o
    à8Va™;  ã                   @   s<  d dl mZmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZ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 d dlmZmZmZm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&„ Z0d'd(„ Z1d)d*„ Z2d+d,„ Z3d-d.„ Z4d/d0„ Z5d1d2„ Z6d3d4„ Z7d5d6„ Z8d7d8„ Z9d9d:„ Z:d;d<„ Z;d=d>„ Z<d?d@„ Z=dAdB„ Z>dCdD„ Z?dEdF„ Z@dGdH„ ZAdIdJ„ ZBdKdL„ ZCdMdN„ ZDdOdP„ ZEdQdR„ ZFdSdT„ ZGdUdV„ ZHdWdX„ ZIdYdZ„ ZJd[d\„ ZKd]d^„ ZLd_d`„ ZMdadb„ ZNdcdd„ ZOdedf„ ZPdgdh„ ZQdidj„ ZRdkdl„ ZSdmdn„ ZTdoS )pé    )ÚSymbolÚRationalÚOrderÚexpÚlnÚlogÚnanÚooÚOÚpiÚIÚSÚIntegralÚsinÚcosÚsqrtÚ	conjugateÚexpandÚ	transposeÚsymbolsÚFunctionÚAdd)Ú	unchanged)Úraises)ÚwÚxÚyÚzc                   C   s.   t tƒ t tdt tdƒ tdƒ  tƒ d S )Néÿÿÿÿé   é   )r
   r   r   r   © r!   r!   ú?/usr/lib/python3/dist-packages/sympy/series/tests/test_order.pyÚtest_caching_bug	   s   &r#   c                   C   sv   t dƒjtƒ ks
J ‚t tƒjthksJ ‚t dtƒjthksJ ‚t tt ƒjtthks,J ‚t tttƒjtthks9J ‚d S ©Né   )r   Zfree_symbolsÚsetr   r   r!   r!   r!   r"   Útest_free_symbols   s
   r'   c                  C   s¼  t dƒ} tdt ƒttƒksJ ‚ttƒd ttƒksJ ‚dttƒ ttƒks(J ‚tttƒƒttƒks4J ‚tttƒtƒtttƒttƒksEJ ‚tdƒtdƒksOJ ‚tttƒƒtdtƒks\J ‚ttdt ƒƒjtdt ƒksmJ ‚tttdt ƒ ƒjttdt ƒ ks‚J ‚tt| d  ƒjt| d  ks“J ‚tt| t ddƒ  ƒjt| t ddƒ  ksªJ ‚ttd t t tƒtdtƒks¼J ‚ttd t t tƒtdtƒksÎJ ‚ttdd	„ ƒ tt	d
d	„ ƒ d S )Nr   é   r   éäÿÿÿiéÿÿÿr%   r    c                   S   s   t ttƒttƒS ©N)r   r   r   r!   r!   r!   r"   Ú<lambda>(   s    ztest_simple_1.<locals>.<lambda>c                   S   s   t tdt ƒS ©Nr(   ©r   r   r!   r!   r!   r"   r+   )   s    )
r   r   r   r   r   Úexprr
   r   Ú
ValueErrorÚ	TypeError)Úor!   r!   r"   Útest_simple_1   s    ""*".$$r2   c                   C   sÈ   t dt ƒt t td ƒksJ ‚t dt ƒt t dtƒksJ ‚t dt ƒt tdt ƒ t td tdt ƒ ƒks;J ‚t dt ƒt tdt ƒ ttƒd  jtd tdt ƒ ttƒd  ksbJ ‚d S )Nr(   r%   r   éýÿÿÿ)r   r   r   r   r.   r!   r!   r!   r"   Útest_simple_2,   s    8Rr4   c                   C   sØ   t tƒt t tƒksJ ‚t tƒd dt tƒ ksJ ‚t tƒtd  t tƒks(J ‚t tƒdt  dt t tƒ ks:J ‚t dt ƒdtd   dtd  t dt ƒ ksTJ ‚t tƒtdt ƒ t tƒtdt ƒ ksjJ ‚d S ©Nr(   r%   ©r   r   r   r!   r!   r!   r"   Útest_simple_33   s   $40r7   c                   C   s    t tƒd t td ƒksJ ‚d S r,   r-   r!   r!   r!   r"   Útest_simple_4<   s    r8   c                   C   sl   t tƒt td ƒ t tƒksJ ‚t tƒt td ƒ t td ƒks"J ‚t tƒt dt ƒ t dt ƒks4J ‚d S )Nr(   éþÿÿÿr%   