o
    oh2                     @  s  U d dl mZ d dlmZ d dlmZ d dlmZmZ d dl	m
Z
 d dlmZmZ d dlmZmZmZmZ d dlmZ d d	lmZmZmZmZ d d
lmZ d dlmZ d dlmZm Z  d dl!m"Z" d dl#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/m0Z0m1Z1 d dlm2Z2 d dl3m4Z4m5Z5 d dl6m7Z7 d dl8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z? d dl@mAZA d dlBmCZC ed\ZDZEde2iZFdeGd< eHdeF d~d d!ZId"d# ZJd$d% ZKd&d' ZLd(d) ZMd*d+ ZNd,d- ZOd.d/ ZPd0d1 ZQd2d3 ZRd4d5 ZSd6d7 ZTd8d9 ZUd:d; ZVd<d= ZWd>d? ZXd@dA ZYdBdC ZZdDdE Z[dFdG Z\dHdI Z]dJdK Z^dLdM Z_dNdO Z`dPdQ ZadRdS ZbdTdU ZcdVdW ZddXdY ZedZd[ Zfd\d] Zgd^d_ Zhd`da Zidbdc Zjddde Zkdfdg Zldhdi Zmdjdk Zndldm Zodndo Zpdpdq Zqdrds Zrdtdu Zsdvdw Ztdxdy Zudzd{ Zvd|d} ZwdS )    )annotations)Any)GROUND_TYPES)raiseswarns_deprecated_sympy)Q)FunctionWildFunction)AlgebraicNumberFloatIntegerRational)S)DummySymbolWildsymbols)sympify)Abs)rootsqrt)sin)	Heaviside)falsetrue)Matrixones)MatrixSymbol)ImmutableDenseMatrix)CyclePermutation)Str)PointEllipse)srepr)ringfieldZZQQlexgrlexPoly)DMP)FiniteExtensionx,yr!   zdict[str, Any]ENVzfrom sympy import *Nc                 K  sN   |du rt }n	t  }t|| t| fi ||ksJ t||| ks%J dS )z
    sT := sreprTest

    Tests that srepr delivers the expected string and that
    the condition eval(srepr(expr))==expr holds.
    N)r/   copyexecr$   eval)exprstringimport_stmtkwargsENV2 r8   r/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/printing/tests/test_repr.pysT$   s   
r:   c                  C  s(   G dd dt } t| tdksJ d S )Nc                   @  s   e Zd Zdd ZdS )ztest_printmethod.<locals>.Rc                 S  s   d| | jd  S )Nzfoo(%s)r   )_printargs)selfprinterr8   r8   r9   
_sympyrepr7   s   z&test_printmethod.<locals>.R._sympyreprN)__name__
__module____qualname__r?   r8   r8   r8   r9   R6   s    rC   zfoo(Symbol('x')))r   r$   x)rC   r8   r8   r9   test_printmethod5   s   rE   c                   C  sf   t tt d ttd d dddksJ ttd d dddks#J ttd	d
ddddks1J d S )NzAdd(Symbol('x'), Symbol('y'))      r)   orderz-Add(Pow(Symbol('x'), Integer(2)), Integer(1))oldz-Add(Integer(1), Pow(Symbol('x'), Integer(2)))z	x + 3 - 2Fevaluatenonez:Add(Symbol('x'), Integer(3), Mul(Integer(-1), Integer(2)))r:   rD   yr$   r   r8   r8   r8   r9   test_Add<   s    rP   c                  C  sJ   ddl m}  ddlm} | |fD ]}|td }tt||ks"J qd S )Nr   )Add)Mulzx:256)sympy.core.addrQ   sympy.core.mulrR   r   r2   r$   )rQ   rR   opr3   r8   r8   r9   #test_more_than_255_args_issue_10259C   s   rV   c                   C  s<   t tdtd t tdd t ttd t td d S )NfzFunction('f')(Symbol('x'))zFunction('f')zsin(Symbol('x'))r   )r:   r   rD   r   r8   r8   r8   r9   test_FunctionK   s   rX   c                   C  s"   t ttd t ttdd d S )NzHeaviside(Symbol('x'))rG   z"Heaviside(Symbol('x'), Integer(1)))r:   r   rD   r8   r8   r8   r9   test_HeavisideT   s   rY   c                   C  s,   t tddd t ttddddd d S )Nr   zPoint2D(Integer(0), Integer(0))   rG   z@Ellipse(Point2D(Integer(0), Integer(0)), Integer(5), Integer(1)))r:   r"   r#   r8   r8   r8   r9   test_GeometryY   s   r[   c                   C  s  t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tj	d t tj
d	 t tjd
 t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd t tjd d S )NCatalanzoo
EulerGammaEGoldenRatioTribonacciConstantzRational(1, 2)Ioonanz-oozInteger(-1)z
