§
    µ³Ùg|›  ã                   óŠ  — d dl Z d dlZd dlZd dlZd dlmZ d dlmZm	Z	 d dl
Z
d dl
mZmZ d dlmZmZmZmZmZmZmZmZ d dlmZ d dlmZ  G d„ d	¦  «        Zd
„ Z G d„ de¦  «        Z eddgd d g¬¦  «        Z eddgd d g¬¦  «        Z eddgd d g¬¦  «        Z  G d„ de¦  «        Z! e!dgdgd ej"        dgdgdgdgdgdgdgdgdgdgg
¦  «         ej"        g d¢¦  «        ¬ ¦  «        Z# e!d!gdgdg ej"        dgg¦  «         ej"        dg¦  «        ¬ ¦  «        Z$ G d"„ d#e¦  «        Z% e%d$d%gd&d'gd(¬)¦  «        Z& G d*„ d+e¦  «        Z' e'd,gd-z  g d.¢d/¬)¦  «        Z( G d0„ d1e¦  «        Z) e)d2d2gd3gd4d5g¬6¦  «        Z* G d7„ d8e¦  «        Z+d9Z, e- e.d:gd9z  d;gd9z  ¦  «        ¦  «        Z/ e+e/d<gd¬6¦  «        Z0 G d=„ d>e¦  «        Z1 e1d?gd@z  dA ej2        d@¦  «        dBz
  ¬6¦  «        Z3 G dC„ dDe¦  «        Z4 e4d,d,gdEgdFdFg¬6¦  «        Z5 G dG„ dHe¦  «        Z6 e6d$dIgdd¬6¦  «        Z7e
j8         9                    dJ¦  «        	 	 	 d`dP„¦   «         Z: G dQ„ dR¦  «        Z; G dS„ dT¦  «        Z< G dU„ dV¦  «        Z= G dW„ dX¦  «        Z> G dY„ dZ¦  «        Z?d[„ Z@e
j8         A                    d\¦  «        d]„ ¦   «         ZBd^„ ZCd_„ ZDdS )aé    N)ÚPool)Úassert_allcloseÚIS_PYPY)ÚraisesÚwarns)ÚshgoÚBoundsÚminimize_scalarÚminimizeÚrosenÚ	rosen_derÚ
rosen_hessÚNonlinearConstraint)Únew_constraint_to_old)ÚSHGOc                   ó   — e Zd Z	 	 dd„ZdS )ÚStructTestFunctionNc                 óL   — || _         || _        || _        || _        || _        d S ©N©ÚboundsÚ
expected_xÚexpected_funÚexpected_xlÚexpected_funl)Úselfr   r   r   r   r   s         úU/granary/edev/quantum/lib/python3.11/site-packages/scipy/optimize/tests/test__shgo.pyÚ__init__zStructTestFunction.__init__   s.   € àˆŒØ$ˆŒØ(ˆÔØ&ˆÔØ*ˆÔÐÐó    )NNN)Ú__name__Ú
__module__Ú__qualname__r   © r   r   r   r      s.   € € € € € Ø8<Ø15ð+ð +ð +ð +ð +ð +r   r   c                 ó®   — g }| �Nt          | t          t          f¦  «        s| f} n	 | D ]} |                     d| dœ¦  «         Œt          |¦  «        }nd }|S )NÚineq©ÚtypeÚfun)Ú
isinstanceÚtupleÚlistÚappend)ÚgÚconss     r   Úwrap_constraintsr/      s~   € Ø€DØ€}Ý˜!�e¥T˜]Ñ+Ô+ð 	Ø�ˆAˆAàØð 	$ð 	$ˆAØ�KŠK Ø !ð#ð #ñ $ô $ð $ð $å�T‰{Œ{ˆˆàˆØ€Kr   c                   ó0   — e Zd Zd„ Zd„ Z ee¦  «        ZdS )ÚStructTest1c                 ó0   — |d         dz  |d         dz  z   S ©Nr   é   é   r#   ©r   Úxs     r   ÚfzStructTest1.f+   ó   € Ø�Œt�q‰y˜1˜Qœ4 1™9Ñ$Ð$r   c                 ó6   — t          j        | d¬¦  «        dz
   S )Nr   ©Úaxisg      @©ÚnpÚsum©r7   s    r   r-   zStructTest1.g.   s   € Ý”˜ Ð"Ñ"Ô" SÑ(Ð)Ð)r   N©r    r!   r"   r8   r-   r/   r.   r#   r   r   r1   r1   *   s>   € € € € € ð%ð %ð %ð*ð *ð *ð Ð˜AÑÔ€D€D€Dr   r1   )éÿÿÿÿé   )r   r   ©r   r5   ©NNc                   ó4   — e Zd ZdZd„ Zd„ Z ee¦  «        ZdS )ÚStructTest2zN
    Scalar function with several minima to test all minimiser retrievals
    c                 ó6   — |dz
  t          j        |¦  «        z  S )Né   )r>   Úsinr6   s     r   r8   zStructTest2.fA   s   € Ø�B‘�"œ& ™)œ)Ñ#Ð#r   c                 ó4   — dt          j        | d¬¦  «        z
  S )Né:   r   r;   r=   r@   s    r   r-   zStructTest2.gD   s   € Ø•B”F˜1 1Ð%Ñ%Ô%Ñ%Ð%r   N©r    r!   r"   Ú__doc__r8   r-   r/   r.   r#   r   r   rG   rG   <   sH   € € € € € ðð ð$ð $ð $ð&ð &ð &ð Ð˜AÑÔ€D€D€Dr   rG   )r   é<   gâ¡½4$’ø?çÕ0ðš_r<Àg±ç ûG‚K@gô½
]<@gøI{¤½_H@gÌi<&,@g–±»å>E@gºqÅ¤CQ4@g‹8øž$B@gÜo.n:@g^5	½‚Ã>@)
rP   g³Ê¾sÿ8Àg^ÑÖV&+6Àg+Ô?-«¸2Àg+ä!¾ÙÉ/ÀgÛN|1ç(Àgc’ä=C#Àg¾^Ì\ÕÀg´ÄN¡ˆÀgêíè‡ªÝ¿r   )r   g      @c                   óT   — e Zd ZdZd„ Zd„ Zd„ Zd„ Z eede	j
        ¦  «        ZefZdS )ÚStructTest3a�  
    Hock and Schittkowski 18 problem (HS18). Hoch and Schittkowski (1981)
    http://www.ai7.uni-bayreuth.de/test_problem_coll.pdf
    Minimize: f = 0.01 * (x_1)**2 + (x_2)**2

    Subject to: x_1 * x_2 - 25.0 >= 0,
                (x_1)**2 + (x_2)**2 - 25.0 >= 0,
                2 <= x_1 <= 50,
                0 <= x_2 <= 50.

    Approx. Answer:
        f([(250)**0.5 , (2.5)**0.5]) = 5.0


    c                 ó6   — d|d         dz  z  |d         dz  z   S )Ng{®Gáz„?r   r4   r5   r#   r6   s     r   r8   zStructTest3.f{   s"   € Ø�q˜”t ‘kÑ! Q q¤T¨a¡KÑ/Ð/r   c                 ó*   — | d         | d         z  dz
  S )Nr   r5   ç      9@r#   r@   s    r   Úg1zStructTest3.g1~   s   € Ø�Œt�a˜”d‰{˜TÑ!Ð!r   c                 ó6   — | d         dz  | d         dz  z   dz
  S )Nr   r4   r5   rU   r#   r@   s    r   Úg2zStructTest3.g2�   s"   € Ø�Œt�q‰y˜1˜Qœ4 1™9Ñ$ tÑ+Ð+r   c                 ó^   — | d         | d         z  dz
  | d         dz  | d         dz  z   dz
  fS )Nr   r5   rU   r4   r#   r@   s    r   r-   zStructTest3.g‡   s8   € Ø�Œt�a˜”d‰{˜TÑ! 1 Q¤4¨1¡9¨q°¬t°q©yÑ#8¸4Ñ#?Ð?Ð?r   r   N)r    r!   r"   rN   r8   rV   rX   r-   r   r>   ÚinfÚ_StructTest3__nlcr.   r#   r   r   rR   rR   i   sv   € € € € € ðð ð"0ð 0ð 0ð"ð "ð "ð,ð ,ð ,ð@ð @ð @ð  Ð  1 b¤fÑ-Ô-€EØˆ8€D€D€Dr   rR   )r4   é2   )r   r\   g'ò�InŸ/@gS[Ú:XLù?ç      @)r   r   r   c                   óR   — e Zd ZdZd„ Zd„ Zd„ Zd„ Zd„ ZeeeefZ	 e
e	¦  «        ZdS )ÚStructTest4zÑ
    Hock and Schittkowski 11 problem (HS11). Hoch and Schittkowski (1981)

    NOTE: Did not find in original reference to HS collection, refer to
          Henderson (2015) problem 7 instead. 02.03.2016
    c                 ó,  — |d         dz
  dz  d|d         dz
  dz  z  z   |d         dz  z   d|d         d	z
  dz  z  z   d|d         d
z  z  z   d|d         dz  z  z   |d
         dz  z   d|d         z  |d
         z  z
  d|d         z  z
  d|d
         z  z
  S )Nr   é
   r4   é   r5   é   é   é   é   rC   é   é   r#   r6   s     r   r8   zStructTest4.fœ   sÖ   € Ø�1”˜‘˜qÑ  1¨¨!¬¨r©	°aÑ'7Ñ#7Ñ7¸!¸A¼$À!¹)ÑCØ�q˜”t˜b‘y QÑ&Ñ&ñ'Ø)+¨a°¬d°a©i©ñ8Ø:;¸aÀ¼dÀa¹i¹-ñHØJKØôKØñKñð �a˜”d‘(˜Q˜qœT‘/ñ"ð %'¨¨1¬¡Iñ.ð 12°A°a´D±ñ9ð 	r   c                 óŒ   — d| d         dz  z  d| d         dz  z  z   | d         z   d| d         dz  z  z   d| d         z  z   dz
   S )Nr4   r   re   r5   rd   rb   é   r#   r@   s    r   rV   zStructTest4.g1£   s^   € Ø�Q�q”T˜Q‘Y‘  Q q¤T¨Q¡Y¡Ñ.°°1´Ñ5¸¸A¸a¼DÀA¹I¹ÑEØ�q˜”t‘8ñØ!ñ"ð #ð 	#r   c                 óz   — d| d         z  d| d         z  z   d| d         dz  z  z   | d         z   | d         z
  dz
   S )	Nrg   r   re   r5   ra   r4   rd   g      q@r#   r@   s    r   rX   zStructTest4.g2§   sH   € Ø�Q�q”T‘˜A  !¤™HÑ$ r¨A¨a¬D°A©I¡~Ñ5¸¸!¼Ñ<¸qÀ¼tÑCÀeÑKÐLÐLr   c                 ón   — d| d         z  | d         dz  z   d| d         dz  z  z   d| d         z  z
  dz
   S )	Né   r   r5   r4   rC   rb   rh   éÄ   r#   r@   s    r   Úg3zStructTest4.g3ª   sC   € Ø�a˜”d‘˜Q˜qœT Q™YÑ&¨¨Q¨q¬T°Q©Y©Ñ6¸¸Q¸q¼T¹ÑAÀCÑGÐHÐHr   c                 ó°   — d| d         dz  z  | d         dz  z   d| d         z  | d         z  z
  d| d         dz  z  z   d| d         z  z   d| d         z  z
   S )	Nrd   r   r4   r5   re   rb   rf   rC   r#   r@   s    r   Úg4zStructTest4.g4­   sn   € Ø�Q�q”T˜Q‘Y‘  1¤¨¡Ñ*¨Q°°1´©X¸¸!¼©_Ñ<¸qÀ1ÀQÄ4È1Á9¹}ÑLØ�q˜”t‘8ñØ  1 Q¤4™iñ(ð )ð 	)r   N©r    r!   r"   rN   r8   rV   rX   ro   rq   r-   r/   r.   r#   r   r   r_   r_   ”   s‰   € € € € € ðð ðð ð ð#ð #ð #ðMð Mð MðIð Ið Ið)ð )ð )ð 
ˆR��RÐ€AàÐ˜AÑÔ€D€D€Dr   r_   )iöÿÿÿra   rg   )g¹ââ¨Ü¤@g$H¥ØÑ8ÿ?g„ßÍ	�Þ¿g0eà€v@gnÞ8)Ìûã¿g k_@/œð?g0g¶+ô�ù?gÙP{[
E…@c                   ó.   — e Zd Zd„ ZdZ ee¦  «        ZdS )ÚStructTest5c                 óJ  — |d         dz    t          j        t          j        t          |d         dz  |d         dz   z   ¦  «        ¦  «        ¦  «        z  |d         t          j        t          j        t          |d         |d         dz   z
  ¦  «        ¦  «        ¦  «        z  z
  S ©Nr5   g     €G@r   ç       @©r>   rJ   ÚsqrtÚabsr6   s     r   r8   zStructTest5.f¾   sˆ   € à�Œd�T‰kˆN�2œ6¥"¤'­#¨a°¬d°3©h¸!¸A¼$À¹+Ñ.FÑ*GÔ*GÑ"HÔ"HÑIÔIÑIØ�Œd•2”6�"œ'¥# a¨¤d¨a°¬d°T©kÑ&:Ñ";Ô";Ñ<Ô<Ñ=Ô=Ñ=ñ>ð	
r   NrA   r#   r   r   rt   rt   ½   s4   € € € € € ð
ð 
ð 
ð 	€AØÐ˜AÑÔ€D€D€Dr   rt   )i þÿÿi   gŽÎÆ ý�Àg      €@gøž™yµCy@)r   r   r   c                   ó2   — e Zd ZdZd„ ZdZ ee¦  «        ZdS )ÚStructTestLJzZ
    LennardJones objective function. Used to test symmetry constraints
    settings.