r-   r!   r!   r!   r"   Útest_simple_5@   s    $(r:   c                   C   s  t tƒt tƒ t tƒksJ ‚t tƒt dƒ t dƒksJ ‚t tƒt td ƒ t tƒks,J ‚t dt ƒt dƒ t dt ƒks>J ‚t tƒt tdt ƒƒ t tdt ƒƒksTJ ‚t td ƒt tdt ƒƒ t tdt ƒƒkslJ ‚t td ƒt tdt ƒƒ t tdt ƒƒks„J ‚d S )Nr%   r(   r   r3   r6   r!   r!   r!   r"   Útest_simple_6F   s    $,04r;   c                   C   sp   dt dƒ t dƒksJ ‚dt dƒ t dƒksJ ‚tt dƒ t dƒks$J ‚dt t dƒ dt t dƒ ks6J ‚d S ©Nr%   r(   )r
   r   r!   r!   r!   r"   Útest_simple_7P   s   (r=   c                   C   sà   t tt ƒƒt ttƒƒksJ ‚t td ttƒ ƒt ttddƒ ƒks$J ‚t td tt d  ƒ ƒt ttddƒ ƒks=J ‚t ttddƒ tt d ƒ ƒt td ƒksUJ ‚t tdt td   ƒt tt td   ƒksnJ ‚d S )Nr(   r    r   é	   r9   )r
   r   r   r   r   r!   r!   r!   r"   Útest_simple_8W   s
   *206r?   c                   C   s¨   t tƒ d ¡ttdfffksJ ‚t tƒ tdff¡ttdfffks#J ‚t tƒ tdff¡ttdftdfffks9J ‚t tƒ tdftdff¡ttdftdfffksRJ ‚d S ©Nr   )r   r   Zas_expr_variablesr   r!   r!   r!   r"   Útest_as_expr_variables_   s    &,6rA   c                   C   sR   t dtƒ t dtƒ¡sJ ‚t dtƒ t dƒ¡sJ ‚t dƒ t dtƒ¡du s'J ‚d S )Nr%   F)r   r   Úcontainsr!   r!   r!   r"   Útest_contains_0f   s    rC   c                   C   st  t tƒ t tƒ¡sJ ‚t tƒ t td ƒ¡sJ ‚t td ƒ t tƒ¡r%J ‚t tƒ t dt ƒ¡r2J ‚t dt ƒ t tdt ƒƒ¡rCJ ‚t tƒ t tdt ƒƒ¡rRJ ‚t dt ƒ t tƒ¡s_J ‚t tdt ƒƒ t tƒ¡snJ ‚t tdt ƒƒ t dt ƒ¡sJ ‚t tdt ƒƒ t tdt ƒƒ¡s’J ‚t tdt ƒƒ t tdt ƒƒ¡s¥J ‚t tdt ƒƒ t tdt ƒƒ¡r¸J ‚d S r5   )r   r   rB   r   r!   r!   r!   r"   Útest_contains_1l   s   ""&&*rD   c                   C   sŠ   t tƒ t tƒ¡d u sJ ‚t tƒ t tt ƒ¡sJ ‚t tt ƒ t tƒ¡s'J ‚t tƒ t tt ƒ¡s4J ‚t tƒ t td t ƒ¡sCJ ‚d S r,   )r   r   rB   r   r!   r!   r!   r"   Útest_contains_2{   s
   "rE   c                   C   sX   t ttd  ƒ t td t ƒ¡d u sJ ‚t td t ƒ t ttd  ƒ¡d u s*J ‚d S r,   )r   r   r   rB   r!   r!   r!   r"   Útest_contains_3ƒ   s   *.rF   c                   C   sh   t tdtd  ƒƒ t tdtd  ƒƒ¡du sJ ‚t tdtd  ƒƒ t tdtd  ƒƒ¡du s2J ‚d S )Nr%   r(   T)r   r   r   rB   r   r!   r!   r!   r"   Útest_contains_4ˆ   s   26rG   c                   C   s>   t dtƒt dƒvsJ ‚t dƒt dtƒv sJ ‚ttdd„ ƒ d S )Nr%   c                   S   s    t ttd  ƒt td t ƒv S r,   ©r   r   r   r!   r!   r!   r"   r+      s     ztest_contains.<locals>.<lambda>)r   r   r   r0   r!   r!   r!   r"   Útest_contains   s   rI   c                   C   sú   t tt ƒt tƒksJ ‚t dt dtd   ƒt tƒksJ ‚t dt ƒt dtƒks+J ‚t ddt  ƒt dt ƒks;J ‚t ttƒdttƒ  ƒt ttƒƒksOJ ‚t tdt ƒt ƒt tdt ƒƒkscJ ‚t tdt ƒdtd   ƒt tdt ƒƒks{J ‚d S )Nr   r(   r%   é   )r   r   r   r   r!   r!   r!   r"   Ú
