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    ª3Ih=@  ã                   @   sÂ  d dl mZ d dlmZ d dl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 d dlmZ d dlmZmZmZmZ d d	lmZmZ d d
lmZmZmZ d dl m!Z! d dl"m#Z# d dl$m%Z%m&Z&m'Z'm(Z( d dl)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/ d dl0m1Z1m2Z2m3Z3m4Z4 	 edddZ5edddZ6dZ7dd„ Z8e4dd„ ƒZ9dd„ Z:e4dd„ ƒZ;dd„ Z<e1dd „ ƒZ=d!d"„ Z>e1d#d$„ ƒZ?d%d&„ Z@d'd(„ ZAd)d*„ ZBd+d,„ ZCd-d.„ ZDd/d0„ ZEd1d2„ ZFd3d4„ ZGd5d6„ ZHd7d8„ ZId9d:„ ZJd;d<„ ZKd=d>„ ZLd?d@„ ZMdAdB„ ZNdCdD„ ZOdEdF„ ZPdGdH„ ZQdIdJ„ ZRdKdL„ ZSdMdN„ ZTdOdP„ ZUdQdR„ ZVdSdT„ ZWe1dUdV„ ƒZXdWdX„ ZYdYdZ„ ZZd[d\„ Z[d]d^„ Z\d_d`„ Z]dadb„ Z^dcdd„ Z_dedf„ Z`e1dgdh„ ƒZadidj„ Zbdkdl„ Zcdmdn„ Zddodp„ Zedqdr„ ZfdsS )té    )Ú
EulerGamma)ÚFunction)ÚEÚIÚIntegerÚRationalÚooÚpi)ÚS)ÚSymbol)ÚexpÚlog)Úsqrt)ÚacotÚatanÚcosÚsin)ÚEiÚerf)ÚdigammaÚgammaÚloggamma)Úzeta)Úcancel)ÚcoshÚcothÚsinhÚtanh)ÚcompareÚmrvÚrewriteÚmrv_leadtermÚgruntzÚsign)ÚXFAILÚraisesÚskipÚslowÚxT)ÚrealÚmFc                   C   s   t stdƒ d S d S )Nr'   )Úrunslowr&   © r,   r,   ú^/home/air/sanwanet/gpt-api/venv/lib/python3.10/site-packages/sympy/series/tests/test_gruntz.pyÚ_sskip#   s   ÿr.   c                   C   sö  t ttƒtdt tt ƒ ƒtdt ƒ  ttƒdksJ ‚t ttƒtdt tt ƒ ttd  ƒ ƒtdt tttƒ ƒ ƒ  ttƒdksHJ ‚t ttttt ƒ ƒddt   ƒtttƒƒ ttƒtu sgJ ‚t tttttt ƒ ƒƒƒttttƒƒƒ ttƒtu s„J ‚t ttttƒƒƒtttttttƒ ƒ ƒƒƒ ttƒtu s£J ‚t ttttƒƒƒttttttttƒƒ ƒ ƒƒƒ ttƒdksÄJ ‚t tttƒƒtttttttƒƒ ƒ ƒƒ ttƒdksáJ ‚t ttƒd ttttƒƒtttƒƒd  tttttƒƒƒttttƒƒƒd  ƒ ƒ ttƒ ttƒdksJ ‚t tttƒ ttttƒ td  ƒd  tttd dttdtd  ttƒ ƒƒ  ƒƒ ttƒtddƒksPJ ‚t tttt ƒ tt ƒtdtd  td  ƒ  ƒttƒ t ttƒtdƒ ks|J ‚t dt dt  dt  ttƒdks‘J ‚t ttttttdƒttƒ  ƒ ƒ ttƒtu s¬J ‚t ttdttd t ƒ tttƒƒ ƒƒttdttƒ tttƒƒ ƒƒ ttƒtu sÙJ ‚t tttddƒttd	d
ƒ  tddƒttddƒ   dtd   tddƒttddƒ   ƒƒd ttttddƒttd	dƒ  ƒ ƒƒtd
dƒ  ttƒtu s*J ‚t tdt tt ƒ dttƒ dtdtd  td  ƒ   ƒttƒ ttƒd  ttƒdks\J ‚t tttt ƒ tt ƒtdtd  td  ƒ  ƒttƒ ttƒdksƒJ ‚t ttƒtttƒtttƒƒ ƒtttƒƒ  tttƒttttƒƒƒ ƒ ttƒdks°J ‚t tttttttƒtttƒƒ ƒ ƒƒtttttƒt ttƒ ƒƒƒ ƒttƒtksÝJ ‚t tttttt ƒ ƒƒƒtttƒƒ ttƒtu sùJ ‚d S )Né   éÿÿÿÿé   é   r   éþÿÿÿé   é
   éûÿÿÿé   é   é   é   é   iøÿÿÿé6   é   é1   é-   é   é   )r"   r   r(   r   r   r   r   r   r,   r,   r,   r-   Útest_gruntz_evaluation(   s²   :*ÿÿÿ>:.ÿÿ2ÿÿ:(&ÿÿþ
þ(.ÿÿ