    c                 ó¸  — t          d|› �¦  «         |d         | _        t          | j        dz  ¦  «        }d}t          |dz
  ¦  «        D ]Ž}t          |dz   |¦  «        D ]x}d|z  }d|z  }||         ||         z
  }	||dz            ||dz            z
  }
||dz            ||dz            z
  }|	|	z  |
|
z  z   ||z  z   }||z  |z  }|dk    r|d|z  dz
  |z  z  }ŒyŒ�|S )	Nzx = r   re   ç        r5   r4   ç      ð?rw   )ÚprintÚNÚintÚrange)r   r7   ÚargsÚkÚsÚiÚjÚaÚbÚxdÚydÚzdÚedÚuds                 r   r8   zStructTestLJ.fÓ   s  € Ýˆj�QˆjˆjÑÔÐØ�a”ˆŒÝ�”˜‘
‰OŒOˆØˆå�q˜1‘u‘”ð 
	/ð 
	/ˆAÝ˜1˜q™5 !‘_”_ð 	/ð 	/�Ø˜‘E�Ø˜‘E�Ø�q”T˜A˜aœD‘[�Ø�q˜1‘u”X  ! a¡%¤Ñ(�Ø�q˜1‘u”X  ! a¡%¤Ñ(�Ø˜"‘W˜r B™wÑ&¨¨b©Ñ0�Ø˜"‘W˜r‘\�Ø˜’8�8Ø˜# ™( S™.¨BÑ.Ñ.�Aøð	/ð ˆr   NrM   r#   r   r   r|   r|   Í   s>   € € € € € ðð ð
ð ð ð( 	€AØÐ˜AÑÔ€D€D€Dr   r|   rC   g      Àç      @ç      ð¿c                   ó.   — e Zd Zd„ ZdZ ee¦  «        ZdS )ÚStructTestSc                 óx   — |d         dz
  dz  |d         dz
  dz  z   |d         dz
  dz  z   |d         dz
  dz  z   S )Nr   ç      à?r4   r5   re   r#   r6   s     r   r8   zStructTestS.fû   sS   € Ø�1”˜‘ Ñ! Q q¤T¨C¡Z°AÑ$5Ñ5Ø�Q”4˜#‘: !Ñ#ñ$Ø'(¨¤t¨c¡z°aÑ&7ñ8ð 	9r   NrA   r#   r   r   r“   r“   ú   s4   € € € € € ð9ð 9ð 9ð 	€AØÐ˜AÑÔ€D€D€Dr   r“   )r   rw   rd   r~   r•   c                   ó.   — e Zd Zd„ ZdZ ee¦  «        ZdS )ÚStructTestTablec                 ó:   — |d         dk    r|d         dk    rdS dS )Nr   ç      @r5   r\   éd   r#   r6   s     r   r8   zStructTestTable.f
  s%   € ØˆQŒ4�3Š;ˆ;˜1˜Qœ4 3š;˜;Ø�2à�3r   NrA   r#   r   r   r—   r—   	  s4   € € € € € ðð ð ð 	€AØÐ˜AÑÔ€D€D€Dr   r—   r\   r™   c                   óR   — e Zd ZdZd„ Zd„ Zd„ Zd„ Zd„ ZeeeefZ	 e
e	¦  «        ZdS )ÚStructTestInfeasiblez0
    Test function with no feasible domain.
    c                 ó0   — |d         dz  |d         dz  z   S r3   r#   )r   r7   r„   s      r   r8   zStructTestInfeasible.f  r9   r   c                 ó*   — | d         | d         z   dz
  S ©Nr   r5   r#   r@   s    r   rV   zStructTestInfeasible.g1!  s   € Ø�Œt�a˜”d‰{˜Q‰Ðr   c                 ó,   — | d         | d         z   dz
   S rŸ   r#   r@   s    r   rX   zStructTestInfeasible.g2$  s   € Ø�1”˜˜!œ‘˜q‘Ð!Ð!r   c                 ó,   — | d          | d         z   dz
  S rŸ   r#   r@   s    r   ro   zStructTestInfeasible.g3'  s   € Ø�!”ˆu�q˜”t‰|˜aÑÐr   c                 ó.   — | d          | d         z   dz
   S rŸ   r#   r@   s    r   rq   zStructTestInfeasible.g4*  s   € Ø�A”$�˜˜1œ‘ Ñ!Ð"Ð"r   Nrr   r#   r   r   rœ   rœ     sƒ   € € € € € ðð ð%ð %ð %ðð ð ð"ð "ð "ð ð  ð  ð#ð #ð #ð 
ˆR��RÐ€AØÐ˜AÑÔ€D€D€Dr   rœ   )rB   r5   ú
Not a testr#   çñhãˆµøä>rš   Úsobolr5   c
                 óD  — t          | j        | j        || j        |||||||	¬¦  «        }
t	          d|
› �¦  «         t          j        d|
› �¦  «         | j        �-t          j	         
                    |
j        | j        ||¬¦  «         | j        �,t          j	         
                    |
j        | j        |¬¦  «         | j        �,t          j	         
                    |
j        | j        |¬¦  «         | j        �,t          j	         
                    |
j        | j        |¬¦  «         d S )N)	r„   ÚconstraintsÚnÚitersÚcallbackÚminimizer_kwargsÚoptionsÚsampling_methodÚworkerszres = ©ÚrtolÚatol©r±   )r   r8   r   r.   r€   ÚloggingÚinfor   r>   Útestingr   r7   r   r(   r   Úxlr   Úfunl)Útestr„   Ú	test_atolr¨   r©   rª   r«   r¬   r­   r®   Úress              r   Úrun_testr»   7  sG  € õ ˆtŒv�t”{¨¸4¼9Ø˜%¨(Ø 0¸'Ø.¸ðAñ Aô A€Cõ
 
ˆ.�3ˆ.ˆ.ÑÔÐÝ„L�˜#��Ñ Ô Ð Ø„Ð"Ý
Œ
×"Ò" 3¤5¨$¬/Ø(1Ø(1ð 	#ñ 	3ô 	3ð 	3ð
 ÔÐ$Ý
Œ
×"Ò" 3¤7Ø#'Ô#4Ø(1ð 	#ñ 	3ô 	3ð 	3ð ÔÐ#Ý
Œ
×"Ò" 3¤6Ø#'Ô#3Ø(1ð 	#ñ 	3ô 	3ð 	3ð ÔÐ%Ý
Œ
×"Ò" 3¤8Ø#'Ô#5Ø(1ð 	#ñ 	3ô 	3ð 	3ð €Fr   c                   ól   — e Zd ZdZd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	e
j        j        d„ ¦   «         Zd	„ Zd
„ ZdS )ÚTestShgoSobolTestFunctionsz8
    Global optimisation tests with Sobol sampling:
    c                 ó.   — t          t          ¦  «         dS )úVMultivariate test function 1:
        x[0]**2 + x[1]**2 with bounds=[(-1, 6), (-1, 6)]N©r»   Útest1_1©r   s    r   Útest_f1_1_sobolz*TestShgoSobolTestFunctions.test_f1_1_sobol`  ó   € õ 	•ÑÔÐÐÐr   c                 ó.   — t          t          ¦  «         dS )zUMultivariate test function 1:
         x[0]**2 + x[1]**2 with bounds=[(0, 1), (0, 1)]N©r»   Útest1_2rÂ   s    r   Útest_f1_2_sobolz*TestShgoSobolTestFunctions.test_f1_2_sobole  rÄ   r   c                 ó:   — ddi}t          t          |¬¦  «         dS )z_Multivariate test function 1:
        x[0]**2 + x[1]**2 with bounds=[(None, None),(None, None)]ÚdispT)r¬   N©r»   Útest1_3©r   r¬   s     r   Útest_f1_3_sobolz*TestShgoSobolTestFunctions.test_f1_3_sobolj  s&   € ð ˜4�.ˆÝ• 'Ð*Ñ*Ô*Ð*Ð*Ð*r   c                 ó.   — t          t          ¦  «         dS )úRUnivariate test function on
        f(x) = (x - 30) * sin(x) with bounds=[(0, 60)]N©r»   Útest2_1rÂ   s    r   Útest_f2_1_sobolz*TestShgoSobolTestFunctions.test_f2_1_sobolp  rÄ   r   c                 ó.   — t          t          ¦  «         dS )úNUnivariate test function on
        f(x) = (x - 30) * sin(x) bounds=[(0, 4.5)]N©r»   Útest2_2rÂ   s    r   Útest_f2_2_sobolz*TestShgoSobolTestFunctions.test_f2_2_sobolu  rÄ   r   c                 ó.   — t          t          ¦  «         dS )ú%NLP: Hock and Schittkowski problem 18N©r»   Útest3_1rÂ   s    r   Útest_f3_sobolz(TestShgoSobolTestFunctions.test_f3_sobolz  s   € å•ÑÔÐÐÐr   c                 ó<   — ddi}t          t          d|¬¦  «         dS )ú?NLP: (High dimensional) Hock and Schittkowski 11 problem (HS11)Úinfty_constraintsFi¼  ©r¨   r¬   N©r»   Útest4_1rÍ   s     r   Útest_f4_sobolz(TestShgoSobolTestFunctions.test_f4_sobol~  s)   € ð '¨Ð.ˆå•˜G¨WÐ5Ñ5Ô5Ð5Ð5Ð5r   c                 ó2   — t          t          d¬¦  «         dS )úNLP: Eggholder, multimodalrO   )r¨   N©r»   Útest5_1rÂ   s    r   Útest_f5_1_sobolz*TestShgoSobolTestFunctions.test_f5_1_sobol…  s   € õ 	•˜BÐÑÔÐÐÐr   c                 ó4   — t          t          dd¬¦  «         dS )ræ   rO   rb   )r¨   r©   Nrç   rÂ   s    r   Útest_f5_2_sobolz*TestShgoSobolTestFunctions.test_f5_2_sobolŠ  s   € õ 	•˜B aÐ(Ñ(Ô(Ð(Ð(Ð(r   N)r    r!   r"   rN   rÃ   rÈ   rÎ   rÓ   rØ   rÝ   ÚpytestÚmarkÚslowrä   ré   rë   r#   r   r   r½   r½   Z  s·   € € € € € ðð ð
ð ð ð
ð ð ð
+ð +ð +ðð ð ð
ð ð ð
ð ð ð „[Ôð6ð 6ñ Ôð6ð ð  ð  ð
)ð )ð )ð )ð )r   r½   c                   óD  — e Zd ZdZd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	e
