o
    GZh2                     @   s  d dl Z d dlZd dlmZ d dlmZmZmZmZm	Z	m
Z
mZmZmZ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 d dl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%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2 d	d
 Z3dd Z4dd Z5dd Z6dd Z7dd Z8dd Z9dd Z:dd Z;dd Z<dd Z=dd  Z>d!d" Z?d#d$ Z@d%d& ZAd'd( ZBd)d* ZCd+d, ZDd-d. ZEd/d0 ZFd1d2 ZGd3d4 ZHd5d6 ZId7d8 ZJd9d: ZKd;d< ZLd=d> ZMd?d@ ZNdAdB ZOdS )C    N)Q)SymbolFunctionFloatRationalIntegerIMulPowEqLtLeGtGeNe)exp	factorial
factorial2sinMinMax)And)Limit)raises)
parse_exprstandard_transformationsrationalize
TokenErrorsplit_symbolsimplicit_multiplicationconvert_equals_signsconvert_xorfunction_exponentiationlambda_notationauto_symbolrepeated_decimals#implicit_multiplication_applicationauto_numberfactorial_notationimplicit_application_transformationTc                  C   s  t d} i dd|  dtddtddd	ddt  d
t| dt| dt| dt| d d dtdddtdddtdddtdddtdddtdddtdddtddd td!d"td#d$d%td td&td'tdg| jtddt	t
ddd(d)t
ddd(d)d(d)tt| | d*d+d,t| d-	}| D ]\}}t||ksJ qttd.d/  ttd0d/  ttd1d/  ttd2d/  ttd3d/  ttd4d/  ttd5d/  d S )6Nxz2*x   z3.00   z22/7      z2+3jzexp(x)zx!zx!!z(x + 1)! - 1   z3.[3]
   z.0[3]   z3.2[3]a   z1.3[12]i  iJ  z	1 + 3.[3]   z	1 + .0[3]   z
1 + 3.2[3]   z.[0011]i  z0.1[00102] + 1ii i i'  i'  i _7 Fevaluater   -)dir)	z1.[0191]z10!z-(2)z[-1, -2, 3]zSymbol("x").free_symbolszS('S(3).n(n=3)')zfactorint(12, visual=True)zLimit(sin(x), x, 0, dir="-")z	Q.even(x)c                   S   s
   t dtS Nr,   )r   r    r?   r?   T/var/www/auris/lib/python3.10/site-packages/sympy/parsing/tests/test_sympy_parser.py<lambda>>   s   
z#test_sympy_parser.<locals>.<lambda>c                   S   s   t ddd dS )Nr,   c                 S      dS Nr1   r?   r,   yr?   r?   r@   rA   A       5test_sympy_parser.<locals>.<lambda>.<locals>.<lambda>transformationsr   r?   r?   r?   r@   rA   @   s   c                   S   s   t ddd fdS )Nr,   c                 S   rB   rC   r?   rD   r?   r?   r@   rA   C   rF   rG   rH   rJ   r?   r?   r?   r@   rA   B   s   c                   S      t dddS )Nr,   )r?   rH   rJ   r?   r?   r?   r@   rA   D       c                   S   s   t di g g S r>   rJ   r?   r?   r?   r@   rA   E       c                   S      t dg g i S r>   rJ   r?   r?   r?   r@   rA   F   rM   c                   S   rN   r>   rJ   r?   r?   r?   r@   rA   G   rM   )r   r   r   r   r   r   r   r   free_symbolsr	   r
   r   r   r   Zevenitemsr   r   	TypeError)r,   inputstextresultr?   r?   r@   test_sympy_parser   sv   

	








!rU   c                  C   sB   dt ddi} ttf }|  D ]\}}t||d|ksJ qd S )Nz0.123{   i  rH   )r   r   r   rP   r   )rR   rI   rS   rT   r?   r?   r@   test_rationalizeJ   s   

rW   c               	   C   s6   g d} | D ]}zt | J  ty   	 Y qw d S )N)zx!!!zx!!!!z(!))r   r   )rR   rS   r?   r?   r@   test_factorial_failS   s   rX   c                     sP   g d} | D ] t t fdd qg d} | D ] t ttf fdd qd S )N)z1[1]z.1e1[1]z0x1[1]z1.1j[1]z
1.1[1 + 1]z0.1[[1]]z0x1.1[1]c                         t  S NrJ   r?   rS   r?   r@   rA   f       z$test_repeated_fail.<locals>.<lambda>)z0.1[z0.1[1z0.1[]c                      rY   rZ   rJ   r?   r[   r?   r@   rA   k   r\   )r   rQ   r   SyntaxError)rR   r?   r[   r@   test_repeated_fail_   s   r^   c                   C   s0   t dtddksJ t dtddksJ d S )Nz.[1]r1   	   z1 + .[1]r2   r   r   r?   r?   r?   r@   test_repeated_dot_onlyn   s   ra   c                  C   sB   ddd i} dt di}| D ]\}}t|| d|ksJ qd S )NZmy_functionc                 S   s   | d S )Nr-   r?   r,   r?   r?   r@   rA   u   r\   z!test_local_dict.<locals>.<lambda>zmy_function(2)   
