
    \h                         S SK JrJr  S SKJr  S SKJr  S SKJr  S SK	J
r
  S SKJr  S SKJr  S SKJr  S S	KJr  S S
KJrJr  S SKJr  S rS r\S 5       rg)    )
DerivativeFunction)oo)symbols)exp)cos)Integral)besselj)legendre)bell)split_super_subrequires_partial)XFAILc                  
   [        S5      S/ SS/4:X  d   e[        S5      S/ SS/4:X  d   e[        S5      S/ S/4:X  d   e[        S	5      S
/ SS/4:X  d   e[        S5      S
/ / SQ4:X  d   e[        S5      S
/ SS/4:X  d   e[        S5      S
/ SS/4:X  d   e[        S5      S
/ SS/4:X  d   e[        S5      S
S/S/4:X  d   e[        S5      S
S/S/4:X  d   e[        S5      S
S/S/4:X  d   e[        S5      S
S/S/4:X  d   e[        S5      S
/ / SQ4:X  d   e[        S5      S
SS/SS/4:X  d   e[        S5      S
SS/SS/4:X  d   e[        S 5      S
SS/SS/4:X  d   e[        S!5      S
SS/SS/4:X  d   e[        S"5      S
SS/SS/4:X  d   e[        S#5      S
SS/SS/4:X  d   e[        S$5      S
/ SQ/ 4:X  d   e[        S%5      S
/ SQ/ 4:X  d   e[        S&5      S'/ S/4:X  d   e[        S(5      S'/ SS/4:X  d   e[        S)5      S*/ S/4:X  d   e[        S+5      S*/ S,/4:X  d   e[        S-5      S*/ S/4:X  d   e[        S.5      S*/ S//4:X  d   e[        S05      S*/ S1/4:X  d   e[        S25      S*S/S/4:X  d   e[        S35      S4/ S/4:X  d   e[        S55      S4/ S/4:X  d   e[        S65      S4S/S/4:X  d   e[        S75      S4S8/S,/4:X  d   e[        S95      S4S:/S;/4:X  d   e[        S<5      S</ / 4:X  d   eg )=N	beta_13_2beta132beta_132_2013220beta_13x_a_bxabx_1_2_3)1r   3x_a_b1b1x_a_1r   x_1_azx_1^aaaax_1__aazx_11^a11x_11__a	x_a_b_c_d)r   r   cdz	x_a_b^c^dr)   r*   x_a_b__c__dz	x_a^b_c^dx_a__b_c__dz	x^a^b_c_dx__a__b_c_dz	x^a^b^c^dx__a__b__c__dalpha_11alphaalpha_11_11w1wu   w𝟙u   𝟙w11u	   w𝟙𝟙u   𝟙𝟙u
   w𝟙2𝟙u	   𝟙2𝟙zw1^au   ω1u   ωu   ω11u   ω1^au	   ω𝟙^αu   αu   ω𝟙2^3αu   3αu   𝟙2 )r        ]/var/www/auris/envauris/lib/python3.13/site-packages/sympy/printing/tests/test_conventions.pytest_super_subr9      s   ;'FBs+DDDD=)fb5$--HHHH9%&"tf)====7#R#s'<<<<9%#r?)CCCC8$b3+(>>>>7#R#s'<<<<7#R#s'<<<<8$tfse(<<<<9%#vu)====8$sedV(<<<<9%#utf)====;'C5I+JJJJ;'C#sc3Z+HHHH=)cC:Sz-JJJJ;'C#sc3Z+HHHH=)cC:Sz-JJJJ;'C#sc3Z+HHHH=)cC:Sz-JJJJ;'C1Er+JJJJ?+5I2/NNNN:&7B*????=)grD$<-HHHH4 S"se$44447#R&'::::5!c2v%6666;'Cj\+BBBB<(S"{m,DDDD6"sSEC5&99995!dB%66666"tR$&88887#secU';;;;;'D4&6(+CCCC=)dUGgY-GGGG22r2,...r7   c                  
   [        S5      u  pp#n[        SSS9nX-  n[        [        X`5      5      SL d   e[        [        Xa5      5      SL d   e[        [        [        [	        U * U-  5      U S[
        45      USS95      SL d   e[        X@5      n[        [        X`5      5      SL d   e[        [        Xd5      5      SL d   e[        XP5      n[        [        X`5      5      SL d   e[        [        Xe5      5      SL d   e[        XP5      n[        [        X`5      5      SL d   e[        [        Xe5      5      SL d   e[        SU 5      n[        [        X`5      5      SL d   e[        XP5      n[        [        X`5      5      SL d   e[        [        Xe5      5      SL d   eX-  n[        [        X`5      5      SL d   e[        [        [        X-  U-  [	        U * U-  5      -  U S[
        45      USS95      SL d   e[	        U5      [        U5      4n[        U5      n[        [        Xs5      5      SL d   e[        S[        S	9n[        [        U" U 5      U 5      5      SL d   e[        [        U" U 5      U5      5      SL d   e[        [        U" X5      U 5      5      SL d   e[        [        U" X5      U5      5      SL d   e[        [        U" X5      U5      5      SL d   e[        [        U" X5      X5      5      SL d   eg )
Nz
x y z t nunT)integerr   F)evaluatefcls)r   r   r   r	   r   r   r
   r   r   r   sumr   )r   yztnur;   r>   gs           r8   test_requires_partialrG   5   s   \*NA!T"A	AJq,-555Jq,-555 JxQBFaBZ'H!V[\]affff 	AJq,-555Jq-.$666 	AJq,-666 Jq,-666 	Q
AJq,-666Jq,-666 	AAJq,-666AJq,-666Jq,-666	AJq,-666Jx
S!a[0H1aQS*'UWXchijnssss 
QQAAAJq,-666"AJqtQ/0E999JqtQ/0E999Jqw23t;;;Jqw23t;;;Jqw23t;;;Jqw56$>>>r7   c                      [        S5      u  p[        S[        S9n[        [        X 5      5      SL d   e[        [        X U5      5      SL d   eg )Nzx yr>   r?   FT)r   r   r   r   )r   rB   r>   s      r8   +test_requires_partial_unspecified_variablesrI   n   sK    5>DA"AJq,-666JqQ/0D888r7   N)sympy.core.functionr   r   sympy.core.numbersr   sympy.core.symbolr   &sympy.functions.elementary.exponentialr   (sympy.functions.elementary.trigonometricr   sympy.integrals.integralsr	   sympy.functions.special.besselr
   #sympy.functions.special.polynomialsr   %sympy.functions.combinatorial.numbersr   sympy.printing.conventionsr   r   sympy.testing.pytestr   r9   rG   rI   r6   r7   r8   <module>rU      sH    7 ! % 6 8 . 2 8 6 H &#/L7?r 9 9r7   