ÿ@ÿ
ÿ*6(ÿÿ
ÿ4
ÿÿÿ.þþ
þF
ÿÿ
ÿB
ÿ,ÿÿ
ÿ&ÿÿ
ÿ<rB   c                
   C   s  t ƒ  tttttƒddt   ƒƒttttƒddt  ttƒttƒ    ƒƒ ttƒt u s1J ‚tttt dtt ƒ  ƒƒtt dtt dtt ƒ  ƒ  ƒ ttt tt dtt ƒ  ƒ ƒƒ tt dtt ƒ  ƒd  ttƒ t ttƒdksJ ‚d S ©Nr/   r1   )r.   r"   r   r(   r   r   r,   r,   r,   r-   Útest_gruntz_evaluation_slowa   s*   ,ÿÿÿB$ÿþþþþþrD   c                   C   s|  t ttƒtdt tt ƒ ƒtdt ttd  ƒ ƒ  ttƒdks$J ‚t tttttƒ ƒ ƒttƒ tttƒƒ ttd ƒ ttƒdttƒ ksKJ ‚t tttƒƒttdt tttƒ ƒ ƒƒttdt ƒƒ  ttƒdkspJ ‚t ttƒtttt ƒ ƒttƒ  ttƒtu s‰J ‚t ttt	t	tƒƒƒƒt ttƒtt
ddƒƒks¢J ‚t ttt	ttƒƒƒƒt ttƒtt
ddƒƒks»J ‚t t	t	t	tƒƒƒttƒtu sËJ ‚t tttƒƒttƒtu sÙJ ‚t ttdttƒ  ƒttƒ ttƒ tdt ƒ t ttƒ ttƒt
ddƒksJ ‚t tttdttƒ  ƒttƒ ttƒ  ttƒtjks!J ‚t ttdttƒ  ƒttƒ ttƒ ttƒdks<J ‚d S )Nr/   r1   r3   r0   )r"   r   r(   r   r   r   r   r	   r   r   r   r   r   r   r
   ÚHalfr,   r,   r,   r-   Útest_gruntz_eval_speciall   s:   H6ÿ
ÿ:ÿÿ222 0ÿÿÿ
ÿ.
ÿ:rF   c                   C   sŒ   t ƒ  tttd ƒtdt ƒ tt ƒtttj  tttj  d    tt	ƒt	u s,J ‚ttttt
t
t
tƒƒƒƒƒƒt tt	ƒdksDJ ‚d S )Nr/   r1   é   r   )r.   r"   r   r(   r   r	   r   r
   rE   r   r   r,   r,   r,   r-   Útest_gruntz_eval_special_slow€   s   (ÿÿÿ4rH   c                   C   sH   t ƒ  tttttt ƒ ƒtdt ƒ ƒtttƒƒ ttƒtu s"J ‚d S ©Nr/   )r.   r"   r   r   r(   r   r,   r,   r,   r-   Ú,test_grunts_eval_special_slow_sometimes_fail‡   s   BrJ   c                   C   sL   t tttttƒ ƒ ƒttƒ tt ƒ tttƒƒ t ttƒdks$J ‚d S )Nr0   )r"   r   r(   r   r   r,   r,   r,   r-   Útest_gruntz_EiŽ   s   LrK   c                   C   sH   t ttdƒd t ƒtttt ƒ ƒttƒ  ttƒtdƒ ks"J ‚d S )Nr1   r/   )r"   r   r   r(   r   r   r,   r,   r,   r-   Útest_gruntz_eval_special_fail’   s
   0ÿÿrL   c                   C   sb  t ttƒttƒtu sJ ‚t ttƒtt ƒtu sJ ‚t ttƒttƒtu s%J ‚t ttƒtt ƒt u s3J ‚t dttƒ ttƒ ttƒtu sEJ ‚t dttƒ ttƒ tt ƒdksXJ ‚t dttƒ ttƒ ttƒtu sjJ ‚t dttƒ ttƒ tt ƒdks}J ‚t ttƒttƒdks‰J ‚t ttƒtt ƒdks–J ‚t ttƒttƒdks¢J ‚t ttƒtt ƒdks¯J ‚d S )Nr1   r/   r0   )r"   r   r(   r   r   r   r   r   r,   r,   r,   r-   Útest_gruntz_hyperbolic›   s   $&$&rM   c                   C   sÄ  t dttƒdks
