o
    jg                     @   s  d dl mZmZmZmZ d dlmZ d dlmZ d dl	m
Z
 d dlmZ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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$m%Z%m&Z&m'Z' d dl(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3 e'e%dd Z4dd Z5e%dd Z6dd Z7dd Z8e%dd Z9e%e&dd Z:e%e'dd Z;e%e&d d! Z<e%e&d"d# Z=e%d$d% Z>e%d&d' Z?e%d(d) Z@e%e&d*d+ ZAe%d,d- ZBe%d.d/ ZCe%d0d1 ZDe%d2d3 ZEe%d4d5 ZFd6d7 ZGe%d8d9 ZHe%e'd:d; ZIe%e&d<d= ZJe%d>d? ZKe&e%d@dA ZLe%dBdC ZMe%e&dDdE ZNe%dFdG ZOe%dHdI ZPe%dJdK ZQe%dLdM ZRe%dNdO ZSe%dPdQ ZTe%dRdS ZUe%dTdU ZVe%dVdW ZWe%dXdY ZXe%dZd[ ZYe%d\d] ZZe%d^d_ Z[e%d`da Z\dbS )c    )IRationaloopi)S)symbols)sign)explog)sechsinh)sqrt)	Piecewise)acosatancossintan)
DiracDelta)gamma)Integral	integrate)fu)XFAILslowtooslow)xkcybhamzntc                   C   sX   t tttdt  tdt  td td   dtd t d   ttr*J d S )N         )r   r	   r   r   r   hasr    r+   r+   d/var/www/html/zoom/venv/lib/python3.10/site-packages/sympy/integrals/tests/test_failing_integrals.pytest_issue_3880   s   Xr-   c                  C   s>   t ddd} t|  | dk f| df}tt| | |ksJ d S )NxrT)realr   )r   r   r   r   )r.   negabsxr+   r+   r,   test_issue_4212_real   s   r1   c                   C   s   t ttttrJ d S N)r   r   r   r*   r   r+   r+   r+   r,   test_issue_4212$   s   r3   c                  C   sz   t ttd dtt  t} t| ttt d ksJ | tttd d  t d ttd d d   ks;J d S Nr'   r)   )r   r   r   r   r   r   expandfr+   r+   r,   test_issue_4511-   s   @r8   c                   C   sF   t t t ttt t tdtftddfddtddftjks!J d S )Nr   r)   F)meijergr   r   r   r   r$   r   r   Halfr+   r+   r+   r,   $test_integrate_DiracDelta_no_meijerg4   s   
r<   c                   C   sB   t t t ttt t tdtftddftddftjksJ d S )Nr   r)   r:   r+   r+   r+   r,   test_integrate_DiracDelta_fails9   s   r=   c                   C   sR   t tt dt t  ttt  ttd    dtd   tddftr'J d S Nr)   r'   r   )	r   r   r#   r%   r"   r    r   r*   r   r+   r+   r+   r,   test_issue_4525A   s   Rr?   c                   C   sZ   t tdt ttt  tdt  ttt  t ttdt    ttr+J d S Nr)   )r   r   r   r	   r*   r   r+   r+   r+   r,   test_issue_4540H   s   ,
rA   c                   C   s    t ttt ttrJ d S r2   )r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_4891Q   s    rB   c                   C   s6   t tdt t tt td   ttrJ d S Nr'   )r   r	   r    r   r"   r*   r   r+   r+   r+   r,   test_issue_1796aX   s   6rD   c                   C   s>   t tdt t tt td   tt dftrJ d S Nr'   r   r   r	   r    r   r"   r   r*   r   r+   r+   r+   r,   test_issue_4895b^      >rG   c                   C   s>   t tdt t tt td   tt tftrJ d S rC   rF   r+   r+   r+   r,   test_issue_4895cc   rH   rI   c                   C   s<   t tdt t tt td   tdtftrJ d S rE   rF   r+   r+   r+   r,   test_issue_4895dh   s   <rJ   c                   C   s2   t tdttd d  tddftrJ d S )Nr)      r'   i   )r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_4941m   s   2rM   c                   C   s@   t ttttd   tt  tt tdtftrJ d S Nr)   r   )	r   r
   r   r   r	   r   r   r*   r   r+   r+   r+   r,   test_issue_4992s   s   @rO   c                  C   s:   t ddttt  ttd td f} | trJ d S )Nr)   r(      )r   r   r   r   r   r*   r   ir+   r+   r,   test_issue_16396ay      (rS   c                  C   s:   t ttt dttd   tdtf} | trJ d S r>   )r   r   r   r   r   r*   r   rQ   r+   r+   r,   test_issue_16396b   rT   rU   c                   C   s0   t tttt tddt gdt ksJ d S Nr   r'   )r   r	   r   r   r   r+   r+   r+   r,   test_issue_16046      0rW   c                   C   sD   t tdtt d ttd  tt d td ftr J d S )Nr)   r'   )r   r   r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_15925a   s   DrY   c                  C   sb   t dttd  tt d dtt ttd  d  } t| tdtd ftddks/J d S )Nr'      r   rP   r(   )r   r   r   r   r   r   r   r6   r+   r+   r,   test_issue_15925b   s   <&r\   c                   C   s^   t tdttd  tt d dtt ttd  d  tdtd fddtr-J d S )NrZ   r'   r[   r   rP   Tmanual)r   r   r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_15925b_manual   s