test_add_1“   s   $ ((4rK   c                   C   s”   t ttƒƒt tdt ƒƒ t ttƒƒksJ ‚t ttƒƒt ttd ƒƒ t ttƒƒks,J ‚t ttt ƒƒt ttƒttƒ ƒ t ttt ƒƒksHJ ‚d S )Nr(   r   )r
   r   r   r   r!   r!   r!   r"   Útest_ln_args   s   ,,<rL   c                   C   s  t tt ƒjtt ksJ ‚t ttd  ƒjttd  ksJ ‚t tt tƒjtks*J ‚t ttd  tƒjtd ks:J ‚t tt t ƒjtt t ksKJ ‚t tt ƒjtt ksXJ ‚t ttdt ƒ ƒjttdt ƒ ksmJ ‚t ttƒtdt ƒ ƒjttƒtdt ƒ ks†J ‚d S r5   )r   r   r   r.   r   r   r!   r!   r!   r"   Útest_multivar_0£   s   " "*6rM   c                   C   s>   t tdt ƒtdt ƒ ƒjtdt ƒtdt ƒ ksJ ‚d S r$   )r   r   r   r   r.   r!   r!   r!   r"   Útest_multivar_0a®   s   >rN   c                   C   sÔ   t tt ƒjtt ksJ ‚t tdt  ƒjtt ksJ ‚t tt ƒt jtt ks+J ‚t tt ƒtd  t tt ƒks=J ‚t tt ƒdt  dt t tt ƒ ksSJ ‚t td tt  ƒjtd tt  kshJ ‚d S r5   ©r   r   r   r.   r!   r!   r!   r"   Útest_multivar_1²   s   $,.rP   c                   C   sB   t td t td t  ttƒjtd t td t  ksJ ‚d S r,   rO   r!   r!   r!   r"   Útest_multivar_2»   s   BrQ   c                   C   s0   t tt ƒt t td tt  ttƒksJ ‚d S r,   rH   r!   r!   r!   r"   Útest_multivar_mul_1¿   s   0rR   c                   C   sø   t tƒt tƒ jt tƒt tƒft tƒt tƒffv sJ ‚t tƒt tƒ t tt ƒ t tt ƒks1J ‚t td t ƒt td t ƒ jt ttd  ƒt ttd  ƒft ttd  ƒt ttd  ƒffv sdJ ‚t td t ƒt tt ƒ t tt ƒkszJ ‚d S r,   )r   r   r   Úargsr!   r!   r!   r"   Útest_multivar_3Ã   s   
þ, 
þ0rT   c                  C   s^   t ddd} t ddd}ttƒ t| ƒ t|ƒ tjd u sJ ‚| jdu s&J ‚|jd u s-J ‚d S )Nr   T)Únegativer   )ÚcomplexF)r   r   r   Zis_positive)r   r   r!   r!   r"   Útest_issue_3468Î   s   rW   c                   C   sþ   t d dt d    t ¡dt d  tdt d  ƒffksJ ‚ddt    t ¡dt  tdt  ƒffks4J ‚dt   t ¡dtdt ƒffksEJ ‚dt d   t ¡dtdt ƒffksXJ ‚dt d   t ¡dtdt ƒffkskJ ‚t t d   t ¡t tt ƒffks}J ‚d S )Nr%   r    r(   )r   Úextract_leading_orderr
   r!   r!   r!   r"   Útest_leading_orderÜ   s   <,"&&(rY   c                   C   sˆ   t dt td   t¡ƒttdtƒftdƒtdtƒfhksJ ‚t dt tt  td   t¡ƒdt ttƒftt ttƒfhksBJ ‚d S r5   )r&   r   r   rX   r
   r   r!   r!   r!   r"   Útest_leading_order2å   s   $
ÿ.ÿrZ   c                   C   s&   t td ƒ t¡t td ƒksJ ‚d S r,   )r
   r   Z_eval_as_leading_termr!   r!   r!   r"   Útest_order_leadtermì   s   &r[   c                  C   s^   t t tt ƒ tt t ddfƒ } t| ƒtt d t t tƒks J ‚t| t ƒtt d ƒks-J ‚d S r<   )r   r   r   r   r
