Update Boost.Integer meta-programming classes to work with intmax_t where possible - ie to be 64-bit clean.

Added quickbook based docs - updated as necessary.
Removed old html docs.

[SVN r57926]
This commit is contained in:
John Maddock 2009-11-25 12:38:09 +00:00
parent db267e22f8
commit ca84baa55d
21 changed files with 2714 additions and 1105 deletions

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<body bgcolor="#FFFFFF" text="#000000">
<h1><img src="../../boost.png" alt="boost.png (6897 bytes)" align="center" width="277" height="86">Header
boost/cstdint.hpp&nbsp;</h1>
<p>The header <code><a href="../../boost/cstdint.hpp">&lt;boost/cstdint.hpp&gt;</a></code>
provides the typedef's useful for
writing portable code that requires certain integer widths. All typedef's are in namespace boost.</p>
<p>The specifications are based on the ISO/IEC 9899:1999 C Language standard
header &lt;stdint.h&gt;.&nbsp; The 64-bit types required by the C standard are not
required in the boost header, and may not be supplied in all implementations,
because <code>long long</code> is not [yet] included in the C++ standard.</p>
<p>See <a href="cstdint_test.cpp">cstdint_test.cpp</a> for a test program.</p>
<h2>Exact-width integer types</h2>
<p>The typedef <code>int#_t</code>, with # replaced by the width, designates a
signed integer type of exactly # bits; <code>int8_t</code> denotes an 8-bit
signed integer type.&nbsp; Similarly, the typedef <code>uint#_t</code>
designates and unsigned integer type of exactly # bits.</p>
<p>These types are optional. However, if an implementation provides integer
types with widths of 8, 16, 32, or 64 bits, it shall define the corresponding
typedef names.</p>
<h2>Minimum-width integer types</h2>
<p>The typedef <code>int_least#_t</code>, with # replaced by the width,&nbsp;
designates a signed integer type with a width of at least # bits, such that no
signed integer type with lesser size has at least the specified width. Thus, <code>int_least32_t</code>
denotes a signed integer type with a width of at least 32 bits. Similarly, the
typedef name <code>uint_least#_t</code> designates an unsigned integer type with
a width of at least # bits, such that no unsigned integer type with lesser size
has at least the specified width.</p>
<p>Required minimum-width integer types:</p>
<ul>
<li><code>int_least8_t</code></li>
<li><code>int_least16_t</code></li>
<li><code>int_least32_t</code></li>
<li><code>uint_least8_t</code></li>
<li><code>uint_least16_t</code></li>
<li><code>uint_least32_t</code></li>
</ul>
<p>All other minimum-width integer types are optional.</p>
<h2>Fastest minimum-width integer types</h2>
<p>The typedef <code>int_fast#_t</code>, with # replaced by the width,
designates the fastest signed integer type with a width of at least # bits.
Similarly, the typedef name <code>uint_fast#_t</code> designates the fastest
unsigned integer type with a width of at least # bits.</p>
<p>There is no guarantee that these types are fastest for all purposes.&nbsp; In
any case, however, they satisfy&nbsp; the signedness and width requirements.</p>
<p>Required fastest minimum-width integer types:</p>
<ul>
<li><code>int_fast8_t</code></li>
<li><code>int_fast16_t</code></li>
<li><code>int_fast32_t</code></li>
<li><code>uint_fast8_t</code></li>
<li><code>uint_fast16_t</code></li>
<li><code>uint_fast32_t</code></li>
</ul>
<p>All other fastest minimum-width integer types are optional.</p>
<h2>Greatest-width integer types</h2>
<p>The typedef <code>intmax_t </code>designates a signed integer type capable of
representing any value of any signed integer type.</p>
<p>The typedef <code>uintmax_t</code> designates an unsigned integer type
capable of representing any value of any unsigned integer type.</p>
<p>These types are required.</p>
<hr>
<p>Revised <!--webbot bot="Timestamp" s-type="EDITED" s-format="%d %b %Y" startspan -->06 Nov 2007<!--webbot bot="Timestamp" endspan i-checksum="15272" -->
</p>
<p>© Copyright Beman Dawes 2000</p>
<p>Distributed under the Boost Software License, Version 1.0. See
<a href="http://www.boost.org/LICENSE_1_0.txt">www.boost.org/LICENSE_1_0.txt</a></p>
</body>
</html>

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# Copyright John Maddock 2005. Use, modification, and distribution are
# subject to 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)
using quickbook ;
xml integer : integer.qbk ;
boostbook standalone
:
integer
:
# HTML options first:
# Use graphics not text for navigation:
<xsl:param>navig.graphics=1
# How far down we chunk nested sections, basically all of them:
<xsl:param>chunk.section.depth=1
# Don't put the first section on the same page as the TOC:
<xsl:param>chunk.first.sections=0
# How far down sections get TOC's
<xsl:param>toc.section.depth=1
# Max depth in each TOC:
<xsl:param>toc.max.depth=1
# How far down we go with TOC's
<xsl:param>generate.section.toc.level=4
# Path for links to Boost:
<xsl:param>boost.root=../../../..
# Path for libraries index:
<xsl:param>boost.libraries=../../../../libs/libraries.htm
# Use the main Boost stylesheet:
<xsl:param>html.stylesheet=../../../../doc/html/boostbook.css
# PDF Options:
# TOC Generation: this is needed for FOP-0.9 and later:
<xsl:param>fop1.extensions=0
# Or enable this if you're using XEP:
<xsl:param>xep.extensions=1
# TOC generation: this is needed for FOP 0.2, but must not be set to zero for FOP-0.9!
<xsl:param>fop.extensions=0
# No indent on body text:
<xsl:param>body.start.indent=0pt
# Margin size:
<xsl:param>page.margin.inner=0.5in
# Margin size:
<xsl:param>page.margin.outer=0.5in
# Yes, we want graphics for admonishments:
<xsl:param>admon.graphics=1
# Set this one for PDF generation *only*:
# default pnd graphics are awful in PDF form,
# better use SVG's instead:
<format>pdf:<xsl:param>admon.graphics.extension=".svg"
<format>pdf:<xsl:param>admon.graphics.path=$(boost-images)/
<format>pdf:<xsl:param>boost.url.prefix=http://www.boost.org/doc/libs/release/libs/regex/doc/html
;
install pdf-install : standalone : <location>. <install-type>PDF ;

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<dt><span class="section"><a href="cstdint.html#boost_integer.cstdint.exact_width_integer_types">Exact-width
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integer types</a></span></dt>
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<dt><span class="section"><a href="cstdint.html#boost_integer.cstdint.greatest_width_integer_types">Greatest-width
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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.overview"></a><a class="link" href="cstdint.html#boost_integer.cstdint.overview" title="Overview">Overview</a>
</h3></div></div></div>
<p>
The header <code class="literal"><a href="../../../../../boost/cstdint.hpp" target="_top">&lt;boost/cstdint.hpp&gt;</a></code>
provides the typedef's useful for writing portable code that requires certain
integer widths. All typedef's are in namespace boost.
</p>
<p>
The specifications are based on the ISO/IEC 9899:1999 C Language standard
header &lt;stdint.h&gt;. The 64-bit types required by the C standard are
not required in the boost header, and may not be supplied in all implementations,
because <code class="literal">long long</code> is not [yet] included in the C++ standard.
</p>
<p>
See <a href="../../../test/cstdint_test.cpp" target="_top">cstdint_test.cpp</a> for
a test program.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.rationale"></a><a class="link" href="cstdint.html#boost_integer.cstdint.rationale" title="Rationale"> Rationale</a>
</h3></div></div></div>
<p>
The organization of the Boost.Integer headers and classes is designed to
take advantage of &lt;stdint.h&gt; types from the 1999 C standard without
resorting to undefined behavior in terms of the 1998 C++ standard. The header
&lt;boost/cstdint.hpp&gt; makes the standard integer types safely available
in namespace <code class="literal">boost</code> without placing any names in namespace
<code class="literal">std</code>. As always, the intension is to complement rather
than compete with the C++ Standard Library. Should some future C++ standard
include &lt;stdint.h&gt; and &lt;cstdint&gt;, then &lt;boost/cstdint.hpp&gt;
will continue to function, but will become redundant and may be safely deprecated.
</p>
<p>
Because these are boost headers, their names conform to boost header naming
conventions rather than C++ Standard Library header naming conventions.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.ce"></a><a class="link" href="cstdint.html#boost_integer.cstdint.ce" title="Caveat emptor"> <span class="emphasis"><em>Caveat emptor</em></span></a>
</h3></div></div></div>
<p>
As an implementation artifact, certain C &lt;limits.h&gt; macro names may
possibly be visible to users of &lt;boost/cstdint.hpp&gt;. Don't use these
macros; they are not part of any Boost-specified interface. Use <code class="literal">boost::integer_traits&lt;&gt;</code>
or <code class="literal">std::numeric_limits&lt;&gt;</code> instead.
</p>
<p>
As another implementation artifact, certain C &lt;stdint.h&gt; typedef names
may possibly be visible in the global namespace to users of &lt;boost/cstdint.hpp&gt;.
Don't use these names, they are not part of any Boost-specified interface.
Use the respective names in namespace <code class="literal">boost</code> instead.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.exact_width_integer_types"></a><a class="link" href="cstdint.html#boost_integer.cstdint.exact_width_integer_types" title="Exact-width integer types">Exact-width
integer types</a>
</h3></div></div></div>
<p>
The typedef <code class="literal">int#_t</code>, with # replaced by the width, designates
a signed integer type of exactly # bits; for example <code class="literal">int8_t</code>
denotes an 8-bit signed integer type. Similarly, the typedef <code class="literal">uint#_t</code>
designates an unsigned integer type of exactly # bits.
</p>
<p>
These types are optional. However, if an implementation provides integer
types with widths of 8, 16, 32, or 64 bits, it shall define the corresponding
typedef names.
</p>
<p>
The absence of int64_t and uint64_t is indicated by the macro <code class="computeroutput"><span class="identifier">BOOST_NO_INT64_T</span></code>.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.minimum_width_integer_types"></a><a class="link" href="cstdint.html#boost_integer.cstdint.minimum_width_integer_types" title="Minimum-width integer types">Minimum-width
integer types</a>
</h3></div></div></div>
<p>
The typedef <code class="literal">int_least#_t</code>, with # replaced by the width,
designates a signed integer type with a width of at least # bits, such that
no signed integer type with lesser size has at least the specified width.
