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<title>Binary Logarithm Template</title>
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<h1><img src="../../../boost.png" alt="boost.png (6897 bytes)"
align="middle" width="277" height="86">Binary Logarithm Template</h1>
<p>The class template in <cite><a href="../../../boost/integer/static_log2.hpp"><boost/integer/static_log2.hpp></a></cite> determines the position of the highest bit in a given value. This facility is useful for solving generic programming problems.</p>
<h2><a name="contents">Contents</a></h2>
<ul>
<li><a href="#contents">Contents</a></li>
<li><a href="#synopsis">Synopsis</a></li>
<li><a href="#usage">Usage</a></li>
<li><a href="#example">Example</a></li>
<li><a href="#demo">Demonstration Program</a></li>
<li><a href="#rationale">Rationale</a></li>
<li><a href="#credits">Credits</a></li>
<li><a href="#whatsnew"><b>What's new</b></a></li>
</ul>
<h2><a name="synopsis">Synopsis</a></h2>
<blockquote><pre>
namespace boost
{
typedef <em>implementation-defined</em> static_log2_argument_type;
typedef <em>implementation-defined</em> static_log2_result_type;
template < static_log2_argument_type arg >
struct static_log2
{
static const static_log2_result_type value = <em>implementation-defined</em>;
};
template < >
struct static_log2< 0 >
{
// The logarithm of zero is undefined.
};
} // namespace boost
</pre></blockquote>
<h2><a name="usage">Usage</a></h2>
<p>The <code>boost::static_log2</code> class template takes one template
parameter, a value of type <code>static_log2_argument_type</code>. The template
only defines one member, <code>value</code>, which gives the truncated
base-two logarithm of the template argument.</p>
<p>Since the logarithm of zero, for any base, is undefined, there is a
specialization of <code>static_log2</code> for a template argument
of zero. This specialization has no members, so an attempt to use
the base-two logarithm of zero results in a compile-time error.</p>
<p>Note: <ul>
<li><code>static_log2_argument_type</code> is an <i>unsigned integer
type</i> (C++ standard, 3.9.1p3).</li>
<li><code>static_log2_result_type</code> is an <i>integer type</i>
(C++ standard, 3.9.1p7).</li>
</ul>
<h2><a name="example">Example</a></h2>
<blockquote><pre>
#include "boost/integer/static_log2.hpp"
template < boost::static_log2_argument_type value >
bool is_it_what()
{
typedef boost::static_log2<value> lb_type;
int temp = lb_type::value;
//...
return (temp % 2) != 0;
}
//...
int main()
{
bool temp = is_it_what<2000>();
//...
# if 0
temp = is_it_what<0>(); // would give an error
# endif
//...
temp = is_it_what<24>();
//...
}
</pre></blockquote>
<h2><a name="demo">Demonstration Program</a></h2>
<p>The program <a href="../test/static_log2_test.cpp">static_log2_test.cpp</a>
is a simplistic demonstration of the results from instantiating various
examples of the binary logarithm class template.</p>
<h2><a name="rationale">Rationale</a></h2>
<p>The base-two (binary) logarithm, abbreviated <dfn>lb</dfn>, function
is occasionally used to give order-estimates of computer algorithms.
The truncated logarithm can be considered the highest power-of-two in a
value, which corresponds to the value's highest set bit (for binary
integers). Sometimes the highest-bit position could be used in generic
programming, which requires the position to be statically (<i>i.e.</i>
at compile-time) available.</p>
<h2><a name="whatsnew">Changes from previous versions:</a></h2>
<ul>
<li><i>New in version 1.32.0:</i><br><br>
The argument type and the result type of <code>boost::static_log2</code>
are now typedef'd. Formerly, they were hardcoded as <code>unsigned long</code>
and <code>int</code> respectively. Please, use the provided typedefs in new
code (and update old code as soon as possible).
</li>
</ul>
<h2><a name="credits">Credits</a></h2>
<p>The original version of the Boost binary logarithm class template was
written by <a href="../../../people/daryle_walker.html">Daryle Walker</a>
and then enhanced by Giovanni Bajo with support for compilers without
partial template specialization. The current version was suggested,
together with a reference implementation, by Vesa Karvonen. Gennaro Prota
wrote the actual source file.
</p>
<hr>
<p>Revised July 19, 2004</p>
<p>© Copyright Daryle Walker 2001.<br>
© Copyright Gennaro Prota 2004.</p>
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
<a href="http://www.boost.org/LICENSE_1_0.txt">
http://www.boost.org/LICENSE_1_0.txt</a>)
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