   )Úer!   r!   r"   Útest_order_symbolsð   s     r]   c                   C   s&   t tƒtu sJ ‚t tƒ t¡rJ ‚d S r*   )r
   r   r   rB   r!   r!   r!   r"   Útest_nanö   s   r^   c                   C   s:   t dtƒt t tƒksJ ‚t dtƒt t dtƒksJ ‚d S r$   )r
   r   r   r!   r!   r!   r"   Útest_O1û   s    r_   c                   C   s‚   t tƒ ¡ dks
J ‚t tttƒ ƒ ¡ dksJ ‚t td ttƒd  ƒ ¡ dks*J ‚t tttƒ ƒ ¡ dks8J ‚ttdd„ ƒ d S )Nr%   r(   c                   S   ó   t tƒt tƒ  ¡ S r*   ©r
   r   r   Úgetnr!   r!   r!   r"   r+     ó    ztest_getn.<locals>.<lambda>)r
   r   rb   r   r   ÚNotImplementedErrorr!   r!   r!   r"   Ú	test_getn   s
   $re   c                   C   s"   t td ƒ t¡t tƒksJ ‚d S r,   )r
   r   Zdiffr!   r!   r!   r"   Ú	test_diff	  s   "rf   c                   C   sª   t  ¡ d u sJ ‚t  ¡ t ksJ ‚tt ƒ ¡ tt ƒksJ ‚tt ƒ ¡ dks&J ‚ttt ƒ ttƒ  ¡ tt ƒttƒ ks<J ‚ttt ƒ ttƒ  ¡ tksLJ ‚ttdd„ ƒ d S )Nr   c                   S   r`   r*   ra   r!   r!   r!   r"   r+     rc   ztest_getO.<locals>.<lambda>)r   ZgetOZremoveOr
   r   r   r   rd   r!   r!   r!   r"   Ú	test_getO  s   , rg   c                  C   s8   ddl m}  td| dt ƒ ƒtdttƒ ƒksJ ‚d S )Nr   ©Údigammar%   )Úsympyri   r
   r   r   rh   r!   r!   r"   Útest_leading_term  s   ,rk   c                   C   s–   t tƒ t tƒd¡dksJ ‚t tƒ tt¡t tƒksJ ‚t tƒ tt¡t tƒks*J ‚t tƒ ttt ¡t tt tt fƒks@J ‚tdƒt jsIJ ‚d S r$   )r   r   Úsubsr   r
   Zis_Powr!   r!   r!   r"   Ú	test_eval  s
   ,rm   c                  C   s  t dƒ\} }t| | |ƒtd| |ƒ td| |ƒksJ ‚t|| |ƒtd| |ƒ td| |ƒks.J ‚t| | | |ƒtd| |ƒ td| |ƒksDJ ‚td| |ƒt| | |ƒ td| |ƒksXJ ‚td| |ƒt|| |ƒ td| |ƒkslJ ‚td| |ƒt| | | |ƒ td| |ƒks‚J ‚d S )Nza br%   )r   r
   )ÚaÚbr!   r!   r"   Útest_issue_4279$  s   ((,((0rp   c                  C   sˆ   dt dƒ t dƒksJ ‚dt tƒ t dt ƒksJ ‚dt tttfƒ t dt ttfƒks.J ‚tdƒ} dt | tƒƒ t dt ƒksBJ ‚d S )Nr%   Úf)r
   r   r	   r   )rq   r!   r!   r"   Útest_issue_4855.  s
   ($rr   c                  C   s  t ddd} t ddd}tt| ƒƒtt| ƒƒksJ ‚tt|ƒƒtt|ƒƒks(J ‚tt| d ƒƒtt| ƒd ƒks:J ‚tt|d ƒƒtt|ƒd ƒksLJ ‚tt| ƒƒtt| ƒƒksZJ ‚tt|ƒƒtt|ƒƒkshJ ‚tt| d ƒƒtt| ƒd ƒkszJ ‚tt|d ƒƒtt|ƒd ƒksŒJ ‚d S )Nr   T)Úrealr   )Z	imaginaryr(   )r   r   r   r   )r   r   r!   r!   r"   Útest_order_conjugate_transpose7  s   $$$(rt   c                  C   s  t ddd} t| | t  tƒtdtƒksJ ‚| | t  ttƒ ttƒks&J ‚| t ttƒ ttd tƒks7J ‚tdttƒ |  |  t ƒ| |  t ttd tƒ ksTJ ‚t| |  ttƒ t ƒ| |  t ttd tƒ ksoJ ‚t| ttƒ |  t ƒ| |  t ttd tƒ ksŠJ ‚d S )NÚAF)Zcommutativer%   r(   )r   r   r   r   )ru   r!   r!   r"   Útest_order_noncommutativeD  s     ":6:rv   c                   C   s(   dt d  d tt ƒ tt ƒksJ ‚d S )Nr%   r(   i'  )r   r