local_dict)r   rP   r   )re   rR   rS   rT   r?   r?   r@   test_local_dicts   s   rf   c                  C   sB   t ttf } tddd}td}tdd|i| d|| ksJ d S )NwT)realrE   Zyxr,   re   rI   r   r   r   r   r   )trg   rE   r?   r?   r@   test_local_dict_split_implmult~   s   "rl   c                     sR   t d} dtdi td d d | ksJ dt di tt fdd d S )	Nr,   Zfoobarfoo(x)rd   Zbazc                         t d dS )Nrn   rd   rJ   r?   dr?   r@   rA      rL   z/test_local_dict_symbol_to_fcn.<locals>.<lambda>)r   r   r   r   rQ   rb   r?   rp   r@   test_local_dict_symbol_to_fcn   s
   rr   c                  C   sH   dt i} dtt dt di}| D ]\}}t|| d|ks!J qd S )Nr   zQ & Sr   Sglobal_dict)r   r   rP   r   )ru   rR   rS   rT   r?   r?   r@   test_global_dict   s   rv   c                  C   s   i } t d|  tt}| D ]\}}t|tjr|| |< qt| d< t| d< | 	d dt
i}| D ]}t||d}|t
|ksAJ q1d S )Nzfrom sympy import *maxminr   rt   )execvarsbuiltinsrP   
isinstancetypesBuiltinFunctionTyper   r   popr   r   )Zdefault_globalsZbuiltins_dictnameobjru   r?   r?   r@   test_no_globals   s   

r   c                   C   s    t tdd  t tdd  d S )Nc                   S      t dS )Nz(()rJ   r?   r?   r?   r@   rA      r\   z!test_issue_2515.<locals>.<lambda>c                   S   r   )Nz"""rJ   r?   r?   r?   r@   rA      r\   )r   r   r?   r?   r?   r@   test_issue_2515   s   r   c                  C   sJ   t d} d}t|ddt|ddksJ t|ddd| d  s#J d S )Nr,   z2*(x+1)Fr:   r-   r1   )r   r   equals)r,   er?   r?   r@   test_issue_7663   s   "r   c                  C   s@   ddddd} |   D ]\}}t|ddt|ddksJ qd S )N4*-3z(-4)*3z(-2)*x*yzx*(-4)*x)r   z-4*3z-2*x*yzx*-4*xFr:   rP   r   rR   rS   rT   r?   r?   r@   #test_recursive_evaluate_false_10560   s   r   c                  C   sz   g d} | D ]}t |dd}|t|  krt| ks"J  J qtt ddddks/J tt ddddks;J d S )N)!zAbs(0)zim(0)zre(0)zsign(0)zarg(0)zconjugate(0)zacos(0)zacot(0)zacsc(0)zasec(0)zasin(0)zatan(0)zacosh(0)zacoth(0)zacsch(0)zasech(0)zasinh(0)zatanh(0)zcos(0)zcot(0)zcsc(0)zsec(0)zsin(0)ztan(0)zcosh(0)zcoth(0)zcsch(0)zsech(0)zsinh(0)ztanh(0)zexp(0)log(0)zsqrt(0)Fr:   zln(0)r   zcbrt(0)z0**(1/3))r   strZdoit)rR   caseexprr?   r?   r@   test_function_evaluate_false   s   *r   c                  C   s<   ddd} |   D ]\}}t|ddt|ddksJ q	d S )Nz(-10)/5z
(-10)/(-5))z-10/5z-10/-5Fr:   r   r   r?   r?   r@   test_issue_10773   s   r   c                  C   sP   t ttf } td}td}td}td|ksJ td| d|| ks&J d S )Nr,   rE   xyrH   rj   )rI   r,   rE   r   r?   r?   r@   test_split_symbols   s   r   c                  C   sv   t ttf } td}td}td}td}td| d|| |d  ks&J td| d|id	|||d  ks9J d S )
Nr,   rE   afzay(x+1)rH   r1   zaf(x+1))rI   re   )r   r   r   r   r   r   )rI   r,   rE   r   r   r?   r?   r@   test_split_symbols_function   s    r   c                  C   s   t ttf } td}td}td}td}td| dt|d ks$J td| dt|| ks2J td| dt|| ks@J td	| dt||ksNJ td
| d||| ks\J d S )Nr,   rE   r   zsin^2(x)rH   r-   zsin^y(x)zexp^y(x)zE^y(x)za^y(x))r   r!   r"   r   r   r   r   r   )rk   r,   rE   r   Zyfcnr?   r?   r@   test_functional_exponent   s    r   c                      s    t tf  tt fdd d S )Nc                      ro   )Nz(1,2),(3,4]rH   rJ   r?   rH   r?   r@   rA     rL   z@test_match_parentheses_implicit_multiplication.<locals>.<lambda>)r   r   r   r   r?   r?   rH   r@   .test_match_parentheses_implicit_multiplication  s   r   c                  C   sv   t tf } td}td}td| dtd|ksJ td| dt||ks'J td| dttd| |dks9J d S )	Nr,   rE   z1*2=xrH   r-   zy = xz(2*y = x) = FalseF)r   r    r   r   r   )rI   r,   rE   r?   r?   r@   test_convert_equals_signs	  s   r   c                  C   s(   t d} td}td|| ksJ d S )Nr,   r   zf(x))r   r   r   )r,   r   r?   r?   r@   test_parse_function_issue_3539  s   r   c                	   C   s  t dddtddddksJ t dddtddddksJ t dddtddddks-J t dddtddddks<J t d	ddtddddksKJ t d
