Polynomial template

Discussion in 'C++' started by Rubén Campos, Sep 1, 2004.

  1. I've trying to implement polynomials of arbitrary order as a C++ template,
    as shown here:

    template <unsigned long int N>
    class Polynomial
    Polynomial ();
    ~Polynomial ();

    float getCoefficient (unsigned long int
    const index);
    void setCoefficient (unsigned long int const
    index, float const value);

    float evaluate (float const x);

    Polynomial <N-1> derive ();
    Polynomial <N+1> integrate ();

    float mCoefficients[N+1];

    As could be expected, I've found problems with the extreme order
    polynomials, that is, trying to derive a polynomial of 0 order (in fact, a
    real number) or trying to integrate a polynomial of maximum order ((2^N) -

    So the question is, how can I deal with extreme order polynomials? It's
    possible to provide different declarations (not only definitions) to
    derive() and integrate()? Should I detect those illegal attempts and break
    it with exception throwing?

    Thank you :)
    Rubén Campos, Sep 1, 2004
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  2. You could specialize Polynomial, but that would mean a lot of
    duplication, so you might prefer to make derive and integrate
    overloaded free functions.

    #include <limits>
    #include <stdexcept>

    template <unsigned long int N>
    Polynomial <N-1> derive(Polynomial <N> const & poly)
    { /* ... */ }

    Polynomial <0> derive(Polynomial <0> const &)
    { return Polynomial <0> (); }
    // I assume a fresh polynomial is identically zero.

    template <unsigned long int N>
    Polynomial <N+1> integrate(Polynomial <N> const & poly)
    { /* ... */ }

    void integrate(Polynomial<std::numeric_limits<
    unsigned long int>::max()> const &)
    { throw std::eek:ut_of_range("Polynomial order too large"); }

    Martin Eisenberg, Sep 1, 2004
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