
    \h                     \   S SK JrJr  S SKJrJrJrJr  S SKJ	r	J
r
JrJrJrJr  S SKJrJr  S SKJrJr  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%J&r&  \" S5      u  r'r(\" S5      r)\" S5      r*S r+S r,S r-S r.S r/\&S 5       r0S r1S r2S r3S r4S r5S r6g)    )
DerivativeFunction)IRationaloopi)EqGeGtLeLtNe)Symbolsymbols)Abs	conjugate)explog)sqrt)sin)Integral)Matrix)limit)python)raisesXFAILzx,ythetaphic                     [        [        S5      * S-  5      S:X  d   e[        [        S5      * S-  5      S:X  d   e[        [        5      S:X  d   e[        [        S-  5      S:X  d   e[        S[        -  5      S	:X  d   e[        [        [        S
-  -  5      S:X  d   e[        [        [        SS5      -  5      S:X  d   e[        [        S-  [        -   S-   5      S;   d   e[        S[        -
  5      S;   d   e[        SS[        -  -
  5      S;   d   e[        S[        SS5      [        -  [        -  -
  5      S;   d   e[        [        [        -  5      S:X  d   e[        [        * [        -  5      S:X  d   e[        [        S-   [        -  5      S;   d   e[        S[        -   [        -  5      S;   d   e[        S[        -  [        S-   -  5      S:X  d   e[        S[        SS5      [        S-   -  -
  5      S;   d   eg )N      ze = Rational(-1, 2)      ze = Rational(-13, 22)e = oozx = Symbol('x')
e = x**2zx = Symbol('x')
e = 1/xz*y = Symbol('y')
x = Symbol('x')
e = y/x**2z&x = Symbol('x')
e = x**Rational(-5, 2))z x = Symbol('x')
e = 1 + x + x**2z x = Symbol('x')
e = x + x**2 + 1z x = Symbol('x')
e = x**2 + x + 1)zx = Symbol('x')
e = 1 - xzx = Symbol('x')
e = -x + 1)zx = Symbol('x')
e = 1 - 2*xzx = Symbol('x')
e = -2*x + 1   )z/y = Symbol('y')
x = Symbol('x')
e = 1 - 3/2*y/xz0y = Symbol('y')
x = Symbol('x')
e = -3/2*y/x + 1z1y = Symbol('y')
x = Symbol('x')
e = 1 - 3*y/(2*x)z'x = Symbol('x')
y = Symbol('y')
e = x/yz(x = Symbol('x')
y = Symbol('y')
e = -x/y)z/y = Symbol('y')
x = Symbol('x')
e = 1/y*(2 + x)z/y = Symbol('y')
x = Symbol('x')
e = 1/y*(x + 2)z/x = Symbol('x')
y = Symbol('y')
e = 1/y*(2 + x)z-x = Symbol('x')
y = Symbol('y')
e = (2 + x)/yz-x = Symbol('x')
y = Symbol('y')
e = (x + 2)/y)z-y = Symbol('y')
x = Symbol('x')
e = y*(1 + x)z-y = Symbol('y')
x = Symbol('x')
e = y*(x + 1)
   z!x = Symbol('x')
e = -5*x/(x + 10))z7x = Symbol('x')
e = Rational(-3, 2)*x + Rational(-1, 2),x = Symbol('x')
e = -3*x/2 + Rational(-1, 2)r)   )r   r   r   xy     X/var/www/auris/envauris/lib/python3.13/site-packages/sympy/printing/tests/test_python.pytest_python_basicr/      s8   8A;,q.!%::::8B<-"#'>>>>":!!! !Q$<8888!A#;4444!ArE'?LLLL	8B?HI I I !Q$(Q, $/ / / / !a%= ' ' ' ' !ac'? ) ) ) ) !hq!nQ&q(() .? ? ? ? !A#;EEEE1"Q$<GGGG1q5!) !; ; ; ; 1q5!) != = = =
 "Q$B- $HHHH!hq!na!e,,- 2   r-   c                      [        S[        S5      -  5      S:X  d   e[        S[        S5      -  S[        S5      -  -   5      S:X  d   e[        S[        S5      -  [        S5      " S	5      -   5      S
:X  d   eg )N   lambdaz(lambda_ = Symbol('lambda')
e = 5*lambda_   lambda_zRlambda__ = Symbol('lambda')
lambda_ = Symbol('lambda_')
e = 7*lambda_ + 5*lambda__forfor_   zCfor__ = Symbol('for')
for_ = Function('for_')
e = 5*for__ + for_(8))r   r   r   r,   r-   r.   (test_python_keyword_symbol_name_escapingr8   I   s    	&
JK K K1VH%%&*;(;;<bc d c1VE]?Xf%5a%889ST U Tr-   c                  J    [        S[        S5      " S5      -  5      S:X  d   eg )Nr1   r5   r7   z$for_ = Function('for')
e = 5*for_(8))r   r   r,   r-   r.   *test_python_keyword_function_name_escapingr:   S   s0    	(5/!
