U
    ZÊ¹jJ@  ã                   @   sT  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l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mZmZ d d	lmZ d d
lm Z m!Z! d dl"m#Z# d dl$m%Z% d dl&m'Z'm(Z(m)Z)m*Z* d dl+m,Z, d dl-m.Z. dd„ Z/dd„ Z0dd„ Z1dd„ Z2dd„ Z3dd„ Z4dd„ Z5dd„ Z6d d!„ Z7d d"l8m9Z9m:Z: d d#l;m<Z< d d$lm=Z= d%d&„ Z>d'd(„ Z?d)d*„ Z@d+d,„ ZAd-d.„ ZBd/d0„ ZCd1d2„ ZDd3d4„ ZEd5d6„ ZFd7d8„ ZGd9d:„ ZHd;d<„ ZId=d>„ ZJd?d@„ ZKdAdB„ ZLdCdD„ ZMdEdF„ ZNdGdH„ ZOdIdJ„ ZPdKdL„ ZQdMdN„ ZRdOdP„ ZSdQdR„ ZTdSdT„ ZUdUdV„ ZVdWdX„ ZWdYdZ„ ZXd[d\„ ZYd]d^„ ZZd_S )`é    )ÚN)Ú
DerivativeÚFunctionÚ	PoleErrorÚSubs)ÚEÚFloatÚRationalÚooÚpiÚI)ÚS)ÚSymbolÚsymbols)ÚLambertWÚexpÚlog)Úsqrt)ÚatanÚcosÚsin)Úgamma)ÚIntegralÚ	integrate)ÚO)Úseries)ÚxÚyÚnÚk)Úraises)Ú
EulerGammac                  C   s0   t tƒ td¡} tt tƒtdƒ}| |ks,t‚d S ©Nr   )r   r   r   ÚAssertionError©Úe1Úe2© r'   ú]/var/www/html/bwave/python/venv/lib/python3.8/site-packages/sympy/series/tests/test_series.pyÚtest_sin   s    r)   c                  C   s0   t tƒ td¡} tt tƒtdƒ}| |ks,t‚d S r"   )r   r   r   r#   r$   r'   r'   r(   Útest_cos   s    r*   c                  C   s0   t tƒ td¡} tt tƒtdƒ}| |ks,t‚d S r"   )r   r   r   r#   r$   r'   r'   r(   Útest_exp   s    r+   c                  C   s8   t ttƒƒ td¡} tt ttƒƒtdƒ}| |ks4t‚d S r"   )r   r   r   r   r#   r$   r'   r'   r(   Ú	test_exp2$   s    r,   c                     s   t dtƒdkst‚ttj t¡ƒdks*t‚ttƒ  ¡ ttƒ  t¡ksHt‚tt	dd„ ƒ tt	dd„ ƒ ttƒ  td¡ttd ƒ  t¡ 
ttd ¡  ¡ dksžt‚ttƒj tdd d�‰ ‡ fdd„td	ƒD ƒtdƒtd tdƒ  gksæt‚ttƒj tdd d
d�‰ ‡ fdd„td	ƒD ƒtdƒdt tdƒ gk�s0t‚ttƒj tdd
d�tk�sNt‚ttƒj tdd
dd� ¡ ttt d   tt d d	  d	  k�s–t‚t} | td	 td td	   td	tdƒ  t¡ ¡ dt t k�sÚt‚t| ttƒtƒ ¡ ƒ| dtƒk�s t‚| ttƒtƒj dd�| dtƒ| ttƒ | td	 d	 tƒ | td d tƒ ttd ƒ k�s`t‚tttddftdtfƒ  t¡ddt  k�s�t‚dt ttd	 ƒ  ¡ d	k�s²t‚dt  ¡ d k�sÈt‚ttdd„ ƒ tdƒ}ttƒt jtd|d�tt| ƒtttt| ƒ tƒ k�st‚tdt ƒj ttdd�dt ddtd    ttd ttfƒ k�sft‚ttƒj ttddd�tk�s†t‚ttƒj tt dd
d�t k�sªt‚tt ƒj ttddd�tk�sÌt‚tt ƒj tt dd
d�t k�sòt‚ttttƒ ƒj dd�dtttƒ  td	 ttƒd	  d	  ttd ttƒd  ƒ k�sPt‚tddd�}tt|ƒd t|ƒ ƒj dd�d|tdƒ t|ƒ  t|d t|ƒd  ƒ k�s²t‚tttƒttƒ ƒj d	d�dtttƒ  ttd	 ttƒd	  ƒ k�süt‚d S )Né   r   c                   S   s   t tt ƒ ¡ S ©N)r   r   r   r   r'   r'   r'   r(   Ú<lambda>.   ó    z!test_issue_5223.<locals>.<lambda>c                   S   s   t jdd�S )NÚ ©Údir)r   r   r'   r'   r'   r(   r/   /   r0   ©r   c                    s   g | ]}t ˆ ƒ‘qS r'   ©Únext©Ú.0Úi©Úer'   r(   Ú
