U
    	-e1                     @  s  U 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-m.Z.m/Z/ d dlm0Z0 d dl1m2Z2m3Z3 d dl4m5Z5 d dl6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z= d dl>m?Z? d dl@mAZA ed\ZBZCde0iZDdeEd< eFdeD d}dd ZGd!d" ZHd#d$ ZId%d& ZJd'd( ZKd)d* ZLd+d, ZMd-d. ZNd/d0 ZOd1d2 ZPd3d4 ZQd5d6 ZRd7d8 ZSd9d: ZTd;d< ZUd=d> ZVd?d@ ZWdAdB ZXdCdD ZYdEdF ZZdGdH Z[dIdJ Z\dKdL Z]dMdN Z^dOdP Z_dQdR Z`dSdT ZadUdV ZbdWdX ZcdYdZ Zdd[d\ Zed]d^ Zfd_d` Zgdadb Zhdcdd Zidedf Zjdgdh Zkdidj Zldkdl Zmdmdn Zndodp Zodqdr Zpdsdt Zqdudv Zrdwdx Zsdydz Ztd{d| ZudS )~    )annotations)Any)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  sJ   |dkrt }nt  }t|| t| f||ks4tt||| ksFt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#   AssertionErroreval)exprstringimport_stmtkwargsZENV2 r7   _/var/www/html/Darija-Ai-Train/env/lib/python3.8/site-packages/sympy/printing/tests/test_repr.pysT#   s    
r9   c                  C  s(   G dd dt } t| tdks$td S )Nc                   @  s   e Zd Zdd ZdS )ztest_printmethod.<locals>.Rc                 S  s   d| | jd  S )Nzfoo(%s)r   )Z_printargs)selfprinterr7   r7   r8   
_sympyrepr6   s    z&test_printmethod.<locals>.R._sympyreprN)__name__
__module____qualname__r=   r7   r7   r7   r8   R5   s   rA   zfoo(Symbol('x')))r   r#   xr1   )rA   r7   r7   r8   test_printmethod4   s    rC   c                   C  sf   t tt d ttd d dddks*tttd d dddksFtttd	d
ddddksbtd S )NzAdd(Symbol('x'), Symbol('y'))      r(   orderz-Add(Pow(Symbol('x'), Integer(2)), Integer(1))oldz-Add(Integer(1), Pow(Symbol('x'), Integer(2)))z	x + 3 - 2Fevaluatenonez:Add(Symbol('x'), Integer(3), Mul(Integer(-1), Integer(2)))r9   rB   yr#   r1   r   r7   r7   r7   r8   test_Add;   s    rN   c                  C  sJ   ddl m}  ddlm} | |fD ]$}|td }tt||ks tq d S )Nr   )Add)Mulzx:256)Zsympy.core.addrO   Zsympy.core.mulrP   r   r2   r#   r1   )rO   rP   opr3   r7   r7   r8   #test_more_than_255_args_issue_10259B   s
    rR   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   )r9   r   rB   r   r7   r7   r7   r8   test_FunctionJ   s    rT   c                   C  s"   t ttd t ttdd d S )NzHeaviside(Symbol('x'))rE   z"Heaviside(Symbol('x'), Integer(1)))r9   r   rB   r7   r7   r7   r8   test_HeavisideS   s    rU   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))   rE   z@Ellipse(Point2D(Integer(0), Integer(0)), Integer(5), Integer(1)))r9   r!   r"   r7   r7   r7   r8   test_GeometryX   s    rW   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CatalanZzoo
EulerGammaEGoldenRatioTribonacciConstantzRational(1, 2)IZoonanz-oozInteger(-1)z
Integer(1)piz
Integer(0)	ComplexesEmptySequenceEmptySetNaturals	Naturals0	RationalsRealsUniversalSet)r9   r   rX   ZComplexInfinityrY   ZExp1r[   r\   ZHalfZImaginaryUnitInfinityNaNNegativeInfinityZNegativeOneZOnePiZZeror`   ra   rb   rc   rd   re   rf   rg   r7   r7   r7   r8   test_Singletons_   s.    rl   c                   C  s   t tdd d S )N   z
Integer(4))r9   r   r7   r7   r7   r8   test_Integerz   s    rn   c                   C  s   t ttdgd d S )Nrm   z[Symbol('x'), Integer(4)])r9   rB   r   r7   r7   r7   r8   	test_list~   s    ro   c                  C  sz   t dftdffD ]d\} }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 )NZMutableDenseMatrixr   rE   zM%s([[Symbol('x'), Integer(1)], [Symbol('y'), Add(Symbol('x'), Symbol('y'))]])z%s([]))r   r   r9   rB   rM   )clsnamer7   r7   r8   test_Matrix   s    rr   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, [])rm   zMutableDenseMatrix(4, 0, [])zMutableDenseMatrix([]))r9   r   r7   r7   r7   r8   test_empty_Matrix   s    rt   c                   C  s$   t tddd t tddd d S )NrE   rs   zRational(1, 3)zRational(-1, 3))r9   r   r7   r7   r7   r8   test_Rational   s    rv   c                   C  s   t tdddd t tdddd t tdd	dd