j        j        d„ ¦   «         Zd	„ Zd
„ Zd„ Ze
j                             d¦  «        d„ ¦   «         Ze
j                             d¦  «        d„ ¦   «         Ze
j                             d¦  «        d„ ¦   «         ZdS )ÚTestShgoSimplicialTestFunctionsz=
    Global optimisation tests with Simplicial sampling:
    c                 ó4   — t          t          dd¬¦  «         dS )r¿   r5   Ú
simplicial©r¨   r­   NrÀ   rÂ   s    r   Útest_f1_1_simplicialz4TestShgoSimplicialTestFunctions.test_f1_1_simplicial™  ó   € õ 	•˜A¨|Ð<Ñ<Ô<Ð<Ð<Ð<r   c                 ó4   — t          t          dd¬¦  «         dS )zTMultivariate test function 1:
        x[0]**2 + x[1]**2 with bounds=[(0, 1), (0, 1)]r5   rò   ró   NrÆ   rÂ   s    r   Útest_f1_2_simplicialz4TestShgoSimplicialTestFunctions.test_f1_2_simplicialž  rõ   r   c                 ó4   — t          t          dd¬¦  «         dS )z_Multivariate test function 1: x[0]**2 + x[1]**2
        with bounds=[(None, None),(None, None)]rb   rò   ró   NrË   rÂ   s    r   Útest_f1_3_simplicialz4TestShgoSimplicialTestFunctions.test_f1_3_simplicial£  rõ   r   c                 ó@   — ddi}t          t          dd|d¬¦  «         dS )rÐ   Úminimize_every_iterFéÈ   rg   rò   ©r¨   r©   r¬   r­   NrÑ   rÍ   s     r   Útest_f2_1_simplicialz4TestShgoSimplicialTestFunctions.test_f2_1_simplicial¨  s:   € ð )¨%Ð0ˆÝ•˜C q°'Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 ó4   — t          t          dd¬¦  «         dS )rÕ   r5   rò   ró   NrÖ   rÂ   s    r   Útest_f2_2_simplicialz4TestShgoSimplicialTestFunctions.test_f2_2_simplicial¯  rõ   r   c                 ó4   — t          t          dd¬¦  «         dS )rÚ   r5   rò   ró   NrÛ   rÂ   s    r   Útest_f3_simplicialz2TestShgoSimplicialTestFunctions.test_f3_simplicial´  s   € å•˜A¨|Ð<Ñ<Ô<Ð<Ð<Ð<r   c                 ó4   — t          t          dd¬¦  «         dS )rß   r5   rò   ró   Nrâ   rÂ   s    r   Útest_f4_simplicialz2TestShgoSimplicialTestFunctions.test_f4_simplicial¸  rõ   r   c                 óH   — dddœ}d}t          t          |d|dd¬¦  «         dS )	z&LJ: Symmetry-constrained test functionT©ÚsymmetryrÊ   ©rC   é,  r5   rò   ©r„   r¨   r¬   r©   r­   N©r»   ÚtestLJ©r   r¬   r„   s      r   Útest_lj_symmetry_oldz4TestShgoSimplicialTestFunctions.test_lj_symmetry_old½  sH   € à#Øð!ð !ˆàˆÝ•˜d cØ ¨Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 óP   — dgdz  ddœ}d}t          t          |d|dd¬	¦  «         d
S )z&LJ: Symmetry constrained test functionr   rC   Tr  r  r	  r5   rò   r
  Nr  r  s      r   Útest_f5_1_lj_symmetryz5TestShgoSimplicialTestFunctions.test_f5_1_lj_symmetryÆ  sN   € à !˜u q™yØð!ð !ˆàˆå•˜d cØ ¨Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 óF   — ddgddœ}t          t          d|dd¬¦  «         dS )	z"Symmetry constrained test functionr   Tr  rü   r5   rò   ©r¨   r¬   r©   r­   NrÀ   rÍ   s     r   Útest_f5_2_cons_symmetryz7TestShgoSimplicialTestFunctions.test_f5_2_cons_symmetryÐ  sG   € à ! 1˜vØð!ð !ˆõ 	•˜CØ ¨Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   ra   c                 óF   — g d¢ddœ}t          t          d|dd¬¦  «         dS )	z(Asymmetrically constrained test function)r   r   r   re   Tr  i'  r5   rò   r  N)r»   Útest_srÍ   s     r   Útest_f5_3_cons_symmetryz7TestShgoSimplicialTestFunctions.test_f5_3_cons_symmetryÙ  sJ   € ð  ,˜|˜|Øð!ð !ˆõ 	•˜5Ø ØØ!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   r£   c                 óÆ   ‡— dŠdˆfd„dœ}t          t          j        ddgz  |¬¦  «        }|j        sJ ‚t	          |j        dd	¬
¦  «         t	          |j        d¦  «         dS )zOReturn a minimum on a perfectly symmetric problem, based on
            gh10429r•   Úeqc                 ó2   •— t          j        | ¦  «        ‰z
  S r   )r>   Úmean)r7   Úavgs    €r   ú<lambda>zFTestShgoSimplicialTestFunctions.test_f0_min_variance.<locals>.<lambda>é  s   ø€ ­r¬w°q©z¬z¸CÑ/?€ r   r&   rC   rD   ©r   r§   r   çVçž¯Ò<r²   N)r   r>   ÚvarÚsuccessr   r(   r7   )r   r.   rº   r  s      @r   Útest_f0_min_variancez4TestShgoSimplicialTestFunctions.test_f0_min_varianceä  s|   ø€ ð ˆØÐ%?Ð%?Ð%?Ð%?Ð@Ð@ˆõ •2”6 ! v h¡,¸DÐAÑAÔAˆØŒ{ÐÐÐÝ˜œ ¨Ð/Ñ/Ô/Ð/Ý˜œ˜sÑ#Ô#Ð#Ð#Ð#r   c                 óà   — d„ }dg}t          ||¬¦  «        }t          ||d         ¬¦  «        }|j        sJ ‚t          |j        |j        ¦  «         t          |j        |j        d¬¦  «         dS )zRReturn a minimum on a perfectly symmetric 1D problem, based on
            gh10538c                 ó   — | | dz
  z  | dz
  z  S )Nr   r•   r#   r@   s    r   r(   zDTestShgoSimplicialTestFunctions.test_f0_min_variance_1D.<locals>.funö  s   € Ø˜˜C™‘= A¨¡GÑ,Ð,r   rD   )r   r   ç�íµ ÷Æ°>)r°   N)r   r
   r   r   r(   r7   )r   r(   r   rº   Úrefs        r   Útest_f0_min_variance_1Dz7TestShgoSimplicialTestFunctions.test_f0_min_variance_1Dñ  sƒ   € ð
	-ð 	-ð 	-ð �ˆÝ�3˜vÐ&Ñ&Ô&ˆÝ˜c¨&°¬)Ð4Ñ4Ô4ˆØŒ{ÐÐÐÝ˜œ ¤Ñ)Ô)Ð)Ý˜œ˜sœu¨4Ð0Ñ0Ô0Ð0Ð0Ð0r   N)r    r!   r"   rN   rô   r÷   rù   rþ   r   r  rì   rí   rî   r  r  r  r  Ú	fail_slowr  Úskipr!  r&  r#   r   r   rð   rð   ”  sJ  € € € € € ðð ð=ð =ð =ð
=ð =ð =ð
=ð =ð =ð
/ð /ð /ð=ð =ð =ð
=ð =ð =ð „[Ôð=ð =ñ Ôð=ð/ð /ð /ð/ð /ð /ð/ð /ð /ð „[×Ò˜2ÑÔð/ð /ñ Ôð/ð „[×Ò�lÑ#Ô#ð
$ð 
$ñ $Ô#ð
$ð „[×Ò�lÑ#Ô#ð1ð 1ñ $Ô#ð1ð 1ð 1r   rð   c                   óD  — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	e
j        j        d„ ¦   «         Ze
j        j        d	„ ¦   «         Zd
„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Ze
j                             eo
ej        dk    d¬¦  «        d„ ¦   «         Zd„ Ze
j                             d¬¦  «        d„ ¦   «         Z d„ Z!d„ Z"d„ Z#d„ Z$d„ Z%d „ Z&e
j         '                    d!¦  «        d"„ ¦   «         Z(d#„ Z)d$„ Z*e
j         +                    d%g d&¢¦  «        d'„ ¦   «         Z,d(„ Z-d)„ Z.d*S )+ÚTestShgoArgumentsc                 ó6   — t          t          ddd¬¦  «         dS )z>Iterative simplicial sampling on TestFunction 1 (multivariate)Nr4   rò   ©r¨   r©   r­   rÆ   rÂ   s    r   Útest_1_1_simpl_iterz%TestShgoArguments.test_1_1_simpl_iter  s   € å•˜D¨¸<ÐHÑHÔHÐHÐHÐHr   c                 ó@   — ddi}t          t          dd|d¬¦  «         dS )z3Iterative simplicial on TestFunction 2 (univariate)rû   FNé	   rò   rý   rÑ   rÍ   s     r   Útest_1_2_simpl_iterz%TestShgoArguments.test_1_2_simpl_iter  s8   € à(¨%Ð0ˆÝ•˜D¨°7Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 ó6   — t          t          ddd¬¦  «         dS )z9Iterative Sobol sampling on TestFunction 1 (multivariate)Nr5   r¥   r,  rÆ   rÂ   s    r   Útest_2_1_sobol_iterz%TestShgoArguments.test_2_1_sobol_iter  s   € å•˜D¨¸7ÐCÑCÔCÐCÐCÐCr   c                 ó2  — t          t          j        t          j        t          j        ddd¬¦  «        }t