!HI I Ir-   c                     [        [        [        [        5      5      S:X  d   e[        [	        [        [        5      5      S:X  d   e[        [        [        [        5      5      S:X  d   e[        [        [        [        5      5      S:X  d   e[        [        [        [        5      5      S:X  d   e[        [        [        [        S-   -  [        S-  5      5      S;   d   eg )	Nz,x = Symbol('x')
y = Symbol('y')
e = Eq(x, y)z*x = Symbol('x')
y = Symbol('y')
e = x >= yz*x = Symbol('x')
y = Symbol('y')
e = x <= yz)x = Symbol('x')
y = Symbol('y')
e = x > yz)x = Symbol('x')
y = Symbol('y')
e = x < yr    r!   )z7x = Symbol('x')
y = Symbol('y')
e = Ne(x/(1 + y), y**2)z7x = Symbol('x')
y = Symbol('y')
e = Ne(x/(y + 1), y**2))	r   r	   r*   r+   r
   r   r   r   r   r,   r-   r.   test_python_relationalr<   X   s    "Q(OOOO"Q(MMMM"Q(MMMM"Q(LLLL"Q(LLLL"QAY1%& +E E E Er-   c                     [        S[        -  [        [        5      -   5      S;   d   e[        [        S5      5      S:X  d   e[        S[	        SS5      -  5      S:X  d   e[        [        S[
        -   5      5      S:X  d   e[        S[
        -   [	        SS5      -  5      S:X  d   e[        S[	        SS	5      -  5      S
:X  d   e[        [        [        5      5      S:X  d   e[        [        [        [        S-  S-   -  5      5      S;   d   e[        S5      n [        U " [        5      5      S:X  d   e[        U " [        [        5      5      S:X  d   e[        U " [        [        S-   -  [        5      5      S;   d   e[        [        [        [        S-   5      S-   5      5      S;   d   e[        [        S-   [	        SS5      -  S-   [	        SS5      -  5      S;   d   e[        [        [        5      S-  5      S:X  d   eg )Nr!   z x = Symbol('x')
e = 2*x + exp(x)ze = sqrt(2)r    r'   ze = 2**Rational(1, 3)ze = sqrt(2 + pi)ze = (2 + pi)**Rational(1, 3)   ze = 2**Rational(1, 4)zx = Symbol('x')
e = Abs(x))z%x = Symbol('x')
e = Abs(x/(1 + x**2))z%x = Symbol('x')
e = Abs(x/(x**2 + 1))fz*x = Symbol('x')
f = Function('f')
e = f(x)z=x = Symbol('x')
y = Symbol('y')
f = Function('f')
e = f(x, y))zEx = Symbol('x')
y = Symbol('y')
f = Function('f')
e = f(x/(1 + y), y)zEx = Symbol('x')
y = Symbol('y')
f = Function('f')
e = f(x/(y + 1), y))z)x = Symbol('x')
e = sqrt(1 + sqrt(1 + x))z)x = Symbol('x')
e = sqrt(sqrt(x + 1) + 1))zAx = Symbol('x')
e = (1 + (1 + x)**Rational(1, 3))**Rational(1, 3)zAx = Symbol('x')
e = ((x + 1)**Rational(1, 3) + 1)**Rational(1, 3)zx = Symbol('x')
e = sin(x)**2)
r   r*   r   r   r   r   r   r   r+   r   )r?   s    r.   test_python_functionsr@   c   s   !A#A,#FFFF$q'?m+++!Xa^#$(????$q2v,#55551r6HQN*+/MMMM!Xa^#$(????#a&>::::Aq!taxL66 6 6
 	A!A$<IIII!Aq'?````!Aq1uIq/" 'T T T T
 $QUq()* /6 6 6 6
 QUXa^+q08Aq>AB GN N N N
 #a&!) @@@@r-   c            	          [        [        S5      u  p[        [        X[        -  -   5      5      S:X  d   e[        [        [        X[        -  -   5      5      5      S:X  d   eg )Nabz_     _
a - I*bz _     _
 a - I*b
e       )mapr   r   r   r   r   )abs     r.    test_python_functions_conjugatesrF      sR    vtDA9Q1W%'+====9SqS\*,0NNNNr-   c                     [        [        [        5      [        SS9n [        U 5      S:X  d   e[        [        [        5      [        SS9[        -   n[        U5      S:X  d   e[        [        [        5      [        S-  -   [        [        SS9n[        U5      S:X  d   e[        S[        -  [        -  [        [        SS9[        S-  -   n[        U5      S;   d   eg )NF)evaluatez)x = Symbol('x')
e = Derivative(log(x), x)z-x = Symbol('x')
e = x + Derivative(log(x), x)r!   zCx = Symbol('x')
y = Symbol('y')
e = Derivative(x**2 + log(x), x, y))zBx = Symbol('x')
y = Symbol('y')
e = x**2 + Derivative(2*x*y, y, x)zBx = Symbol('x')
y = Symbol('y')
e = Derivative(2*x*y, y, x) + x**2)r   r   r*   r   r+   )f_1f_2f_3f_4s       r.   test_python_derivativesrM      s    
SVQ
/C#;FFFF
SVQ
/!
