a
    kh                     @   sT  d dl mZmZ d dlmZmZmZmZ d dlm	Z	m
Z
mZmZmZmZ d dlmZ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 d d
lmZ d dl m!Z! d dl"m#Z# d dl$m%Z%m&Z& ed\Z'Z(edZ)edZ*dd Z+dd Z,dd Z-dd Z.dd Z/e&dd Z0dd Z1dd  Z2d!d" Z3d#d$ Z4d%d& Z5d'd( Z6d)S )*    )
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                   C   s  t td d dksJ t td d dks4J t tdksDJ t td dksXJ t dt d	kslJ t ttd
  dksJ t ttdd dksJ t td t d dv sJ t dt dv sJ t ddt  dv sJ t dtddt t  dv s
J t tt dks J t t t dks8J t td t dv sRJ t dt t dv slJ t dt td  dksJ t dtddtd   dv sJ d S )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 r*   r*   N/var/www/auris/lib/python3.9/site-packages/sympy/printing/tests/test_python.pytest_python_basic   s*    $r,   c                   C   sd   t dtd dksJ t dtd dtd  dks<J t dtd tdd	 d
ks`J d S )N   lambdaz(lambda_ = Symbol('lambda')
e = 5*lambda_   Zlambda_zRlambda__ = Symbol('lambda')
lambda_ = Symbol('lambda_')
e = 7*lambda_ + 5*lambda__forZfor_   zCfor__ = Symbol('for')
for_ = Function('for_')
e = 5*for__ + for_(8))r   r   r   r*   r*   r*   r+   (test_python_keyword_symbol_name_escapingI   s    
r2   c                   C   s    t dtdd dksJ d S )Nr-   r0   r1   z$for_ = Function('for')
e = 5*for_(8))r   r   r*   r*   r*   r+   *test_python_keyword_function_name_escapingS   s
    r3   c                   C   s   t tttdksJ t tttdks,J t tttdksBJ t tttdksXJ t tttdksnJ t tttd  td dv sJ d S )	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*   r+   test_python_relationalX   s    r4   c                  C   s  t dt tt dv sJ t tddks0J t dtdd dksJJ t tdt dksbJ t dt tdd dksJ t dtdd	 d
ksJ t ttdksJ t tttd d  dv sJ td} t | tdksJ t | ttdksJ t | ttd  tdv s"J t tttd d dv sDJ t td tdd d tdd dv srJ t t	td dksJ d S )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   )r6   r*   r*   r+   test_python_functionsc   s&     ".r7   c                  C   sN   t td\} }tt| |t  dks*J ttt| |t  dksJJ d S )Nabz_     _
a - I*bz _     _
 a - I*b
e       )mapr   r   r   r   r   )abr*   r*   r+    test_python_functions_conjugates   s    r<   c                  C   s   t tttdd} t| dks"J t tttddt }t|dksHJ t tttd  ttdd}t|dkstJ t dt t ttddtd  }t|dv sJ d S )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_4r*   r*   r+   test_python_derivatives   s     rB   c                  C   s   t ttt} t| dksJ t td t}t|dks<J t tdt  t}t|dks^J t td tddf}t|dksJ t td ttdddf}t|dksJ t td td  tt}t|d	ksJ d S )
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)   )r>   r?   r@   rA   Zf_5Zf_6r*   r*   r+   test_python_integrals   s     rC   c                  C   s8   t ttd d dgttt gg} d}| |ks4J d S )Nr   r   zSx = Symbol('x')
y = Symbol('y')
e = MutableDenseMatrix([[x**2 + 1, 1], [y, x + y]]))r   r   r(   r)   )psr*   r*   r+   test_python_matrix   s    $rF   c                   C   s8   t ttttdksJ t ttd tddks4J d S )Nr"   r   r   ze = 0)r   r   r(   r   r*   r*   r*   r+   test_python_limits   s    rG   c                  C   s,   t d} t d}| | }t|dks(J d S )Nza_{b}r;   z/a_b = Symbol('a_{b}')
b = Symbol('b')
e = a_b*b)r   r   )Za_br;   exprr*   r*   r+   test_issue_20762   s    rI   c                   C   s   t tdd  d S )Nc                   S   s   t tddS )Ngarbage)method)r   r(   r*   r*   r*   r+   <lambda>       ztest_settings.<locals>.<lambda>)r   	TypeErrorr*   r*   r*   r+   test_settings   s    rO   N)7Zsympy.core.functionr   r   Zsympy.core.numbersr   r   r   r   Zsympy.core.relationalr   r	   r
   r   r   r   Zsympy.core.symbolr   r   Z$sympy.functions.elementary.complexesr   r   Z&sympy.functions.elementary.exponentialr   r   Z(sympy.functions.elementary.miscellaneousr   Z(sympy.functions.elementary.trigonometricr   Zsympy.integrals.integralsr   Zsympy.matrices.denser   Zsympy.series.limitsr   Zsympy.printing.pythonr   Zsympy.testing.pytestr   r   r(   r)   thphr,   r2   r3   r4   r7   r<   rB   rC   rF   rG   rI   rO   r*   r*   r*   r+   <module>   s8    3
#