Thus, <code class="literal">int_least32_t</code> denotes a signed integer type with
a width of at least 32 bits. Similarly, the typedef name <code class="literal">uint_least#_t</code>
designates an unsigned integer type with a width of at least # bits, such
that no unsigned integer type with lesser size has at least the specified
width.
</p>
<p>
Required minimum-width integer types:
</p>
<div class="itemizedlist"><ul type="disc">
<li><code class="literal">int_least8_t</code></li>
<li><code class="literal">int_least16_t</code></li>
<li><code class="literal">int_least32_t</code></li>
<li><code class="literal">uint_least8_t</code></li>
<li><code class="literal">uint_least16_t</code></li>
<li><code class="literal">uint_least32_t</code></li>
</ul></div>
<p>
The types:
</p>
<div class="itemizedlist"><ul type="disc">
<li><code class="literal">int_least64_t</code></li>
<li><code class="literal">uint_least64_t</code></li>
</ul></div>
<p>
Are available only if, after inclusion of <code class="literal">&lt;boost/cstdint.hpp&gt;</code>
the macro <code class="computeroutput"><span class="identifier">BOOST_NO_INT64_T</span></code>
is <span class="emphasis"><em><span class="bold"><strong>not defined</strong></span></em></span>.
</p>
<p>
All other minimum-width integer types are optional.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.fastest_minimum_width_integer_types"></a><a class="link" href="cstdint.html#boost_integer.cstdint.fastest_minimum_width_integer_types" title="Fastest minimum-width integer types">Fastest
minimum-width integer types</a>
</h3></div></div></div>
<p>
The typedef <code class="literal">int_fast#_t</code>, with # replaced by the width,
designates the fastest signed integer type with a width of at least # bits.
Similarly, the typedef name <code class="literal">uint_fast#_t</code> designates the
fastest unsigned integer type with a width of at least # bits.
</p>
<p>
There is no guarantee that these types are fastest for all purposes. In any
case, however, they satisfy the signedness and width requirements.
</p>
<p>
Required fastest minimum-width integer types:
</p>
<div class="itemizedlist"><ul type="disc">
<li><code class="literal">int_fast8_t</code></li>
<li><code class="literal">int_fast16_t</code></li>
<li><code class="literal">int_fast32_t</code></li>
<li><code class="literal">uint_fast8_t</code></li>
<li><code class="literal">uint_fast16_t</code></li>
<li><code class="literal">uint_fast32_t</code></li>
</ul></div>
<p>
The types:
</p>
<div class="itemizedlist"><ul type="disc">
<li><code class="literal">int_fast64_t</code></li>
<li><code class="literal">uint_fast64_t</code></li>
</ul></div>
<p>
Are available only if, after inclusion of <code class="literal">&lt;boost/cstdint.hpp&gt;</code>
the macro <code class="computeroutput"><span class="identifier">BOOST_NO_INT64_T</span></code>
is <span class="emphasis"><em><span class="bold"><strong>not defined</strong></span></em></span>.
</p>
<p>
All other fastest minimum-width integer types are optional.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.cstdint.greatest_width_integer_types"></a><a class="link" href="cstdint.html#boost_integer.cstdint.greatest_width_integer_types" title="Greatest-width integer types">Greatest-width
integer types</a>
</h3></div></div></div>
<p>
The typedef <code class="literal">intmax_t </code>designates a signed integer type
capable of representing any value of any signed integer type.
</p>
<p>
The typedef <code class="literal">uintmax_t</code> designates an unsigned integer type
capable of representing any value of any unsigned integer type.
</p>
<p>
These types are required.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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<a name="boost_integer.history.1_42_0"></a><h5>
<a name="id677364"></a>
<a class="link" href="history.html#boost_integer.history.1_42_0">1.42.0</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
Reverted Trunk to release branch state (i.e. a "known good state").
</li>
<li>
Fixed issues: <a href="https://svn.boost.org/trac/boost/ticket/653" target="_top">653</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3084" target="_top">3084</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3177" target="_top">3177</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3180" target="_top">3180</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3548" target="_top">3568</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3657" target="_top">3657</a>,
<a href="https://svn.boost.org/trac/boost/ticket/2134" target="_top">2134</a>.
</li>
<li>
Added long long support to <code class="literal">boost::static_log2</code>, <code class="literal">boost::static_signed_min</code>,
<code class="literal">boost::static_signed_max</code>, <code class="literal">boost::static_unsigned_min</code><code class="literal">boost::static_unsigned_max</code>,
when available.
</li>
<li>
The argument type and the result type of <code class="literal">boost::static_signed_min</code>
etc are now typedef'd. Formerly, they were hardcoded as <code class="literal">unsigned
long</code> and <code class="literal">int</code> respectively. Please, use the provided
typedefs in new code (and update old code as soon as possible).
</li>
</ul></div>
<a name="boost_integer.history.1_32_0"></a><h5>
<a name="id677466"></a>
<a class="link" href="history.html#boost_integer.history.1_32_0">1.32.0</a>
</h5>
<div class="itemizedlist"><ul type="disc"><li>
The argument type and the result type of <code class="literal">boost::static_log2</code>
are now typedef'd. Formerly, they were hardcoded as <code class="literal">unsigned long</code>
and <code class="literal">int</code> respectively. Please, use the provided typedefs
in new code (and update old code as soon as possible).
</li></ul></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_integer.integer"></a><a class="link" href="integer.html" title="Integer Type Selection"> Integer Type Selection</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="integer.html#boost_integer.integer.synopsis"> Synopsis</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.easiest"> Easiest-to-Manipulate
Types</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.sized"> Sized Types</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.example">Example</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.demonstration_program">Demonstration
Program</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.rationale">Rationale</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.alternative">Alternative</a></span></dt>
<dt><span class="section"><a href="integer.html#boost_integer.integer.credits">Credits</a></span></dt>
</dl></div>
<p>
The <a href="../../../../../boost/integer.hpp" target="_top">&lt;boost/integer.hpp&gt;</a>
type selection templates allow integer types to be selected based on desired
characteristics such as number of bits or maximum value. This facility is particularly
useful for solving generic programming problems.
</p>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.synopsis"></a><a class="link" href="integer.html#boost_integer.integer.synopsis" title="Synopsis"> Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span>
<span class="special">{</span>
<span class="comment">// fast integers from least integers
</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">LeastInt</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">int_fast_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">// signed
</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">int</span> <span class="identifier">Bits</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">int_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">int_fast_t</span><span class="special">&lt;</span><span class="identifier">least</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">// unsigned
</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">int</span> <span class="identifier">Bits</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">uint_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">int_fast_t</span><span class="special">&lt;</span><span class="identifier">least</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">// signed
</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">MaxValue</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">int_max_value_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">int_fast_t</span><span class="special">&lt;</span><span class="identifier">least</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">MinValue</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">int_min_value_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">int_fast_t</span><span class="special">&lt;</span><span class="identifier">least</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">// unsigned
</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">Value</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">uint_value_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">int_fast_t</span><span class="special">&lt;</span><span class="identifier">least</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">fast</span><span class="special">;</span>
<span class="special">};</span>
<span class="special">}</span> <span class="comment">// namespace boost
</span></pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.easiest"></a><a class="link" href="integer.html#boost_integer.integer.easiest" title="Easiest-to-Manipulate Types"> Easiest-to-Manipulate
Types</a>
</h3></div></div></div>
<p>
The <code class="literal">int_fast_t</code> class template maps its input type to the
next-largest type that the processor can manipulate the easiest, or to itself
if the input type is already an easy-to-manipulate type. For instance, processing
a bunch of <code class="literal">char</code> objects may go faster if they were converted
to <code class="literal">int</code> objects before processing. The input type, passed
as the only template parameter, must be a built-in integral type, except
<code class="literal">bool</code>. Unsigned integral types can be used, as well as
signed integral types, despite the name. The output type is given as the
class member <code class="literal">fast</code>.
</p>
<p>
<span class="bold"><strong>Implementation Notes:</strong></span> By default, the output
type is identical to the input type. Eventually, this code's implementation
should be conditionalized for each platform to give accurate mappings between
the built-in types and the easiest-to-manipulate built-in types. Also, there
is no guarantee that the output type actually is easier to manipulate than
the input type.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.sized"></a><a class="link" href="integer.html#boost_integer.integer.sized" title="Sized Types"> Sized Types</a>
</h3></div></div></div>
<p>
The <code class="literal">int_t</code>, <code class="literal">uint_t</code>, <code class="literal">int_max_value_t</code>,
<code class="literal">int_min_value_t</code>, and <code class="literal">uint_value_t</code> class
templates find the most appropiate built-in integral type for the given template
parameter. This type is given by the class member <code class="literal">least</code>.
The easiest-to-manipulate version of that type is given by the class member
<code class="literal">fast</code>. The following table describes each template's criteria.
</p>
<div class="table">
<a name="id673121"></a><p class="title"><b>Table 1. Criteria for the Sized Type Class Templates</b></p>
<div class="table-contents"><table class="table" summary="Criteria for the Sized Type Class Templates">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Class Template
</p>
</th>
<th>
<p>
Template Parameter Mapping
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="literal">boost::int_t&lt;N&gt;</code>
</p>
</td>
<td>
<p>
The smallest built-in signed integral type with at least <span class="emphasis"><em>N</em></span>
bits, including the sign bit. The parameter should be a positive number.
A compile-time error results if the parameter is larger than the number
of bits in the largest integer type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">boost::uint_t&lt;N&gt;</code>
</p>
</td>
<td>
<p>
The smallest built-in unsigned integral type with at least <span class="emphasis"><em>N</em></span>
bits. The parameter should be a positive number. A compile-time error
results if the parameter is larger than the number of bits in the largest
integer type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">boost::int_max_value_t&lt;V&gt;</code>
</p>
</td>
<td>
<p>
The smallest built-in signed integral type that can hold all the values
in the inclusive range <span class="emphasis"><em>0 - V</em></span>. The parameter should
be a positive number.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">boost::int_min_value_t&lt;V&gt;</code>
</p>
</td>
<td>
<p>
The smallest built-in signed integral type that can hold all the values
in the inclusive range <span class="emphasis"><em>V-0</em></span>. The parameter should
be a negative number.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">boost::uint_value_t&lt;V&gt;</code>
</p>
</td>
<td>
<p>
The smallest built-in unsigned integral type that can hold all positive
values up to and including <span class="emphasis"><em>V</em></span>. The parameter should
be a positive number.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.example"></a><a class="link" href="integer.html#boost_integer.integer.example" title="Example">Example</a>
</h3></div></div></div>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">integer</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="comment">//...
