QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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bernsteinpolynomial.cpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2007 Allen Kuo
5
6 This file is part of QuantLib, a free-software/open-source library
7 for financial quantitative analysts and developers - http://quantlib.org/
8
9 QuantLib is free software: you can redistribute it and/or modify it
10 under the terms of the QuantLib license. You should have received a
11 copy of the license along with this program; if not, please email
12 <quantlib-dev@lists.sf.net>. The license is also available online at
13 <http://quantlib.org/license.shtml>.
14
15 This program is distributed in the hope that it will be useful, but WITHOUT
16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
17 FOR A PARTICULAR PURPOSE. See the license for more details.
18*/
19
21#include <ql/math/factorial.hpp>
22#include <ql/errors.hpp>
23
24namespace QuantLib {
25
27 Natural n,
28 Real x) {
29
30 Real coeff = Factorial::get(n) /
32
33 return coeff * std::pow(x,int(i)) * std::pow(1.0-x, int(n-i));
34 }
35
36}
37
Bernstein polynomials.
static Real get(Natural i, Natural n, Real x)
static Real get(Natural n)
Definition: factorial.cpp:50
Classes and functions for error handling.
Factorial numbers calculator.
QL_REAL Real
real number
Definition: types.hpp:50
unsigned QL_INTEGER Natural
positive integer
Definition: types.hpp:43
Definition: any.hpp:35