<listcomp>4   s     z#test_issue_5223.<locals>.<listcomp>é   ú-)r   r3   c                    s   g | ]}t ˆ ƒ‘qS r'   r5   r7   r:   r'   r(   r<   6   s     r2   é   )r3   r   é   é   éüÿÿÿé   c                   S   s   dt tƒ t  ¡ S ©Nr-   )r   r   r
   r   r'   r'   r'   r(   r/   G   r0   Úlogx)r   rE   é   éûÿÿÿú+ÚpT©Zpositivez3/2)r   r   r#   r6   r   ZZeroZlseriesr   r    Ú
ValueErrorÚsubsÚremoveOÚranger   Úabsr   r   r   r   Údoitr   r   Zgetnr   r   Znseriesr
   r   r   )ÚDrE   rI   r'   r:   r(   Útest_issue_5223*   sd    ÿÿ44&ÿ
@& ÿÿBÿ
0" ÿ
H $"&>ÿ
.ÿ
rR   c                  C   sò  t tttd dt   ƒtdtfdd�} |  tdd¡dtdƒd   tdƒ ttdƒd ƒd  ttdƒd ƒ dt	 ttdƒd    tdƒt ttdƒ d ƒ ttdƒ d ƒ dt	   dtdƒd  tdƒ ttdƒd   ttdƒ d ƒ ttdƒd ƒ ttdƒd ƒ dt	   dtdƒd  tdƒ ttd	ƒd   ttdƒd ƒd  ttdƒd ƒ d
t	   dtdƒd  tdƒ ttdƒd   ttdƒ d ƒ ttdƒd ƒ ttdƒd ƒ dt	   t
td ƒ k�sît‚d S )Nr?   r   Únone)Zcondséÿÿÿÿr=   r-   rA   rF   rC   é   é   )r   r   r   r   r
   r   r   r   r   r   r   r#   ©Úexprr'   r'   r(   Útest_issue_6350\   s    (`6ÿ`þRý`ü
ürY   c                   C   s®  t ttƒtƒ t¡ttƒ t¡ks&t‚tttƒtƒjtdd� ¡ ttƒjtdd�ksXt‚ttd tƒ t¡dtd  ks|t‚ttd t	ƒ t¡dks˜t‚tttƒtƒ t¡dks´t‚tttƒtƒ t¡t ksÒt‚tdtƒ t¡tdtƒksðt‚tt
tƒtƒ t¡ ¡ t
tƒ t¡k�st‚dt t
tƒtƒ t¡ t
tƒ t¡k�sHt‚tttƒtƒ t¡ ¡ dt  t¡k�stt‚t ttƒtƒ t¡t ttƒtƒ ¡  t¡ ¡ k�sªt‚d S )Nr?   r4   r=   r   r-   )r   r   r   r   r   r#   r   rP   Úas_leading_termr   r   r   rM   r'   r'   r'   r(   Útest_issue_11313e   s    &2$,,,r[   c                     s¾  ddl m‰  tttƒttƒ} tttƒtˆ ƒ ttƒ}tttˆ  ƒtˆ fttfƒ}|  t¡| ksbt‚ttttƒttd  d ttƒ ttd d ttƒ t	td ƒ }|  ¡ |ks´t‚|  t¡|ksÆt‚|  ˆ ¡| ksØt‚| ˆ ¡tˆ d ttƒ d ttƒtˆ d	  ttƒ d	 ttƒ tttƒttƒ t	ˆ d ƒ k�s>t‚| t¡ 
¡ | 
¡  t¡k�s`t‚| ˆ ¡ 
¡ ttt ƒk�s€t‚tt‡ fd
d„ƒ ttt tˆ ƒ t¡ 
¡ tˆ  k�sºt‚d S )Nr   ©Úzr?   rA   rF   éx   rC   é   r=   c                      s   t tdt  tˆ ƒ ¡ S )Nr=   )r   r   r   r   r'   r\   r'   r(   r/   ‹   r0   z%test_series_of_Subs.<locals>.<lambda>)Ú	sympy.abcr]   r   r   r   r   r   r   r#   r   rP   r    rK   )Zsubs1Zsubs2Zsubs3Zsubs1_seriesr'   r\   r(   Útest_series_of_Subsy   s0     ÿ
ÿ"ÿÿ
ÿ" ra   c                  C   sú  t dƒ} | tƒjtdddd�| dƒttt| tƒtƒtdƒ  td tt| tƒttƒtdƒ d  ttd ƒ kstt‚| tƒ tdd¡| dƒttt| tƒtƒtdƒ  td tt| tƒttƒtdƒ d  ttd ƒ ksÜt‚| td ƒ tdd¡| dƒtd tt| tƒtƒtdƒ  ttd ƒ k�s*t‚| td d ƒ tdd¡| dƒtd tt| tƒtƒtdƒ  ttd ƒ k�s|t‚G dd	„ d	t ƒ}|tƒ tdd¡|dƒttt|tƒtƒtdƒ  td tt|tƒttƒtdƒ d  ttd ƒ k�söt‚d S )