</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">int_t</span><span class="special">&lt;</span><span class="number">24</span><span class="special">&gt;::</span><span class="identifier">least</span> <span class="identifier">my_var</span><span class="special">;</span> <span class="comment">// my_var has at least 24-bits
</span> <span class="comment">//...
</span> <span class="comment">// This one is guarenteed not to be truncated:
</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">int_max_value_t</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;::</span><span class="identifier">least</span> <span class="identifier">my1000</span> <span class="special">=</span> <span class="number">1000</span><span class="special">;</span>
<span class="comment">//...
</span> <span class="comment">// This one is guarenteed not to be truncated, and as fast
</span> <span class="comment">// to manipulate as possible, it's size may be greater than
</span> <span class="comment">// that of my1000:
</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">int_max_value_t</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;::</span><span class="identifier">fast</span> <span class="identifier">my_fast1000</span> <span class="special">=</span> <span class="number">1000</span><span class="special">;</span>
<span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.demonstration_program"></a><a class="link" href="integer.html#boost_integer.integer.demonstration_program" title="Demonstration Program">Demonstration
Program</a>
</h3></div></div></div>
<p>
The program <a href="../../../test/integer_test.cpp" target="_top">integer_test.cpp</a>
is a simplistic demonstration of the results from instantiating various examples
of the sized type class templates.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.rationale"></a><a class="link" href="integer.html#boost_integer.integer.rationale" title="Rationale">Rationale</a>
</h3></div></div></div>
<p>
The rationale for the design of the templates in this header includes:
</p>
<div class="itemizedlist"><ul type="disc">
<li>
Avoid recursion because of concern about C++'s limited guaranteed recursion
depth (17).
</li>
<li>
Avoid macros on general principles.
</li>
<li>
Try to keep the design as simple as possible.
</li>
</ul></div>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.alternative"></a><a class="link" href="integer.html#boost_integer.integer.alternative" title="Alternative">Alternative</a>
</h3></div></div></div>
<p>
If the number of bits required is known beforehand, it may be more appropriate
to use the types supplied in <a href="../../../../../boost/cstdint.hpp" target="_top">&lt;boost/cstdint.hpp&gt;</a>.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.integer.credits"></a><a class="link" href="integer.html#boost_integer.integer.credits" title="Credits">Credits</a>
</h3></div></div></div>
<p>
The author of most of the Boost integer type choosing templates is <a href="http://www.boost.org/people/beman_dawes.html" target="_top">Beman Dawes</a>. He
gives thanks to Valentin Bonnard and <a href="http://www.boost.org/people/kevlin_henney.htm" target="_top">Kevlin
Henney</a> for sharing their designs for similar templates. <a href="http://www.boost.org/people/daryle_walker.html" target="_top">Daryle
Walker</a> designed the value-based sized templates.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
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<title>Compile time log2 Calculation</title>
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<a name="boost_integer.log2"></a><a class="link" href="log2.html" title="Compile time log2 Calculation"> Compile time log2 Calculation</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="log2.html#boost_integer.log2.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="log2.html#boost_integer.log2.usage">Usage</a></span></dt>
<dt><span class="section"><a href="log2.html#boost_integer.log2.example">Example</a></span></dt>
<dt><span class="section"><a href="log2.html#boost_integer.log2.demonstration_program">Demonstration
Program</a></span></dt>
<dt><span class="section"><a href="log2.html#boost_integer.log2.rationale">Rationale</a></span></dt>
<dt><span class="section"><a href="log2.html#boost_integer.log2.credits">Credits</a></span></dt>
</dl></div>
<p>
The class template in <a href="../../../../../boost/integer/static_log2.hpp" target="_top">&lt;boost/integer/static_log2.hpp&gt;</a>
determines the position of the highest bit in a given value. This facility
is useful for solving generic programming problems.
</p>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.synopsis"></a><a class="link" href="log2.html#boost_integer.log2.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined</em></span> <span class="identifier">static_log2_argument_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined</em></span> <span class="identifier">static_log2_result_type</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">static_log2_argument_type</span> <span class="identifier">arg</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_log2</span>
<span class="special">{</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">static_log2_result_type</span> <span class="identifier">value</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="special">};</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_log2</span><span class="special">&lt;</span> <span class="number">0</span> <span class="special">&gt;</span>
<span class="special">{</span>
<span class="comment">// The logarithm of zero is undefined.
</span> <span class="special">};</span>
<span class="special">}</span> <span class="comment">// namespace boost
</span></pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.usage"></a><a class="link" href="log2.html#boost_integer.log2.usage" title="Usage">Usage</a>
</h3></div></div></div>
<p>
The <code class="literal">boost::static_log2</code> class template takes one template
parameter, a value of type <code class="literal">static_log2_argument_type</code>.
The template only defines one member, <code class="literal">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 class="literal">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:
</p>
<div class="itemizedlist"><ul type="disc">
<li>
<code class="literal">static_log2_argument_type</code> is an <span class="emphasis"><em>unsigned integer
type</em></span> (C++ standard, 3.9.1p3).
</li>
<li>
<code class="literal">static_log2_result_type</code> is an <span class="emphasis"><em>integer type</em></span>
(C++ standard, 3.9.1p7).
</li>
</ul></div>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.example"></a><a class="link" href="log2.html#boost_integer.log2.example" title="Example">Example</a>
</h3></div></div></div>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="string">"boost/integer/static_log2.hpp"</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">static_log2_argument_type</span> <span class="identifier">value</span> <span class="special">&gt;</span>
<span class="keyword">bool</span> <span class="identifier">is_it_what</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">static_log2</span><span class="special">&lt;</span><span class="identifier">value</span><span class="special">&gt;</span> <span class="identifier">lb_type</span><span class="special">;</span>
<span class="keyword">int</span> <span class="identifier">temp</span> <span class="special">=</span> <span class="identifier">lb_type</span><span class="special">::</span><span class="identifier">value</span><span class="special">;</span>
<span class="comment">//...
</span> <span class="keyword">return</span> <span class="special">(</span><span class="identifier">temp</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span> <span class="special">!=</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span>
<span class="comment">//...
</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">bool</span> <span class="identifier">temp</span> <span class="special">=</span> <span class="identifier">is_it_what</span><span class="special">&lt;</span><span class="number">2000</span><span class="special">&gt;();</span>
<span class="comment">//...
</span><span class="preprocessor"># if</span> <span class="number">0</span>
<span class="identifier">temp</span> <span class="special">=</span> <span class="identifier">is_it_what</span><span class="special">&lt;</span><span class="number">0</span><span class="special">&gt;();</span> <span class="comment">// would give an error
</span><span class="preprocessor"># endif</span>
<span class="comment">//...
</span> <span class="identifier">temp</span> <span class="special">=</span> <span class="identifier">is_it_what</span><span class="special">&lt;</span><span class="number">24</span><span class="special">&gt;();</span>
<span class="comment">//...
</span><span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.demonstration_program"></a><a class="link" href="log2.html#boost_integer.log2.demonstration_program" title="Demonstration Program">Demonstration
Program</a>
</h3></div></div></div>
<p>
The program <a href="../../../test/static_log2_test.cpp" target="_top">static_log2_test.cpp</a>
is a simplistic demonstration of the results from instantiating various examples
of the binary logarithm class template.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.rationale"></a><a class="link" href="log2.html#boost_integer.log2.rationale" title="Rationale">Rationale</a>
</h3></div></div></div>
<p>
The base-two (binary) logarithm, abbreviated lb, 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 (<span class="emphasis"><em>i.e.</em></span> at compile-time) available.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.log2.credits"></a><a class="link" href="log2.html#boost_integer.log2.credits" title="Credits">Credits</a>
</h3></div></div></div>
<p>
The original version of the Boost binary logarithm class template was written
by <a href="http://www.boost.org/people/daryle_walker.html" target="_top">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>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
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<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_integer.mask"></a><a class="link" href="mask.html" title="Integer Masks"> Integer Masks</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="mask.html#boost_integer.mask.overview">Overview</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.single_bit_mask_class_template">Single
Bit-Mask Class Template</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.group_bit_mask_class_template">Group
Bit-Mask Class Template</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.implementation_notes">Implementation
Notes</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.example">Example</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.demonstration_program">Demonstration
Program</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.rationale">Rationale</a></span></dt>
<dt><span class="section"><a href="mask.html#boost_integer.mask.credits">Credits</a></span></dt>
</dl></div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.overview"></a><a class="link" href="mask.html#boost_integer.mask.overview" title="Overview">Overview</a>
</h3></div></div></div>
<p>
The class templates in <a href="../../../../../boost/integer/integer_mask.hpp" target="_top">&lt;boost/integer/integer_mask.hpp&gt;</a>
provide bit masks for a certain bit position or a contiguous-bit pack of
a certain size. The types of the masking constants come from the <a class="link" href="integer.html" title="Integer Type Selection">integer
type selection templates</a> header.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.synopsis"></a><a class="link" href="mask.html#boost_integer.mask.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">cstddef</span><span class="special">&gt;</span> <span class="comment">// for std::size_t
</span>
<span class="keyword">namespace</span> <span class="identifier">boost</span>
<span class="special">{</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">Bit</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">high_bit_mask_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">fast</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">least</span> <span class="identifier">high_bit</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">fast</span> <span class="identifier">high_bit_fast</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">bit_position</span> <span class="special">=</span> <span class="identifier">Bit</span><span class="special">;</span>
<span class="special">};</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">Bits</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">low_bits_mask_t</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">least</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined-type</em></span> <span class="identifier">fast</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">least</span> <span class="identifier">sig_bits</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">fast</span> <span class="identifier">sig_bits_fast</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">bit_count</span> <span class="special">=</span> <span class="identifier">Bits</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">// Specializations for low_bits_mask_t exist for certain bit counts.
</span>
<span class="special">}</span> <span class="comment">// namespace boost
</span></pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.single_bit_mask_class_template"></a><a class="link" href="mask.html#boost_integer.mask.single_bit_mask_class_template" title="Single Bit-Mask Class Template">Single
Bit-Mask Class Template</a>
</h3></div></div></div>
<p>
The <code class="literal">boost::high_bit_mask_t</code> class template provides constants
for bit masks representing the bit at a certain position. The masks are equivalent
to the value 2<sup>Bit</sup>, where <code class="literal">Bit</code> is the template parameter.
The bit position must be a nonnegative number from zero to <span class="emphasis"><em>Max</em></span>,
where Max is one less than the number of bits supported by the largest unsigned
built-in integral type. The following table describes the members of an instantiation
of <code class="literal">high_bit_mask_t</code>.