 t tdddd t tdddd t tdddd t tdddd
 t tdddd t tddd d S )Nz1.23rs   )ZdpszFloat('1.22998', precision=13)z
1.23456789	   z$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   )r9   r
   r7   r7   r7   r8   
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')rB   T)negativezSymbol('x', negative=True))r9   rB   rM   r   r7   r7   r7   r8   test_Symbol   s    

r   c                  C  sD   t dddd} d}d}t| ||fks*ttt| t| ks@td S )NrB   r   rE   )r   integerz)Symbol('x', integer=True, negative=False)z)Symbol('x', negative=False, integer=True))r   r#   r1   r2   r.   )rB   s1s2r7   r7   r8   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 )
NrB   r   F)ZcommutativezSymbol('x', commutative=False)r   TzSymbol('x', commutative=True)rE   )r9   r   r7   r7   r7   r8   ,test_Symbol_no_special_commutative_treatment   s
    r   c                   C  s   t tdddd d S )NrB   T)evenzWild('x', even=True))r9   r   r7   r7   r7   r8   	test_Wild   s    r   c                  C  s    t d} t| dt| j  d S )NdzDummy('d', dummy_index=%s))r   r9   strdummy_index)r   r7   r7   r8   
test_Dummy   s    r   c                  C  sT   t ddd} | tt| ks tdt| j }dt| j }t| ||fksPtd S )Nr   T)Znonzeroz(Dummy('d', dummy_index=%s, nonzero=True)z(Dummy('d', nonzero=True, dummy_index=%s))r   r2   r#   r1   r   r   )r   r   r   r7   r7   r8   test_Dummy_assumption   s
    r   c                  C  s2   t ddd} |  }t|dt|j ks.td S )NnTr   zDummy('n', dummy_index=%s))r   Zas_dummyr#   r   r   r1   )r   r   r7   r7   r8   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')))r9   rB   rM   r7   r7   r7   r8   
test_tuple   s    r   c                   C  s   t tdd d S )NwzWildFunction('w'))r9   r   r7   r7   r7   r8   test_WildFunction   s    r   c                   C  s   t tdd  d S )Nc                   S  s   t tddS )Ngarbage)method)r#   rB   r7   r7   r7   r8   <lambda>       ztest_settins.<locals>.<lambda>)r   	TypeErrorr7   r7   r7   r8   test_settins   s    r   c                   C  sV   t dtd  t d tdtd  t dddks6tttdddd	dd
ksRtd S )Nrs   z:Mul(Integer(3), Pow(Symbol('x'), Integer(3)), Symbol('y'))rH   rF   z:Mul(Integer(3), Symbol('y'), Pow(Symbol('x'), Integer(3)))z(x+4)*2*x*7FrI   rK   zFMul(Add(Symbol('x'), Integer(4)), Integer(2), Symbol('x'), Integer(7))rL   r7   r7   r7   r8   test_Mul   s     r   c                  C  s2   t td} t| d t tdd} t| d d S )NrD   zJAlgebraicNumber(Pow(Integer(2), Rational(1, 2)), [Integer(1), Integer(0)])rs   zKAlgebraicNumber(Pow(Integer(-2), Rational(1, 3)), [Integer(1), Integer(0)]))r	   r   r9   r   )ar7   r7   r8   test_AlgebraicNumber   s    
r   c                   C  s\   t tdttd dkstt tdttd dks8tt tdtd td dksXtd S )	NrB   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$   r&   r(   r1   r'   r)   r7   r7   r7   r8   test_PolyRing   s    r   c                   C  s\   t tdttd dkstt tdttd dks8tt tdtd td dksXtd S )	NrB   r   z"FracField((Symbol('x'),), ZZ, lex)r-   z0FracField((Symbol('x'), Symbol('y')), QQ, grlex)r   r   z>FracField((Symbol('x'), Symbol('y'), Symbol('z')), ZZ[t], lex))r#   r%   r&   r(   r1   r'   r)   r7   r7   r7   r8   test_FracField   s    r   c                  C  s4   t dt\} }}td|d  | d dks0td S )Nr-   rs   rD   rE   zVPolyElement(PolyRing((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)]))r$   r&   r#   r1   )rA   rB   rM   r7   r7   r8   test_PolyElement  s    r   c                  C  s@   t dt\} }}td|d  | d ||d   dks<td S )Nr-   rs   rD   rE   ztFracElement(FracField((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)], [((1, 0), 1), ((0, 2), -1)]))r%   r&   r#   r1   )FrB   rM   r7   r7   r8   test_FracElement  s    r   c                   C  s6   t ttdkstt tjtttddks2td S )Nz1FractionField(FracField((Symbol('x'),), QQ, lex))rF   z?FractionField(FracField((Symbol('x'), Symbol('y')), QQ, grlex)))r#   r'   