J ‚t tttƒtƒdksJ ‚t ttƒttd ƒtƒdks&J ‚t ttd ƒtttƒƒtƒdks8J ‚t dtttƒƒtƒdksFJ ‚t tdtƒdksPJ ‚t ttƒttƒdks\J ‚t ttd ƒttƒtƒdkslJ ‚t tttƒƒttd ƒtƒdks~J ‚t tttƒƒdtƒdksŒJ ‚t ddtƒdks–J ‚t ddtƒdks J ‚t ddtƒdksªJ ‚t ttd tƒdks¶J ‚t td td tƒdksÄJ ‚t td dt tƒdksÒJ ‚t dt tt tƒdksàJ ‚t tt t tƒdksíJ ‚t ttƒtt ƒtƒdksüJ ‚t tt ƒtdt ƒtƒdksJ ‚t tdt ƒttƒd tƒdks!J ‚t ttƒd tttt ƒ ƒtƒdks7J ‚t ttƒtttt ƒ ƒtƒdksKJ ‚t ttd ƒdttd ƒ tƒdks`J ‚d S )Nr1   ú<r/   ú>r2   ú=r6   )r   r(   r   r*   r,   r,   r,   r-   Útest_compare1ª   s0    $ $$&,(.rQ   c                   C   s^  t ttƒtd tƒdksJ ‚t ttd ƒttƒd tƒdks J ‚t ttƒtttt ƒ ƒtƒdks3J ‚t tttt ƒ ƒttƒtƒdksFJ ‚t tttt ƒ ƒtt ƒtƒdksZJ ‚t tt ƒttƒdksgJ ‚t ttt ƒtƒdkstJ ‚t ttdt  ƒttƒdks„J ‚t tttƒ ƒttƒtƒdks•J ‚t ttttƒ ƒt ƒtttƒ ƒtƒdks­J ‚d S )Nr4   rO   r1   rP   rN   r/   ©r   r   r(   r,   r,   r,   r-   Útest_compare2Ê   s   $&&( "4rS   c                   C   s2   t tttƒƒtttttƒ ƒ ƒtƒdksJ ‚d S )NrO   rR   r,   r,   r,   r-   Útest_compare3×   s   2rT   c                   C   s6  t tdƒtƒdksJ ‚t tdƒtƒdksJ ‚t tdƒtƒdks!J ‚t ttƒtƒdks,J ‚t tt ƒtƒdks8J ‚t ttƒtƒdksCJ ‚t ttƒ tƒdksOJ ‚t ddt  tƒdks\J ‚t ddt  tƒdksiJ ‚t tdt ƒtƒdksvJ ‚t ttdƒ tƒdksƒJ ‚t td tƒdksŽJ ‚t td tƒdks™J ‚d S )	Nr   r2   r/   r6   r0   éýÿÿÿr1   r4   )r#   r   r(   r   r   r   r   r,   r,   r,   r-   Ú
test_sign1Û   s   rV   c                  C   sŠ   t ttƒdks	J ‚t t tƒdksJ ‚tddd} t | tƒdks"J ‚t |  tƒdks,J ‚t | t tƒdks7J ‚t |  t tƒdksCJ ‚d S )Nr/   r0   ÚyT©Úpositive)r#   r(   r   ©rW   r,   r,   r-   Ú
test_sign2ë   s   r[   c                 C   s   t t| |ƒd  ¡ ƒS ©Nr   )Úsetr   Úkeys)ÚaÚbr,   r,   r-   Úmmrvõ   ó   ra   c                   C   s  t ttƒthks
J ‚t tdt  tƒthksJ ‚t td tƒthks$J ‚t ttƒtƒthks0J ‚t ttƒtƒttƒhks>J ‚t tt ƒtƒtt ƒhksNJ ‚t ttd ƒtƒttd ƒhks`J ‚t tdt ƒ tƒthksoJ ‚t ttdt  ƒtƒttdt  ƒhks…J ‚d S rC   )ra   r(   r   r   r,   r,   r,   r-   Ú	test_mrv1ù   s    $0rc   c                   C   s˜   t tttttƒ ƒ ƒtƒtttƒ ƒhksJ ‚t tttt ƒ ƒtƒtttt ƒ ƒtt ƒhks4J ‚t tdt tt ƒ ƒtƒtt ƒhksJJ ‚d S rI   ©ra   r   r(   r,   r,   r,   r-   Ú
test_mrv2a  s   080re   c                   C   s4   t ttttd  ƒ ƒtƒttd  ƒhksJ ‚d S )Nr1   rd   r,   r,   r,   r-   Ú
test_mrv2b  s   4rf   c                   C   sX   t tt dtd   ƒttdt  ƒ tƒttdt  ƒtdtd  t ƒhks*J ‚d S rC   rd   r,   r,   r,   r-   Ú
test_mrv2c  s
