o 3Ih@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 RelationalAddMulPowFuncNotAtom BitwiseOr BitwiseXor BitwiseAnd EquivalentrImpliesrrrrrSubrFunctionrNegativeInfinityMatAddMatPow MatrixSolverModTensAdd)TensMulHadamardProduct HadamardPowerKroneckerProductEquality UnequalitycsDddlmtfdd|jDrtdS|rtdStdS)Nrc3s2|]}t|dot|o|jtdkVqdS) precedencerN)hasattr isinstancer. PRECEDENCE).0argr-Y/home/air/sanwanet/gpt-api/venv/lib/python3.10/site-packages/sympy/printing/precedence.py ?s   z!precedence_Mul..rr)sympy.core.functionranyargsr1could_extract_minus_signitemr4r-r5precedence_Mul=s  r=cC|jdkr tdStdS)Nr,rrpr1r;r4r4r5precedence_RationalH rAcCr>Nr,rrr?r;r4r4r5precedence_IntegerNrBrDcCs|dkrtdStdSrC)r1r;r4r4r5precedence_FloatTsrEcCs8|jrtdS|jrt|dS|jrtdStdS)Nrrrr) is_generatorr1 is_groundr.coeffis_termr;r4r4r5precedence_PolyElementZsrJcCs|jdkr t|jStdS)Nrr)denomrJnumerr1r;r4r4r5precedence_FracElementes  rMcCst|jddS)Nr,g?)r.r9r;r4r4r5precedence_UnevaluatedExprlsrN)IntegerrRationalFloat PolyElement 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. r.r) r/r.r0typemro__name__PRECEDENCE_FUNCTIONSPRECEDENCE_VALUESr1)r<inr4r4r5r.{s   r.IntegralSumProductLimit Derivative TensorProduct TransposeAdjointDotCrossGradient DivergenceCurl LaplacianUnion Intersection ComplementSymmetricDifference ProductSet 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,)rT) sympy.core.exprrTr0precedence_traditionalr9 __class__rWPRECEDENCE_TRADITIONALr.)r<rTr[r4r4r5rqs  rqN)__doc__r1rYr=rArDrErJrMrNrXr.copyrsrqr4r4r4r5s     #