NÚfr   r?   r>   r2   r=   r-   c                   @   s   e Zd ZdS )ztest_issue_3978.<locals>.TestFN)Ú__name__Ú
__module__Ú__qualname__r'   r'   r'   r(   ÚTestFœ   s   rf   )r   r   r   r   r   r   r#   )rb   rf   r'   r'   r(   Útest_issue_3978�   s:     "ÿ
ÿÿ "ÿ
ÿÿ0ÿ
0ÿ
ÿ"þ
þrg   )Ú
richardsonÚshanks)ÚSum)ÚIntegerc                  C   s¸   ddt   t  } tt| t ddƒ ¡ dƒtt ¡ dƒks:t‚ttdƒtd  t tdt fƒ}tt	|t dƒ ¡ dƒtt
dƒ ¡ dƒks†t‚tt	|t ddƒ ¡ dƒtt
dƒ ¡ dƒks´t‚d S )	Nr-   é
   é   rT   é   rC   r=   rF   )r   Úroundrh   Zevalfr   r#   rj   rk   r   ri   r   )r;   ÚAr'   r'   r(   Útest_acceleration¨   s
    * ,rq   c                   C   sh   t dttttƒ ƒ tdƒdtd dttƒd    dtd  dttƒd    ttd ƒ ksdt‚d S )Nr-   r   r=   rF   rC   r_   rA   )r   r   r   r   r   r#   r'   r'   r'   r(   Útest_issue_5852±   s
    4ÿ
ÿrr   c                   C   s¦   t dt td  ƒ tdd¡t dƒttdƒ  td tdƒ t dƒd    td t dƒ tdƒd    td dt dƒ d	 tdƒd    ttd ƒ ks¢t‚d S )
Nr-   r=   r   rF   r?   rA   rC   iõÿÿÿr_   )r   r   r   r   r   r#   r'   r'   r'   r(   Útest_issue_4583¶   s    .ÿÿ"þ
þrs   c                  C   s,   dt  tddƒ } | d  t ¡| ks(t‚d S )Nr-   r=   r?   )r   r	   rZ   r#   ©Úeqr'   r'   r(   Útest_issue_6318¼   s    rv   c                  C   s0   t d tddƒ } |  ¡ t tddƒ ks,t‚d S )Nr=   r?   rC   )r   r	   r   r#   rt   r'   r'   r(   Útest_x_is_base_detectionÁ   s    rw   c                   C   sD   t ttƒttdƒdtt d d  ttt d ttfƒ ks@t‚d S )Nr?   rT   r=   )r   r   r   r   r   r#   r'   r'   r'   r(   Útest_issue_7203Æ   s    (ÿrx   c                  C   sÎ   t ddd�\} }| | }tt|ƒ|dd�d| |  | d |d  d  | d |d  d	  | d
 |d
  d  | d |d  d  | d	 |d	  d  | d |d  d  t| d |d  | |ƒ ksÊt‚d S )Nza, bTrJ   rV   r4   r-   r=   r?   rA   rC   r_   rF   r^   éÐ  rU   é°  )r   r   r   r   r#   )ÚaÚbr   r'   r'   r(   Ú!test_exp_product_positive_factorsË   s    .ÿÿÿÿþþr}   c                   C   s   t ddd�dkst‚d S )Nr-   rV   r4   )r   r#   r'   r'   r'   r(   Útest_issue_8805Ó   s    r~   c                  C   sj   t d t  d t d t d   } t| t tƒt d dt d   t d  dt   tt d t tfƒ ksft‚d S )Nr=   r-   r?   rG   rC   éýÿÿÿéúÿÿÿ)r   r   r
   r   r#   ©r   r'   r'   r(   Útest_issue_9549×   s     r‚   c                   C   sH   t dtd td   tdƒtd td  td  ttd ƒ ksDt‚d S )	Nr-   éþÿÿÿr   r   r?   rC   rF   rA   )r   r   r   r#   r'   r'   r'   r(   Útest_issue_10761Ü   s    r„   c                  C   s¨   ddt d ddt    d   tdƒd  } | jt ddd�ddt d   dt d   d	t d   d
