EdEddlmZddlmZddlmZGddeZeZedZddZ d d e d fd Z dd Z dZ dZ dZd S))contextmanager)local expand_mulceZdZdZdS)DotProdSimpStatecd|_dSN)state)selfs 8lib/python3.11/site-packages/sympy/matrices/utilities.py__init__zDotProdSimpState.__init__s  N)__name__ __module__ __qualname__rrr rrs#rrc#~Ktj} |t_dV|t_dS#|t_wxYwr _dotprodsimp_stater )xolds r dotprodsimpr sI  "C'#$  #&   3 &&&&s.<Fc(ddlm}|||S)z;Wrapper for simplify.dotprodsimp to avoid circular imports.r)r)withsimp)sympy.simplify.simplifyr)exprrdpss r _dotprodsimprs):::::: 3th ' ' ''rc|Sr rrs r r"sQrc|Sr rr!s r r"r"s!rNcV|dustjdur|S|dustjdur|S|S)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(sMe175@d06$> Nrc&t|dd|S)zYSame as ``_get_intermediate_simp`` but returns bools instead of functions by default.FT)r()defaultrs r _get_intermediate_simp_boolr+3s "'5$ D DDrc$t|ddS)zReturns True if x is zero.is_zeroN)getattrr!s r _iszeror/:s 1i & &&rc(t|dkS)zNTests by expand_mul only, suitable for polynomials and rational functions.rrr!s r _is_zero_after_expand_mulr1?s a==A rc$ddlm}||S)z$ Wrapper to avoid circular imports. r)simplify)rr3)rr3s r _simplifyr4Es"000000 8D>>r)F)FN) contextlibr threadingrsympy.core.functionrrrrrr(r+r/r1r4rrr r8s%%%%%%******u&%'''''(((( $/; *EEEE'''  r