</p>
<div class="table">
<a name="id674116"></a><p class="title"><b>Table 2. Members of the `boost::high_bit_mask_t` Class Template</b></p>
<div class="table-contents"><table class="table" summary="Members of the `boost::high_bit_mask_t` Class Template">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Member
</p>
</th>
<th>
<p>
Meaning
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="literal">least</code>
</p>
</td>
<td>
<p>
The smallest unsigned built-in type that supports the given bit position.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">fast</code>
</p>
</td>
<td>
<p>
The quick-to-manipulate analog of <code class="literal">least</code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">high_bit</code>
</p>
</td>
<td>
<p>
A <code class="literal">least</code> constant of the desired bit-masking value.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">high_bit_fast</code>
</p>
</td>
<td>
<p>
A <code class="literal">fast</code> analog of <code class="literal">high_bit</code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">bit_position</code>
</p>
</td>
<td>
<p>
The value of the template parameter, in case its needed from a renamed
instantiation of the class template.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.group_bit_mask_class_template"></a><a class="link" href="mask.html#boost_integer.mask.group_bit_mask_class_template" title="Group Bit-Mask Class Template">Group
Bit-Mask Class Template</a>
</h3></div></div></div>
<p>
The <code class="literal">boost::low_bits_mask_t</code> class template provides constants
for bit masks representing the lowest bits of a certain amount. The masks
are equivalent to the value (2<sup>Bits</sup> - 1), where <code class="literal">Bits</code> is
the template parameter. The bit amount must be a nonnegative number from
zero to <span class="emphasis"><em>Max</em></span>, where Max is the number of bits supported
by the largest unsigned built-in integral type. The following table describes
the members of an instantiation of <code class="literal">low_bits_mask_t</code>.
</p>
<div class="table">
<a name="id674318"></a><p class="title"><b>Table 3. Members of the [^boost::low_bits_mask_t] Class Template</b></p>
<div class="table-contents"><table class="table" summary="Members of the [^boost::low_bits_mask_t] Class Template">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Member
</p>
</th>
<th>
<p>
Meaning
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="literal">least</code>
</p>
</td>
<td>
<p>
The smallest unsigned built-in type that supports the given bit count.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">fast</code>
</p>
</td>
<td>
<p>
The quick-to-manipulate analog of <code class="literal">least</code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">sig_bits</code>
</p>
</td>
<td>
<p>
A <code class="literal">least</code> constant of the desired bit-masking value.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">sig_bits_fast</code>
</p>
</td>
<td>
<p>
A <code class="literal">fast</code> analog of <code class="literal">sig_bits</code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">bit_count</code>
</p>
</td>
<td>
<p>
The value of the template parameter, in case its needed from a renamed
instantiation of the class template.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.implementation_notes"></a><a class="link" href="mask.html#boost_integer.mask.implementation_notes" title="Implementation Notes">Implementation
Notes</a>
</h3></div></div></div>
<p>
When <code class="literal">Bits</code> is the exact size of a built-in unsigned type,
the implementation has to change to prevent undefined behavior. Therefore,
there are specializations of <code class="literal">low_bits_mask_t</code> at those
bit counts.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.example"></a><a class="link" href="mask.html#boost_integer.mask.example" title="Example">Example</a>
</h3></div></div></div>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">integer</span><span class="special">/</span><span class="identifier">integer_mask</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="comment">//...
</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">high_bit_mask_t</span><span class="special">&lt;</span><span class="number">29</span><span class="special">&gt;</span> <span class="identifier">mask1_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">low_bits_mask_t</span><span class="special">&lt;</span><span class="number">15</span><span class="special">&gt;</span> <span class="identifier">mask2_type</span><span class="special">;</span>
<span class="identifier">mask1_type</span><span class="special">::</span><span class="identifier">least</span> <span class="identifier">my_var1</span><span class="special">;</span>
<span class="identifier">mask2_type</span><span class="special">::</span><span class="identifier">fast</span> <span class="identifier">my_var2</span><span class="special">;</span>
<span class="comment">//...
</span>
<span class="identifier">my_var1</span> <span class="special">|=</span> <span class="identifier">mask1_type</span><span class="special">::</span><span class="identifier">high_bit</span><span class="special">;</span>
<span class="identifier">my_var2</span> <span class="special">&amp;=</span> <span class="identifier">mask2_type</span><span class="special">::</span><span class="identifier">sig_bits_fast</span><span class="special">;</span>
<span class="comment">//...
</span><span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.demonstration_program"></a><a class="link" href="mask.html#boost_integer.mask.demonstration_program" title="Demonstration Program">Demonstration
Program</a>
</h3></div></div></div>
<p>
The program <a href="../../../test/integer_mask_test.cpp" target="_top">integer_mask_test.cpp</a>
is a simplistic demonstration of the results from instantiating various examples
of the bit mask class templates.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.rationale"></a><a class="link" href="mask.html#boost_integer.mask.rationale" title="Rationale">Rationale</a>
</h3></div></div></div>
<p>
The class templates in this header are an extension of the <a class="link" href="integer.html" title="Integer Type Selection">integer
type selection class templates</a>. The new class templates provide the
same sized types, but also convienent masks to use when extracting the highest
or all the significant bits when the containing built-in type contains more
bits. This prevents contaimination of values by the higher, unused bits.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.mask.credits"></a><a class="link" href="mask.html#boost_integer.mask.credits" title="Credits">Credits</a>
</h3></div></div></div>
<p>
The author of the Boost bit mask class templates is <a href="http://www.boost.org/people/daryle_walker.html" target="_top">Daryle
Walker</a>.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_integer.minmax"></a><a class="link" href="minmax.html" title="Compile time min/max calculation"> Compile time min/max calculation</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.usage">Usage</a></span></dt>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.example">Example</a></span></dt>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.demonstration_program">Demonstration
Program</a></span></dt>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.rationale">Rationale</a></span></dt>
<dt><span class="section"><a href="minmax.html#boost_integer.minmax.credits">Credits</a></span></dt>
</dl></div>
<p>
The class templates in <a href="../../../../../boost/integer/static_min_max.hpp" target="_top">&lt;boost/integer/static_min_max.hpp&gt;</a>
provide a compile-time evaluation of the minimum or maximum of two integers.
These facilities are useful for generic programming problems.
</p>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.synopsis"></a><a class="link" href="minmax.html#boost_integer.minmax.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span>
<span class="special">{</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined</em></span> <span class="identifier">static_min_max_signed_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>implementation-defined</em></span> <span class="identifier">static_min_max_unsigned_type</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">static_min_max_signed_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_min_max_signed_type</span> <span class="identifier">Value2</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_signed_min</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">static_min_max_signed_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_min_max_signed_type</span> <span class="identifier">Value2</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_signed_max</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">static_min_max_unsigned_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_min_max_unsigned_type</span> <span class="identifier">Value2</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_unsigned_min</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="identifier">static_min_max_unsigned_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_min_max_unsigned_type</span> <span class="identifier">Value2</span><span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_unsigned_max</span><span class="special">;</span>
<span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.usage"></a><a class="link" href="minmax.html#boost_integer.minmax.usage" title="Usage">Usage</a>
</h3></div></div></div>
<p>
The four class templates provide the combinations for finding the minimum
or maximum of two signed or <code class="literal">unsigned</code> (<code class="literal">long</code>)
parameters, Value1 and Value2, at compile-time. Each template has a single
static data member, <code class="literal">value</code>, which is set to the respective
minimum or maximum of the template's parameters.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.example"></a><a class="link" href="minmax.html#boost_integer.minmax.example" title="Example">Example</a>
</h3></div></div></div>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">integer</span><span class="special">/</span><span class="identifier">static_min_max</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="identifier">AddendSize1</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="identifier">AddendSize2</span> <span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">adder</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="keyword">static</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">const</span> <span class="identifier">addend1_size</span> <span class="special">=</span> <span class="identifier">AddendSize1</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">const</span> <span class="identifier">addend2_size</span> <span class="special">=</span> <span class="identifier">AddendSize2</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">unsigned</span> <span class="keyword">long</span> <span class="keyword">const</span> <span class="identifier">sum_size</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">static_unsigned_max</span><span class="special">&lt;</span><span class="identifier">AddendSize1</span><span class="special">,</span> <span class="identifier">AddendSize2</span><span class="special">&gt;::</span><span class="identifier">value</span> <span class="special">+</span> <span class="number">1</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="keyword">int</span> <span class="identifier">addend1_type</span><span class="special">[</span> <span class="identifier">addend1_size</span> <span class="special">];</span>
<span class="keyword">typedef</span> <span class="keyword">int</span> <span class="identifier">addend2_type</span><span class="special">[</span> <span class="identifier">addend2_size</span> <span class="special">];</span>
<span class="keyword">typedef</span> <span class="keyword">int</span> <span class="identifier">sum_type</span><span class="special">[</span> <span class="identifier">sum_size</span> <span class="special">];</span>
<span class="keyword">void</span> <span class="keyword">operator</span> <span class="special">()(</span> <span class="identifier">addend1_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a1</span><span class="special">,</span> <span class="identifier">addend2_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a2</span><span class="special">,</span> <span class="identifier">sum_type</span> <span class="special">&amp;</span><span class="identifier">s</span> <span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="special">};</span>
<span class="comment">//...
</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">int</span> <span class="keyword">const</span> <span class="identifier">a1</span><span class="special">[]</span> <span class="special">=</span> <span class="special">{</span> <span class="number">0</span><span class="special">,</span> <span class="number">4</span><span class="special">,</span> <span class="number">3</span> <span class="special">};</span> <span class="comment">// 340
</span> <span class="keyword">int</span> <span class="keyword">const</span> <span class="identifier">a2</span><span class="special">[]</span> <span class="special">=</span> <span class="special">{</span> <span class="number">9</span><span class="special">,</span> <span class="number">8</span> <span class="special">};</span> <span class="comment">// 89
</span> <span class="keyword">int</span> <span class="identifier">s</span><span class="special">[</span> <span class="number">4</span> <span class="special">];</span>
<span class="identifier">adder</span><span class="special">&lt;</span><span class="number">3</span><span class="special">,</span><span class="number">2</span><span class="special">&gt;</span> <span class="identifier">obj</span><span class="special">;</span>
<span class="identifier">obj</span><span class="special">(</span> <span class="identifier">a1</span><span class="special">,</span> <span class="identifier">a2</span><span class="special">,</span> <span class="identifier">s</span> <span class="special">);</span> <span class="comment">// 's' should be 429 or { 9, 2, 4, 0 }
</span> <span class="comment">//...