t d   dt d   dt d   dt d   tt d ƒ ks¤t‚d S )Nr-   r=   rC   rV   r   é   r4   rA   é"   é˜   rl   iÊ  r@   i�  é   i¦C  é   )r   r   r   r   r#   r�   r'   r'   r(   Útest_issue_12578à   s    ,L
ÿ
ÿ
ÿrŠ   c                  C   sp  t ddd�} t ddd�\}}| d  | t|ƒ | d t|ƒ  | | t|ƒ  | t|ƒ  |  d | t|ƒ d d  }ddt|ƒ d	 d  d
t|ƒ dt|ƒ d	 d   | d d| td| ƒ dt|ƒ  d
td| ƒ  d  dt|ƒ d	 d dt|ƒ d	    d
| t|ƒ dt|ƒ d	 d   t| tj d | tjfƒ }| | dd¡ ¡ |k�slt‚d S )NÚbetaTrJ   ztheta varphi©Úrealr=   r-   ç      à?ç      ð?g      Ð?g      Ð¿g      ø?g      ô?)	r   r   r   r   r   ZHalfr   Ztrigsimpr#   )r‹   ÚthetaZvarphirX   Zsolr'   r'   r(   Útest_issue_12791æ   s6    $ÿ
ÿÿÿÿ6$ÿÿ"ÿÿ"ýür‘   c                     s¬   t dƒ\‰ } tˆ |  ˆ ƒˆ |  ks&t‚tˆ d|   ˆ ƒˆ d|   ksHt‚tt| tˆ ƒ ƒˆ ƒt| tˆ ƒ ƒksrt‚tt‡ fdd„ƒ tt‡ fdd„ƒ tt‡ fdd„ƒ d S )Nzx arƒ   c                      s   t ˆ t ˆ ƒS r.   ©r   r   r'   ©r   r'   r(   r/   û   r0   z"test_issue_14384.<locals>.<lambda>c                      s   t ˆ td  ˆ ƒS rD   r’   r'   r“   r'   r(   r/   ü   r0   c                      s   t tttˆ ƒ ƒˆ ƒS r.   )r   r   r   r   r'   r“   r'   r(   r/   ý   r0   )r   r   r#   r   r   r    r   )r{   r'   r“   r(   Útest_issue_14384ö   s    "*r”   c                   C   s²   t ttddƒ ttƒ tdƒttddƒ dttƒ  ttƒd  ttddƒ d  ttddƒ d  ttd	dƒ d
  ttddƒ d  ttddƒ d  ttd ƒ ks®t‚d S )Nr   r=   r   r-   r?   rA   rF   r_   rU   r^   é	   ry   é   rz   )r   r   r	   r   r   r   r#   r'   r'   r'   r(   Útest_issue_14885   s    4
ÿÿÿÿþþ
þr—   c                   C   s´   t ttƒtt ƒddtd   ddtd    dt  td  ttd tt fƒ ksZt‚t ttƒttƒddtd   ddtd    dt  td  ttd ttfƒ ks°t‚d S )NrT   rF   r-   r?   r=   r€   )r   r   r   r
   r   r   r#   r'   r'   r'   r(   Útest_issue_15539  s    >ÿ
<ÿr˜   c                   C   sæ   t ttƒtƒttd  dtd  d  dtd  d  dtd  d  ttd ƒ ksZt‚t ttd ƒtdd	�td td  dtd  d  ttd ƒ ks t‚t tttƒƒtdd	�ttd  dtd  d  ttd ƒ ksât‚d S )
Nr=   r?   rV   rC   é}   rF   r_   rA   r4   )r   r   r   r   r#   r   r'   r'   r'   r(   Útest_issue_7259  s    ZFrš   c                   C   s6   t tƒjtddd�t dƒttd tdfƒ ks2t‚d S )Nr-   r4   )r   r   r   r   r#   r'   r'   r'   r(   Útest_issue_11884  s    r›   c                  C   sž   t dt dt     dt dt    dt  dt     } | jt tdd�ddt d   ddt d    dd	t    tdƒd  t d  tt d