   &ÿ"ÿrg   c                	   C   s   t ttd ƒtttƒ  ttƒt t  tƒttd ƒhks J ‚t ttƒtdt tt ƒ ƒtdt ƒ  tƒttƒtt ƒhksCJ ‚t ttd dttdtd  ttƒ ƒƒ  ƒtƒttdtd  ttƒ ƒƒhksmJ ‚t ttttƒ ƒttƒ tƒthksJ ‚t tdt tt ƒ ƒtdt ƒ ttƒ tƒttƒtt ƒhks¤J ‚t dtt tt ƒ ƒ ttƒ tƒttƒtt ƒtttt ƒ ƒhksÊJ ‚t tttttttƒ ƒ d ƒƒtƒttttƒ ƒhksèJ ‚t tttttƒdt  ƒƒƒtƒthksþJ ‚d S )Nr1   r/   r2   )ra   r   r(   r   r,   r,   r,   r-   Ú	test_mrv3  s4   @*ÿÿ&ÿÿÿ(*ÿÿ ÿ ÿ<0rh   c                  C   s¸   t } t| | tƒ| | tƒƒ ƒ| | tƒƒ | | tƒ| | | tƒƒƒ ƒ | tƒ tƒthks.J ‚tt t tttttƒ ƒ d ƒƒttt t tƒdt  ƒƒƒ tƒttttƒ ƒhksZJ ‚d S rI   )r   ra   r(   r   )Úlnr,   r,   r-   Ú	test_mrv4)  s   Hÿÿ@ÿrj   c                 C   s   t | d | d ||ƒS ©Nr/   r   )r    )r_   r`   Úcr,   r,   r-   Úmrewrite1  rb   rm   c                  C   s   t tƒ} tt| tƒttƒdt t fksJ ‚t td ƒ} tt| tƒttƒdt td  fks0J ‚t tdt  ƒ} tt| tƒttƒdt t dt  fksNJ ‚dt t t t ƒ ƒ t tƒ } tt| tƒttƒt t tƒ t t t ƒ td  t fks~J ‚d S rC   ©r   r(   rm   r   r*   ©Úer,   r,   r-   Útest_rewrite15  s   $(, Drq   c                  C   s`   t tƒttt tƒƒƒ } t| tƒt tƒhksJ ‚tt| tƒttƒdt ttƒ t fks.J ‚d S rI   )r   r(   r   ra   rm   r   r*   ro   r,   r,   r-   Útest_rewrite2@  s   0rr   c                  C   s¢   t t dtd   ƒt tdt  ƒ } tt| tƒttƒdt tt td t td  ƒ  t dt  ftd t td t td  ƒ t td t ffv sOJ ‚d S )Nr/   r1   r0   r2   r3   rn   ro   r,   r,   r-   Útest_rewrite3H  s   &ÿÿ.ÿrs   c                   C   s”   t tdt ƒ tƒdksJ ‚t dtt tt ƒ ƒ ttƒ tƒdks%J ‚t tdt tt ƒ ƒtdt ƒ ttƒ tƒtdt ƒ dfksHJ ‚d S )Nr/   )r0   r   r   )r!   r   r(   r,   r,   r,   r-   Útest_mrv_leadterm1O  s   .*ÿÿrt   c                   C   sB   t tttƒt ƒt tttƒttƒ ƒ ttƒ tƒdksJ ‚d S )N)r/   r   )r!   r   r   r(   r,   r,   r,   r-   Útest_mrv_leadterm2V  s   4ÿru   c                   C   sŠ   t tt tt ƒtt ttƒ ƒ  ƒtƒtt tttƒ  ƒhks$J ‚ttt tt ƒtt ttƒ ƒ  ƒtƒtt ƒdfksCJ ‚d S r\   )ra   r   r(   r   r!   r,   r,   r,   r-   Útest_mrv_leadterm3\  s   HBrv   c                   C   sD  t tttƒtu s
J ‚t ttt ƒt u sJ ‚t t ttƒt u s"J ‚t td tt ƒtu s/J ‚t td  ttƒt u s=J ‚t tttƒ tddddksMJ ‚t dt ttƒdksYJ ‚t ttƒttƒtu seJ ‚t ttƒ ttƒt u ssJ ‚t ttƒt ttƒtu sJ ‚t dt tt ƒ ttƒdks’J ‚t tdt  ttƒtu s J ‚d S )Nr1   r   ú+©Údirr/   )r"   r(   r   r   r   r,   r,   r,   r-   Útest_limit1b  s    " rz   c                   C   s  t tt tddddksJ ‚t ttƒd t tdƒdksJ ‚t ddt  ttƒdks,J ‚t tdt ƒ ttƒdks;J ‚t ttt ƒ ttƒtu sJJ ‚t tttd  ƒ ttƒtu s[J ‚t ttttƒ ƒ ttƒtu slJ ‚t ddt  tt ƒ ttƒdksJ ‚d S )Nr   rw   rx   r/   r0   r1   é   )r"   r(   r   r   r,   r,   r,   r-   Útest_limit2q  s    ""*r|   c                  C   sœ   t dƒ} tttdttƒ ƒ ttƒdksJ ‚ttt| ttƒ ƒ ttƒdks(J ‚tttƒdttƒ  ttƒdks:J ‚tttƒ| ttƒ  ttƒdksLJ ‚d S )Nr_   r/   r   )r   r"   r(   r   r   r   )r_   r,   r,   r-   Útest_limit3|  s
   $$$(r}   c                   C   sX   t dt dt  dt  ttƒdksJ ‚t ddt  ddt   t tdƒdks*J ‚d S )Nr2   r4   r/   r   ©r"   r(   r   r,   r,   r,   r-   Útest_limit4„  s   (0r   c               	   C   sš   t t dt t ƒ  ƒ} t | ƒt t d|   ƒ t t t |  ƒƒ | d  t tƒ t }t|tƒd|  t t ƒt tƒt t|  ƒt td|   ƒhksKJ ‚d S rC   )r   r(   ra   )ÚhÚexprr,   r,   r-   Útest_MrvTestCase_page47_ex3_21‹  s   @Br‚   c                  C   s    t dƒ} ttt ttƒtt ksJ ‚t| t t ttƒ| t t ks$J ‚t| d t t ttƒ| t t ks8J ‚t| d ttƒ t ttƒ| t t ksNJ ‚d S )NrW   r2   )r   r"   r   r(   r   r   rZ   r,   r,   r-   Útest_gruntz_I’  s
   $(0rƒ   c                   C   s,   t td dttd ƒ  ttƒtksJ ‚d S rI   )r"   r(   r   r   r   r,   r,   r,   r-   Útest_issue_4814š  ó   ,r„   c                   C   s  t dttƒ ttƒdksJ ‚t dttƒ ttƒdksJ ‚t ttƒttƒ ttƒtu s,J ‚t tttƒƒttƒ ttƒtu s>J ‚t ttƒtdƒdksJJ ‚t ttddƒdt  ƒttƒttddƒƒksbJ ‚t ttt ƒtttƒƒ ttƒdksvJ ‚t ttttƒƒƒttƒ ttƒtu sŠJ ‚d S )Nr/   r   r2   r1   r7   )r"   r   r(   r   r   r   r   r   r,   r,   r,   r-   Útest_intractablež  s    $0(,r†   c                   C   s^   t tdtttƒƒ ttƒdttƒttjƒ   ƒdksJ ‚tdt	tƒ tt ƒt u s-J ‚d S rk   )
r   r"   r   r   r(   r   r	   r
   rE   r   r,   r,   r,   r-   Útest_aseries_trig©  s   ÿÿ$r‡   c                   C   s,   t ttttttƒ ƒƒ ttƒtu sJ ‚d S )N)r"   r(   r   r   r   r,   r,   r,   r-   Útest_exp_log_series¯  r…   rˆ   c                   C   s<   t td t d dt td   dt  ttƒdksJ ‚d S )Nr7   r/   r1   r0   r~   r,   r,   r,   r-   Útest_issue_3644³  s   <r‰   c                  C   s^   t dddd} | d t| d   t| d  d  ttd   }t|tdƒ ¡ | d ks-J ‚d S )NÚnT)ÚintegerrY   r/   r1   )r   r(   r"   Úsimplify)rŠ   Úrr,   r,   r-   Útest_issue_6843·  s   0 rŽ   c                   C   s&   t ttdt ƒ ttƒtjksJ ‚d S rI   )r"   r(   r   r   r
   r   r,   r,   r,   r-   Útest_issue_4190½  s   &r   c                  C   s  t dƒ} t ddd}t dƒ}t ddd}t ddd}d	|  | | d