</span><span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.demonstration_program"></a><a class="link" href="minmax.html#boost_integer.minmax.demonstration_program" title="Demonstration Program">Demonstration
Program</a>
</h3></div></div></div>
<p>
The program <a href="../../../test/static_min_max_test.cpp" target="_top">static_min_max_test.cpp</a>
is a simplistic demonstration of various comparisons using the compile-time
extrema class templates.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.rationale"></a><a class="link" href="minmax.html#boost_integer.minmax.rationale" title="Rationale">Rationale</a>
</h3></div></div></div>
<p>
Sometimes the minimum or maximum of several values needs to be found for
later compile-time processing, <span class="emphasis"><em>e.g.</em></span> for a bound for
another class template.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.minmax.credits"></a><a class="link" href="minmax.html#boost_integer.minmax.credits" title="Credits">Credits</a>
</h3></div></div></div>
<p>
The author of the Boost compile-time extrema class templates is <a href="http://www.boost.org/people/daryle_walker.html" target="_top">Daryle
Walker</a>.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_integer.traits"></a><a class="link" href="traits.html" title="Integer Traits"> Integer Traits</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="traits.html#boost_integer.traits.motivation">Motivation</a></span></dt>
<dt><span class="section"><a href="traits.html#boost_integer.traits.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="traits.html#boost_integer.traits.description">Description</a></span></dt>
<dt><span class="section"><a href="traits.html#boost_integer.traits.test_program">Test Program</a></span></dt>
<dt><span class="section"><a href="traits.html#boost_integer.traits.acknowledgements">Acknowledgements</a></span></dt>
</dl></div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.traits.motivation"></a><a class="link" href="traits.html#boost_integer.traits.motivation" title="Motivation">Motivation</a>
</h3></div></div></div>
<p>
The C++ Standard Library &lt;limits&gt; header supplies a class template
<code class="computeroutput"><span class="identifier">numeric_limits</span><span class="special">&lt;&gt;</span></code>
with specializations for each fundamental type.
</p>
<p>
For integer types, the interesting members of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;&gt;</span></code> are:
</p>
<pre class="programlisting"><span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_specialized</span><span class="special">;</span> <span class="comment">// Will be true for integer types.
</span><span class="keyword">static</span> <span class="identifier">T</span> <span class="identifier">min</span><span class="special">()</span> <span class="keyword">throw</span><span class="special">();</span> <span class="comment">// Smallest representable value.
</span><span class="keyword">static</span> <span class="identifier">T</span> <span class="identifier">max</span><span class="special">()</span> <span class="keyword">throw</span><span class="special">();</span> <span class="comment">// Largest representable value.
</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> <span class="identifier">digits</span><span class="special">;</span> <span class="comment">// For integers, the number of value bits.
</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> <span class="identifier">digits10</span><span class="special">;</span> <span class="comment">// The number of base 10 digits that can be represented.
</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_signed</span><span class="special">;</span> <span class="comment">// True if the type is signed.
</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_integer</span><span class="special">;</span> <span class="comment">// Will be true for all integer types.
</span></pre>
<p>
For many uses, these are sufficient. But min() and max() are problematical
because they are not constant expressions (std::5.19), yet some usages require
constant expressions.
</p>
<p>
The template class <code class="literal">integer_traits</code> addresses this problem.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.traits.synopsis"></a><a class="link" href="traits.html#boost_integer.traits.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">integer_traits</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">is_integral</span> <span class="special">=</span> <span class="keyword">false</span><span class="special">;</span>
<span class="comment">//
</span> <span class="comment">// These members are defined only if T is a built-in
</span> <span class="comment">// integal type:
</span> <span class="comment">//
</span> <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">const_min</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">const_max</span> <span class="special">=</span> <span class="emphasis"><em>implementation-defined</em></span><span class="special">;</span>
<span class="special">};</span>
<span class="special">}</span>
</pre>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.traits.description"></a><a class="link" href="traits.html#boost_integer.traits.description" title="Description">Description</a>
</h3></div></div></div>
<p>
Template class <code class="literal">integer_traits</code> is derived from <code class="literal">std::numeric_limits</code>.
In general, it adds the single <code class="literal">bool</code> member <code class="literal">is_integral</code>
with the compile-time constant value <code class="literal">false</code>. However, for
all integral types <code class="literal">T</code> (std::3.9.1/7 [basic.fundamental]),
there are specializations provided with the following compile-time constants
defined:
</p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
member
</p>
</th>
<th>
<p>
type
</p>
</th>
<th>
<p>
value
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="literal">is_integral</code>
</p>
</td>
<td>
<p>
bool
</p>
</td>
<td>
<p>
<code class="literal">true</code>
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">const_min</code>
</p>
</td>
<td>
<p>
<code class="literal">T</code>
</p>
</td>
<td>
<p>
equivalent to <code class="literal">std::numeric_limits&lt;T&gt;::min()</code>
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="literal">const_max</code>
</p>
</td>
<td>
<p>
<code class="literal">T</code>
</p>
</td>
<td>
<p>
equivalent to <code class="literal">std::numeric_limits&lt;T&gt;::max()</code>
</p>
</td>
</tr>
</tbody>
</table></div>
<p>
Note: A flag <code class="literal">is_integral</code> is provided, because a user-defined
integer class should specialize <code class="literal">std::numeric_limits&lt;&gt;::is_integer
= true</code>, nonetheless compile-time constants <code class="literal">const_min</code>
and <code class="literal">const_max</code> cannot be provided for that user-defined
class.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.traits.test_program"></a><a class="link" href="traits.html#boost_integer.traits.test_program" title="Test Program">Test Program</a>
</h3></div></div></div>
<p>
The program <code class="literal"><a href="../../../test/integer_traits_test.cpp" target="_top">integer_traits_test.cpp</a></code>
exercises the <code class="literal">integer_traits</code> class.
</p>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.traits.acknowledgements"></a><a class="link" href="traits.html#boost_integer.traits.acknowledgements" title="Acknowledgements">Acknowledgements</a>
</h3></div></div></div>
<p>
Beman Dawes, Ed Brey, Steve Cleary, and Nathan Myers discussed the integer
traits idea on the boost mailing list in August 1999.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock<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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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<div><h2 class="title">
<a name="boost_integer"></a>Boost.Integer</h2></div>
<div><div class="authorgroup">
<div class="author"><h3 class="author">
<span class="firstname">Beman</span> <span class="surname">Dawes</span>
</h3></div>
<div class="author"><h3 class="author">
<span class="firstname">Daryle</span> <span class="surname">Walker</span>
</h3></div>
<div class="author"><h3 class="author">
<span class="firstname">Gennaro</span> <span class="surname">Prota</span>
</h3></div>
<div class="author"><h3 class="author">
<span class="firstname">John</span> <span class="surname">Maddock</span>
</h3></div>
</div></div>
<div><p class="copyright">Copyright © 2001 -2009 Beman Dawes, Daryle Walker, Gennaro Prota,
John Maddock</p></div>
<div><div class="legalnotice">
<a name="id662860"></a><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" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></div>
</div>
<hr>
</div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl>
<dt><span class="section"><a href="index.html#boost_integer.overview"> Overview</a></span></dt>
<dt><span class="section"><a href="boost_integer/cstdint.html"> Standard Integer Types</a></span></dt>
<dt><span class="section"><a href="boost_integer/traits.html"> Integer Traits</a></span></dt>
<dt><span class="section"><a href="boost_integer/integer.html"> Integer Type Selection</a></span></dt>
<dt><span class="section"><a href="boost_integer/mask.html"> Integer Masks</a></span></dt>
<dt><span class="section"><a href="boost_integer/log2.html"> Compile time log2 Calculation</a></span></dt>
<dt><span class="section"><a href="boost_integer/minmax.html"> Compile time min/max calculation</a></span></dt>
<dt><span class="section"><a href="boost_integer/history.html"> History</a></span></dt>
</dl>
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_integer.overview"></a><a class="link" href="index.html#boost_integer.overview" title="Overview"> Overview</a>
</h2></div></div></div>
<p>
Boost.Integer consists of the following components:
</p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Component
</p>
</th>
<th>
<p>
Header
</p>
</th>
<th>
<p>
Purpose
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
Forward Declarations.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer_fwd.hpp" target="_top">&lt;boost/integer_fwd.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Forward declarations of classes and class templates - for use when
just the name of a class is needed.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/cstdint.html" title="Standard Integer Types">Standard Integer Types</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/cstdint.hpp" target="_top">&lt;boost/cstdint.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Provides typedef's based on the 1999 C Standard header <code class="computeroutput"><span class="special">&lt;</span><span class="identifier">stdint</span><span class="special">.</span><span class="identifier">h</span><span class="special">&gt;</span></code>, wrapped in namespace boost. This
implementation may #include the compiler supplied <code class="computeroutput"><span class="special">&lt;</span><span class="identifier">stdint</span><span class="special">.</span><span class="identifier">h</span><span class="special">&gt;</span></code>,
if present.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/traits.html" title="Integer Traits">Integer Traits</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer_traits.hpp" target="_top">&lt;boost/integer_traits.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Class template <code class="literal">boost::integer_traits</code>, derives from
<code class="literal">std::numeric_limits</code> and adds <code class="literal">const_min</code>
and <code class="literal">const_max</code> members.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/integer.html" title="Integer Type Selection">Integer Type Selection</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/hpp" target="_top">&lt;boost/integer.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Templates for integer type selection based on properties such as maximum
value or number of bits: Use to select the type of an integer when
some property such as maximum value or number of bits is known. Useful
for generic programming.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/mask.html" title="Integer Masks">Integer Masks</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer/integer_mask.hpp" target="_top">&lt;boost/integer/integer_mask.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Templates for the selection of integer masks, single or lowest group,
based on the number of bits: Use to select a particular mask when the
bit position(s) are based on a compile-time variable. Useful for generic
programming.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/log2.html" title="Compile time log2 Calculation">Compile time log2 Calculation</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer/static_log2.hpp" target="_top">&lt;boost/integer/static_log2.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Template for finding the highest power of two in a number: Use to find
the bit-size/range based on a maximum value. Useful for generic programming.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/minmax.html" title="Compile time min/max calculation">Compile time min/max calculation</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer/static_min_max.hpp" target="_top">&lt;boost/integer/static_min_max.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Templates for finding the extrema of two numbers: Use to find a bound
based on a minimum or maximum value. Useful for generic programming.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: November 25, 2009 at 12:02:32 GMT</small></p></td>
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[article Boost.Integer
[quickbook 1.5]
[copyright 2001-2009 Beman Dawes, Daryle Walker, Gennaro Prota, John Maddock]
[purpose Integer Type Selection]
[license
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])
]
[authors [Dawes, Beman], [Walker, Daryle], [Prota, Gennaro], [Maddock, John]]
[/last-revision $Date: 2008-02-21 12:58:15 +0000 (Thu, 21 Feb 2008) $]
]
[template super[x]'''<superscript>'''[x]'''</superscript>''']
[section:overview Overview]
Boost.Integer consists of the following components:
[table
[[Component][Header][Purpose]]
[
[Forward Declarations.]
