Addition of two polynomials

The following procedures enable to add polynomials with real,interval or integer coefficients:

 
VECTOR Add_Polynomial_Interval(int n1,VECTOR &Coeff1,int n2,VECTOR &Coeff2);
INTERVAL_VECTOR Add_Polynomial_Interval(int n1,INTERVAL_VECTOR &Coeff1,
                  int n2,INTERVAL_VECTOR &Coeff2);
INTEGER_VECTOR Add_Polynomial_Interval(int n1,INTEGER_VECTOR &Coeff1,
      int n2,INTEGER_VECTOR &Coeff2);

with:

• ni: degree of the polynomial
• Coeffi: the coefficients of the polynomials in increasing degree

There is also a version which take into account rounding errors:

 
INTERVAL_VECTOR Add_Polynomial_Safe_Interval(int n1,VECTOR &Coeff1,int n2,VECTOR &Coeff2);