   r!   r!   r!   r"   Útest_issue_6753N  s   (rw   c                   C   s$  t dt ttfƒt tttfƒksJ ‚t dt ttfƒt tttfƒks$J ‚t tttfƒd t tttfƒks6J ‚dt tttfƒ t tttfƒksHJ ‚t t tttfƒttfƒt tttfƒks]J ‚t t tttfƒttfƒt tttfttfƒksuJ ‚t dttfƒt dttfƒks…J ‚t td t t ttfƒttd ttfƒksJ ‚t td t t ttfƒttttfƒks³J ‚t dt ttfƒt t td ttfƒksÉJ ‚t dt ttfƒt t dttfƒksÝJ ‚t dt ttfƒt tdt ƒ t td tdt ƒ ttfƒksÿJ ‚t dt ttfƒt tdt ƒ ttƒd  t td tdt ƒ ttƒd  ttfƒks.J ‚t tttfƒdt  dt t tttfƒ   krRt tttfƒksUJ ‚ J ‚t tttfƒd dt tttfƒ   krut tttfƒksxJ ‚ J ‚t tttfƒt tt tttfƒ   kr˜t tttfƒks›J ‚ J ‚t tttfƒtd  td t tttfƒ ks´J ‚t dt ttfƒdtd   dtd  t dt ttfƒ   krât dt ttfƒksåJ ‚ J ‚t tttfƒtdt ƒ tdt ƒt tttfƒ ksJ ‚t tttfƒd t td ttfƒksJ ‚t tttfƒt td ttfƒ t td ttfƒks3J ‚t tttfƒt td ttfƒ t tttfƒksMJ ‚t tttfƒt dt ttfƒ t tttfƒksgJ ‚t tttfƒt tttfƒ t tttfƒksJ ‚t tttfƒt dttfƒ t tttfƒks—J ‚t tttfƒt td ttfƒ t td ttfƒks³J ‚t dt ttfƒt dttfƒ t dttfƒksÍJ ‚t tttfƒt tdt ƒttfƒ t tttfƒkséJ ‚t td ttfƒt tdt ƒttfƒ t td ttfƒks	J ‚t td ttfƒt tdt ƒttfƒ t tdt ƒttfƒks+J ‚t ttƒttfƒjt dttƒ ttfƒj  krLttƒksOJ ‚ J ‚t tt ttfƒjt dtt  ttfƒj  krttttƒt ƒkswJ ‚ J ‚t dt ddt d   ttfƒjtd ksJ ‚d S )Nr%   r   r)   r(   r3   r9   )	r   r   r	   r   r
   r   r   r.   r   r!   r!   r!   r"   Útest_order_at_infinityR  sB   $$$$*0 0,,(D^NFF2b:*84400848@DHP6rx   c                   C   s¾   t ttdfƒt tttfƒ jsJ ‚t ttdfƒt tttfƒ t tttfƒt ttdfƒ ks/J ‚t t tttfƒƒt tttfƒksAJ ‚ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ d S )Nr   c                   S   s   t ttdfƒt tttfƒ S r@   ©r   r   r	   r!   r!   r!   r"   r+   „  ó    z8test_mixing_order_at_zero_and_infinity.<locals>.<lambda>c                   S   s   t tttfƒt ttdfƒ S r@   ry   r!   r!   r!   r"   r+   …  rz   c                   S   s   t t tttfƒtƒS r*   )r   r   r	   r   r!   r!   r!   r"   r+   †  rc   c                   S   s   t t tƒttfƒS r*   ry   r!   r!   r!   r"   r+   ‡  s    )r   r   r	   Úis_Addr   rd   r!   r!   r!   r"   Ú&test_mixing_order_at_zero_and_infinity~  s   "<$r|   c                   C   sä   t ttdfƒt dtdfƒksJ ‚t dt d tdfƒt td tdfƒks&J ‚t t d tdfƒt td tdfƒks;J ‚t td tdfƒd t td d tdfƒksSJ ‚t td tdfƒttd tdfƒ t td tdfƒkspJ ‚d S r<   )r   r   r
