a
    {d                     @   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_CI)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rTJ d S )N         )r   r	   r   r   r   hasr    r,   r,   u/var/www/html/stable-diffusion-webui/venv/lib/python3.9/site-packages/sympy/integrals/tests/test_failing_integrals.pytest_issue_3880   s    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 sXJ 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rNJ d S Nr*   r(   r   )	r   r   r$   r&   r#   r!   r   r+   r   r,   r,   r,   r-   test_issue_45252   s    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rbJ d S )NToo slow for CI.r*   )r   r   r   r   r   r	   r+   r   r,   r,   r,   r-   test_issue_45409   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_4891D   s    r9   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_1796aK   s    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_4895bQ   s    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_4895cV   s    r?   c                   C   s<   t tdt t tt td   tdtftr8J d S r<   r=   r,   r,   r,   r-   test_issue_4895d[   s    r@   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_4941`   s    rC   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_4992h   s    rE   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_16396an   s    (rI   c                  C   s:   t ttt dttd   tdtf} | tr6J d S r5   )r   r   r   r   r   r+   r   rG   r,   r,   r-   test_issue_16396bt   s    (rJ   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_16046z   s    rL   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    rM   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	rbJ d S )Nr7   r(      r   rF   )
r   r   r   r   r   r   r   r   r+   r   r,   r,   r,   r-   test_issue_15925b   s    <rP   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 )NrN   r(   rO   r   rF   TZmanual)r   r   r   r   r   r   r+   r   r,   r,   r,   r-   test_issue_15925b_manual   s
    <rR   c                  C   sJ   t rtd ttdt tdt d  t tddf} | trFJ d S )Nr7   r*   r(   r   )r   r   r   r
   r   r+   r   rG   r,   r,   r-   test_issue_15227   s    ,rS   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   r2   r+   r   rG   r,   r,   r-   test_issue_14716   s    &rU   c                  C   s6   t ttddt t   tdtf} | tr2J d S r5   )r   r   r   r"   r+   r   rG   r,   r,   r-   test_issue_14709a   s    $rV   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   s    rW   c                  C   s.   t ttttdtd f} | tr*J d S rK   )r   r
   r   r   r   r+   r   rG   r,   r,   r-   test_issue_14074   s    rX   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   rG   r,   r,   r-   test_issue_14078b   s    (rZ   c                  C   s2   t tdt dt  tddf} | tr.J d S rD   r   r
   r   r+   r   rG   r,   r,   r-   test_issue_13792   s     r\   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    r_   c                   C   s,   t tt td  tddftr(J d S r]   r^   r,   r,   r,   r-   test_issue_11845b   s    r`   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    rb   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    rc   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   s    rd   c                   C   s8   t ttttd td  td   ttr4J d S r:   )r   r
   r   r   r    r%   r+   r   r,   r,   r,   r-   test_issue_9101   s    re   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    rf   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   s    rg   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evalf)fr,   r,   r-   ,test_integrate_Piecewise_rational_over_reals   s
    &rj   c                   C   s(   t ttdtd   ttr$J d S )N	   r(   )r   r   rh   r+   r   r,   r,   r,   r-   test_issue_4311_slow   s    rl   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*   ra   r   r(   )r   r   r   r   r   r   )r#   r,   r,   r-   test_issue_20370  s    rm   c                   C   s(   t tdt td  ttr$J d S )Nr*   r[   r,   r,   r,   r-   test_polylog  s    rn   c                   C   s,   t tdt td  tddtr(J d S )Nr*   TrQ   r[   r,   r,   r,   r-   test_polylog_manual  s    ro   N)[Zsympy.core.numbersr   r   r   r   Zsympy.core.singletonr   Zsympy.core.symbolr   Z$sympy.functions.elementary.complexesr   Z&sympy.functions.elementary.exponentialr	   r
   Z%sympy.functions.elementary.hyperbolicr   r   Z(sympy.functions.elementary.miscellaneousr   Z$sympy.functions.elementary.piecewiser   Z(sympy.functions.elementary.trigonometricr   r   r   r   r   Z'sympy.functions.special.delta_functionsr   Z'sympy.functions.special.gamma_functionsr   Zsympy.integrals.integralsr   r   Zsympy.testing.pytestr   r   r   r   r   Z	sympy.abcr   r   r   r    r!   r"   r#   r$   r%   r&   r'   r.   r0   r3   r4   r6   r8   r9   r;   r>   r?   r@   rC   rE   rI   rJ   rL   rM   rP   rR   rS   rU   rV   rW   rX   rZ   r\   r_   r`   rb   rc   rd   re   rf   rg   rj   rl   rm   rn   ro   r,   r,   r,   r-   <module>   s   4
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