/*
   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/core/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;
