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Martin Konicek
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.DS_STORE |
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/* | ||
Copyright (c) Marshall Clow 2014. | ||
Distributed under the Boost Software License, Version 1.0. (See accompanying | ||
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | ||
Revision history: | ||
2 Dec 2014 mtc First version; power | ||
*/ | ||
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/// \file algorithm.hpp | ||
/// \brief Misc Algorithms | ||
/// \author Marshall Clow | ||
/// | ||
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#ifndef BOOST_ALGORITHM_HPP | ||
#define BOOST_ALGORITHM_HPP | ||
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#include <functional> // for plus and multiplies | ||
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#include <boost/utility/enable_if.hpp> // for boost::disable_if | ||
#include <boost/type_traits/is_integral.hpp> | ||
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namespace boost { namespace algorithm { | ||
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template <typename T> | ||
T identity_operation ( std::multiplies<T> ) { return T(1); } | ||
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template <typename T> | ||
T identity_operation ( std::plus<T> ) { return T(0); } | ||
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/// \fn power ( T x, Integer n ) | ||
/// \return the value "x" raised to the power "n" | ||
/// | ||
/// \param x The value to be exponentiated | ||
/// \param n The exponent (must be >= 0) | ||
/// | ||
// \remark Taken from Knuth, The Art of Computer Programming, Volume 2: | ||
// Seminumerical Algorithms, Section 4.6.3 | ||
template <typename T, typename Integer> | ||
typename boost::enable_if<boost::is_integral<Integer>, T>::type | ||
power (T x, Integer n) { | ||
T y = 1; // Should be "T y{1};" | ||
if (n == 0) return y; | ||
while (true) { | ||
if (n % 2 == 1) { | ||
y = x * y; | ||
if (n == 1) | ||
return y; | ||
} | ||
n = n / 2; | ||
x = x * x; | ||
} | ||
return y; | ||
} | ||
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/// \fn power ( T x, Integer n, Operation op ) | ||
/// \return the value "x" raised to the power "n" | ||
/// using the operation "op". | ||
/// | ||
/// \param x The value to be exponentiated | ||
/// \param n The exponent (must be >= 0) | ||
/// \param op The operation used | ||
/// | ||
// \remark Taken from Knuth, The Art of Computer Programming, Volume 2: | ||
// Seminumerical Algorithms, Section 4.6.3 | ||
template <typename T, typename Integer, typename Operation> | ||
typename boost::enable_if<boost::is_integral<Integer>, T>::type | ||
power (T x, Integer n, Operation op) { | ||
T y = identity_operation(op); | ||
if (n == 0) return y; | ||
while (true) { | ||
if (n % 2 == 1) { | ||
y = op(x, y); | ||
if (n == 1) | ||
return y; | ||
} | ||
n = n / 2; | ||
x = op(x, x); | ||
} | ||
return y; | ||
} | ||
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}} | ||
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#endif // BOOST_ALGORITHM_HPP |
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