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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
-
- */
- /// \file algorithm.hpp
- /// \brief Misc Algorithms
- /// \author Marshall Clow
- ///
- #ifndef BOOST_ALGORITHM_HPP
- #define BOOST_ALGORITHM_HPP
- #include <functional> // for plus and multiplies
- #include <boost/config.hpp>
- #include <boost/utility/enable_if.hpp> // for boost::disable_if
- #include <boost/type_traits/is_integral.hpp>
- namespace boost { namespace algorithm {
- template <typename T>
- BOOST_CXX14_CONSTEXPR T identity_operation ( std::multiplies<T> ) { return T(1); }
- template <typename T>
- BOOST_CXX14_CONSTEXPR T identity_operation ( std::plus<T> ) { return T(0); }
- /// \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>
- BOOST_CXX14_CONSTEXPR 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;
- }
- /// \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>
- BOOST_CXX14_CONSTEXPR 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;
- }
- }}
- #endif // BOOST_ALGORITHM_HPP
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