Integer(1)piz
Integer(0)	ComplexesEmptySequenceEmptySetNaturals	Naturals0	RationalsRealsUniversalSet)r:   r   r\   ComplexInfinityr^   Exp1r`   ra   HalfImaginaryUnitInfinityNaNNegativeInfinityNegativeOneOnePiZerorf   rg   rh   ri   rj   rk   rl   rm   r8   r8   r8   r9   test_Singletons`   s.   ry   c                   C     t tdd d S )N   z
Integer(4))r:   r   r8   r8   r8   r9   test_Integer{      r|   c                   C  s   t ttdgd d S )Nr{   z[Symbol('x'), Integer(4)])r:   rD   r   r8   r8   r8   r9   	test_list      r~   c                  C  sz   t dftdffD ]2\} }t| td dgttt ggd|  t|  d|  t| td dgttt ggd|  qd S )NMutableDenseMatrixr   rG   zM%s([[Symbol('x'), Integer(1)], [Symbol('y'), Add(Symbol('x'), Symbol('y'))]])z%s([]))r   r   r:   rD   rO   )clsnamer8   r8   r9   test_Matrix   s   (r   c                   C  s4   t tddd t tddd t tddd d S )Nr      zMutableDenseMatrix(0, 3, [])r{   zMutableDenseMatrix(4, 0, [])zMutableDenseMatrix([]))r:   r   r8   r8   r8   r9   test_empty_Matrix   s   r   c                   C  s$   t tddd t tddd d S )NrG   r   zRational(1, 3)zRational(-1, 3))r:   r   r8   r8   r8   r9   test_Rational      r   c                   C  s   t tdddd t tdddd t tdd	dd
 t tdddd t tdddd t tdddd t tdddd
 t tdddd t tddd d S )Nz1.23r   )dpszFloat('1.22998', precision=13)z
1.23456789	   z$Float('1.23456788994', precision=33)z1.234567890123456789   z.Float('1.234567890123456789013', precision=66)z0.60038617995049726   z*Float('0.60038617995049726', precision=53)   )	precision!   B   5   )r:   r   r8   r8   r8   r9   
test_Float   s*   
r   c                   C  s*   t td t td t tdddd d S )NSymbol('x')zSymbol('y')rD   T)negativezSymbol('x', negative=True))r:   rD   rO   r   r8   r8   r8   r9   test_Symbol   s   

r   c                  C  sD   t dddd} d}d}t| ||fv sJ tt| t| ks J d S )NrD   r   rG   )r   integerz)Symbol('x', integer=True, negative=False)z)Symbol('x', negative=False, integer=True))r   r$   r2   r/   )rD   s1s2r8   r8   r9   test_Symbol_two_assumptions   s
   r   c                   C  sZ   t tdd t tdddd t tdddd t tdddd t tdd	dd d S )
NrD   r   F)commutativezSymbol('x', commutative=False)r   TzSymbol('x', commutative=True)rG   )r:   r   r8   r8   r8   r9   ,test_Symbol_no_special_commutative_treatment   s
   r   c                   C  s   t tdddd d S )NrD   T)evenzWild('x', even=True))r:   r   r8   r8   r8   r9   	test_Wild   r   r   c                  C  s    t d} t| dt| j  d S )NdzDummy('d', dummy_index=%s))r   r:   strdummy_index)r   r8   r8   r9   
test_Dummy   s   r   c                  C  sT   t ddd} | tt| ksJ dt| j }dt| j }t| ||fv s(J d S )Nr   T)nonzeroz(Dummy('d', dummy_index=%s, nonzero=True)z(Dummy('d', nonzero=True, dummy_index=%s))r   r2   r$   r   r   )r   r   r   r8   r8   r9   test_Dummy_assumption   s
   r   c                  C  s2   t ddd} |  }t|dt|j ksJ d S )NnTr   zDummy('n', dummy_index=%s))r   as_dummyr$   r   r   )r   r   r8   r8   r9   test_Dummy_from_Symbol   s
   r   c                   C  s   t tfd t ttfd d S )Nz(Symbol('x'),)z(Symbol('x'), Symbol('y')))r:   rD   rO   r8   r8   r8   r9   