   r!   r!   r!   r"   Útest_order_at_some_pointŠ  s
    ,*0>r}   c                   C   sÜ   dt tƒ  tdt ¡dt dt ttfƒ ksJ ‚dt tƒ  td¡dks'J ‚tt td ƒ t  td¡dks9J ‚t td ƒ ttd ¡t td d tdfƒksRJ ‚t dtd  tdfƒ ttd ¡t dtdfƒkslJ ‚d S )Nr%   r   r(   é
   r   )r   r   rl   r	   Úlimitr   r!   r!   r!   r"   Útest_order_subs_limits’  s
   2$28r€   c                   C   s4   t tƒ tdd¡t dƒttd tdfƒ ksJ ‚d S )Nr~   r%   )r   r   Zseriesr   r!   r!   r!   r"   Útest_issue_9351  s   4r   c                   C   s<   t dƒt dƒ t dƒksJ ‚t dƒt dƒ t dƒksJ ‚d S r$   )r
   r!   r!   r!   r"   Útest_issue_9192¡  s    r‚   c                   C   s<   t tttƒ ttƒ ttfƒt tttƒ ttfƒksJ ‚d S r*   )r
   r   r   r   r	   r!   r!   r!   r"   Útest_issue_9910¦  s   <rƒ   c                  C   sH   t dd„ tdƒD ƒƒ} |  ttd ƒ¡ t| Ž  td¡tdƒks"J ‚d S )Nc                 s   s    | ]}t | V  qd S r*   )r   )Ú.0Úir!   r!   r"   Ú	<genexpr>«  s   € z3test_performance_of_adding_order.<locals>.<genexpr>iè  ié  r%   )ÚlistÚrangeÚappendr
   r   r   rl   )Úlr!   r!   r"   Ú test_performance_of_adding_orderª  s    r‹   c                   C   s  t d t d  t d  tt d t tfƒ  ¡ t d t d  t d  tt d t tfƒ t d	 fks2J ‚t d
 tt d t tfƒ jsBJ ‚tt d t tfƒ t d
 ¡du sTJ ‚tt t tfƒ tt t dfƒ¡d u sgJ ‚tt t dfƒ tt t tfƒ¡d u szJ ‚ttdd„ ƒ d S )Néüÿÿÿr3   r   iúÿÿÿé   r    é   r(   é   r   Fr   c                   S   s   t td ƒ tt ¡S )Nr   )r
   r   rB   r   r!   r!   r!   r"   r+   ¶  s    z"test_issue_14622.<locals>.<lambda>)r   r
   r	   Zas_numer_denomr{   rB   r   rd   r!   r!   r!   r"   Útest_issue_14622¯  s   ,.
ÿ $&&r   c                   C   sð   t dtd  dtd   tt fƒt dtd  tt fƒks J ‚t dtd  ttƒ tt fƒt dtd  tt fƒks>J ‚t dtd  tt ƒ tt fƒt tt ƒtt fƒks\J ‚t dt ttfƒ tt ¡t dt tt fƒksvJ ‚d S )Nr%   r(   r   r   )r
   r   r	   r   rl   r!   r!   r!   r"   Útest_issue_15539¹  s   @<<8r‘   c                   C   s   t tdƒsJ ‚d S r@   )r   r   r!   r!   r!   r"   Útest_issue_18606¿  s   r’   N)Urj   r   r   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   Zsympy.core.exprr   Zsympy.testing.pytestr   Z	sympy.abcr   r   r   r   r#   r'   r2   r4   r7   r8   r:   r;   r=   r?   rA   rC   rD   rE   rF   rG   rI   rK   rL   rM   rN   rP   rQ   rR   rT   rW   rY   rZ   r[   r]   r^   r_   re   rf   rg   rk   rm   rp   rr   rt   rv   rw   rx   r|   r}   r€   r   r‚   rƒ   r‹   r   r‘   r’   r!   r!   r!   r"   Ú<module>   sr   ` 	

			

	
,
