| 1 | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
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| 2 | |
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| 3 | /* |
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| 4 | Copyright (C) 2007 Allen Kuo |
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| 5 | |
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| 6 | This file is part of QuantLib, a free-software/open-source library |
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| 7 | for financial quantitative analysts and developers - http://quantlib.org/ |
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| 8 | |
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| 9 | QuantLib is free software: you can redistribute it and/or modify it |
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| 10 | under the terms of the QuantLib license. You should have received a |
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| 11 | copy of the license along with this program; if not, please email |
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| 12 | <quantlib-dev@lists.sf.net>. The license is also available online at |
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| 13 | <http://quantlib.org/license.shtml>. |
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| 14 | |
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| 15 | This program is distributed in the hope that it will be useful, but WITHOUT |
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| 16 | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
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| 17 | FOR A PARTICULAR PURPOSE. See the license for more details. |
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| 18 | */ |
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| 19 | |
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| 20 | #include <ql/math/bernsteinpolynomial.hpp> |
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| 21 | #include <ql/math/factorial.hpp> |
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| 22 | #include <ql/errors.hpp> |
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| 23 | |
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| 24 | namespace QuantLib { |
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| 25 | |
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| 26 | Real BernsteinPolynomial::get(Natural i, |
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| 27 | Natural n, |
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| 28 | Real x) { |
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| 29 | |
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| 30 | Real coeff = Factorial::get(n) / |
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| 31 | (Factorial::get(n: n-i) * Factorial::get(n: i)); |
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| 32 | |
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| 33 | return coeff * std::pow(x: x,y: int(i)) * std::pow(x: 1.0-x, y: int(n-i)); |
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| 34 | } |
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| 35 | |
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| 36 | } |
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| 37 | |
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| 38 | |
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