a
    kh                     @   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rTJ d S )N         )r   r	   r   r   r   hasr    r+   r+   Z/var/www/auris/lib/python3.9/site-packages/sympy/integrals/tests/test_failing_integrals.pytest_issue_3880   s    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.   Znegabsxr+   r+   r,   test_issue_4212_real   s    r0   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$   s    r2   c                  C   sz   t ttd dtt  t} t| ttt d ks:J | tttd d  t d ttd d d   ksvJ d S Nr'   r)   )r   r   r   r   r   r   expandfr+   r+   r,   test_issue_4511-   s    r7   c                   C   sF   t t t ttt t tdtftddfddtddftjksBJ d S )Nr   r)   F)Zmeijergr   r   r   r   r$   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)   r8   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rNJ d S Nr)   r'   r   )	r   r   r#   r%   r"   r    r   r*   r   r+   r+   r+   r,   test_issue_4525A   s    r=   c                   C   sZ   t tdt ttt  tdt  ttt  t ttdt    ttrVJ d S Nr)   )r   r   r   r	   r*   r   r+   r+   r+   r,   test_issue_4540H   s    ,r?   c                   C   s    t ttt ttrJ d S r1   )r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_4891Q   s    r@   c                   C   s6   t tdt t tt td   ttr2J d S Nr'   )r   r	   r    r   r"   r*   r   r+   r+   r+   r,   test_issue_1796aX   s    rB   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^   s    rE   c                   C   s>   t tdt t tt td   tt tftr:J d S rA   rD   r+   r+   r+   r,   test_issue_4895cc   s    rF   c                   C   s<   t tdt t tt td   tdtftr8J d S rC   rD   r+   r+   r+   r,   test_issue_4895dh   s    rG   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    rJ   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    rL   c                  C   s:   t ddttt  ttd td f} | tr6J d S )Nr)   r(      )r   r   r   r   r   r*   r   ir+   r+   r,   test_issue_16396ay   s    (rP   c                  C   s:   t ttt dttd   tdtf} | tr6J d S r<   )r   r   r   r   r   r*   r   rN   r+   r+   r,   test_issue_16396b   s    (rQ   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   s    rS   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    rT   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   rM   r(   )r   r   r   r   r   r   r   r5   r+   r+   r,   test_issue_15925b   s    <rW   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rZJ d S )NrU   r'   rV   r   rM   TZmanual)r   r   r   r   r   r   r*   r   r+   r+   r+   r,   test_issue_15925b_manual   s
    <rY   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   rN   r+   r+   r,   test_issue_15227   s    ,r[   c                  C   s8   t ttd ttt  ttjdf} | tr4J d S )N   r)   )	r   r
   r   r   r   r   r9   r*   r   rN   r+   r+   r,   test_issue_14716   s    &r]   c                  C   s6   t ttddt t   tdtf} | tr2J d S r<   )r   r   r   r!   r*   r   rN   r+   r+   r,   test_issue_14709a   s    $r^   c                   C   s(   t ttd tt ttr$J d S rA   )r   r	   r   r   r*   r   r+   r+   r+   r,   test_issue_14398   s    r_   c                  C   s.   t ttttdtd f} | tr*J d S rR   )r   r
   r   r   r   r*   r   rN   r+   r+   r,   test_issue_14074   s    r`   c                  C   s:   t tdt tdt  t tdtf} | tr6J d S )N   r'   r   )r   r   r   r   r*   r   rN   r+   r+   r,   test_issue_14078b   s    (rb   c                  C   s2   t tdt dt  tddf} | tr.J d S rK   rZ   rN   r+   r+   r,   test_issue_13792   s     rc   c                   C   s*   t tttd  tddftr&J d S Nr(   r   r)   r   r	   r   r   r*   r   r+   r+   r+   r,   test_issue_11845a   s    rf   c                   C   s,   t tt td  tddftr(J d S rd   re   r+   r+   r+   r,   test_issue_11845b   s    rg   c                   C   s0   t tt tdd t tdtftr,J d S )Nr'   r   )r   r"   r   r   r*   r   r+   r+   r+   r,   test_issue_11813   s    ri   c                   C   s&   t ttd tddftr"J d S )Nr'   r   r)   )r   r   r   r*   r   r+   r+   r+   r,   test_issue_11254c   s    rj   c                   C   s,   t ttd dtd   ttr(J d S r3   )r   r   r   r*   r   r+   r+   r+   r,   test_issue_10584   s    rk   c                   C   s8   t ttttd td  td   ttr4J d S rA   )r   r
   r   r   r   r$   r*   r   r+   r+   r+   r,   test_issue_9101   s    rl   c                   C   s8   t ttttd  tt  t d  ttr4J d S )Nr'   r(   )r   r   r   r"   r    r   r*   r   r+   r+   r+   r,   test_issue_7147   s    rm   c                   C   s0   t ttd td td   ttr,J d S rA   )r   r   r"   r   r*   r   r+   r+   r+   r,   test_issue_7109   s    rn   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sfJ d S )	Nr   g    @}@gW?j*@gVL?gףp=
?r'   g    @gHz>)r   r&   r   absr   r   Zevalfr5   r+   r+   r,   ,test_integrate_Piecewise_rational_over_reals   s
    &rp   c                   C   s(   t ttdtd   ttr$J d S )N	   r'   )r   r   ro   r*   r   r+   r+   r+   r,   test_issue_4311_slow  s    rr   c                  C   sP   t ddd} td| tt  d tddt fdt td| d   ksLJ d S )Nr"   T)Zpositiver)   rh   r   r'   )r   r   r   r   r   r   )r"   r+   r+   r,   test_issue_20370  s    rs   c                   C   s(   t tdt td  ttr$J d S r>   rZ   r+   r+   r+   r,   test_polylog  s    rt   c                   C   s,   t tdt td  tddtr(J d S )Nr)   TrX   rZ   r+   r+   r+   r,   test_polylog_manual  s    ru   N)]Zsympy.core.numbersr   r   r   r   Zsympy.core.singletonr   Zsympy.core.symbolr   Z$sympy.functions.elementary.complexesr   Z&sympy.functions.elementary.exponentialr	   r
   Z%sympy.functions.elementary.hyperbolicr   r   Z(sympy.functions.elementary.miscellaneousr   Z$sympy.functions.elementary.piecewiser   Z(sympy.functions.elementary.trigonometricr   r   r   r   r   Z'sympy.functions.special.delta_functionsr   Z'sympy.functions.special.gamma_functionsr   Zsympy.integrals.integralsr   r   Zsympy.simplify.fur   Zsympy.testing.pytestr   r   r   Z	sympy.abcr   r   r   r   r    r!   r"   r#   r$   r%   r&   r-   r0   r2   r7   r:   r;   r=   r?   r@   rB   rE   rF   rG   rJ   rL   rP   rQ   rS   rT   rW   rY   r[   r]   r^   r_   r`   rb   rc   rf   rg   ri   rj   rk   rl   rm   rn   rp   rr   rs   rt   ru   r+   r+   r+   r,   <module>   s   4
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