o
    *ήc                     @   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#m$Z$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$de#dd Z4e#dd Z5e#dd Z6e#dd Z7e#e%dd Z8e#e%dd Z9e#e%dd Z:e#e%dd Z;e#d d! Z<e#d"d# Z=e#d$d% Z>e#e%d&d' Z?e#d(d) Z@e#d*d+ ZAe#d,d- ZBe#d.d/ ZCe#d0d1 ZDe#e%d2d3 ZEe#d4d5 ZFe#e%d6d7 ZGe#e%d8d9 ZHe#d:d; ZIe%e#d<d= ZJe#d>d? ZKe#e%d@dA ZLe#dBdC ZMe#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] ZZd^S )_    )IRationaloopi)S)symbols)sign)explog)sechsinh)sqrt)	Piecewise)acosatancossintan)
DiracDelta)gamma)Integral	integrate)XFAILSKIPslowskip	ON_TRAVIS)xkcybhamzntzToo slow for @slowc                   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,   S/tmp/pip-target-vg8gfxp4/lib/python/sympy/integrals/tests/test_failing_integrals.pytest_issue_3880   s   Xr.   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   r0   c                   C   s\   t ttd dtt  ttt dtt t dttjt d d  t fv s,J d S )Nr(   r*   )r   r   r   r   r   r   Halfr,   r,   r,   r-   test_issue_4511"   s   2r3   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%   r   r   r2   r,   r,   r,   r-   test_integrate_DiracDelta_fails+   s   r4   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_45252   s   Rr6   c                   C   sf   t rtd ttdt ttt  tdt  ttt  t ttdt    ttr1J d S )NToo slow for travis.r*   )r   r   r   r   r   r	   r+   r   r,   r,   r,   r-   test_issue_4540:   s   ,
r8   c                   C   s    t ttt ttrJ d S r/   )r   r   r   r    r+   r   r,   r,   r,   r-   test_issue_4891E   s    r9   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_1796aL   s   6r;   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_4895bR      >r>   c                   C   s>   t tdt t tt td   tt tftrJ d S r:   r=   r,   r,   r,   r-   test_issue_4895cW   r?   r@   c                   C   s<   t tdt t tt td   tdtftrJ d S r<   r=   r,   r,   r,   r-   test_issue_4895d\   s   <rA   c                   C   s>   t rtd ttdttd d  tddftrJ d S )Nr7   r*      r(   i   )r   r   r   r   r   r   r+   r   r,   r,   r,   r-   test_issue_4941a   s   2rD   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_4992i   s   @rF   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_16396ao      (rJ   c                  C   s:   t ttt dttd   tdtf} | trJ d S r5   )r   r   r   r   r   r+   r   rH   r,   r,   r-   test_issue_16396bu   rK   rL   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rN   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rP   c                   C   sf   t rtd ttdttd  tt d dtt ttd  d  tdtd ft	r1J d S )Nr7   r(      r   rG   )
r   r   r   r   r   r   r   r   r+   r   r,   r,   r,   r-   test_issue_15925b   s   <
rS   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 )NrQ   r(   rR   r   rG   Tmanual)r   r   r   r   r   r   r+   r   r,   r,   r,   r-   test_issue_15925b_manual   s
   <
rV   c                  C   sJ   t rtd ttdt tdt d  t tddf} | tr#J d S )Nr7   r*   r(   r   )r   r   r   r
   r   r+   r   rH   r,   r,   r-   test_issue_15227   s   ,rW   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   r2   r+   r   rH   r,   r,   r-   test_issue_14716   s   &rY   c                  C   s6   t ttddt t   tdtf} | trJ d S r5   )r   r   r   r"   r+   r   rH   r,   r,   r-   test_issue_14709a   s   $rZ   c                   C   s(   t ttd tt ttrJ d S r:   )r   r	   r   r   r+   r   r,   r,   r,   r-   test_issue_14398      (r[   c                  C   s.   t ttttdtd f} | trJ d S rM   )r   r
   r   r   r   r+   r   rH   r,   r,   r-   test_issue_14074   s   r]   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   rH   r,   r,   r-   test_issue_14078b   s   (r_   c                  C   s2   t tdt dt  tddf} | trJ d S rE   r   r
   r   r+   r   rH   r,   r,   r-   test_issue_13792   s    ra   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   *rd   c                   C   s,   t tt td  tddftrJ d S rb   rc   r,   r,   r,   r-   test_issue_11845b      ,re   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   rO   rh   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   &ri   c                   C   s,   t ttd dtd   ttrJ d S )Nr(   r*   )r   r   r   r+   r   r,   r,   r,   r-   test_issue_10584   rf   rj   c                   C   s8   t ttttd td  td   ttrJ d S r:   )r   r
   r   r   r    r%   r+   r   r,   r,   r,   r-   test_issue_9101      8rk   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   rl   rm   c                   C   s0   t ttd td td   ttrJ d S r:   )r   r   r#   r   r+   r   r,   r,   r,   r-   test_issue_7109   rO   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s3J d S )	Nr   g    @}@gW?j*@gVL?gףp=
?r(   g    @gHz>)r   r'   r   absr   r   evalf)fr,   r,   r-   ,test_integrate_Piecewise_rational_over_reals   s
   &,rr   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   r\   rt   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*   rg   r   r(   )r   r   r   r   r   r   )r#   r,   r,   r-   test_issue_20370  s   Drv   c                   C   s(   t tdt td  ttrJ d S )Nr*   r`   r,   r,   r,   r-   test_polylog  r\   rw   c                   C   s,   t tdt td  tddtrJ d S )Nr*   TrT   r`   r,   r,   r,   r-   test_polylog_manual  s   ,rx   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.testing.pytestr   r   r   r   r   	sympy.abcr   r   r   r    r!   r"   r#   r$   r%   r&   r'   r.   r0   r3   r4   r6   r8   r9   r;   r>   r@   rA   rD   rF   rJ   rL   rN   rP   rS   rV   rW   rY   rZ   r[   r]   r_   ra   rd   re   rh   ri   rj   rk   rm   rn   rr   rt   rv   rw   rx   r,   r,   r,   r-   <module>   s   4
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