCUS S S2   5      n[        XeSS9  UR                  [        U   :X  d   e/ SQ/ SQ/ SQ/ SQ/ SQ/n[         R                  " U5      n[        R                  " XCS S S2   US S S2   5      n[        XeSS9  UR                  [        U   :X  d   eg )N)r   r   rE   r   r   r>   r   r   )r   r>   r   r   r   )r   r   r>   r>   r>   )r   r   r>   r   r>   )r   r>   r   r   r>   )r>   r>   r   r   r   )g     ^@g     @Y@g     V@      a@g     _@)     `@g     @_@g     _@      c@g      d@)r   g      a@g     b@g     @d@g      f@)r   g      _@g     `@g     b@g     `b@)g     e@g     c@r   g     d@g     a@r>   r   r1   )g      6@g     A@     D@g      ?@     G@)g      ;@     C@      H@r   g     K@)g     @@g      E@g     H@g     J@g     M@)r   g      F@r   g      B@r   )g     P@g      O@r   g      A@g      G@)r   r   r   r   r   r   r   r   )r   r   r   r   r   r   r   s          r#   test_sepfir2d_strided_3$TestSepfir2d.test_sepfir2d_strided_3?  s    xx-T:

O++++	- 59	: 32222	4
 ::h'd3Q3i8u5||/5555-----	/
 ::h'SqS	4!9=u5||/5555r&   r   N)r   r   r   r   r   r   r|   markparametrizer   uint8intfloat32float	complex64complexr   r   r   xfailr   r   r   r   r&   r#   r   r      sI   D&
5 [[V	3

E2<<A66. d+DE[[V	3

E2<<A	; F	; d+DE[[CD
K E F
K d+DE[[JK[[V	3

E2<<A6 L F
6r&   r   c                     [         R                  R                  S5      nUR                  SS5      n[        R
                  " US5        g )NiW
G   I   ra   )r   r   r   r   r   	cspline2dr   r    r   s      r#   test_cspline2dr   d  s6    
))

	
*CHHRE
UC r&   c                     [         R                  R                  S5      nUR                  SS5      n[        R
                  " U5        g )NiW
r   r   )r   r   r   r   r   	qspline2dr   s      r#   test_qspline2dr   j  s4    
))

	
*CHHRE
Ur&   )r3   numpyr   scipy._lib._array_apir   r   r   r|   r   scipyr   r   r   xfail_xp_backendsr	   r   r   r   r   r   r   r   r   r   r   r   r   r&   r#   <module>r      s         ;;// KK11 MG MGb HHbjj#rzzJJ

E5LL",,B 
 $y6 y6  y6x!r&   