95 lines
3.0 KiB
Plaintext
95 lines
3.0 KiB
Plaintext
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[section:polynomials Polynomials]
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[h4 Synopsis]
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``
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#include <boost/math/tools/polynomial.hpp>
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``
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namespace boost{ namespace math{ namespace tools{
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template <class T>
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class polynomial
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{
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public:
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// typedefs:
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typedef typename std::vector<T>::value_type value_type;
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typedef typename std::vector<T>::size_type size_type;
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// construct:
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polynomial(){}
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template <class U>
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polynomial(const U* data, unsigned order);
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template <class U>
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polynomial(const U& point);
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// access:
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size_type size()const;
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size_type degree()const;
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value_type& operator[](size_type i);
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const value_type& operator[](size_type i)const;
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// operators:
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template <class U>
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polynomial& operator +=(const U& value);
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template <class U>
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polynomial& operator -=(const U& value);
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template <class U>
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polynomial& operator *=(const U& value);
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template <class U>
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polynomial& operator +=(const polynomial<U>& value);
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template <class U>
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polynomial& operator -=(const polynomial<U>& value);
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template <class U>
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polynomial& operator *=(const polynomial<U>& value);
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};
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template <class T>
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polynomial<T> operator + (const polynomial<T>& a, const polynomial<T>& b);
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template <class T>
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polynomial<T> operator - (const polynomial<T>& a, const polynomial<T>& b);
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template <class T>
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polynomial<T> operator * (const polynomial<T>& a, const polynomial<T>& b);
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template <class T, class U>
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polynomial<T> operator + (const polynomial<T>& a, const U& b);
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template <class T, class U>
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polynomial<T> operator - (const polynomial<T>& a, const U& b);
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template <class T, class U>
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polynomial<T> operator * (const polynomial<T>& a, const U& b);
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template <class U, class T>
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polynomial<T> operator + (const U& a, const polynomial<T>& b);
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template <class U, class T>
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polynomial<T> operator - (const U& a, const polynomial<T>& b);
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template <class U, class T>
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polynomial<T> operator * (const U& a, const polynomial<T>& b);
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template <class charT, class traits, class T>
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std::basic_ostream<charT, traits>& operator <<
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(std::basic_ostream<charT, traits>& os, const polynomial<T>& poly);
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}}} // namespaces
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[h4 Description]
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This is a fairly trivial class for polynomial manipulation.
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Implementation is currently of the "naive" variety, with O(N^2)
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multiplication for example. This class should not be used in
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high-performance computing environments: it is intended for the
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simple manipulation of small polynomials, typically generated
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for special function approximation.
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Advanced manipulations: the FFT, division, GCD, factorisation etc are
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not currently provided. Submissions for these are of course welcome :-)
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[endsect][/section:polynomials Polynomials]
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[/
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Copyright 2006 John Maddock and Paul A. Bristow.
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENSE_1_0.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt).
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]
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