idZddddddddd d d d d ddZideddeddeddeddeddeddeddeddeddeddeddeddeddedded d!ed d"eded ed eded ed ed d#Zd$Zd%Zd&Zd'Zd(Zd)Zd*Z eeeeeee d+Z d,Z ejZ ed e d-<ed e d.<ed e d/<ed e d0<ed e d1<ed e d2<ede d3<ede d4<ed dz e d5<ed dz e d6<ed dz e d7<ed dz e d8<ed dz e d9<ed dz e d:<ede d;<ede d<<ede d=<ede d><ede d?<e d5e d@<dAZyB)Cz>A module providing information about the necessity of brackets #(2<Fdi$%&)LambdaXorOrAnd RelationalAddMulPowFuncNotAtom BitwiseOr BitwiseXor BitwiseAnd EquivalentrImpliesrrrrrSubrFunctionrNegativeInfinityMatAddMatPow MatrixSolverModTensAdd)TensMulHadamardProduct HadamardPowerKroneckerProductEquality Unequalitycddlmtfd|jDr tdS|j r tdStdS)N)r c3K|]6}t|dxr$t|xr|jtdk8yw) precedencerN)hasattr isinstancer0 PRECEDENCE).0argr s n/Volumes/fast/ai/experiments/voice-extract-mac/.venv/lib/python3.12/site-packages/sympy/printing/precedence.py z!precedence_Mul..?sJ D9B# 3 % .*S(*C . >>Ju- - .9BscD|jdkr tdStdSNr.rrr@rBs r6precedence_IntegerrFNs# vvz%  f r>c0|dkr tdStdSrE)r3rBs r6precedence_FloatrHTs ax%  f r>c|jr tdS|jrt|j dS|j r tdStdS)Nrrrr) is_generatorr3 is_groundr0coeffis_termrBs r6precedence_PolyElementrNZsM &!! $**Q-(( %  %  r>c\|jdk(rt|jStdS)Nrr)denomrNnumerr3rBs r6precedence_FracElementrRes' zzQ%djj11%  r>c8t|jddz S)Nr.g?)r0r:rBs r6precedence_UnevaluatedExprrTls diil #c ))r>)IntegerrRationalFloat PolyElement FracElementUnevaluatedExprct|dr |jSt|tsUt|j D]9}|j }|t vrt ||cS|tvs0t|cStdS)zZReturns the precedence of a given object. This is the precedence for StrPrinter. r0r) r1r0r2typemro__name__PRECEDENCE_FUNCTIONSPRECEDENCE_VALUESr3)r<ins r6r0r0{sz t\" dD !d!A A((+A.t44''(++ " f r>IntegralSumProductLimit Derivative TensorProduct TransposeAdjointDotCrossGradient DivergenceCurl LaplacianUnion Intersection ComplementSymmetricDifference ProductSet DotProductcddlm}t||rt|jdS|j j }|tvr t|St|S)zReturns the precedence of a given object according to the traditional rules of mathematics. This is the precedence for the LaTeX and pretty printer. r.)rZ) sympy.core.exprrZr2precedence_traditionalr: __class__r^PRECEDENCE_TRADITIONALr0)r<rZrbs r6ryrysR0$(%diil33 A ""%a(( d r>N)__doc__r3r`r=rCrFrHrNrRrTr_r0copyr{ryr>r6rsRD      **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|$0:50A,-'1%'8|$'=e'D|$r>