wgqdZddddddddd d d d d ddZideddeddeddeddeddeddeddeddeddeddeddeddeddedded d!ed d"eded ed eded ed ed d#Zd$Zd%Zd&Zd'Zd(Zd)Zd*Z eeeeeee d+Z d,Z ejZ ed e d-<ed e d.<ed e d/<ed e d0<ed e d1<ed e d2<ede d3<ede d4<ed dz e d5<ed dz e d6<ed dz e d7<ed dz e d8<ed dz e d9<ed dz e d:<ede d;<ede d<<ede d=<ede d><ede d?<d@ZyA)Bz>A module providing information about the necessity of brackets #(2<Fdi$%&)LambdaXorOrAnd RelationalAddMulPowFuncNotAtom BitwiseOr BitwiseXor BitwiseAnd EquivalentrImpliesrrrrrSubrFunctionrNegativeInfinityMatAddMatPow MatrixSolverModTensAdd)TensMulHadamardProduct HadamardPowerKroneckerProductEquality UnequalitycF|jr tdStdS)Nrr)could_extract_minus_sign PRECEDENCEitems ^/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/sympy/printing/precedence.pyprecedence_Mulr3=s$ $$&%  e cD|jdkr tdStdS)Nrrpr/r0s r2precedence_Rationalr9Cs# vvz%  e r4cD|jdkr tdStdSNr6rrr7r0s r2precedence_Integerr<Is# vvz%  f r4c0|dkr tdStdSr;)r/r0s r2precedence_Floatr>Os ax%  f r4c|jr tdS|jrt|j dS|j r tdStdS)Nrrrr) is_generatorr/ is_ground precedencecoeffis_termr0s r2precedence_PolyElementrEUsM &!! $**Q-(( %  %  r4c\|jdk(rt|jStdS)Nrr)denomrEnumerr/r0s r2precedence_FracElementrI`s' zzQ%djj11%  r4c8t|jddz S)Nr6g?)rBargsr0s r2precedence_UnevaluatedExprrLgs diil #c ))r4)IntegerrRationalFloat PolyElement FracElementUnevaluatedExprct|dr |jSt|tsUt|j D]9}|j }|t vrt ||cS|tvs0t|cStdS)zZReturns the precedence of a given object. This is the precedence for StrPrinter. rBr) hasattrrB isinstancetypemro__name__PRECEDENCE_FUNCTIONSPRECEDENCE_VALUESr/)r1ins r2rBrBvs t\" dD !d! ,A A((+A.t44''(++  , f r4IntegralSumProductLimit Derivative TensorProduct TransposeAdjointDotCrossGradient DivergenceCurl LaplacianUnion Intersection ComplementSymmetricDifference ProductSetcddlm}t||rt|jdS|j j }|tvr t|St|S)zReturns the precedence of a given object according to the traditional rules of mathematics. This is the precedence for the LaTeX and pretty printer. r6)rR) sympy.core.exprrRrUprecedence_traditionalrK __class__rXPRECEDENCE_TRADITIONALrB)r1rRr\s r2rrrrsR0$(%diil33 A ""%a(( d r4N)__doc__r/rZr3r9r<r>rErIrLrYrBcopyrtrrr4r2rxsBD      **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