[[^[@../../../../boost/integer_fwd.hpp <boost/integer_fwd.hpp>]]]
[Forward declarations of classes and class templates - for use when just the name of a class is needed.]
]
[
[[link boost_integer.cstdint Standard Integer Types].]
[[^[@../../../../boost/cstdint.hpp <boost/cstdint.hpp>]]]
[Provides typedef's based on the 1999 C Standard header `<stdint.h>`, wrapped in namespace boost.
This implementation may #include the compiler supplied `<stdint.h>`, if present.]
]
[
[[link boost_integer.traits Integer Traits].]
[[^[@../../../../boost/integer_traits.hpp <boost/integer_traits.hpp>]]]
[Class template [^boost::integer_traits], derives from [^std::numeric_limits] and adds [^const_min] and [^const_max] members.]
]
[
[[link boost_integer.integer Integer Type Selection].]
[[^[@../../../../boost/hpp <boost/integer.hpp>]]]
[Templates for integer type selection based on properties such as maximum value or number of bits:
Use to select the type of an integer when some property such as maximum value or number of bits is known.
Useful for generic programming. ]
]
[
[[link boost_integer.mask Integer Masks].]
[[^[@../../../../boost/integer/integer_mask.hpp <boost/integer/integer_mask.hpp>]]]
[Templates for the selection of integer masks, single or lowest group, based on the number of bits:
Use to select a particular mask when the bit position(s) are based on a compile-time variable. Useful for generic programming. ]
]
[
[[link boost_integer.log2 Compile time log2 Calculation].]
[[^[@../../../../boost/integer/static_log2.hpp <boost/integer/static_log2.hpp>]]]
[Template for finding the highest power of two in a number:
Use to find the bit-size/range based on a maximum value. Useful for generic programming. ]
]
[
[[link boost_integer.minmax Compile time min/max calculation].]
[[^[@../../../../boost/integer/static_min_max.hpp <boost/integer/static_min_max.hpp>]]]
[Templates for finding the extrema of two numbers:
Use to find a bound based on a minimum or maximum value. Useful for generic programming. ]
]
]
[endsect]
[section:cstdint Standard Integer Types]
[section Overview]
The header [^[@../../../../boost/cstdint.hpp <boost/cstdint.hpp>]] provides the typedef's useful
for writing portable code that requires certain integer widths. All typedef's are in namespace boost.
The specifications are based on the ISO/IEC 9899:1999 C Language standard header <stdint.h>.
The 64-bit types required by the C standard are not required in the boost header,
and may not be supplied in all implementations, because [^long long] is not [yet] included in the C++ standard.
See [@../../test/cstdint_test.cpp cstdint_test.cpp] for a test program.
[endsect]
[section:rationale Rationale]
The organization of the Boost.Integer headers and classes is designed to take advantage of <stdint.h> types from the
1999 C standard without resorting to undefined behavior in terms of the 1998 C++ standard.
The header <boost/cstdint.hpp> makes the standard integer types safely available in namespace [^boost]
without placing any names in namespace [^std]. As always, the intension is to complement rather than compete
with the C++ Standard Library. Should some future C++ standard include <stdint.h> and <cstdint>,
then <boost/cstdint.hpp> will continue to function, but will become redundant and may be safely deprecated.
Because these are boost headers, their names conform to boost header naming conventions rather than
C++ Standard Library header naming conventions.
[endsect]
[section:ce ['Caveat emptor]]
As an implementation artifact, certain C <limits.h> macro names may possibly be
visible to users of <boost/cstdint.hpp>. Don't use these macros; they are not part of
any Boost-specified interface. Use [^boost::integer_traits<>] or [^std::numeric_limits<>] instead.
As another implementation artifact, certain C <stdint.h> typedef names may possibly be visible
in the global namespace to users of <boost/cstdint.hpp>. Don't use these names, they are not part of
any Boost-specified interface. Use the respective names in namespace [^boost] instead.
[endsect]
[section Exact-width integer types]
The typedef [^int#_t], with # replaced by the width, designates a signed integer type of exactly # bits;
for example [^int8_t] denotes an 8-bit signed integer type. Similarly, the typedef [^uint#_t] designates an unsigned
integer type of exactly # bits.
These types are optional. However, if an implementation provides integer types with widths of 8, 16, 32, or 64 bits,
it shall define the corresponding typedef names.
The absence of int64_t and uint64_t is indicated by the macro `BOOST_NO_INT64_T`.
[endsect]
[section Minimum-width integer types]
The typedef [^int_least#_t], with # replaced by the width, designates a signed integer type with a width
of at least # bits, such that no signed integer type with lesser size has at least the specified width.
Thus, [^int_least32_t] denotes a signed integer type with a width of at least 32 bits.
Similarly, the typedef name [^uint_least#_t] designates an unsigned integer type with a width of at least # bits,
such that no unsigned integer type with lesser size has at least the specified width.
Required minimum-width integer types:
* [^int_least8_t]
* [^int_least16_t]
* [^int_least32_t]
* [^uint_least8_t]
* [^uint_least16_t]
* [^uint_least32_t]
The types:
* [^int_least64_t]
* [^uint_least64_t]
Are available only if, after inclusion of [^<boost/cstdint.hpp>] the macro `BOOST_NO_INT64_T` is ['[*not defined]].
All other minimum-width integer types are optional.
[endsect]
[section Fastest minimum-width integer types]
The typedef [^int_fast#_t], with # replaced by the width, designates the fastest signed integer type
with a width of at least # bits. Similarly, the typedef name [^uint_fast#_t] designates the fastest
unsigned integer type with a width of at least # bits.
There is no guarantee that these types are fastest for all purposes. In any case, however, they satisfy
the signedness and width requirements.
Required fastest minimum-width integer types:
* [^int_fast8_t]
* [^int_fast16_t]
* [^int_fast32_t]
* [^uint_fast8_t]
* [^uint_fast16_t]
* [^uint_fast32_t]
The types:
* [^int_fast64_t]
* [^uint_fast64_t]
Are available only if, after inclusion of [^<boost/cstdint.hpp>] the macro `BOOST_NO_INT64_T` is ['[*not defined]].
All other fastest minimum-width integer types are optional.
[endsect]
[section Greatest-width integer types]
The typedef [^intmax_t ]designates a signed integer type capable of representing any value of any signed integer type.
The typedef [^uintmax_t] designates an unsigned integer type capable of representing any value of any unsigned integer type.
These types are required.
[endsect]
[endsect]
[section:traits Integer Traits]
[section Motivation]
The C++ Standard Library <limits> header supplies a class template `numeric_limits<>` with specializations for each fundamental type.
For integer types, the interesting members of `std::numeric_limits<>` are:
static const bool is_specialized; // Will be true for integer types.
static T min() throw(); // Smallest representable value.
static T max() throw(); // Largest representable value.
static const int digits; // For integers, the number of value bits.
static const int digits10; // The number of base 10 digits that can be represented.
static const bool is_signed; // True if the type is signed.
static const bool is_integer; // Will be true for all integer types.
For many uses, these are sufficient.
But min() and max() are problematical because they are not constant expressions (std::5.19),
yet some usages require constant expressions.
The template class [^integer_traits] addresses this problem.
[endsect]
[section Synopsis]
namespace boost {
template<class T>
class integer_traits : public std::numeric_limits<T>
{
static const bool is_integral = false;
//
// These members are defined only if T is a built-in
// integal type:
//
static const T const_min = ``['implementation-defined]``;
static const T const_max = ``['implementation-defined]``;
};
}
[endsect]
[section Description]
Template class [^integer_traits] is derived from [^std::numeric_limits]. In general, it adds the single
[^bool] member [^is_integral] with the compile-time constant value [^false].
However, for all integral types [^T] (std::3.9.1/7 [basic.fundamental]), there are specializations
provided with the following compile-time constants defined:
[table
[[member][type][value]]
[[[^is_integral]][bool][[^true]]]
[[[^const_min]][[^T]][equivalent to [^std::numeric_limits<T>::min()]]]
[[[^const_max]][[^T]][equivalent to [^std::numeric_limits<T>::max()]]]
]
Note: A flag [^is_integral] is provided, because a user-defined integer class should specialize
[^std::numeric_limits<>::is_integer = true], nonetheless compile-time constants
[^const_min] and [^const_max] cannot be provided for that user-defined class.
[endsect]
[section Test Program]
The program [^[@../../test/integer_traits_test.cpp integer_traits_test.cpp]] exercises the [^integer_traits] class.
[endsect]
[section Acknowledgements]
Beman Dawes, Ed Brey, Steve Cleary, and Nathan Myers discussed the integer traits idea on the boost mailing list in August 1999.
[endsect]
[endsect]
[section:integer Integer Type Selection]
The [@../../../../boost/integer.hpp <boost/integer.hpp>] type selection templates allow
integer types to be selected based on desired characteristics such as number of bits or maximum value.
This facility is particularly useful for solving generic programming problems.
[section:synopsis Synopsis]
namespace boost
{
// fast integers from least integers
template<typename LeastInt>
struct int_fast_t
{
typedef ``['implementation-defined-type]`` fast;
};
// signed
template<int Bits>
struct int_t
{
typedef ``['implementation-defined-type]`` least;
typedef int_fast_t<least>::fast fast;
};
// unsigned
template<int Bits>
struct uint_t
{
typedef ``['implementation-defined-type]`` least;
typedef int_fast_t<least>::fast fast;
};
// signed
template<long long MaxValue>
struct int_max_value_t
{
typedef ``['implementation-defined-type]`` least;
typedef int_fast_t<least>::fast fast;
};
template<long long MinValue>
struct int_min_value_t
{
typedef ``['implementation-defined-type]`` least;
typedef int_fast_t<least>::fast fast;
};
// unsigned
template<unsigned long long Value>
struct uint_value_t
{
typedef ``['implementation-defined-type]`` least;
typedef int_fast_t<least>::fast fast;
};
} // namespace boost
[endsect]
[section:easiest Easiest-to-Manipulate Types]
The [^int_fast_t] class template maps its input type to the next-largest type that the processor
can manipulate the easiest, or to itself if the input type is already an easy-to-manipulate type.
