+ iE^RIHt^RIHt^RIHt!RR]4t]!4t]R4tRRlt RR ] R 3R lt RR lt R t Rt RtR #))contextmanager)local expand_mulc&a]tRt^toRtRtVtR#)DotProdSimpStatecRVnR#Nstate)selfs&x/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/matrices/utilities.py__init__DotProdSimpState.__init__s  r N)__name__ __module__ __qualname____firstlineno__r__static_attributes____classdictcell__) __classdict__s@rrrsrrc#"\PpV\nRxV\nR# T\ni;i5ir _dotprodsimp_stater )xolds& r dotprodsimpr s3  " "C'#$  #& 3 sA0 A =Ac ^RIHpV!WR7#)z;Wrapper for simplify.dotprodsimp to avoid circular imports.)r)withsimp)sympy.simplify.simplifyr)exprr dpss&& r _dotprodsimpr$s: t ''rcV#r rs&rr(sQrcV#r r&r's&rr(r(s!rNcvVRJg\PRJdV#VRJg\PRJdV#V#)aSupport function for controlling intermediate simplification. Returns a simplification function according to the global setting of dotprodsimp operation. ``deffunc`` - Function to be used by default. ``offfunc`` - Function to be used if dotprodsimp has been turned off. ``onfunc`` - Function to be used if dotprodsimp has been turned on. ``dotprodsimp`` - True, False or None. Will be overridden by global _dotprodsimp_state.state if that is not None. FTr)deffuncofffunconfuncrs&&&&r_get_intermediate_simpr.s?e1775@d066$> Nrc\VRRV4#)zUSame as ``_get_intermediate_simp`` but returns bools instead of functions by default.FT)r.)defaultrs&&r_get_intermediate_simp_boolr13s "'5$ DDrc\VRR4#)zReturns True if x is zero.is_zeroN)getattrr's&r_iszeror5:s 1i &&rc\V4^8H#)zJTests by expand_mul only, suitable for polynomials and rational functions.rr's&r_is_zero_after_expand_mulr7?s a=A rc^RIHpV!V4#)z#Wrapper to avoid circular imports. )simplify)r!r9)r"r9s& r _simplifyr:Es0 D>r)F)FN) contextlibr threadingrsympy.core.functionrrrrr$r.r1r5r7r:r&rrr>sb%*u&'''( $/ *E'  r