o i@sndZddddddddd d d d d ddZideddeddeddeddeddeddeddeddeddeddeddeddeddedded d!ed d"eded ed eded ed ed d#Zd$d%Zd&d'Zd(d)Zd*d+Zd,d-Zd.d/Zd0d1Z eeeeeee d2Z d3d4Z e Z ed e d5<ed e d6<ed e d7<ed e d8<ed e d9<ed e d:<ede d;<ede d<<ed de d=<ed de d><ed de d?<ed de d@<ed de dA<ed de dB<ede dC<ede dD<ede dE<ede dF<ede dG<e d=e dH<dIdJZdKS)Lz>A module providing information about the necessity of brackets #(2<Fdi$%&)LambdaXorOrAnd RelationalAddMulPowFuncNotAtomZ BitwiseOrZ BitwiseXorZ BitwiseAndZ EquivalentrZImpliesrrrrrSubrFunctionrNegativeInfinityZMatAddZMatPowZ MatrixSolverModZTensAdd)ZTensMulZHadamardProductZ HadamardPowerZKroneckerProductZEqualityZ UnequalitycsDddlmtfdd|jDrtdS|rtdStdS)Nrc3s2|]}t|dot|o|jtdkVqdS) precedencerN)hasattr isinstancer PRECEDENCE).0argrh/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/sympy/printing/precedence.py ?s   z!precedence_Mul..rr)Zsympy.core.functionranyargsr"Zcould_extract_minus_signitemr%rr&precedence_Mul=s  r,cC|jdkr tdStdS)Nrrrpr"r*r%r%r&precedence_RationalH r0cCr-Nrrrr.r*r%r%r&precedence_IntegerNr1r3cCs|dkrtdStdSr2)r"r*r%r%r&precedence_FloatTsr4cCs8|jrtdS|jrt|dS|jrtdStdS)Nrrrr)Z is_generatorr"Z is_groundrZcoeffZis_termr*r%r%r&precedence_PolyElementZsr5cCs|jdkr t|jStdS)Nrr)denomr5Znumerr"r*r%r%r&precedence_FracElementes  r7cCst|jddS)Nrg?)rr)r*r%r%r&precedence_UnevaluatedExprlsr8)IntegerrRationalFloatZ PolyElementZ FracElementUnevaluatedExprcCsft|dr|jSt|ts/t|D]}|j}|tvr$t||S|tvr.t|SqtdS)zZReturns the precedence of a given object. This is the precedence for StrPrinter. rr) r rr!typemro__name__PRECEDENCE_FUNCTIONSPRECEDENCE_VALUESr")r+inr%r%r&r{s   rIntegralZSumZProductZLimitZ DerivativeZ TensorProductZ TransposeZAdjointZDotZCrossZGradientZ DivergenceZCurlZ LaplacianUnionZ IntersectionZ ComplementZSymmetricDifferenceZ ProductSetZ DotProductcCsDddlm}t||rt|jdS|jj}|tvrt|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. r)r<) Zsympy.core.exprr<r!precedence_traditionalr) __class__r?PRECEDENCE_TRADITIONALr)r+r<rCr%r%r&rFs  rFN)__doc__r"rAr,r0r3r4r5r7r8r@rcopyrHrFr%r%r%r&s     #