For instance, processing a bunch of [^char] objects may go faster if they were converted to [^int] objects before processing.
The input type, passed as the only template parameter, must be a built-in integral type, except [^bool].
Unsigned integral types can be used, as well as signed integral types, despite the name.
The output type is given as the class member [^fast].
[*Implementation Notes:]
By default, the output type is identical to the input type. Eventually, this code's implementation should
be conditionalized for each platform to give accurate mappings between the built-in types and the easiest-to-manipulate
built-in types. Also, there is no guarantee that the output type actually is easier to manipulate than the input type.
[endsect]
[section:sized Sized Types]
The [^int_t], [^uint_t], [^int_max_value_t], [^int_min_value_t], and [^uint_value_t] class templates find
the most appropiate built-in integral type for the given template parameter. This type is given by the
class member [^least]. The easiest-to-manipulate version of that type is given by the class member [^fast].
The following table describes each template's criteria.
[table Criteria for the Sized Type Class Templates
[
[Class Template][Template Parameter Mapping]
]
[
[[^boost::int_t<N>]]
[The smallest built-in signed integral type with at least /N/ bits, including the sign bit.
The parameter should be a positive number. A compile-time error results if the parameter is
larger than the number of bits in the largest integer type.]
]
[
[[^boost::uint_t<N>]]
[The smallest built-in unsigned integral type with at least /N/ bits.
The parameter should be a positive number. A compile-time error results if the
parameter is larger than the number of bits in the largest integer type.]
]
[
[[^boost::int_max_value_t<V>]]
[The smallest built-in signed integral type that can hold all the values in the inclusive range ['0 - V].
The parameter should be a positive number.]
]
[
[[^boost::int_min_value_t<V>]]
[The smallest built-in signed integral type that can hold all the values in the inclusive range ['V-0].
The parameter should be a negative number.]
]
[
[[^boost::uint_value_t<V>]]
[The smallest built-in unsigned integral type that can hold all positive values
up to and including /V/. The parameter should be a positive number.]
]
]
[endsect]
[section Example]
#include <boost/integer.hpp>
//...
int main()
{
boost::int_t<24>::least my_var; // my_var has at least 24-bits
//...
// This one is guarenteed not to be truncated:
boost::int_max_value_t<1000>::least my1000 = 1000;
//...
// This one is guarenteed not to be truncated, and as fast
// to manipulate as possible, it's size may be greater than
// that of my1000:
boost::int_max_value_t<1000>::fast my_fast1000 = 1000;
}
[endsect]
[section Demonstration Program]
The program [@../../test/integer_test.cpp integer_test.cpp] is a simplistic demonstration of the results from instantiating
various examples of the sized type class templates.
[endsect]
[section Rationale]
The rationale for the design of the templates in this header includes:
* Avoid recursion because of concern about C++'s limited guaranteed recursion depth (17).
* Avoid macros on general principles.
* Try to keep the design as simple as possible.
[endsect]
[section Alternative]
If the number of bits required is known beforehand, it may be more appropriate to use the types supplied
in [@../../../../boost/cstdint.hpp <boost/cstdint.hpp>].
[endsect]
[section Credits]
The author of most of the Boost integer type choosing templates is
[@http://www.boost.org/people/beman_dawes.html Beman Dawes].
He gives thanks to Valentin Bonnard and [@http://www.boost.org/people/kevlin_henney.htm Kevlin Henney]
for sharing their designs for similar templates.
[@http://www.boost.org/people/daryle_walker.html Daryle Walker] designed the value-based sized templates.
[endsect]
[endsect]
[section:mask Integer Masks]
[section Overview]
The class templates in [@../../../../boost/integer/integer_mask.hpp <boost/integer/integer_mask.hpp>]
provide bit masks for a certain bit position or a contiguous-bit pack of a certain size.
The types of the masking constants come from the [link boost_integer.integer integer type selection templates] header.
[endsect]
[section Synopsis]
#include <cstddef> // for std::size_t
namespace boost
{
template <std::size_t Bit>
struct high_bit_mask_t
{
typedef ``['implementation-defined-type]`` least;
typedef ``['implementation-defined-type]`` fast;
static const least high_bit = ``['implementation-defined]``;
static const fast high_bit_fast = ``['implementation-defined]``;
static const std::size_t bit_position = Bit;
};
template <std::size_t Bits>
struct low_bits_mask_t
{
typedef ``['implementation-defined-type]`` least;
typedef ``['implementation-defined-type]`` fast;
static const least sig_bits = ``['implementation-defined]``;
static const fast sig_bits_fast = ``['implementation-defined]``;
static const std::size_t bit_count = Bits;
};
// Specializations for low_bits_mask_t exist for certain bit counts.
} // namespace boost
[endsect]
[section Single Bit-Mask Class Template]
The [^boost::high_bit_mask_t] class template provides constants for bit masks representing the bit at a
certain position. The masks are equivalent to the value 2[super Bit], where [^Bit] is the template parameter.
The bit position must be a nonnegative number from zero to ['Max], where Max is one less than the
number of bits supported by the largest unsigned built-in integral type. The following table describes
the members of an instantiation of [^high_bit_mask_t].
[table Members of the `boost::high_bit_mask_t` Class Template
[[Member][Meaning]]
[[[^least]][The smallest unsigned built-in type that supports the given bit position.]]
[[[^fast]][The quick-to-manipulate analog of [^least].]]
[[[^high_bit]][A [^least] constant of the desired bit-masking value.]]
[[[^high_bit_fast]][A [^fast] analog of [^high_bit].]]
[[[^bit_position]][The value of the template parameter, in case its needed from a renamed instantiation of the class template.]]
]
[endsect]
[section Group Bit-Mask Class Template]
The [^boost::low_bits_mask_t] class template provides constants for bit masks representing the lowest
bits of a certain amount. The masks are equivalent to the value (2[super Bits] - 1),
where [^Bits] is the template parameter. The bit amount must be a nonnegative number from
zero to ['Max], where Max is the number of bits supported by the largest unsigned built-in integral type.
The following table describes the members of an instantiation of [^low_bits_mask_t].
[table Members of the [^boost::low_bits_mask_t] Class Template
[[Member][Meaning]]
[[[^least]][The smallest unsigned built-in type that supports the given bit count.]]
[[[^fast]][The quick-to-manipulate analog of [^least].]]
[[[^sig_bits]][A [^least] constant of the desired bit-masking value.]]
[[[^sig_bits_fast]][A [^fast] analog of [^sig_bits].]]
[[[^bit_count]][The value of the template parameter, in case its needed from a renamed instantiation of the class template.]]
]
[endsect]
[section Implementation Notes]
When [^Bits] is the exact size of a built-in unsigned type, the implementation has to change to
prevent undefined behavior. Therefore, there are specializations of [^low_bits_mask_t] at those bit counts.
[endsect]
[section Example]
#include <boost/integer/integer_mask.hpp>
//...
int main()
{
typedef boost::high_bit_mask_t<29> mask1_type;
typedef boost::low_bits_mask_t<15> mask2_type;
mask1_type::least my_var1;
mask2_type::fast my_var2;
//...
my_var1 |= mask1_type::high_bit;
my_var2 &= mask2_type::sig_bits_fast;
//...
}
[endsect]
[section Demonstration Program]
The program [@../../test/integer_mask_test.cpp integer_mask_test.cpp] is a simplistic demonstration of the
results from instantiating various examples of the bit mask class templates.
[endsect]
[section Rationale]
The class templates in this header are an extension of the [link boost_integer.integer integer type selection class templates].
The new class templates provide the same sized types, but also convienent masks to use when extracting the
highest or all the significant bits when the containing built-in type contains more bits.
This prevents contaimination of values by the higher, unused bits.
[endsect]
[section Credits]
The author of the Boost bit mask class templates is [@http://www.boost.org/people/daryle_walker.html Daryle Walker].
[endsect]
[endsect]
[section:log2 Compile time log2 Calculation]
The class template in [@../../../../boost/integer/static_log2.hpp <boost/integer/static_log2.hpp>]
determines the position of the highest bit in a given value. This facility is useful for solving generic programming problems.
[section Synopsis]
namespace boost
{
typedef ``['implementation-defined]`` static_log2_argument_type;
typedef ``['implementation-defined]`` static_log2_result_type;
template <static_log2_argument_type arg>
struct static_log2
{
static const static_log2_result_type value = ``['implementation-defined]``;
};
template < >
struct static_log2< 0 >
{
// The logarithm of zero is undefined.
};
} // namespace boost
[endsect]
[section Usage]
The [^boost::static_log2] class template takes one template parameter, a value of type
[^static_log2_argument_type]. The template only defines one member, [^value], which gives the
truncated base-two logarithm of the template argument.
Since the logarithm of zero, for any base, is undefined, there is a specialization of [^static_log2]
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.
Note:
* [^static_log2_argument_type] is an ['unsigned integer type] (C++ standard, 3.9.1p3).
* [^static_log2_result_type] is an ['integer type] (C++ standard, 3.9.1p7).
[endsect]
[section Example]
#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>();
//...
}
[endsect]
[section Demonstration Program]
The program [@../../test/static_log2_test.cpp static_log2_test.cpp] is a simplistic
demonstration of the results from instantiating various examples of the binary logarithm class template.
[endsect]
[section Rationale]
The base-two (binary) logarithm, abbreviated lb, 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.e.] at compile-time) available.
[endsect]
[section Credits]
The original version of the Boost binary logarithm class template was
written by [@http://www.boost.org/people/daryle_walker.html Daryle Walker] 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.
[endsect]
[endsect]
[section:minmax Compile time min/max calculation]
The class templates in [@../../../../boost/integer/static_min_max.hpp <boost/integer/static_min_max.hpp>]
provide a compile-time evaluation of the minimum or maximum of two integers. These facilities are useful
for generic programming problems.
[section Synopsis]
namespace boost
{
typedef ``['implementation-defined]`` static_min_max_signed_type;
typedef ``['implementation-defined]`` static_min_max_unsigned_type;
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2 >
struct static_signed_min;
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
struct static_signed_max;
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_min;
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_max;
}
[endsect]
[section Usage]
The four class templates provide the combinations for finding the minimum or maximum of two signed or
[^unsigned] ([^long]) parameters, Value1 and Value2, at compile-time. Each template has a single static data member,
[^value], which is set to the respective minimum or maximum of the template's parameters.
