\hESSKJr SSKJr SSKJr "SS\5r\"5r\S5rSSjr SS \ S 4S jr SS jr S r Sr Srg ))contextmanager)local expand_mulc\rSrSrSrSrg)DotProdSimpStatecSUlgNstate)selfs P/var/www/auris/envauris/lib/python3.13/site-packages/sympy/matrices/utilities.py__init__DotProdSimpState.__init__s  r N)__name__ __module__ __qualname____firstlineno__r__static_attributes__rrrrsrrc## [RnU[lSv U[lg!U[lf=f7fr _dotprodsimp_stater )xolds r dotprodsimpr s3  " "C'#$  #& 3 s?/ ? <?cSSKJn U"XS9$)z;Wrapper for simplify.dotprodsimp to avoid circular imports.r)r)withsimp)sympy.simplify.simplifyr)exprr dpss r _dotprodsimpr$s: t ''rcU$r rrs rr'sQrcU$r rr&s rr'r's!rNcnUSLd[RSLaU$USLd[RSLaU$U$)aSupport function for controlling intermediate simplification. Returns a simplification function according to the global setting of dotprodsimp operation. ``deffunc`` - Function to be used by default. ``offfunc`` - Function to be used if dotprodsimp has been turned off. ``onfunc`` - Function to be used if dotprodsimp has been turned on. ``dotprodsimp`` - True, False or None. Will be overridden by global _dotprodsimp_state.state if that is not None. FTr)deffuncofffunconfuncrs r_get_intermediate_simpr-s?e1775@d066$> Nrc[USSU5$)zUSame as ``_get_intermediate_simp`` but returns bools instead of functions by default.FT)r-)defaultrs r_get_intermediate_simp_boolr03s "'5$ DDrc[USS5$)zReturns True if x is zero.is_zeroN)getattrr&s r_iszeror4:s 1i &&rc[U5S:H$)zJTests by expand_mul only, suitable for polynomials and rational functions.rrr&s r_is_zero_after_expand_mulr6?s a=A rcSSKJn U"U5$)z#Wrapper to avoid circular imports. r)simplify)r!r8)r"r8s r _simplifyr9Es0 D>r)F)FN) contextlibr threadingrsympy.core.functionrrrrr$r-r0r4r6r9rrrr=sb%*u&'''( $/ *E'  r