The condition number of a polynomial may be defined either as the ratio lowest root over largest root or as the ratio over where are the roots of the polynomial. In the later case the condition number has a value between 0 and 1. The minimal and maximal values of the condition number of a parametric polynomial in both form may be calculated using the procedure:

int ALIAS_Min_Max_CN(int Degree, int Nb_Parameter,INTERVAL_VECTOR (* TheCoeff)(INTERVAL_VECTOR &), int Nb_Constraints,INTEGER_VECTOR &Type_Eq, int (* TheMatrix)(INTERVAL_VECTOR &, INTERVAL_MATRIX &), int Has_Matrix, INTERVAL_VECTOR (* IntervalFunction)(int,int,INTERVAL_VECTOR &), int Has_Gradient, INTERVAL_MATRIX (* Gradient)(int, int,INTERVAL_VECTOR &), INTERVAL & TheDomain,INTERVAL_VECTOR & TheDomain_Parameter, int Type, int Nb_Points,int Absolute, int rand,int Iteration, double Accuracy_Variable,double Accuracy,double AccuracyM, INTERVAL &Lowest,INTERVAL &Highest, INTERVAL_MATRIX &Place,int Stop, double *Seuil, int (* Solve_Poly)(double *, int *,double *), int (* Simp_Proc)(INTERVAL_VECTOR &))where the arguments are identical than for the previous procedure except for:

`Absolute`: 0 if looking for the ratio minimal root over maximal root, 1 if looking for the ratio in absolute value`AccuracyM`: the accuracy with which the ratio will be computed`Lowest, Highest`: minimal and maximal value of the condition number

- 1: mode 1 of section 2.4.1.3
- 2: mode 6 of section 2.4.1.3 if the gradient is not available
- 3,4: mode 1 of section 2.4.1.3
- 5: mode 5 of section 2.4.1.3