OtjRddlmZddlmZddlmZddlmZGddeZdS) )S)_sympify)Poly) MatrixExprcDeZdZdZfdZedZdZdZxZ S)CompanionMatrixaA symbolic companion matrix of a polynomial. Examples ======== >>> from sympy import Poly, Symbol, symbols >>> from sympy.matrices.expressions import CompanionMatrix >>> x = Symbol('x') >>> c0, c1, c2, c3, c4 = symbols('c0:5') >>> p = Poly(c0 + c1*x + c2*x**2 + c3*x**3 + c4*x**4 + x**5, x) >>> CompanionMatrix(p) CompanionMatrix(Poly(x**5 + c4*x**4 + c3*x**3 + c2*x**2 + c1*x + c0, x, domain='ZZ[c0,c1,c2,c3,c4]')) ct|}t|ts"td||js"td||js"td||dks"td|t ||S)Nz{} must be a Poly instance.z{} must be a monic polynomial.z#{} must be a univariate polynomial.rz${} must have degree not less than 1.) r isinstancer ValueErrorformatis_monic is_univariatedegreesuper__new__)clspoly __class__s b/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/sympy/matrices/expressions/companion.pyrzCompanionMatrix.__new__s~~$%% I:AA$GGHH H} L=DDTJJKK K! D5<r6s""""""''''''&&&&&&0<0<0<0<0