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Polynomials

Synopsis

#include <boost/math/tools/polynomial.hpp>

namespace boost{ namespace math{ namespace tools{

template <class T>
class polynomial
{
public:
   // typedefs:
   typedef typename std::vector<T>::value_type value_type;
   typedef typename std::vector<T>::size_type  size_type;

   // construct:
   polynomial(){}
   template <class U>
   polynomial(const U* data, unsigned order);
   template <class U>
   polynomial(const U& point);

   // access:
   size_type size()const;
   size_type degree()const;
   value_type& operator[](size_type i);
   const value_type& operator[](size_type i)const;

   // operators:
   template <class U>
   polynomial& operator +=(const U& value);
   template <class U>
   polynomial& operator -=(const U& value);
   template <class U>
   polynomial& operator *=(const U& value);
   template <class U>
   polynomial& operator +=(const polynomial<U>& value);
   template <class U>
   polynomial& operator -=(const polynomial<U>& value);
   template <class U>
   polynomial& operator *=(const polynomial<U>& value);
};

template <class T>
polynomial<T> operator + (const polynomial<T>& a, const polynomial<T>& b);
template <class T>
polynomial<T> operator - (const polynomial<T>& a, const polynomial<T>& b);
template <class T>
polynomial<T> operator * (const polynomial<T>& a, const polynomial<T>& b);

template <class T, class U>
polynomial<T> operator + (const polynomial<T>& a, const U& b);
template <class T, class U>
polynomial<T> operator - (const polynomial<T>& a, const U& b);
template <class T, class U>
polynomial<T> operator * (const polynomial<T>& a, const U& b);

template <class U, class T>
polynomial<T> operator + (const U& a, const polynomial<T>& b);
template <class U, class T>
polynomial<T> operator - (const U& a, const polynomial<T>& b);
template <class U, class T>
polynomial<T> operator * (const U& a, const polynomial<T>& b);

template <class charT, class traits, class T>
std::basic_ostream<charT, traits>& operator <<
   (std::basic_ostream<charT, traits>& os, const polynomial<T>& poly);

}}} // namespaces
Description

This is a fairly trivial class for polynomial manipulation.

Implementation is currently of the "naive" variety, with O(N^2) multiplication for example. This class should not be used in high-performance computing environments: it is intended for the simple manipulation of small polynomials, typically generated for special function approximation.

Advanced manipulations: the FFT, division, GCD, factorisation etc are not currently provided. Submissions for these are of course welcome :-)


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