test_tuple   s   r   c                   C  rz   )NwzWildFunction('w'))r:   r	   r8   r8   r8   r9   test_WildFunction   r}   r   c                   C  s   t tdd  d S )Nc                   S  s   t tddS )Ngarbage)method)r$   rD   r8   r8   r8   r9   <lambda>   s    ztest_settins.<locals>.<lambda>)r   	TypeErrorr8   r8   r8   r9   test_settins   r}   r   c                   C  sV   t dtd  t d tdtd  t dddksJ ttdddd	dd
ks)J d S )Nr   z:Mul(Integer(3), Pow(Symbol('x'), Integer(3)), Symbol('y'))rJ   rH   z:Mul(Integer(3), Symbol('y'), Pow(Symbol('x'), Integer(3)))z(x+4)*2*x*7FrK   rM   zFMul(Add(Symbol('x'), Integer(4)), Integer(2), Symbol('x'), Integer(7))rN   r8   r8   r8   r9   test_Mul   s     r   c                  C  s2   t td} t| d t tdd} t| d d S )NrF   zJAlgebraicNumber(Pow(Integer(2), Rational(1, 2)), [Integer(1), Integer(0)])r   zKAlgebraicNumber(Pow(Integer(-2), Rational(1, 3)), [Integer(1), Integer(0)]))r
   r   r:   r   )ar8   r8   r9   test_AlgebraicNumber   s   
r   c                   C  \   t tdttd dksJ t tdttd dksJ t tdtd td dks,J d S )	NrD   r   z!PolyRing((Symbol('x'),), ZZ, lex)r.   z/PolyRing((Symbol('x'), Symbol('y')), QQ, grlex)x,y,ztz=PolyRing((Symbol('x'), Symbol('y'), Symbol('z')), ZZ[t], lex))r$   r%   r'   r)   r(   r*   r8   r8   r8   r9   test_PolyRing      $r   c                   C  r   )	NrD   r   z"FracField((Symbol('x'),), ZZ, lex)r.   z0FracField((Symbol('x'), Symbol('y')), QQ, grlex)r   r   z>FracField((Symbol('x'), Symbol('y'), Symbol('z')), ZZ[t], lex))r$   r&   r'   r)   r(   r*   r8   r8   r8   r9   test_FracField   r   r   c                  C  s4   t dt\} }}td|d  | d dksJ d S )Nr.   r   rF   rG   zVPolyElement(PolyRing((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)]))r%   r'   r$   )rC   rD   rO   r8   r8   r9   test_PolyElement  s   $r   c                  C  s@   t dt\} }}td|d  | d ||d   dksJ d S )Nr.   r   rF   rG   ztFracElement(FracField((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)], [((1, 0), 1), ((0, 2), -1)]))r&   r'   r$   )FrD   rO   r8   r8   r9   test_FracElement  s   0r   c                   C  s6   t ttdksJ t tjtttddksJ d S )Nz1FractionField(FracField((Symbol('x'),), QQ, lex))rH   z?FractionField(FracField((Symbol('x'), Symbol('y')), QQ, grlex)))r$   r(   
frac_fieldrD   rO   r*   r8   r8   r8   r9   test_FractionField  s   r   c                   C  sP   t ttdksJ t tt tdksJ t tttdks&J d S )Nz%GlobalPolynomialRing(ZZ, Symbol('x'))z(GlobalPolynomialRing(ZZ[x], Symbol('y'))zTGlobalPolynomialRing(FractionField(FracField((Symbol('x'),), QQ, lex)), Symbol('y')))r$   r'   old_poly_ringrD   rO   r(   r   r8   r8   r8   r9   test_PolynomialRingBase  s   r   c                  C  sp   t ddgt} ttddg}tdkr&t| dksJ t|dks$J d S t| dks.J t|dks6J d S )NrG   rF   flintzDMP_Python([1, 2], ZZ)zDUP_Flint([1, 2], ZZ))r,   r'   r   rD   r   r$   )p1p2r8   r8   r9   test_DMP  s   r   c                   C  s&   t tttd d tdksJ d S )NrF   rG   z/FiniteExtension(Poly(x**2 + 1, x, domain='ZZ')))r$   r-   r+   rD   r8   r8   r8   r9   test_FiniteExtension'  s   r   c                  C  s>   t ttd d t} tdkrd}nd}t| j|ksJ d S )NrF   rG   r   zPExtElem(DMP_Python([1, 0], ZZ), FiniteExtension(Poly(x**2 + 1, x, domain='ZZ')))zOExtElem(DUP_Flint([1, 0], ZZ), FiniteExtension(Poly(x**2 + 1, x, domain='ZZ'))))r-   r+   rD   r   r$   	generator)Aansr8   r8   r9   test_ExtensionElement,  s