          j                             |j        t          j	        dd¬¦  «         t
          j                             |j
        t          j        d¬¦  «         dS )z7Iterative Sobol sampling on TestFunction 2 (univariate)Nr5   r¥   )r§   r¨   r©   r­   r¤   r¯   r²   )r   rÒ   r8   r   r.   r>   rµ   r   r7   r   r(   r   ©r   rº   s     r   Útest_2_2_sobol_iterz%TestShgoArguments.test_2_2_sobol_iter  sw   € å•7”9�gœn½'¼,Ø °Gð=ñ =ô =ˆõ 	Œ
×"Ò" 3¤5­'Ô*<À4ÈdÐ"ÑSÔSÐSÝ
Œ
×"Ò" 3¤7­GÔ,@ÀtÐ"ÑLÔLÐLÐLÐLr   c           
      ó²   — d„ }t           t          fD ]D}t          |j        |j        dd|ddi¬¦  «         t          |j        |j        dd|ddi¬¦  «         ŒEdS )	zKIterative sampling on TestFunction 1 and 2  (multi and univariate)
        c                 ó$   — t          d¦  «         d S ©Nz Local minimization callback test©r€   r@   s    r   Úcallback_funczATestShgoArguments.test_3_1_disp_simplicial.<locals>.callback_func  ó   € ÝÐ4Ñ5Ô5Ð5Ð5Ð5r   r5   rò   rÊ   T©r©   r­   rª   r¬   ©r¨   r­   rª   r¬   N©rÁ   rÒ   r   r8   r   ©r   r:  r¸   s      r   Útest_3_1_disp_simplicialz*TestShgoArguments.test_3_1_disp_simplicial  sž   € ð	6ð 	6ð 	6õ �gÐ&ð 	Að 	AˆDÝ�”˜œ¨AØ!-Ø'°&¸$°ðAñ Aô Að Aõ �”˜œ¨¸<Ø'°&¸$°ðAñ Aô Að Að Að		Að 	Ar   c           
      ó²   — d„ }t           t          fD ]D}t          |j        |j        dd|ddi¬¦  «         t          |j        |j        dd|ddi¬¦  «         ŒEd	S )
zAIterative sampling on TestFunction 1 and 2 (multi and univariate)c                 ó$   — t          d¦  «         d S r8  r9  r@   s    r   r:  z<TestShgoArguments.test_3_2_disp_sobol.<locals>.callback_func)  r;  r   r5   r¥   rÊ   Tr<  rò   r=  Nr>  r?  s      r   Útest_3_2_disp_sobolz%TestShgoArguments.test_3_2_disp_sobol&  s�   € ð	6ð 	6ð 	6õ �gÐ&ð 	Að 	AˆDÝ�”˜œ¨A¸wØ'°&¸$°ðAñ Aô Að Aõ �”˜œ¨¸<Ø'°&¸$°ðAñ Aô Að Að Að		Að 	Ar   c                 ó¼   — t          d„ dgd¬¦  «        }t          d„ dg¬¦  «        }t          |j        |j        ¦  «         t          |j        |j        ¦  «         dS )zMUsing `args` used to cause `shgo` to fail; see #14589, #15986,
        #16506c                 ó   — | |z  |z   S r   r#   )r7   ÚyÚzs      r   r  z5TestShgoArguments.test_args_gh14589.<locals>.<lambda>6  s   € ¨¨A©°©	€ r   )r   re   )r5   r4   )Úfuncr   r„   c                 ó   — d| z  dz   S )Nr4   r5   r#   r@   s    r   r  z5TestShgoArguments.test_args_gh14589.<locals>.<lambda>8  s   €  ! a¡%¨!¡)€ r   )rH  r   N)r   r   r(   r7   )r   rº   r%  s      r   Útest_args_gh14589z#TestShgoArguments.test_args_gh145893  sj   € õ Ð1Ð1¸6¸(Èð ñ ô ˆåÐ+Ð+°V°HÐ=Ñ=Ô=ˆÝ˜œ ¤Ñ)Ô)Ð)Ý˜œ˜sœuÑ%Ô%Ð%Ð%Ð%r   c                 óX   — t           j        dddœ}t          t           dd|d¬¦  «         dS )z,Test known function minima stopping criteriar$  T)Úf_minÚf_tolrû   Nr¤   rò   ©r¨   r¹   r¬   r­   ©rã   r   r»   rÍ   s     r   Útest_4_1_known_f_minz&TestShgoArguments.test_4_1_known_f_min<  sJ   € õ $Ô0Ø Ø*.ð0ð 0ˆõ 	•˜D¨D¸'Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 óZ   — t           j        ddddœ}t          t           dd|d¬¦  «         dS )	z+Test Global mode limiting local evaluationsr$  Tr5   )rL  rM  rû   Ú
local_iterNr¤   rò   rN  rO  rÍ   s     r   Útest_4_2_known_f_minz&TestShgoArguments.test_4_2_known_f_minG  sM   € õ Ô)Øà#'Øðð ˆõ 	•˜D¨D¸'Ø!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c           	      óö   — t           j        dddddœ}t          t           j        t           j        t           j        dd|d¬¦  «        }t          j                             |j	        t           j
        d	d	¬
¦  «         dS )z8Test Global mode limiting local evaluations for 1D funcsr$  Tr5   F©rL  rM  rû   rR  rà   Nr¥   ©r§   r¨   r©   r¬   r­   r¤   r¯   )rÒ   r   r   r8   r   r.   r>   rµ   r   r7   r   ©r   r¬   rº   s      r   Útest_4_4_known_f_minz&TestShgoArguments.test_4_4_known_f_minT  sz   € õ Ô)Øà#'ØØ!&ð(ð (ˆõ •7”9�gœn½'¼,Ø ¨wØ#*ð,ñ ,ô ,ˆõ 	Œ
×"Ò" 3¤5­'Ô*<À4ÈdÐ"ÑSÔSÐSÐSÐSr   c                 óÊ   — t          t          j        t          j        t          j        ¬¦  «        }t
          j                             |j        t          j	        dd¬¦  «         dS )z;Test Default simplicial sampling settings on TestFunction 1©r§   r¤   r¯   N©
r   rÁ   r8   r   r.   r>   rµ   r   r7   r   r4  s     r   Útest_5_1_simplicial_arglessz-TestShgoArguments.test_5_1_simplicial_arglessc  sF   € å•7”9�gœn½'¼,ÐGÑGÔGˆÝ
Œ
×"Ò" 3¤5­'Ô*<À4ÈdÐ"ÑSÔSÐSÐSÐSr   c                 óÌ   — t          t          j        t          j        t          j        d¬¦  «        }t
          j                             |j        t          j	        dd¬¦  «         dS )z6Test Default sobol sampling settings on TestFunction 1r¥   ©r§   r­   r¤   r¯   Nr[  r4  s     r   Útest_5_2_sobol_arglessz(TestShgoArguments.test_5_2_sobol_arglessh  sO   € å•7”9�gœn½'¼,Ø#*ð,ñ ,ô ,ˆå
Œ
×"Ò" 3¤5­'Ô*<À4ÈdÐ"ÑSÔSÐSÐSÐSr   c                 ó8  — ddi}t          t          j        t          j        t          j        |d¬¦  «        }t
          j                             |j        t          j	        dd¬¦  «         t
          j                             |j
        t          j        d¬¦  «         dS )	ú:Test that maximum iteration option works on TestFunction 3Úmax_iterr4   rò   ©r§   r¬   r­   r¤   r¯   r²   N©r   rÜ   r8   r   r.   r>   rµ   r   r7   r   r(   r   rW  s      r   Útest_6_1_simplicial_max_iterz.TestShgoArguments.test_6_1_simplicial_max_itern  ó   € à˜q�/ˆÝ•7”9�gœn½'¼,Ø"°LðBñ Bô Bˆå
Œ
×"Ò" 3¤5­'Ô*<À4ÈdÐ"ÑSÔSÐSÝ
Œ
×"Ò" 3¤7­GÔ,@ÀtÐ"ÑLÔLÐLÐLÐLr   c                 ó8  — ddi}t          t          j        t          j        t          j        |d¬¦  «        }t
          j                             |j        t          j	        dd¬¦  «         t
          j                             |j
        t          j        d¬¦  «         dS )	ra  Úmin_iterr4   rò   rc  r¤   r¯   r²   Nrd  rW  s      r   Útest_6_2_simplicial_min_iterz.TestShgoArguments.test_6_2_simplicial_min_iterv  rf  r   c                 ó`   — dD ]*}|t           j        dœ}t          t           dd|d¬¦  «         Œ+dS )z@Test the minimizer_kwargs arguments for solvers with constraints)ÚCOBYLAÚCOBYQAÚSLSQP)Úmethodr§   rš   çü©ñÒMbP?r¥   ©r¨   r¹   r«   r­   N)rÜ   r.   r»   )r   Úsolverr«   s      r   Útest_7_1_minkwargsz$TestShgoArguments.test_7_1_minkwargs~  s\   € ð 4ð 	.ð 	.ˆFð +1Ý/6¬|ð =ð  =Ðå•W ¨tØ&6Ø%,ð.ñ .ô .ð .ð .ð	.ð 	.r   c                 ó†   — ddi}ddi}t          t          j        t          j        t          j        d         ||¬¦  «         dS )z'Test the minimizer_kwargs default initsÚftolr¤   rÊ   Tr   )r§   r«   r¬   N©r   rÜ   r8   r   r.   )r   r«   r¬   s      r   Útest_7_2_minkwargsz$TestShgoArguments.test_7_2_minkwargsŠ  sQ   € à" D˜>ÐØ˜4�.ˆÝ�WŒY�œµG´LÀ´OØ.¸ð	Añ 	Aô 	Að 	Að 	Að 	Ar   c                 ó°   — dD ]R}d„ }d„ }|||dœ}t          j        d|› �¦  «         t          j        d¦  «         t          t          dd|d	¬