frac_fieldrB   r1   rM   r)   r7   r7   r7   r8   test_FractionField  s    r   c                   C  sP   t ttdkstt tt tdks0tt tttdksLt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_ringrB   r1   rM   r'   r   r7   r7   r7   r8   test_PolynomialRingBase  s    r   c                   C  s<   t tddgtdkstt ttddgdks8td S )NrE   rD   zDMP([1, 2], ZZ)z;DMP([1, 2], ZZ, ring=GlobalPolynomialRing(ZZ, Symbol('x'))))r#   r+   r&   r1   r   rB   r7   r7   r7   r8   test_DMP  s    r   c                   C  s&   t tttd d tdks"td S )NrD   rE   z/FiniteExtension(Poly(x**2 + 1, x, domain='ZZ')))r#   r,   r*   rB   r1   r7   r7   r7   r8   test_FiniteExtension!  s    r   c                  C  s,   t ttd d t} t| jdks(td S )NrD   rE   zuExtElem(DMP([1, 0], ZZ, ring=GlobalPolynomialRing(ZZ, Symbol('x'))), FiniteExtension(Poly(x**2 + 1, x, domain='ZZ'))))r,   r*   rB   r#   	generatorr1   )Ar7   r7   r8   test_ExtensionElement&  s    r   c                   C  s$   t tdkstt tdks td S )Nr   r   )r#   r   r1   r   r7   r7   r7   r8   test_BooleanAtom,  s    r   c                   C  s   t tjd d S )NIntegers)r9   r   r   r7   r7   r7   r8   test_Integers1  s    r   c                   C  s   t tjd d S )Nrc   )r9   r   rc   r7   r7   r7   r8   test_Naturals5  s    r   c                   C  s   t tjd d S )Nrd   )r9   r   rd   r7   r7   r7   r8   test_Naturals09  s    r   c                   C  s   t tjd d S )Nrf   )r9   r   rf   r7   r7   r7   r8   
test_Reals=  s    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   r9   )r   r   r   r7   r7   r8   test_matrix_expressionsA  s    
r   c                   C  s   t tdddkstd S )NrE   rD   zCycle(1, 2))r#   r   r1   r7   r7   r7   r8   
test_CycleJ  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 0 tj}dt_t tddddd|  |t_W 5 Q R X d S )Nz+from sympy.combinatorics import PermutationrE   rD   rs   rm   zPermutation([0, 2, 1, 4, 3])F)Zperm_cycliczPermutation(1, 2)(3, 4)T)r9   r   r   Zprint_cyclic)r5   Zold_print_cyclicr7   r7   r8   test_PermutationR  s    r   c                  C  s|   ddl m} m}m} i }t|dks(t| |i}t|dks@t| |||i}t|dks\t| ||ii}t|dksxtd S )Nr   )rB   rM   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.abcrB   rM   r   r#   r1   )rB   rM   r   r   r7   r7   r8   	test_dict]  s    r   c                  C  sB   ddl m} m} t }t|dks&t| |h}t|dks>td S )Nr   )rB   rM   zset())z{Symbol('x'), Symbol('y')}z{Symbol('y'), Symbol('x')})r   rB   rM   setr#   r1   )rB   rM   sr7   r7   r8   test_setk  s
    r   c                   C  s   t tjd d S )NzQ.even)r9   r   r   r7   r7   r7   r8   test_Predicater  s    r   c                   C  s   t ttdd d S )Nr   z%AppliedPredicate(Q.even, Symbol('z')))r9   r   r   r   r7   r7   r7   r8   test_AppliedPredicateu  s    r   )N)v
__future__r   typingr   Zsympy.testing.pytestr   r   Zsympy.assumptions.askr   Zsympy.core.functionr   r   Zsympy.core.numbersr	   r
   r   r   Zsympy.core.singletonr   Zsympy.core.symbolr   r   r   r   Zsympy.core.sympifyr   Z$sympy.functions.elementary.complexesr   Z(sympy.functions.elementary.miscellaneousr   r   Z(sympy.functions.elementary.trigonometricr   Z'sympy.functions.special.delta_functionsr   Zsympy.logic.boolalgr   r   Zsympy.matrices.denser   r   Z"sympy.matrices.expressions.matexprr   Zsympy.matrices.immutabler   Zsympy.combinatoricsr   r   r    Zsympy.geometryr!   r"   Zsympy.printingr#   Zsympy.polysr$   r%   r&   r'   r(   r)   r*   Zsympy.polys.polyclassesr+   Zsympy.polys.agca.extensionsr,   rB   rM   r.   __annotations__r0   r9   rC   rN   rR   rT   rU   rW   rl   rn   ro   rr   rt   rv   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r7   r7   r7   r8   <module>   s    $

	
			