  | || | d
    | |d
 | | | d	  | || | d
    |   |  | | |   }| ||d
 ¡}t| ||¡| tƒd
ksfJ ‚t| ||¡| tƒ ¡ d	|d
  | d
 |d
 |d
   ks†J ‚d S )NrŠ   r   TrX   rl   Úpr*   )Únegativer1   r/   )r   Úsubsr"   r   rŒ   )rŠ   r   rl   r   r*   r   r,   r,   r-   Útest_issue_5172Á  s"   *.ÿÿ
ÿ"ÿr“   c                   C   s<   t dttƒ tdƒdksJ ‚t tttƒ tdƒdksJ ‚d S rk   )r"   r   r(   r,   r,   r,   r-   Útest_issue_4109Ñ  s    r”   c                   C   s6   t tdtt ƒ ƒtd  tdƒtdt ƒksJ ‚d S )Nr1   r   )r"   r   r   r(   r   r,   r,   r,   r-   Útest_issue_6682Ö  s   6r•   c                  C   s<   ddl m}  ttt  tdddt| dt  ƒ ksJ ‚d S )Nr   ©r#   ú-rx   r0   )Úsympy.functionsr#   r"   r(   r	   r   r–   r,   r,   r-   Útest_issue_7096Ú  s   0r™   c                      s0   t dƒ‰ tt‡ fdd„ƒ tt‡ fdd„ƒ d S )NÚfc                      s   t ˆ tƒtdƒS )Nr@   ©r"   r(   r,   ©rš   r,   r-   Ú<lambda>â  s    z&test_issue_7391_8166.<locals>.<lambda>c                      s,   t tˆ tƒd  td ˆ tƒd   tdƒS )Nr1   r@   r   r›   r,   rœ   r,   r-   r   ã  s   , )r   r%   Ú
ValueErrorr,   r,   rœ   r-   Útest_issue_7391_8166ß  s   rŸ   c                  C   sX   t tƒddt  td   } ttƒ}t| ttƒ|ksJ ‚td|  ttƒd| ks*J ‚d S rC   )r   r(   r   r   r"   r   )ÚeqÚansr,   r,   r-   Útest_issue_24210_25885æ  s    r¢   N)gÚ
sympy.corer   Úsympy.core.functionr   Úsympy.core.numbersr   r   r   r   r   r	   Úsympy.core.singletonr
   Úsympy.core.symbolr   Ú&sympy.functions.elementary.exponentialr   r   Ú(sympy.functions.elementary.miscellaneousr   Ú(sympy.functions.elementary.trigonometricr   r   r   r   Ú'sympy.functions.special.error_functionsr   r   Ú'sympy.functions.special.gamma_functionsr   r   r   Ú&sympy.functions.special.zeta_functionsr   Úsympy.polys.polytoolsr   Ú%sympy.functions.elementary.hyperbolicr   r   r   r   Úsympy.series.gruntzr   r   r    r!   r"   r#   Úsympy.testing.pytestr$   r%   r&   r'   r(   r*   r+   r.   rB   rD   rF   rH   rJ   rK   rL   rM   rQ   rS   rT   rV   r[   ra   rc   re   rf   rg   rh   rj   rm   rq   rr   rs   rt   ru   rv   rz   r|   r}   r   r‚   rƒ   r„   r†   r‡   rˆ   r‰   rŽ   r   r“   r”   r•   r™   rŸ   r¢   r,   r,   r,   r-   Ú<module>   s      

8


 