ddtddddksZJ t dddttddddtddddddkssJ t dddttddddtddddddksJ t dddttddddtddddtddddddksJ tt	dd  tt	dd  tt	dd  tt	dd  d S )Nz1 < 2Fr:   r1   r-   z1 <= 2z1 > 2z1 >= 2z1 != 2z1 == 2z	1 < 2 < 3r.   z1 <= 2 <= 3z1 < 2 <= 3 < 4rc   c                   S   rK   )Nz1 in 2Fr:   rJ   r?   r?   r?   r@   rA   %  rL   z"test_issue_24288.<locals>.<lambda>c                   S   rK   )Nz1 is 2Fr:   rJ   r?   r?   r?   r@   rA   &  rL   c                   S   rK   )Nz
1 not in 2Fr:   rJ   r?   r?   r?   r@   rA   '  rL   c                   S   rK   )Nz
1 is not 2Fr:   rJ   r?   r?   r?   r@   rA   (  rL   )
r   r   r   r   r   r   r   r   r   
ValueErrorr?   r?   r?   r@   test_issue_24288  s   22
,r   c                  C   sv   t tf } td}td}td| d}||  kr$d| d|  ks'J  J td| d}||d | d	 ks9J d S )
Nnz2**n * 3**nz2**n3**nrH   r-   r.   Zn12n34   "   )r   r&   r   r   )rI   r   expr1Zexpr2r?   r?   r@   test_split_symbols_numeric*  s   (r   c                   C   s   t dtdks
J d S )Nu   α)r   r   r?   r?   r?   r@   test_unicode_names8  s   r   c                   C   s   t ddksJ t dt d  krtddksJ  J t dt d  kr/td	d
ks2J  J t dt d  krDtddksGJ  J t dt d  krYtddks\J  J t dt d  krntddksqJ  J d S )NZ123_456i@ z1.2[3_4]z1.2[34]ic  i  z1.2[012_012]z1.2[012012]i  iM  z.[3_4]z.[34]r   c   z.1[3_4]z.1[34]   i  z123_123.123_123[3_4]z123123.123123[34]l   [.X,ir`   r?   r?   r?   r@   test_python3_features<  s   ****.r   c                  C   s4   t d} tdd| ittf d}|j| hksJ d S )Nr,   z	E**x(1+x)ri   )r   r   r   r&   rO   )r,   eqr?   r?   r@   test_issue_19501E  s   
r   c                  C   s  ddl m}  ttdksJ td tksJ td tksJ td tks&J td tks.J td tks6J td t	ks>J td	 t
ksFJ td
 tksNJ td tksVJ td tks^J td tksfJ td tksnJ td d td   krtksJ  J t}td |t|d  |d fksJ td ddf t|d f ksJ tdddd| d  d ksJ tdddtd|  ksJ d S )Nr   rb   r   r1   r-   r.   rc         r0      r_   r2      )r   r1   r-   r.   rc   )r8   r   z0.3x^2allrH   zsin 3xZimplicit)Z	sympy.abcr,   lenr*   r#   r$   r%   r'   r(   r&   r!   r)   r   r    r"   r   r+   r   r   r   )r,   rk   r?   r?   r@   test_parsing_definitionsM  s(   ($"  r   c                  C   sB   g d} | D ]\}}t |t |ksJ qtt ddksJ d S )N))zabs(x)zAbs(x))z	max(x, y)z	Max(x, y))z	min(x, y)z	Min(x, y))z	pow(x, y)z	Pow(x, y)zpow(38, -1, 97)Z23)r   r   )casesZbuilt_in_func_callZsympy_func_callr?   r?   r@   test_builtinsd  s   r   c                  C   s,   t tdd  dd i} td| du sJ d S )Nc                   S   s   t dddiS )Nr,    r1   rJ   r?   r?   r?   r@   rA   q  rM   z"test_issue_22822.<locals>.<lambda>Zsome_parameterzsome_parameter is NoneT)r   r   r   )datar?   r?   r@   test_issue_22822p  s   r   )Pr{   r}   Zsympy.assumptionsr   Z
sympy.corer   r   r   r   r   r   r	   r
   r   r   r   r   r   r   Zsympy.functionsr   r   r   r   r   r   Zsympy.logicr   Zsympy.seriesr   Zsympy.testing.pytestr   Zsympy.parsing.sympy_parserr   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   rU   rW   rX   r^   ra   rf   rl   rr   rv   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r?   r?   r?   r@   <module>   sL   @ P
2			