¦  «         ŒSdS )z?Test minimizer_kwargs arguments for solvers without constraints)zNelder-MeadÚPowellÚCGÚBFGSú	Newton-CGzL-BFGS-BÚTNCÚdoglegz	trust-ncgztrust-exactztrust-krylovc                 ó\   — t          j        d| d         z  d| d         z  g¦  «        j        S )Nr4   r   r5   )r>   ÚarrayÚTr@   s    r   Újacz1TestShgoArguments.test_7_3_minkwargs.<locals>.jac–  s*   € Ý”x  Q q¤T¡¨1¨q°¬t©8Ð 4Ñ5Ô5Ô7Ð7r   c                 ó6   — t          j        ddgddgg¦  «        S ©Nr4   r   )r>   r  r@   s    r   Úhessz2TestShgoArguments.test_7_3_minkwargs.<locals>.hess™  s   € Ý”x ! Q ¨!¨Q¨Ð 0Ñ1Ô1Ð1r   )rn  r�  r„  z	Solver = zd====================================================================================================rš   ro  r¥   rp  N)r³   r´   r»   rÁ   )r   rq  r�  r„  r«   s        r   Útest_7_3_minkwargsz$TestShgoArguments.test_7_3_minkwargs‘  s¦   € ð'ð 	.ð 	.ˆFð8ð 8ð 8ð2ð 2ð 2ð +1Ø'*Ø(,ð .ð  .Ðõ ŒLÐ- VÐ-Ð-Ñ.Ô.Ð.ÝŒL˜Ñ#Ô#Ð#Ý•W ¨tØ&6Ø%,ð.ñ .ô .ð .ð .ð	.ð 	.r   c                 óB   — dddœ}t          t          d d |d¬¦  «         d S )Nr5   T)Úminhgrdrû   rò   rý   rÀ   rÍ   s     r   Útest_8_homology_group_diffz,TestShgoArguments.test_8_homology_group_diff¥  sB   € ØØ*.ð0ð 0ˆõ 	•˜D¨°gØ!-ð	/ñ 	/ô 	/ð 	/ð 	/ð 	/r   c                 ór   — t          t          j        t          j        t          j        d         ¬¦  «         dS )ú'Test single function constraint passingr   rZ  Nru  rÂ   s    r   Útest_9_cons_gzTestShgoArguments.test_9_cons_g¬  s'   € å�WŒY�œµG´LÀ´OÐDÑDÔDÐDÐDÐDr   Úwin32z2Failing and fix in PyPy not planned (see gh-18632))Úreasonc                 óh   — ddi}d„ }t          |t          j        d|¬¦  «        }|j        dk    sJ ‚dS )rŠ  Úmaxtimer  c                 ó.   — t          j        d¦  «         dS )Ng›+¡†›„=r~   )ÚtimeÚsleepr@   s    r   r8   z0TestShgoArguments.test_10_finite_time.<locals>.f¶  s   € ÝŒJ�uÑÔÐØ�3r   rb   )r©   r¬   r5   N)r   rÁ   r   Únit)r   r¬   r8   rº   s       r   Útest_10_finite_timez%TestShgoArguments.test_10_finite_time°  sJ   € ð ˜eÐ$ˆð	ð 	ð 	õ �1•g”n¨A°wÐ?Ñ?Ô?ˆàŒw˜!Š|ˆ|ˆ|ˆ|ˆ|ˆ|r   c                 ó  — dddœ}t          t          j        t          j        dd|d¬¦  «        }t          j                             d|j        d         ¦  «         t          j                             d|j        d	         ¦  «         dS )
ú*Test to cover the case where f_lowest == 0r~   T)rL  rÊ   ra   Nr¥   rý   r   r5   )r   rÇ   r8   r   r>   rµ   Úassert_equalr7   rW  s      r   Útest_11_f_min_0z!TestShgoArguments.test_11_f_min_0¾  s{   € àØð!ð !ˆå•7”9�gœn°¸$Ø"°Gð=ñ =ô =ˆå
Œ
×Ò  3¤5¨¤8Ñ,Ô,Ð,Ý
Œ
×Ò  3¤5¨¤8Ñ,Ô,Ð,Ð,Ð,r   z no way of currently testing thisc                 ó¬   — dddœ}t          t          j        t          j        dd|d¬¦  «        }t          j                             d|j        ¦  «         dS )r–  r  r~   )r�  rL  r5   Nr¥   rý   )r   rÇ   r8   r   r>   rµ   r—  r(   rW  s      r   Útest_12_sobol_inf_consz(TestShgoArguments.test_12_sobol_inf_consÈ  s[   € ð $Øð!ð !ˆå•7”9�gœn°¸Ø"°Gð=ñ =ô =ˆå
Œ
×Ò  S¤WÑ-Ô-Ð-Ð-Ð-r   c                 óh   — d„ }dgdz  }t          ||d¬¦  «        }|                     dd¦  «         dS )	z-Test init of high-dimensional sobol sequencesc                 ó   — dS ©Nr   r#   r@   s    r   r8   z/TestShgoArguments.test_13_high_sobol.<locals>.f×  ó   € Ø�1r   rE   é)   r¥   ©r­   r4   r\   N)r   Úsampling_function)r   r8   r   ÚSHGOcs       r   Útest_13_high_sobolz$TestShgoArguments.test_13_high_sobolÔ  sP   € ð	ð 	ð 	ð Ð! BÑ&ˆÝ�Q˜°Ð8Ñ8Ô8ˆà×Ò  2Ñ&Ô&Ð&Ð&Ð&r   c                 ó<   — ddi}t          t          d|¬¦  «         dS )z6Test limited local iterations for a pseudo-global moderR  rd   rO   rá   Nrç   rÍ   s     r   Útest_14_local_iterz$TestShgoArguments.test_14_local_iterß  s'   € à Ð#ˆÝ•˜B¨Ð0Ñ0Ô0Ð0Ð0Ð0r   c                 ó@   — ddi}t          t          dd|d¬¦  «         dS )z9Test minimize every iter options and cover function cacherû   Tr5   rg   r¥   rý   NrÀ   rÍ   s     r   Útest_15_min_every_iterz(TestShgoArguments.test_15_min_every_iterä  s8   € à(¨$Ð/ˆÝ•˜A Q°Ø!(ð	*ñ 	*ô 	*ð 	*ð 	*ð 	*r   c                 óF   — ddi}ddi}t          t          d||¬¦  «         dS )z:Test disp=True with minimizers that do not support bounds rÊ   Trn  znelder-meadrò   )r­   r¬   r«   NrÆ   )r   Úcapsysr¬   r«   s       r   Útest_16_disp_bounds_minimizerz/TestShgoArguments.test_16_disp_bounds_minimizerê  sG   € à˜4�.ˆØ$ mÐ4ÐÝ•¨,Ø Ð3Cð	Eñ 	Eô 	Eð 	Eð 	Eð 	Er   c                 ó:   — d„ }t          t          d|¬¦  «         dS )ú=Test the functionality to add custom sampling methods to shgoc                 óF   — t           j                             | |f¬¦  «        S )N)Úsize)r>   ÚrandomÚuniform)r¨   Úds     r   Úsamplez9TestShgoArguments.test_17_custom_sampling.<locals>.sampleô  s   € Ý”9×$Ò$¨1¨a¨&Ð$Ñ1Ô1Ð1r   rI   ró   NrÀ   )r   r²  s     r   Útest_17_custom_samplingz)TestShgoArguments.test_17_custom_samplingñ  s.   € ð	2ð 	2ð 	2õ 	•˜B°Ð7Ñ7Ô7Ð7Ð7Ð7r   c                 óì  — d„ }g d¢}g d¢}t          t          ||¦  «        ¦  «        }t          ||¦  «        }t          ||¦  «        }t          ||¦  «        }|j        |j        k    sJ ‚|j        |j        k    sJ ‚|j        |j        k    sJ ‚t          j        g d¢¦  «        }t          j	         
                    |j        |¦  «         t          j	         
                    |j        |j        ¦  «         d S )Nc                 óN   — t          j        | ¦  «                             ¦   «         S r   )r>   Úsquarer?   r@   s    r   r8   z1TestShgoArguments.test_18_bounds_class.<locals>.fû  s   € Ý”9˜Q‘<”<×#Ò#Ñ%Ô%Ð%r   )g      Àr   g      À)r‘   r™   r]   )r‘   r   r~   )r+   Úzipr	   r   ÚnfevÚmessager   r>   r  rµ   r   r7   )	r   r8   ÚlbÚubÚ
bounds_oldÚ
bounds_newÚres_old_boundsÚres_new_boundsÚx_opts	            r   Útest_18_bounds_classz&TestShgoArguments.test_18_bounds_classù  sü   € ð	&ð 	&ð 	&ð ˆ^ˆ^ˆØˆ]ˆ]ˆÝ�#˜b "™+œ+Ñ&Ô&ˆ
Ý˜B ‘^”^ˆ