 t tfƒ ksšt‚d S )Nr-   rC   r4   i÷ÿÿÿé    r?   r‰   r=   rV   rB   )r   r   r
   r   r   r#   r�   r'   r'   r(   Útest_issue_18008  s    4Lÿr�   c                  C   s>   t tdt  ƒ} | jtddd� ¡  ¡ tdƒ d ks:t‚d S )Nr-   g�•C‹lß?r4   l   «Iÿè l     ÁoäŽ )r   r   r   rM   Z	nsimplifyr   r#   )rb   r'   r'   r(   Útest_issue_18842  s    ÿrž   c                  C   sˆ  t ddd�} d|  d|  d|  d  d|   d  d	 d
|  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|   | dtdƒd    d  d  d
|  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|   d   d|   | tdƒd d   d  d  | d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|   d   d |  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|  d|  d|  d  d|  d|  d|  d  d|   d   d|   d   d|   d   d!|   d   d"|   d  d#  | d#  d$ }t| | d%d&¡d#ƒtd'd(d)� | d*  td+d(d)�| d,   td-d(d)�| d.   td/d(d)�| d0   td1d(d)�| d2   td3d(d)�| d4   td3d(d)�|   td3d(d)� k�s„t‚d S )5NÚdtTrŒ   r‰   g      À?g       @r�   g      ì?é-   é1   g«PFvB©¿gI€¼´ØñÒ?gwkN„À?gh/¡½„ö²?gh/¡½„öÒ?g	í%´—Ðî?gI­À§¨pª?rŽ   é   rˆ   é´   gaþ’«AÎ¿gžóiñç?giÕñõ/ì?gÏ¥;}Ÿî @gýÀv§Q¶Ì?gííýoÂ÷ò?gUUUUUUå?g¯‘Á@g?“¼¨br@gF)š7^@g~½Új`î?g‡»~ìÖ?g#§¡–¨@rm   r-   r   rV   z0.00092592592592592596126289éF   )Ú	precisionrU   z0.0027777777777777783174695rA   z0.016666666666666656027029rF   z0.083333333333333300951828rC   z0.33333333333333337034077r?   z1.0r=   )r   r   r   r   r   r#   )rŸ   rX   r'   r'   r(   Útest_issue_19534"  s"   *&ÿ&ÿþþþüûûûÿ&ÿ&ÿþþþ&ÿ&ÿþþþüüû
ö
ö
ö
öú&ÿ&ÿþþþ&ÿ&ÿþþþüüû
&ÿ&ÿþþþ&ÿ&ÿþþþüüû
ö
ööìììï%Û%Û'ÿþýüûú
ùÿr¦   c                  C   sˆ   t dƒ\} }}}tt| | ||  ƒ|ddƒt| | ƒt|ƒ ksFt‚tt| | | ||  ƒ|ddƒt| | | ƒt|ƒ ks„t‚d S )Nza b c xr   r-   )r   r   r   r   r#   )r{   r|   Úcr   r'   r'   r(   Útest_issue_11407W  s    6r¨   c                   C   s8   t td ƒtd  jtdd�dt tdtƒ ks4t‚d S )Né2   é3   r   r4   r-   )r   r   r   r   r#   r'   r'   r'   r(   Útest_issue_14037]  s    r«   c                     sJ   t tƒt jtd d�‰ ‡ fdd„tdƒD ƒ} | dt dtd gksFt‚d S )Nr4   c                    s   g | ]}t ˆ ƒ‘qS r'   r5   r7   rW   r'   r(   r<   c  s     z$test_issue_20551.<locals>.<listcomp>r?   r-   r=   )r   r   r   rN   r#   )Ztermsr'   rW   r(   Útest_issue_20551a  s    r¬   c                  C   sÔ   t dƒ\} }}}}}}| |||t  t  t  d||t  || ||  |d   t |d | || |  ||| |d    |d   t   }|jtdd� ¡ |td  |t  | ttd ƒ ksÐt‚d S )Nzp_0 p_1 p_2 p_3 b_0 b_1 b_2r-   r=   r?   r4   )r   r   r   Zratsimpr   r#   )Zp_0Zp_1Zp_2Zp_3Zb_0Zb_1Zb_2ÚQr'   r'   r(   Útest_issue_20697g  s"    ,ÿÿÿÿÿÿþr®   c               	   C   sÈ   dt dƒ d } ddt td    td|  d¡ ¡ ddt dƒ  dt  dt dƒ t  ttddt dƒ   d tddt dƒ  fƒ dt dƒ dd	t dƒ  d  tt dƒt  d   ksÄt‚d S )