   r   c                   C  s$   t tdksJ t tdksJ d S )Nr   r   )r$   r   r   r8   r8   r8   r9   test_BooleanAtom4  r   r   c                   C     t tjd d S )NIntegers)r:   r   r   r8   r8   r8   r9   test_Integers9     r   c                   C  r   )Nri   )r:   r   ri   r8   r8   r8   r9   test_Naturals=  r   r   c                   C  r   )Nrj   )r:   r   rj   r8   r8   r8   r9   test_Naturals0A  r   r   c                   C  r   )Nrl   )r:   r   rl   r8   r8   r8   r9   
test_RealsE  r   r   c                  C  sN   t ddd} td| | }td| | }t|d t|| d t|| d d S )	Nr   Tr   r   BzLMatrixSymbol(Str('A'), Symbol('n', integer=True), Symbol('n', integer=True))zMatMul(MatrixSymbol(Str('A'), Symbol('n', integer=True), Symbol('n', integer=True)), MatrixSymbol(Str('B'), Symbol('n', integer=True), Symbol('n', integer=True)))zMatAdd(MatrixSymbol(Str('A'), Symbol('n', integer=True), Symbol('n', integer=True)), MatrixSymbol(Str('B'), Symbol('n', integer=True), Symbol('n', integer=True))))r   r   r:   )r   r   r   r8   r8   r9   test_matrix_expressionsI  s   
r   c                   C  s   t tdddksJ d S )NrG   rF   zCycle(1, 2))r$   r   r8   r8   r8   r9   
test_CycleR  s   r   c                  C  s   d} t tddddd| dd t tddddd	| d
d t  tj}dt_t tddddd|  |t_W d    d S 1 sBw   Y  d S )Nz+from sympy.combinatorics import PermutationrG   rF   r   r{   zPermutation([0, 2, 1, 4, 3])F)perm_cycliczPermutation(1, 2)(3, 4)T)r:   r    r   print_cyclic)r5   old_print_cyclicr8   r8   r9   test_PermutationZ  s   "r   c                  C  s|   ddl m} m}m} i }t|dksJ | |i}t|dks J | |||i}t|dv s.J | ||ii}t|dks<J d S )Nr   )rD   rO   zz{}z{Symbol('x'): Symbol('y')})z4{Symbol('x'): Symbol('y'), Symbol('y'): Symbol('z')}z4{Symbol('y'): Symbol('z'), Symbol('x'): Symbol('y')}z){Symbol('x'): {Symbol('y'): Symbol('z')}})	sympy.abcrD   rO   r   r$   )rD   rO   r   r   r8   r8   r9   	test_dicte  s   r   c                  C  sB   ddl m} m} t }t|dksJ | |h}t|dv sJ d S )Nr   )rD   rO   zset())z{Symbol('x'), Symbol('y')}z{Symbol('y'), Symbol('x')})r   rD   rO   setr$   )rD   rO   sr8   r8   r9   test_sets  s
   r   c                   C  r   )NzQ.even)r:   r   r   r8   r8   r8   r9   test_Predicatez  r   r   c                   C  s   t ttdd d S )Nr   z%AppliedPredicate(Q.even, Symbol('z')))r:   r   r   r   r8   r8   r8   r9   test_AppliedPredicate}  s   r   )N)x
__future__r   typingr   sympy.external.gmpyr   sympy.testing.pytestr   r   sympy.assumptions.askr   sympy.core.functionr   r	   sympy.core.numbersr
   r   r   r   sympy.core.singletonr   sympy.core.symbolr   r   r   r   sympy.core.sympifyr   $sympy.functions.elementary.complexesr   (sympy.functions.elementary.miscellaneousr   r   (sympy.functions.elementary.trigonometricr   'sympy.functions.special.delta_functionsr   sympy.logic.boolalgr   r   sympy.matrices.denser   r   "sympy.matrices.expressions.matexprr   sympy.matrices.immutabler   sympy.combinatoricsr   r    r!   sympy.geometryr"   r#   sympy.printingr$   sympy.polysr%   r&   r'   r(   r)   r*   r+   sympy.polys.polyclassesr,   sympy.polys.agca.extensionsr-   rD   rO   r/   __annotations__r1   r:   rE   rP   rV   rX   rY   r[   ry   r|   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r8   r8   r8   r9   <module>   s    $

	
			