å˜a Ñ,Ô,ˆÝ˜a Ñ,Ô,ˆàÔ" nÔ&9Ò9Ð9Ð9Ð9ØÔ%¨Ô)?Ò?Ð?Ð?Ð?ØÔ%¨Ô)?Ò?Ð?Ð?Ð?Ý”˜˜˜Ñ'Ô'ˆÝ
Œ
×"Ò" >Ô#3°UÑ;Ô;Ð;Ý
Œ
×"Ò" >Ô#3°^Ô5EÑFÔFÐFÐFÐFr   ra   c                 ó‚  — t          d¦  «        5 }t          t          d|j        ¬¦  «         ddd¦  «         n# 1 swxY w Y   t          t          dt          ¬¦  «         t          d¦  «        5 }t          t          d|j        ¬¦  «         ddd¦  «         n# 1 swxY w Y   t          t          dt          ¬¦  «         dS )r¬  r4   rI   )r¨   r®   N)r   r»   rÁ   Úmapr  )r   Úps     r   Útest_19_parallelizationz)TestShgoArguments.test_19_parallelization  s  € õ �!‰WŒWð 	3˜Ý•W ¨A¬EÐ2Ñ2Ô2Ð2ð	3ð 	3ð 	3ñ 	3ô 	3ð 	3ð 	3ð 	3ð 	3ð 	3ð 	3øøøð 	3ð 	3ð 	3ð 	3å•˜B­Ð,Ñ,Ô,Ð,Ý�!‰WŒWð 	2˜Ý•V˜r¨1¬5Ð1Ñ1Ô1Ð1ð	2ð 	2ð 	2ñ 	2ô 	2ð 	2ð 	2ð 	2ð 	2ð 	2ð 	2øøøð 	2ð 	2ð 	2ð 	2å•˜2¥sÐ+Ñ+Ô+Ð+Ð+Ð+s   �9¹=Á =Á/BÂBÂBc                 ó    — d„ }d„ }dgdz  }d„ }d„ }d„ }d|d	d
œd|dœd|dœf}t          ||dd|¬¦  «         t          ||dd|d¬¦  «         dS )z0Test that constraints can be passed to argumentsc                 óJ  — | d         dz    t          j        t          j        t          | d         dz  | d         dz   z   ¦  «        ¦  «        ¦  «        z  | d         t          j        t          j        t          | d         | d         dz   z
  ¦  «        ¦  «        ¦  «        z  z
  S rv   rx   r@   s    r   Ú	eggholderz=TestShgoArguments.test_20_constrained_args.<locals>.eggholder  s‰   € à�A”$˜‘+��rœv¥b¤g­c°!°A´$¸±*ÀÀ!ÄÀtÁÑ2LÑ.MÔ.MÑ&NÔ&NÑOÔOÑOØ�A”$•r”v�bœg¥c¨!¨A¬$°!°A´$¸±+Ñ*>Ñ&?Ô&?Ñ@Ô@ÑAÔAÑAñBðr   c                 ó`   — d| d         z  d| d         z  z   d| d         z  z   d| d         z  z   S )	NgÍÌÌÌÌŒ8@r   g     À:@r5   é'   r4   g     @D@re   r#   r@   s    r   r8   z5TestShgoArguments.test_20_constrained_args.<locals>.f!  s7   € Ø˜1˜Qœ4‘< %¨!¨A¬$¡,Ñ.°°a¸´d±Ñ:¸UÀQÀqÄT¹\ÑIÐIr   ©r   r   rd   c                 ór   — |dz  | d         z  |dz  | d         z  z   d| d         z  z   d| d         z  z   d	z
  S )
Ngffffff@r   gffffff@r5   g333333&@r4   gÍÌÌÌÌÌô?re   rb   r#   )r7   r‡   s     r   Úg1_modifiedz?TestShgoArguments.test_20_constrained_args.<locals>.g1_modified&  sT   € Ø�s‘7˜Q˜qœT‘> A¨¡G¨a°¬d¡NÑ2°T¸A¸a¼D±[Ñ@À3ÈØôJñ Dñ Øñð r   c                 ó  — d| d         z  d| d         z  z   d| d         z  z   d| d         z  z   d	z
  d
t          j        d| d         dz  z  d| d         dz  z  z   d| d         dz  z  z   d| d         dz  z  z   ¦  «        z  z
  S )Nrc   r   gÍÌÌÌÌÌ'@r5   gfffffæD@r4   gÍÌÌÌÌJ@re   é   gR¸…ëQú?gìQ¸…ëÑ?gR¸…ëQÈ?g     €4@g×£p=
×ã?)r>   ry   r@   s    r   rX   z6TestShgoArguments.test_20_constrained_args.<locals>.g2*  s›   € à�1�Q”4‘˜$˜q œt™)Ñ# d¨1¨Q¬4¡iÑ/°$°q¸´t±)Ñ;¸bÑ@Ø�œØ˜˜1œ˜q™‘L 4¨¨!¬¨a©¡<Ñ/°$°q¸´t¸Q±w±,Ñ>ÀÀaÈÄdÈAÁgÁÑMñô ñ ñðr   c                 óN   — | d         | d         z   | d         z   | d         z   dz
  S ©Nr   r5   r4   re   r#   r@   s    r   Úh1z6TestShgoArguments.test_20_constrained_args.<locals>.h12  s+   € Ø�Q”4˜!˜Aœ$‘;  1¤Ñ%¨¨!¬Ñ,¨qÑ0Ð0r   r%   )r   )r'   r(   r„   r&   r  r	  r5   )r¨   r©   r§   r¥   )r¨   r©   r§   r­   N)r   )r   rÈ  r8   r   rÍ  rX   rÒ  r.   s           r   Útest_20_constrained_argsz*TestShgoArguments.test_20_constrained_args  sÓ   € ð	ð 	ð 	ð	Jð 	Jð 	Jð � Ñ!ˆð	ð 	ð 	ð	ð 	ð 	ð	1ð 	1ð 	1ð  ¨¸TÐBÐBØ¨Ð+Ð+Ø bÐ)Ð)ð+ˆõ 	ˆQ�˜# Q°DÐ9Ñ9Ô9Ð9åˆQ�˜# Q°DØ$ð	&ñ 	&ô 	&ð 	&ð 	&ð 	&r   c           
      óD  — d„ }t          |ddgddggddddd	d
œ¬¦  «         d„ }ddgddgddgddgddgg}t          ||ddd	d
œ¬¦  «        }t          |g d¢|d	¬¦  «        }|j        sJ ‚t          |j        |j        ¦  «         t          |j        |j        d¬¦  «         dS )z|Test that shgo can handle objective functions that return the
        gradient alongside the objective value. Fixes gh-13547c                 óZ   — t          j        t          j        | d¦  «        ¦  «        d| z  fS ©Nr4   )r>   r?   Úpowerr@   s    r   rH  z2TestShgoArguments.test_21_1_jac_true.<locals>.funcB  s%   € Ý”6�"œ( 1 a™.œ.Ñ)Ô)¨1¨q©5Ð0Ð0r   rB   r5   r4   rš   rb   r¥   rm  T)rn  r�  )r   r¨   r©   r­   r«   c                 ó:   — t          j        | dz  ¦  «        d| z  fS rÖ  r=   r@   s    r   rH  z2TestShgoArguments.test_21_1_jac_true.<locals>.funcN  s   € Ý”6˜!˜q™&‘>”> 1 q¡5Ð(Ð(r   r   re   )r   r­   r«   )r5   r5   r5   r5   r5   )Úx0r   r�  r  r²   N)r   r   r   r   r(   r7   )r   rH  r   rº   r%  s        r   Útest_21_1_jac_truez$TestShgoArguments.test_21_1_jac_true>  s  € ð	1ð 	1ð 	1õ 	ØØ˜�G˜a ˜VÐ$Ø˜Ø#Ø(/¸Ð=Ð=ð	
ñ 	
ô 	
ð 	
ð	)ð 	)ð 	)ð �q�'˜A˜q˜6 B¨ 7¨Q°¨F°Q¸°FÐ;ˆå�4 ¸Ø/6¸tÐ$DÐ$DðFñ Fô Fˆå�t   ¸Øð!ñ !ô !ˆàŒ{ÐÐÐÝ˜œ ¤Ñ)Ô)Ð)Ý˜œ˜sœu¨5Ð1Ñ1Ô1Ð1Ð1Ð1r   Ú
derivative©r�  r„  Úhesspc                 óR  — d„ }d„ }d„ }d„ }|||dœ}|||         i}ddi}dg}	t          ||	||¬	¦  «        }
t          |fd
g|	dœ|¤|¤Ž}|
j        sJ ‚t          j                             |
j        |j        ¦  «         t          j                             |
j        |j        ¦  «         dS )zzshgo used to raise an error when passing `options` with 'jac'
        # see gh-12963. check that this is resolved
        c                 óH   — d| d         z  | d         z  d| d         z  z   dz   S )Nre   r   r4   rb   r#   r@   s    r   Ú	objectivezATestShgoArguments.test_21_2_derivative_options.<locals>.objectivea  s*   € Ø�q˜”t‘8˜a œd‘? Q¨¨1¬¡XÑ-°Ñ1Ð1r   c                 ó   — d| d         z  dz   S )NrC   r   r4   r#   r@   s    r   Úgradientz@TestShgoArguments.test_21_2_derivative_options.<locals>.gradientd  s   € Ø�q˜”t‘8˜a‘<Ðr   c                 ó   — dS ©NrC   r#   r@   s    r   r„  z<TestShgoArguments.test_21_2_derivative_options.<locals>.hessg  rž  r   c                 ó   — d|z  S rä  r#   )r7   rÄ  s     r   rÝ  z=TestShgoArguments.test_21_2_derivative_options.<locals>.hesspj  s   € Ø�q‘5ˆLr   rÜ  rn  útrust-constr)iœÿÿÿrš   ©r«   r¬   r   )rÙ  r   N)r   r   r   r>   rµ   r   r(   r7   )r   rÛ  rà  râ  r„  rÝ  Úderivative_funcsr¬   r«   r   rº   r%  s               r   Útest_21_2_derivative_optionsz.TestShgoArguments.test_21_2_derivative_options[  s  € ð	2ð 	2ð 	2ð	 ð 	 ð 	 ð	ð 	ð 	ð	ð 	ð 	ð $,°TÀEÐJÐJÐØÐ/°
Ô;Ð<ˆØ$ nÐ5Ðà�ˆÝ�9˜fÐ7GØ"ð$ñ $ô $ˆå�yð " a S°ð "ð "Ð;Kð "Ø ð"ð "ˆð Œ{ÐÐÐÝ
Œ
×"Ò" 3¤7¨C¬GÑ4Ô4Ð4Ý
Œ
×"Ò" 3¤5¨#¬%Ñ0Ô0Ð0Ð0Ð0r   c                 ó0  — g d¢}t           t          dœ}ddi}t          t          |||¬¦  «        }t	          t          t          j        d¦  «        fddi|¤Ž}|j        sJ ‚t          |j	        |j	        ¦  «         t          |j
        |j
        d¬¦  «         d	S )
zsEnsure the Hessian gets passed correctly to the local minimizer
        routine. Previous report gh-14533.
