EddZddddddddd d d d d ddZideddeddeddeddeddeddeddeddeddeddeddeddeddedded d!ed d"eded ed eded ed ed d#Zd$Zd%Zd&Zd'Zd(Zd)Zd*Z eeeeeee d+Z d,Z e Z ed e d-<ed e d.<ed e d/<ed e d0<ed e d1<ed e d2<ede d3<ede d4<ed dz e d5<ed dz e d6<ed dz e d7<ed dz e d8<ed dz e d9<ed dz e d:<ede d;<ede d<<ede d=<ede d><ede d?<d@ZdAS)Bz>A module providing information about the necessity of brackets #(2<Fdi$%&)LambdaXorOrAnd RelationalAddMulPowFuncNotAtom BitwiseOr BitwiseXor BitwiseAnd EquivalentrImpliesrrrrrSubrFunctionrNegativeInfinityMatAddMatPow MatrixSolverModTensAdd)TensMulHadamardProduct HadamardPowerKroneckerProductEquality Unequalityc^|r tdStdS)Nrr)could_extract_minus_sign PRECEDENCEitems 9lib/python3.11/site-packages/sympy/printing/precedence.pyprecedence_Mulr3=s, $$&&!%  e cL|jdkr tdStdS)Nrrpr/r0s r2precedence_Rationalr9Cs& vz!%  e r4cL|jdkr tdStdSNr6rrr7r0s r2precedence_Integerr<Is& vz!%  f r4cB|dkr tdStdSr;)r/r0s r2precedence_Floatr>Os$ ax!%  f r4c|jr tdS|jr"t|dS|jr tdStdS)Nrrrr) is_generatorr/ is_ground precedencecoeffis_termr0s r2precedence_PolyElementrEUsZ !&!! !$**Q--((( !%  %  r4cZ|jdkrt|jStdS)Nrr)denomrEnumerr/r0s r2precedence_FracElementrI`s+ zQ!%dj111%  r4c<t|jddz S)Nr6g?)rBargsr0s r2precedence_UnevaluatedExprrLgs dil # #c ))r4)IntegerrRationalFloat PolyElement FracElementUnevaluatedExprc(t|dr|jS |jj}n#t$rt dcYSwxYw|D]A}|j}|tvrt||cS|tvrt|cSBt dS)zZReturns the precedence of a given object. This is the precedence for StrPrinter. rBr) hasattrrB __class____mro__AttributeErrorr/__name__PRECEDENCE_FUNCTIONSPRECEDENCE_VALUES)r1mroins r2rBrBvs t\"""n$ """&!!!!" (( J $ $ ('*400 0 0 0 # # ($Q' ' ' ' ( f s &AAIntegralSumProductLimit Derivative TensorProduct TransposeAdjointDotCrossGradient DivergenceCurl LaplacianUnion Intersection ComplementSymmetricDifference ProductSetcddlm}t||rt|jdS|jj}|tvr t|St|S)zReturns the precedence of a given object according to the traditional rules of mathematics. This is the precedence for the LaTeX and pretty printer. r6)rR) sympy.core.exprrR isinstanceprecedence_traditionalrKrUrXPRECEDENCE_TRADITIONALrB)r1rRr]s r2rtrtsm0/////$((4%dil333 A "")%a(( d  r4N)__doc__r/rZr3r9r<r>rErIrLrYrBcopyrurtr4r2rysDD      **U# :e z%  *T    :e    :e   :e *\* :e  :e F# 5) j j:e$  :e !"z% #&% !%(&"5)5!U#1F    !!!!!!*** " # ))1($**%/%6z" *5 1u$.u$5y!",U"3w'1%'8|$*4U*;'&0&7{#$.u$5y! *5 1A 5u",U"3a"7w%/%6%:z"'1%'81'<|$!+E!2Q!6v&0&7!&;{#",U"3w)3E):~&'1%'8|$0:50A,-'1%'8|$r4