Nr-   rF   r=   i4íÿÿih  i–  iò  rm   r•   )r   r   r   Úfactorr   r#   )Úfir'   r'   r(   Útest_issue_21245o  s    $&,ÿ
ÿÿÿÿr±   c                  C   sv   t dt tt ƒ ƒt dt ƒ } |  tt¡ddtd   ddtd    d ttd ttfƒ tt ƒ ksrt‚d S )Nr-   r_   rC   r=   r€   )r   r   r   r   r
   r   r#   rW   r'   r'   r(   Útest_issue_21938w  s    "r²   c                  C   s<   dt dtd  ƒ } |  td¡}|jr4t|jƒdks8t‚d S )Nr-   r=   rŽ   rU   )r   r   r   Úis_AddÚlenÚargsr#   )rX   Úresultr'   r'   r(   Útest_issue_23432|  s    r·   c                  C   s*   t tdtd  ƒtdƒ} | jdks&t‚d S )Nr-   r=   gš™™™™™¹?T)r   r   r   r³   r#   )Úresr'   r'   r(   Útest_issue_23727‚  s    r¹   c                
   C   s  t t t dt d  ƒ tdd¡ddt t t  dtd  td   ttd ƒ ks\t‚t t t dt d  ƒtdt ƒ  tdd¡dttdt t    td td  d dtd  d  dt t t    ttd ƒ ksêt‚dt t t dt d    tdd¡t td d tt t	dƒ  ƒttd t td d tt t	dƒ  ƒ dt t t td d tt t	dƒ  ƒ t	dƒ    ttd ƒ k�s¤t‚dt t dt d    tdd¡t t t t	dƒ ƒdt t t t t t t	dƒ ƒ t	dƒ  ttd ƒ k�st‚t
tt dt d    tdd¡t tt t	t
ƒ ƒdt t t t tt t	t
ƒ ƒ t	t
ƒ  ttd ƒ k�s’t‚tt
 tt dt d    tdd¡t tt t	tt
 ƒ ƒdt t t t tt t	tt
 ƒ ƒ t	tt
 ƒ  ttd ƒ k�st‚d S )Nr=   r-   r   r?   rT   é   r@   )r   r   r   r   r   r   r#   r   r!   r   r   r'   r'   r'   r(   Útest_issue_24266‡  s    \D4ÿ
ÿ
D^ÿ
ÿztr»   N)[Zsympy.core.evalfr   Zsympy.core.functionr   r   r   r   Zsympy.core.numbersr   r   r	   r
   r   r   Zsympy.core.singletonr   Zsympy.core.symbolr   r   Z&sympy.functions.elementary.exponentialr   r   r   Z(sympy.functions.elementary.miscellaneousr   Z(sympy.functions.elementary.trigonometricr   r   r   Z'sympy.functions.special.gamma_functionsr   Zsympy.integrals.integralsr   r   Zsympy.series.orderr   Zsympy.series.seriesr   r`   r   r   r   r   Zsympy.testing.pytestr    Z
sympy.corer!   r)   r*   r+   r,   rR   rY   r[   ra   rg   Zsympy.series.accelerationrh   ri   Zsympy.concrete.summationsrj   rk   rq   rr   rs   rv   rw   rx   r}   r~   r‚   r„   rŠ   r‘   r”   r—   r˜   rš   r›   r�   rž   r¦   r¨   r«   r¬   r®   r±   r²   r·   r¹   r»   r'   r'   r'   r(   Ú<module>   sn    2		
5