SCIL::polynomial Class Reference

Polynomials.

#include <polynomial.h>

Public Member Functions
	polynomial ()
	Creates a polynomial with no entries.
	polynomial (const var &v)
	Creates the polynomial `v`.
	polynomial (const monomial &m)
	Creates the polynomial `m`.
	polynomial (const row &r)
	Creates the polynomial `r`.
std::list< monomial >	get_p () const
	Returns the list of all monomials.
double	value (solution &sol)
void	normalize (bool clean=false)
	Normalizes the polynomial.
polynomial &	operator+= (const polynomial &p)
	Adds `p` to the polynomial.
polynomial	operator+ (const polynomial &p)
	Creates the polynomial .
polynomial &	operator+= (const monomial &m)
	Adds `m` to the polynomial.
polynomial	operator+ (const monomial &m)
	Creates the polynomial .
polynomial &	operator+= (const row &r)
	Adds `r` to the polynomial.
polynomial	operator+ (const row &r)
	Creates the polynomial .
polynomial &	operator+= (const var &v)
	Adds `v` to the polynomial.
polynomial	operator+ (const var &v)
	Creates the polynomial .
polynomial &	operator-= (const polynomial &p)
	Subtracts `p` from the polynomial.
polynomial	operator- (const polynomial &p)
	Creates the polynomial .
polynomial &	operator-= (const monomial &m)
	Subtracts `m` from the polynomial.
polynomial	operator- (const monomial &m)
	Creates the polynomial .
polynomial &	operator-= (const row &r)
	Subtracts `r` from the polynomial.
polynomial	operator- (const row &r)
	Creates the polynomial .
polynomial &	operator-= (const var &v)
	Subtracts `v` from the polynomial.
polynomial	operator- (const var &v)
	Creates the polynomial .
polynomial &	operator*= (double d)
	Multiplies the polynomial by `d`.
polynomial	operator* (double d)
	Creates the polynomial $pol \cdot d$ .
polynomial	operator* (const monomial &m)
	Creates the polynomial $pol \cdot m$ .
polynomial &	operator*= (const monomial &m)
	Multiplies the polynomial by `m`.
polynomial	operator* (const polynomial &p)
	Creates the polynomial $pol \cdot p$ .
polynomial &	operator*= (const polynomial &p)
	Multiplies the polynomial by `p`.
polynomial	operator* (const var &v)
	Creates the polynomial $pol \cdot v$ .
polynomial &	operator*= (const var &v)
	Multiplies the polynomial by `v`.
polynomial	operator* (const row &r)
	Creates the polynomial $pol \cdot r$ .
polynomial &	operator*= (const row &r)
	Multiplies the polynomial by `r`.
pol_constraint	operator<= (double rhs)
	Creates the polynomial constraint $pol \le rhs$ .
pol_constraint	operator>= (double rhs)
	Creates the polynomial constraint $pol \ge rhs$ .
pol_constraint	operator== (double rhs)
	Creates the polynomial constraint .

Detailed Description

Definition at line 22 of file polynomial.h.

Constructor & Destructor Documentation

SCIL::polynomial::polynomial ( const row & r ) [inline]

Caution: Constant term of r is ignored!

Definition at line 41 of file polynomial.h.

References SCIL::row::begin(), and SCIL::row::end().

Member Function Documentation

void SCIL::polynomial::normalize ( bool clean = false )

Normalizes $p= \sum_{i=0}^{k-1}a_i \cdot m_i + a^{(1)}_k \cdot m_k + a^{(2)}_k \cdot m_k + \sum_{i=k+1}^{n} a_i \cdot m_i$ to $\hat{p} = \sum_{i=0}^n a_i \cdot m_i$ , where $ m_i $ are monomials.