U
    	-e                     @   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tt td d dks4tt tdksDtt td dksXtt dt d	ksltt ttd
  dkstt ttdd dkstt td t d dkstt dt dkstt ddt  dkstt dtddt t  dks
tt tt dks tt t t dks8tt td t dksRtt dt t dksltt dt td  dkstt dtddtd   dkst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   AssertionErrorr   xy r+   r+   a/var/www/html/Darija-Ai-Train/env/lib/python3.8/site-packages/sympy/printing/tests/test_python.pytest_python_basic   s*    $r-   c                   C   sd   t dtd dkstt dtd dtd  dks<tt dtd tdd	 d
ks`td S )N   lambdaz(lambda_ = Symbol('lambda')
e = 5*lambda_   Zlambda_zRlambda__ = Symbol('lambda')
lambda_ = Symbol('lambda_')
e = 7*lambda_ + 5*lambda__forZfor_   zCfor__ = Symbol('for')
for_ = Function('for_')
e = 5*for__ + for_(8))r   r   r(   r   r+   r+   r+   r,   (test_python_keyword_symbol_name_escapingI   s    
r3   c                   C   s    t dtdd dkstd S )Nr.   r1   r2   z$for_ = Function('for')
e = 5*for_(8))r   r   r(   r+   r+   r+   r,   *test_python_keyword_function_name_escapingS   s
    r4   c                   C   s   t tttdkstt tttdks,tt tttdksBtt tttdksXtt tttdksntt t	ttd  td dkst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+   r,   test_python_relationalX   s    r5   c                  C   s  t dt tt dkstt tddks0tt dtdd dksJtt tdt dksbtt dt tdd dkstt dtdd	 d
kstt ttdkstt tttd d  dksttd} t | tdkstt | tt	dkstt | tt	d  t	dks"tt tttd d dksDtt td tdd d tdd dksrtt t
td dkst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*   r   )r7   r+   r+   r,   test_python_functionsc   s&     ".r8   c                  C   sN   t td\} }tt| |t  dks*tttt| |t  dksJtd S )Nabz_     _
a - I*bz _     _
 a - I*b
e       )mapr   r   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"tt tttddt }t|dksHtt tttd  ttdd}t|dksttt dt t ttddtd  }t|dkst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(   r*   )f_1f_2f_3f_4r+   r+   r,   test_python_derivatives   s     rC   c                  C   s   t ttt} t| dkstt td t}t|dks<tt tdt  t}t|dks^tt td tddf}t|dkstt td ttdddf}t|dkstt td td  tt}t|d	kst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   rB   Zf_5Zf_6r+   r+   r,   test_python_integrals   s     rD   c                  C   s8   t ttd d dgttt gg} d}| |ks4td S )Nr   r   zSx = Symbol('x')
y = Symbol('y')
e = MutableDenseMatrix([[x**2 + 1, 1], [y, x + y]]))r   r   r)   r*   r(   )psr+   r+   r,   test_python_matrix   s    $rG   c                   C   s8   t ttttdkstt ttd tddks4td S )Nr"   r   r   ze = 0)r   r   r)   r   r(   r+   r+   r+   r,   test_python_limits   s    rH   c                  C   s,   t d} t d}| | }t|dks(td S )Nza_{b}r<   z/a_b = Symbol('a_{b}')
b = Symbol('b')
e = a_b*b)r   r   r(   )Za_br<   exprr+   r+   r,   test_issue_20762   s    rJ   c                   C   s   t tdd  d S )Nc                   S   s   t tddS )Ngarbage)method)r   r)   r+   r+   r+   r,   <lambda>       ztest_settings.<locals>.<lambda>)r   	TypeErrorr+   r+   r+   r,   test_settings   s    rP   N)7Zsympy.core.functionr   r   Zsympy.core.numbersr   r   r   r   Zsympy.core.relationalr   r	   r
   r   r   r   Zsympy.core.symbolr   r   Z$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-   r3   r4   r5   r8   r=   rC   rD   rG   rH   rJ   rP   r+   r+   r+   r,   <module>   s8    3
#