        )©r   gš™™™™™ù?rë  ©r   gffffffö?rì  rì  )r�  r„  rn  r{  rç  rb   r  r²   N)r   r   r   r   r   r>   Úzerosr   r   r(   r7   )r   r   r¬   r«   rº   r%  s         r   Útest_21_3_hess_options_rosenz.TestShgoArguments.test_21_3_hess_options_rosen{  s¶   € ð DÐCÐCˆÝ#­ZÐ8Ð8ˆØ$ kÐ2ÐÝ•5˜&Ð3CØ"ð$ñ $ô $ˆå•u�bœh q™kœkð "ð "°+ð "Ø ð"ð "ˆàŒ{ÐÐÐÝ˜œ ¤Ñ)Ô)Ð)Ý˜œ˜sœu¨5Ð1Ñ1Ô1Ð1Ð1Ð1r   c                 ó  — d„ }dd„ dœ}dg}t          ||d|d¬¦  «        }t          |t          j        d	¦  «        |d|¬
¦  «        }|j        sJ ‚t          |j        |j        ¦  «         t          |j        |j        ¦  «         dS )zwshgo used to raise an error when passing `args` with Sobol sampling
        # see gh-12114. check that this is resolvedc                 ó   — | d         |z  S r�  r#   )r7   r…   s     r   r(   z6TestShgoArguments.test_21_arg_tuple_sobol.<locals>.funŽ  s   € Ø�Q”4˜1‘9Ðr   r%   c                 ó   — | d         dz
  S rŸ   r#   r@   s    r   r  z;TestShgoArguments.test_21_arg_tuple_sobol.<locals>.<lambda>‘  s   € ¸¸1¼À¹€ r   r&   ©r   ra   )r5   r¥   )r„   r§   r­   r5   )r   r„   r§   N)r   r   r>   rí  r   r   r(   r7   )r   r(   r§   r   rº   r%  s         r   Útest_21_arg_tuple_sobolz)TestShgoArguments.test_21_arg_tuple_sobolŠ  s­   € ð	ð 	ð 	ð !'Ð/AÐ/AÐBÐBˆà�ˆÝ�3˜ T°{Ø#*ð,ñ ,ô ,ˆå�s�BœH Q™KœK°¸TØ#.ð0ñ 0ô 0ˆàŒ{ÐÐÐÝ˜œ ¤Ñ)Ô)Ð)Ý˜œ˜sœuÑ%Ô%Ð%Ð%Ð%r   N)/r    r!   r"   r-  r0  r2  r5  r@  rC  rJ  rì   rí   rî   rP  rS  rX  r\  r_  re  ri  rr  rv  r…  rˆ  r‹  Úxfailr   ÚsysÚplatformr”  r˜  r(  rš  r£  r¥  r§  rª  r³  rÁ  r'  rÅ  rÓ  rÚ  Úparametrizeré  rî  ró  r#   r   r   r*  r*    s  € € € € € ðIð Ið Ið/ð /ð /ðDð Dð DðMð Mð MðAð Að AðAð Að Að&ð &ð &ð „[Ôð/ð /ñ Ôð/ð „[Ôð
/ð 
/ñ Ôð
/ðTð Tð TðTð Tð Tð
Tð Tð TðMð Mð MðMð Mð Mð
.ð 
.ð 
.ðAð Að Að.ð .ð .ð(/ð /ð /ðEð Eð Eð „[×Ò�wÐ: 3¤<°7Ò#:ØGð ñ Iô Ið
ð 
ñIô Ið
ð-ð -ð -ð „[×ÒÐ?ÐÑ@Ô@ð	.ð 	.ñ AÔ@ð	.ð	'ð 	'ð 	'ð1ð 1ð 1ð
*ð *ð *ðEð Eð Eð8ð 8ð 8ðGð Gð Gð( „[×Ò˜2ÑÔð,ð ,ñ Ôð,ð$&ð $&ð $&ðL2ð 2ð 2ð: „[×Ò˜\Ð+CÐ+CÐ+CÑDÔDð1ð 1ñ EÔDð1ð>2ð 2ð 2ð&ð &ð &ð &ð &r   r*  c                   ót   — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	d„ Z
d	„ Zej        j        d
„ ¦   «         Zd„ ZdS )ÚTestShgoFailuresc                 óô   — ddi}t          t          j        t          j        dd|d¬¦  «        }t          j                             d|j        ¦  «         t          j                             d|j        ¦  «         dS )z'Test failure on insufficient iterationsÚmaxiterr4   Nr¥   rý   Frd   )	r   rã   r8   r   r>   rµ   r—  r   ÚtnevrW  s      r   Útest_1_maxiterzTestShgoFailures.test_1_maxiterŸ  sl   € à˜a�.ˆÝ•7”9�gœn°¸Ø"°Gð=ñ =ô =ˆõ 	Œ
×Ò  s¤{Ñ3Ô3Ð3å
Œ
×Ò  3¤8Ñ,Ô,Ð,Ð,Ð,r   c                 ój   — t          t          t          t          j        t          j        d¬¦  «         dS )z$Rejection of unknown sampling methodÚ	not_Sobolr   N)Úassert_raisesÚ
ValueErrorr   rÁ   r8   r   rÂ   s    r   Útest_2_samplingz TestShgoFailures.test_2_sampling©  s2   € å•j¥$­¬	µ7´>Ø&1ð	3ñ 	3ô 	3ð 	3ð 	3ð 	3r   c                 óô   — dddœ}t          t          j        t          j        d|d¬¦  «        }t          j                             d|j        ¦  «         t          j                             d|j        ¦  «         d	S )
zoCheck that the routine stops when no minimiser is found
           after maximum specified function evaluationsra   T)ÚmaxfevrÊ   re   r¥   ©r¨   r¬   r­   Frc   N)	r   Ú
test_tabler8   r   r>   rµ   r—  r   r¸  rW  s      r   Útest_3_1_no_min_pool_sobolz+TestShgoFailures.test_3_1_no_min_pool_sobol®  sv   € ð  àð!ð !ˆõ •:”<¥Ô!2°aÀØ#*ð,ñ ,ô ,ˆå
Œ
×Ò  s¤{Ñ3Ô3Ð3å
Œ
×Ò  C¤HÑ-Ô-Ð-Ð-Ð-r   c                 óª   — dddœ}t          t          j        t          j        d|d¬¦  «        }t          j                             d|j        ¦  «         dS )	zoCheck that the routine stops when no minimiser is found
           after maximum specified sampling evaluationsra   T©ÚmaxevrÊ   re   rò   r  FN)r   r  r8   r   r>   rµ   r—  r   rW  s      r   Útest_3_2_no_min_pool_simplicialz0TestShgoFailures.test_3_2_no_min_pool_simplicialº  sZ   € ð Øð!ð !ˆå•:”<¥Ô!2°aÀØ#/ð1ñ 1ô 1ˆå
Œ
×Ò  s¤{Ñ3Ô3Ð3Ð3Ð3r   c                 óZ   — ddg}t          t          t          t          j        |¦  «         dS )zSpecified bounds ub > lb)rC   re   ©re   rb   N©r   r  r   rÁ   r8   ©r   r   s     r   Útest_4_1_bound_errz#TestShgoFailures.test_4_1_bound_errÃ  s(   € à˜&Ð!ˆÝ•j¥$­¬	°6Ñ:Ô:Ð:Ð:Ð:r   c                 óZ   — ddg}t          t          t          t          j        |¦  «         dS )z)Specified bounds are of the form (lb, ub))re   rb   rb   r  Nr  r  s     r   Útest_4_2_bound_errz#TestShgoFailures.test_4_2_bound_errÈ  s(   € à˜VÐ$ˆÝ•j¥$­¬	°6Ñ:Ô:Ð:Ð:Ð:r   c                 óÀ   — dddœ}t          t          j        t          j        t          j        d|d¬¦  «        }t
          j                             d|j        ¦  «         dS )zxEnsures the algorithm terminates on infeasible problems
           after maxev is exceeded. Use infty constraints optionrš   Tr	  r¥   ©r§   r¨   r¬   r­   FN©	r   Útest_infeasibler8   r   r.   r>   rµ   r—  r   rW  s      r   Útest_5_1_1_infeasible_sobolz,TestShgoFailures.test_5_1_1_infeasible_sobolÍ  se   € ð  Øð!ð !ˆõ •?Ô$¥oÔ&<Ý.Ô3°sÀGØ#*ð,ñ ,ô ,ˆõ 	Œ
×Ò  s¤{Ñ3Ô3Ð3Ð3Ð3r   c                 óÂ   — ddddœ}t          t          j        t          j        t          j        d|d¬¦  «        }t
          j                             d|j        ¦  «         dS )zEnsures the algorithm terminates on infeasible problems
           after maxev is exceeded. Do not use infty constraints optionrš   TF)r
  rÊ   rà   r¥   r  Nr  rW  s      r   Útest_5_1_2_infeasible_sobolz,TestShgoFailures.test_5_1_2_infeasible_sobolÙ  sh   € ð  ØØ(-ð/ð /ˆõ •?Ô$¥oÔ&<Ý.Ô3°sÀGØ#*ð,ñ ,ô ,ˆõ 	Œ
×Ò  s¤{Ñ3Ô3Ð3Ð3Ð3r   c                 óÀ   — dddœ}t          t          j        t          j        t          j        d|d¬¦  «        }t
          j                             d|j        ¦  «         dS )z[Ensures the algorithm terminates on infeasible problems
           after maxev is exceeded.iè  Fr	  rš   rò   r  Nr  rW  s      r   Útest_5_2_infeasible_simplicialz/TestShgoFailures.test_5_2_infeasible_simplicialæ  se   € ð !Ø ð"ð "ˆõ •?Ô$¥oÔ&<Ý.Ô3°sÀGØ#/ð1ñ 1ô 1ˆõ 	Œ
×Ò  s¤{Ñ3Ô3Ð3Ð3Ð3r   c                 óº   — t           j        dz   dddddœ}t           j        t           j        f}t           j        dd|dd	œ}t          t          t          g|¢R i |¤Ž dS )
z<Test Global mode limiting local evaluations with f* too highrw   r$  Tr5   FrU  Nr¥   rV  )rÒ   r   r8   r   r.   r   ÚUserWarningr   )r   r¬   r„   Úkwargss       r   Útest_6_1_lower_known_f_minz+TestShgoFailures.test_6_1_lower_known_f_minò  s|   € õ Ô)¨CÑ/Øà#'ØØ!&ð(ð (ˆõ ”	�7œ>Ð*ˆÝ!(¤ØØØ$Ø%,ð	ð ˆõ 	�k�4Ð1 $Ð1Ð1Ð1¨&Ð1Ð1Ð1Ð1Ð1r   c                 ó”   ‡‡— ddl mŠm} g d¢}ˆˆfd„Šd‰_         |‰|¦  «        }t	          |j        |j        ‰j        ¦  «         d S )Nr   )r   r   ©©r   r4   r"  r"  r"  r"  c                 ó:   •— ‰xj         dz  c_          ‰| ¦  «        S ©Nr5   )r¸  )r7   r(   r   s    €€r   r(   z"TestShgoFailures.test.<locals>.fun	  s   ø€ ØˆHŒH˜‰MˆHŒHØ�5˜‘8”8ˆOr   )Úscipy.optimizer   r   r¸  r€   r7   r(   )r   r   r   Úresultr(   r   s       @@r   r¸   zTestShgoFailures.test  s}   øø€ Ø.Ð.Ð.Ð.Ð.Ð.Ð.Ð.Ø9Ð9Ð9ˆð	ð 	ð 	ð 	ð 	ð 	ð ˆŒà��c˜6Ñ"Ô"ˆÝˆfŒh˜œ