   <
r_   c                  C   s>   t tdt tdt d  t tddf} | trJ d S r>   r   r
   r   r*   r   rQ   r+   r+   r,   test_issue_15227   s   ,ra   c                  C   s8   t ttd ttt  ttjdf} | trJ d S )N   r)   )	r   r
   r   r   r   r   r;   r*   r   rQ   r+   r+   r,   test_issue_14716   s   &rc   c                  C   s6   t ttddt t   tdtf} | trJ d S r>   )r   r   r   r!   r*   r   rQ   r+   r+   r,   test_issue_14709a   s   $rd   c                   C   s(   t ttd tt ttrJ d S rC   )r   r	   r   r   r*   r   r+   r+   r+   r,   test_issue_14398      (re   c                  C   s.   t ttttdtd f} | trJ d S rV   )r   r
   r   r   r   r*   r   rQ   r+   r+   r,   test_issue_14074   s   rg   c                  C   s:   t tdt tdt  t tdtf} | trJ d S )N   r'   r   )r   r   r   r   r*   r   rQ   r+   r+   r,   test_issue_14078b   s   (ri   c                  C   s2   t tdt dt  tddf} | trJ d S rN   r`   rQ   r+   r+   r,   test_issue_13792   s    rj   c                   C   s*   t tttd  tddftrJ d S Nr(   r   r)   r   r	   r   r   r*   r   r+   r+   r+   r,   test_issue_11845a   s   *rm   c                   C   s,   t tt td  tddftrJ d S rk   rl   r+   r+   r+   r,   test_issue_11845b      ,rn   c                   C   s0   t tt tdd t tdtftrJ d S )Nr'   r   )r   r"   r   r   r*   r   r+   r+   r+   r,   test_issue_11813   rX   rq   c                   C   s&   t ttd tddftrJ d S )Nr'   r   r)   )r   r   r   r*   r   r+   r+   r+   r,   test_issue_11254c   s   &rr   c                   C   s,   t ttd dtd   ttrJ d S r4   )r   r   r   r*   r   r+   r+   r+   r,   test_issue_10584   ro   rs   c                   C   s8   t ttttd td  td   ttrJ d S rC   )r   r
   r   r   r   r$   r*   r   r+   r+   r+   r,   test_issue_9101      8rt   c                   C   s8   t ttttd  tt  t d  ttrJ d S )Nr'   r(   )r   r   r   r"   r    r   r*   r   r+   r+   r+   r,   test_issue_7147   ru   rv   c                   C   s0   t ttd td td   ttrJ d S rC   )r   r   r"   r   r*   r   r+   r+   r+   r,   test_issue_7109   rX   rw   c                  C   sj   t dtdt  dk fdt dt d d  tdt  dkf} tt| tdtfdt   dks3J d S )	Nr   g    @}@gW?j*@gVL?gףp=
?r'   g    @gHz>)r   r&   r   absr   r   evalfr6   r+   r+   r,   ,test_integrate_Piecewise_rational_over_reals   s
   &,rz   c                   C   s(   t ttdtd   ttrJ d S )N	   r'   )r   r   rx   r*   r   r+   r+   r+   r,   test_issue_4311_slow  rf   r|   c                  C   sP   t ddd} td| tt  d tddt fdt td| d   ks&J d S )Nr"   T)positiver)   rp   r   r'   )r   r   r   r   r   r   )r"   r+   r+   r,   test_issue_20370  s   Dr~   c                   C   s(   t tdt td  ttrJ d S r@   r`   r+   r+   r+   r,   test_polylog  rf   r   c                   C   s,   t tdt td  tddtrJ d S )Nr)   Tr]   r`   r+   r+   r+   r,   test_polylog_manual  s   ,r   N)]sympy.core.numbersr   r   r   r   sympy.core.singletonr   sympy.core.symbolr   $sympy.functions.elementary.complexesr   &sympy.functions.elementary.exponentialr	   r
   %sympy.functions.elementary.hyperbolicr   r   (sympy.functions.elementary.miscellaneousr   $sympy.functions.elementary.piecewiser   (sympy.functions.elementary.trigonometricr   r   r   r   r   'sympy.functions.special.delta_functionsr   'sympy.functions.special.gamma_functionsr   sympy.integrals.integralsr   r   sympy.simplify.fur   sympy.testing.pytestr   r   r   	sympy.abcr   r   r   r   r    r!   r"   r#   r$   r%   r&   r-   r1   r3   r8   r<   r=   r?   rA   rB   rD   rG   rI   rJ   rM   rO   rS   rU   rW   rY   r\   r_   ra   rc   rd   re   rg   ri   rj   rm   rn   rq   rr   rs   rt   rv   rw   rz   r|   r~   r   r   r+   r+   r+   r,   <module>   s   4
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