bernstein.h

// Description: Bernstein polynomials
// Documentation: math_functions.txt

#ifndef PASTELSYS_BERNSTEIN_H
#define PASTELSYS_BERNSTEIN_H

#include "pastel/sys/mytypes.h"

namespace Pastel
{

    //! Computes the i:th n-degree [Bernstein polynomial] at t.
    /*!
   Preconditions:
   n >= 0
   i >= 0
   i <= n

   The Bernstein polynomials are the terms
   of the binomial expansion of ((1 - t) + t)^n = 1.
   B_{i, n}(t) = binomial(i, n) t^(n - i) (1 - t)^i
   */
    template <typename Real>
    Real bernstein(integer i, integer n, const Real& t);

}

#include "pastel/sys/math/bernstein.hpp"

#endif