3C#;JJJJ SVad]Aq5
9C#;OP P P QqSUAq5
1AqD
8C#; P P P Pr-   c                  <   [        [        [        5      [        5      n [        U 5      S:X  d   e[        [        S-  [        5      n[        U5      S:X  d   e[        [        S[        -  -  [        5      n[        U5      S:X  d   e[        [        S-  [        SS45      n[        U5      S:X  d   e[        [        S-  [        [	        SS5      S45      n[        U5      S:X  d   e[        [        S-  [
        S-  -  [        [
        5      n[        U5      S	:X  d   eg )
Nz'x = Symbol('x')
e = Integral(log(x), x)r!   z%x = Symbol('x')
e = Integral(x**2, x)z*x = Symbol('x')
e = Integral(x**(2**x), x)r    z-x = Symbol('x')
e = Integral(x**2, (x, 1, 2))r(   z;x = Symbol('x')
e = Integral(x**2, (x, Rational(1, 2), 10))z=x = Symbol('x')
y = Symbol('y')
e = Integral(x**2*y**2, x, y))r   r   r*   r   r   r+   )rI   rJ   rK   rL   f_5f_6s         r.   test_python_integralsrQ      s   
3q61
C#;DDDD
1a4
C#;BBBB 1q!t9a
 C#;GGGG 1a4!Q
#C#;JJJJ
1a4!Xa^R0
1CNO O O 1a419a
#C#;[[[[r-   c                  |    [        [        [        S-  S-   S/[        [        [        -   //5      5      n SnX:X  d   eg )Nr!   r    zSx = Symbol('x')
y = Symbol('y')
e = MutableDenseMatrix([[x**2 + 1, 1], [y, x + y]]))r   r   r*   r+   )pss     r.   test_python_matrixrU      s8    v1Q{Q!H-./A_A6M6r-   c                      [        [        [        [        [        5      5      S:X  d   e[        [        [        S-  [        S5      5      S:X  d   eg )Nr$   r!   r   ze = 0)r   r   r*   r   r,   r-   r.   test_python_limitsrW      s=    %1b/"h...%1a#$///r-   c                  Z    [        S5      n [        S5      nX-  n[        U5      S:X  d   eg )Nza_{b}rE   z/a_b = Symbol('a_{b}')
b = Symbol('b')
e = a_b*b)r   r   )a_brE   exprs      r.   test_issue_20762r[      s.    
/CsA5D$<NNNNr-   c                  &    [        [        S 5        g )Nc                      [        [        SS9$ )Ngarbage)method)r   r*   r,   r-   r.   <lambda>test_settings.<locals>.<lambda>   s    fQy9r-   )r   	TypeErrorr,   r-   r.   test_settingsrc      s    
99:r-   N)7sympy.core.functionr   r   sympy.core.numbersr   r   r   r   sympy.core.relationalr	   r
   r   r   r   r   sympy.core.symbolr   r   $sympy.functions.elementary.complexesr   r   &sympy.functions.elementary.exponentialr   r   (sympy.functions.elementary.miscellaneousr   (sympy.functions.elementary.trigonometricr   sympy.integrals.integralsr   sympy.matrices.denser   sympy.series.limitsr   sympy.printing.pythonr   sympy.testing.pytestr   r   r*   r+   thphr/   r8   r:   r<   r@   rF   rM   rQ   rU   rW   r[   rc   r,   r-   r.   <module>rs      s    6 4 4 : : / A = 9 8 . ' % ( .u~1G_E]0fUI
E AF O OP&\2
0O;r-   