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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/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;
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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