 C¤HÑ-Ô-Ð-Ð-Ð-r   N)r    r!   r"   rý  r  r  r  r  r  r  r  r  rì   rí   Úthread_unsafer  r¸   r#   r   r   rù  rù  ž  sË   € € € € € ð-ð -ð -ð3ð 3ð 3ð

.ð 
.ð 
.ð4ð 4ð 4ð;ð ;ð ;ð
;ð ;ð ;ð

4ð 
4ð 
4ð4ð 4ð 4ð
4ð 
4ð 
4ð „[Ôð2ð 2ñ Ôð2ð$.ð .ð .ð .ð .r   rù  c                   ó   — e Zd Zd„ Zd„ ZdS )ÚTestShgoReturnsc                 óœ   ‡— g d¢}ˆfd„Šd‰_         t          ‰|¦  «        }t          j                             ‰j         |j         ¦  «         d S )Nr!  c                 óB   •— ‰xj         dz  c_         t          | ¦  «        S r$  ©r¸  r   ©r7   r(   s    €r   r(   z3TestShgoReturns.test_1_nfev_simplicial.<locals>.fun  ó   ø€ ØˆHŒH˜‰MˆHŒHÝ˜‘8”8ˆOr   r   ©r¸  r   r>   rµ   r—  ©r   r   r&  r(   s      @r   Útest_1_nfev_simplicialz&TestShgoReturns.test_1_nfev_simplicial  sa   ø€ Ø9Ð9Ð9ˆð	ð 	ð 	ð 	ð 	ð ˆŒå�c˜6Ñ"Ô"ˆÝ
Œ
×Ò ¤¨&¬+Ñ6Ô6Ð6Ð6Ð6r   c                 ó    ‡— g d¢}ˆfd„Šd‰_         t          ‰|d¬¦  «        }t          j                             ‰j         |j         ¦  «         d S )Nr!  c                 óB   •— ‰xj         dz  c_         t          | ¦  «        S r$  r,  r-  s    €r   r(   z.TestShgoReturns.test_1_nfev_sobol.<locals>.fun$  r.  r   r   r¥   r   r/  r0  s      @r   Útest_1_nfev_sobolz!TestShgoReturns.test_1_nfev_sobol!  sf   ø€ Ø9Ð9Ð9ˆð	ð 	ð 	ð 	ð 	ð ˆŒå�c˜6°7Ð;Ñ;Ô;ˆÝ
Œ
×Ò ¤¨&¬+Ñ6Ô6Ð6Ð6Ð6r   N)r    r!   r"   r1  r4  r#   r   r   r)  r)    s2   € € € € € ð
7ð 
7ð 
7ð
7ð 
7ð 
7ð 
7ð 
7r   r)  c                  ó�  — d„ } t          | dgdg¦  «        }t          |t          j        ddg¦  «        ¦  «        }t	          t
          ddg|d¬¦  «        }t          j        t          j        |j        dz  ¦  «        dk    ¦  «        sJ ‚t          j        t          j        |j        dz  ¦  «        d	k    ¦  «        sJ ‚|j	        sJ ‚d S )
Nc                 óZ   — t          j        | ¦  «        } t          j        | dz  ¦  «        gS rÖ  ©r>   Úasarrayr?   r@   s    r   Úquadz$test_vector_constraint.<locals>.quad0  ó$   € ÝŒJ�q‰MŒMˆÝ”�q˜A‘v‘”ÐÐr   gš™™™™™@re   r   rò  r¥   r^  r4   r™   )
r   r   r>   r  r   r   Úallr?   r7   r   )r9  ÚnlcÚoldcrº   s       r   Útest_vector_constraintr>  .  sÊ   € ð ð  ð  õ ˜d S E¨A¨3Ñ
/Ô
/€CÝ  ¥b¤h°°S¨zÑ&:Ô&:Ñ;Ô;€Då
�u�w Ð(°dÈGÐ
TÑ
TÔ
T€CÝŒ6•"”&˜#œ% !™Ñ$Ô$¨Ò+Ñ,Ô,Ð,Ð,Ð,ÝŒ6•"”&˜#œ% A™Ñ&Ô&¨#Ò-Ñ.Ô.Ð.Ð.Ð.ØŒ;ÐÐÐÐÐr   zignore:delta_gradc                  óR  — d„ } t          | dgdg¦  «        }ddi}t          t          ddg|d|¬¦  «        }t          j        t          j        |j        d	z  ¦  «        dk    ¦  «        sJ ‚t          j        t          j        |j        d	z  ¦  «        d
k    ¦  «        sJ ‚|j        sJ ‚d S )Nc                 óZ   — t          j        | ¦  «        } t          j        | dz  ¦  «        gS rÖ  r7  r@   s    r   r9  ztest_trust_constr.<locals>.quad?  r:  r   gÍÌÌÌÌÌ@re   rn  ræ  rò  r¥   )r§   r­   r«   r4   r™   )r   r   r   r>   r;  r?   r7   r   )r9  r<  r«   rº   s       r   Útest_trust_constrrA  =  sÉ   € ð ð  ð  õ ˜d S E¨A¨3Ñ
/Ô
/€CØ  .Ð1Ðõ ÝØ	�'ÐØØØ)ðñ ô €Cõ Œ6•"”&˜#œ% !™Ñ$Ô$¨Ò+Ñ,Ô,Ð,Ð,Ð,ÝŒ6•"”&˜#œ% A™Ñ&Ô&¨#Ò-Ñ.Ô.Ð.Ð.Ð.ØŒ;ÐÐÐÐÐr   c                  óÔ  — dgdz  } d„ }t          |dd¦  «        }t          t          | |¬¦  «        }t          t	          j        |j        ¦  «        d¦  «         d„ }d|dœ}t          t          | |¬¦  «        }t          t	          j        |j        ¦  «        d¦  «         d	gd
z  } d„ }d|dœ}t          d„ | |d¬¦  «        }t          t	          j        |j        ¦  «        d¦  «         d S )N)gÍÌÌÌÌÌì?r�   r4   c                 ó$   — | d         | d         z   S rŸ   r#   r@   s    r   Úfaultyz)test_equality_constraints.<locals>.faultyX  s   € Ø�Œt�a˜”d‰{Ðr   ç333333@r  c                 ó*   — | d         | d         z   dz
  S )Nr   r5   rE  r#   r@   s    r   rD  z)test_equality_constraints.<locals>.faulty_  s   € Ø�Œt�a˜”d‰{˜SÑ Ð r   r  r&   rË  rd   c                 óN   — | d         | d         z   | d         z   | d         z   dz
  S rÑ  r#   r@   s    r   rD  z)test_equality_constraints.<locals>.faultyh  s+   € Ø�Œt�a˜”d‰{˜Q˜qœTÑ! A a¤DÑ(¨1Ñ,Ð,r   c                 ó,   — t          j        | ¦  «         S r   )r>   Úprodr@   s    r   r  z+test_equality_constraints.<locals>.<lambda>n  s   € •B”G˜A‘J”J�,€ r   r¥   )r   r§   r­   r   )r   r   r   r   r>   r?   r7   )r   rD  r<  rº   r§   s        r   Útest_equality_constraintsrJ  T  s  € àˆ\˜AÑ€Fðð ð õ ˜f c¨3Ñ
/Ô
/€CÝ
�u˜V°Ð
5Ñ
5Ô
5€CÝ•B”F˜3œ5‘M”M 3Ñ'Ô'Ð'ð!ð !ð !ð  ¨Ð/Ð/€KÝ
�u˜V°Ð
=Ñ
=Ô
=€CÝ•B”F˜3œ5‘M”M 3Ñ'Ô'Ð'àˆZ˜!‰^€Fð-ð -ð -ð  ¨Ð/Ð/€KÝ
ØÐØØØð	ñ ô €Cõ •B”F˜3œ5‘M”M 3Ñ'Ô'Ð'Ð'Ð'r   c                  óÜ   — d„ } | ddœ}dddddœd	œ}t          t          d
gdz  ||¬¦  «        }|j        d                              ¦   «         dk    sJ ‚|j        d         d         dk    sJ ‚d S )Nc                 ó6   — t          j        | dz  ¦  «        dz
  S rƒ  r=   r@   s    r   r.   ztest_gh16971.<locals>.consv  s   € ÝŒv�a˜‘d‰|Œ|˜aÑÐr   r%   )r(   r'   rk  rb   r•   gš™™™™™©?)ÚrhobegÚtolÚcatol)rn  r¬   rò  r4   )r§   r«   rn  Úcobylar¬   rO  )r   r   r«   Úlower)r.   Úcr«   r†   s       r   Útest_gh16971rS  u  s®   € ð ð  ð  ð ˜fÐ%Ð%€AàØ¨°tÐ<Ð<ðð Ðõ
 	Ý�ˆy˜‰{¨Ð<Lð	ñ 	ô 	€Að Ô˜hÔ'×-Ò-Ñ/Ô/°8Ò;Ð;Ð;Ð;ØÔ˜iÔ(¨Ô1°TÒ9Ð9Ð9Ð9Ð9Ð9r   )	r#   r¤   rš   NNNNr¥   r5   )Er³   rõ  Únumpyr>   r‘  Úmultiprocessingr   Únumpy.testingr   r   rì   r   r   r   r%  r   r	   r
   r   r   r   r   r   Úscipy.optimize._constraintsr   Úscipy.optimize._shgor   r   r/   r1   rÁ   rÇ   rÌ   rG   r  rÒ   r×   rR   rÜ   r_   rã   rt   rè   r|   r�   r+   r·  ÚboundsLJr  r“   Úonesr  r—   r  rœ   r  rí   r(  r»   r½   rð   r*  rù  r)  r>  ÚfilterwarningsrA  rJ  rS  r#   r   r   ú<module>r\     s  ðØ €€€Ø 
€
€
€
à Ð Ð Ð Ø €€€Ø  Ð  Ð  Ð  Ð  Ð  Ø 2Ð 2Ð 2Ð 2Ð 2Ð 2Ð 2Ð 2Ø €€€Ø 1Ð 1Ð 1Ð 1Ð 1Ð 1Ð 1Ð 1ðHð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hð Hà =Ð =Ð =Ð =Ð =Ð =Ø %Ð %Ð %Ð %Ð %Ð %ð+ð +ð +ð +ð +ñ +ô +ð +ðð ð ð ð ð ð ð Ð$ñ ô ð ð ˆ+˜g wÐ/Ø"# Q ð)ñ )ô )€à
ˆ+˜f fÐ-Ø"# Q ð)ñ )ô )€à
ˆ+˜l¨LÐ9Ø"# Q ð)ñ )ô )€ðð ð ð ð Ð$ñ ô ð ð ˆ+˜g˜YØ", Ø#/ð #+ "¤(¨Z¨LØ-8¨MØ-7¨LØ-8¨MØ-8¨MØ-7¨LØ-8¨MØ-8¨MØ-8¨MØ-8¨Mð	,;ñ 	#<ô 	#<ð %- B¤Hð .Hð .Hð .Hñ %Iô %Ið!ñ ô €ð. ˆ+˜h˜ZØ", Ø$0 >Ø"* "¤(¨Z¨L¨>Ñ":Ô":Ø$, B¤H¨l¨^Ñ$<Ô$<ð	ñ ô €ð#ð #ð #ð #ð #Ð$ñ #ô #ð #ðJ ˆ+˜g wÐ/Ø",¨jÐ!9Ø#&ðñ ô €ðð ð ð ð Ð$ñ ô ð ðD ˆ+˜i˜]¨QÑ.ð"Lð "Lð "Là#.ðñ ô €ðð ð ð ð Ð$ñ ô ð ð ˆ+˜k¨;Ð7Ø$7Ð#8Ø"&¨Ð!5ð7ñ 7ô 7€ð
ð ð ð ð Ð%ñ ô ð ð< €Øˆ4���T�F˜Q‘J  ¨¡	Ñ*Ô*Ñ+Ô+€à	ˆ˜XØ$( 6Ø!%ð	
ñ 	
ô 	
€ðð ð ð ð Ð$ñ ô ð ð 
ˆ˜X˜L¨1Ñ,Ø"%Ø ' ¤¨¡
¤
¨SÑ 0ð
ñ 
ô 
€ðð ð ð ð Ð(ñ ô ð ð ˆ_ Y°	Ð$:Ø+-¨$Ø),¨c¨
ð4ñ 4ô 4€
ð
ð ð ð ð Ð-ñ ô ð ð0 'Ð&¨w¸Ð.@Ø48Ø26ð)ñ )ô )€ð „×Ò�,ÑÔØ9=Ø;?Ø./ðð ð ñ  ÔððD3)ð 3)ð 3)ð 3)ð 3)ñ 3)ô 3)ð 3)ðtj1ð j1ð j1ð j1ð j1ñ j1ô j1ð j1ðZY&ð Y&ð Y&ð Y&ð Y&ñ Y&ô Y&ð Y&ðzr.ð r.ð r.ð r.ð r.ñ r.ô r.ð r.ðl7ð 7ð 7ð 7ð 7ñ 7ô 7ð 7ð4ð ð ð „×ÒÐ/Ñ0Ô0ðð ñ 1Ô0ðð,(ð (ð (ðB:ð :ð :ð :ð :r   