[endsect]
[section Example]
#include <boost/integer/static_min_max.hpp>
template < unsigned long AddendSize1, unsigned long AddendSize2 >
class adder
{
public:
static unsigned long const addend1_size = AddendSize1;
static unsigned long const addend2_size = AddendSize2;
static unsigned long const sum_size = boost::static_unsigned_max<AddendSize1, AddendSize2>::value + 1;
typedef int addend1_type[ addend1_size ];
typedef int addend2_type[ addend2_size ];
typedef int sum_type[ sum_size ];
void operator ()( addend1_type const &a1, addend2_type const &a2, sum_type &s ) const;
};
//...
int main()
{
int const a1[] = { 0, 4, 3 }; // 340
int const a2[] = { 9, 8 }; // 89
int s[ 4 ];
adder<3,2> obj;
obj( a1, a2, s ); // 's' should be 429 or { 9, 2, 4, 0 }
//...
}
[endsect]
[section Demonstration Program]
The program [@../../test/static_min_max_test.cpp static_min_max_test.cpp] is a simplistic demonstration of
various comparisons using the compile-time extrema class templates.
[endsect]
[section Rationale]
Sometimes the minimum or maximum of several values needs to be found for later compile-time processing,
['e.g.] for a bound for another class template.
[endsect]
[section Credits]
The author of the Boost compile-time extrema class templates is [@http://www.boost.org/people/daryle_walker.html Daryle Walker].
[endsect]
[endsect]
[section:history History]
[h4 1.42.0]
* Reverted Trunk to release branch state (i.e. a "known good state").
* Fixed issues: [@https://svn.boost.org/trac/boost/ticket/653 653],
[@https://svn.boost.org/trac/boost/ticket/3084 3084],
[@https://svn.boost.org/trac/boost/ticket/3177 3177],
[@https://svn.boost.org/trac/boost/ticket/3180 3180],
[@https://svn.boost.org/trac/boost/ticket/3548 3568],
[@https://svn.boost.org/trac/boost/ticket/3657 3657],
[@https://svn.boost.org/trac/boost/ticket/2134 2134].
* Added long long support to [^boost::static_log2], [^boost::static_signed_min], [^boost::static_signed_max],
[^boost::static_unsigned_min][^boost::static_unsigned_max], when available.
* The argument type and the result type of [^boost::static_signed_min] etc are now typedef'd.
Formerly, they were hardcoded as [^unsigned long] and [^int] respectively. Please, use the
provided typedefs in new code (and update old code as soon as possible).
[h4 1.32.0]
* The argument type and the result type of [^boost::static_log2] are now typedef'd.
Formerly, they were hardcoded as [^unsigned long] and [^int] respectively. Please, use the
provided typedefs in new code (and update old code as soon as possible).
[endsect]

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<html>
<head>
<title>Integer Bit Mask Templates</title>
</head>
<body bgcolor="white" text="black" link="blue" vlink="purple" alink="red">
<h1><img src="../../../boost.png" alt="boost.png (6897 bytes)"
align="middle" width="277" height="86">Integer Bit Mask Templates</h1>
<p>The class templates in <cite><a href="../../../boost/integer/integer_mask.hpp">&lt;boost/integer/integer_mask.hpp&gt;</a></cite> provide bit masks for a certain bit position or a contiguous-bit pack of a certain size. The types of the masking constants come from the <a href="../integer.htm">integer type selection templates</a> header.</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="#single">Single Bit-Mask Class Template</a></li>
<li><a href="#group">Group Bit-Mask Class Template</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>
</ul>
<h2><a name="synopsis">Synopsis</a></h2>
<blockquote><pre>
#include &lt;cstddef&gt; <i>// for std::size_t</i>
namespace boost
{
template &lt; std::size_t Bit &gt;
struct high_bit_mask_t
{
typedef <em>implementation_supplied</em> least;
typedef <em>implementation_supplied</em> fast;
static const least high_bit = <em>implementation_defined</em>;
static const fast high_bit_fast = <em>implementation_defined</em>;
static const std::size_t bit_position = Bit;
};
template &lt; std::size_t Bits &gt;
struct low_bits_mask_t
{
typedef <em>implementation_supplied</em> least;
typedef <em>implementation_supplied</em> fast;
static const least sig_bits = <em>implementation_defined</em>;
static const fast sig_bits_fast = <em>implementation_defined</em>;
static const std::size_t bit_count = Bits;
};
// Specializations for low_bits_mask_t exist for certain bit counts.
} // namespace boost
</pre></blockquote>
<h2><a name="single">Single Bit-Mask Class Template</a></h2>
<p>The <code>boost::high_bit_mask_t</code> class template provides
constants for bit masks representing the bit at a certain position. The
masks are equivalent to the value 2<sup><code>Bit</code></sup>, where
<code>Bit</code> is the template parameter. The bit position must be a
nonnegative number from zero to <i>Max</i>, where <dfn>Max</dfn> is one
less than the number of bits supported by the largest unsigned built-in
integral type. The following table describes the members of an
instantiation of <code>high_bit_mask_t</code>.</p>
<table border="1" cellpadding="5">
<caption>Members of the <code>boost::high_bit_mask_t</code> Class
Template</caption>
<tr>
<th>Member</th>
<th>Meaning</th>
</tr>
<tr>
<td><code>least</code></td>
<td>The smallest unsigned built-in type that supports the given
bit position.</td>
</tr>
<tr>
<td><code>fast</code></td>
<td>The quick-to-manipulate analog of <code>least</code>.</td>
</tr>
<tr>
<td><code>high_bit</code></td>
<td>A <code>least</code> constant of the desired bit-masking
value.</td>
</tr>
<tr>
<td><code>high_bit_fast</code></td>
<td>A <code>fast</code> analog of <code>high_bit</code>.</td>
</tr>
<tr>
<td><code>bit_position</code></td>
<td>The value of the template parameter, in case its needed from
a renamed instantiation of the class template.</td>
</tr>
</table>
<h2><a name="group">Group Bit-Mask Class Template</a></h2>
<p>The <code>boost::low_bits_mask_t</code> class template provides
constants for bit masks representing the lowest bits of a certain
amount. The masks are equivalent to the value
(2<sup><code>Bits</code></sup> - 1), where <code>Bits</code> is the
template parameter. The bit amount must be a nonnegative number from
zero to <i>Max</i>, where <dfn>Max</dfn> is the number of bits supported
by the largest unsigned built-in integral type. The following table
describes the members of an instantiation of
<code>low_bits_mask_t</code>.</p>
<table border="1" cellpadding="5">
<caption>Members of the <code>boost::low_bits_mask_t</code> Class
Template</caption>
<tr>
<th>Member</th>
<th>Meaning</th>
</tr>
<tr>
<td><code>least</code></td>
<td>The smallest unsigned built-in type that supports the given
bit count.</td>
</tr>
<tr>
<td><code>fast</code></td>
<td>The quick-to-manipulate analog of <code>least</code>.</td>
</tr>
<tr>
<td><code>sig_bits</code></td>
<td>A <code>least</code> constant of the desired bit-masking
value.</td>
</tr>
<tr>
<td><code>sig_bits_fast</code></td>
<td>A <code>fast</code> analog of <code>sig_bits</code>.</td>
</tr>
<tr>
<td><code>bit_count</code></td>
<td>The value of the template parameter, in case its needed from
a renamed instantiation of the class template.</td>
</tr>
</table>
<p><strong>Implementation Note</strong><br>
When <code>Bits</code> is the exact size of a built-in unsigned type,
the implementation has to change to prevent undefined behavior.
Therefore, there are specializations of <code>low_bits_mask_t</code> at
those bit counts.</p>
<h2><a name="example">Example</a></h2>
<blockquote><pre>
#include &lt;boost/integer/integer_mask.hpp&gt;
//...
int main()
{
typedef boost::high_bit_mask_t&lt;29&gt; mask1_type;
typedef boost::low_bits_mask_t&lt;15&gt; mask2_type;
mask1_type::least my_var1;
mask2_type::fast my_var2;
//...
my_var1 |= mask1_type::high_bit;
my_var2 &amp;= mask2_type::sig_bits_fast;
//...
}
</pre></blockquote>
<h2><a name="demo">Demonstration Program</a></h2>
<p>The program <a href="../test/integer_mask_test.cpp">integer_mask_test.cpp</a>
is a simplistic demonstration of the results from instantiating various
examples of the bit mask class templates.</p>
<h2><a name="rationale">Rationale</a></h2>
<p>The class templates in this header are an extension of the <a
href="../integer.htm">integer type selection class templates</a>. The new
class templates provide the same sized types, but also convienent masks
to use when extracting the highest or all the significant bits when the
containing built-in type contains more bits. This prevents
contaimination of values by the higher, unused bits.</p>
<h2><a name="credits">Credits</a></h2>
<p>The author of the Boost bit mask class templates is <a
href="http://www.boost.org/people/daryle_walker.html">Daryle Walker</a>.</p>
<hr>
<p>Revised September 23, 2001</p>
<p>&copy; Copyright Daryle Walker 2001. Use, modification, and distribution are
subject to the Boost Software License, Version 1.0. (See accompanying file <a
href="../../../LICENSE_1_0.txt">LICENSE_1_0.txt</a> or a copy at &lt;<a
href="http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>&gt;.)</p>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<html>
<head>
<title>Binary Logarithm Template</title>
</head>
<body bgcolor="white" text="black">
<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">&lt;boost/integer/static_log2.hpp&gt;</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 &lt; static_log2_argument_type arg &gt;
struct static_log2
{
static const static_log2_result_type value = <em>implementation-defined</em>;
};
template &lt; &gt;
struct static_log2&lt; 0 &gt;
{
// 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 &lt; boost::static_log2_argument_type value &gt;
bool is_it_what()
{
typedef boost::static_log2&lt;value&gt; lb_type;
int temp = lb_type::value;
//...
return (temp % 2) != 0;
}
//...
int main()
{
bool temp = is_it_what&lt;2000&gt;();
//...
# if 0
temp = is_it_what&lt;0&gt;(); // would give an error
# endif
//...
temp = is_it_what&lt;24&gt;();
//...
}
</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="http://www.boost.org/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>&copy; Copyright Daryle Walker 2001.<br>
&copy; 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>)
<br>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<html>
<head>
<title>Compile-Time Extrema Templates</title>
</head>
<body bgcolor="white" text="black" link="blue" alink="red" vlink="purple">
<h1><img src="../../../boost.png" alt="boost.png (6897 bytes)"
align="middle" width="277" height="86">Compile-Time Extrema
Templates</h1>
<p>The class templates in <cite><a
href="../../../boost/integer/static_min_max.hpp">&lt;boost/integer/static_min_max.hpp&gt;</a></cite>
provide a compile-time evaluation of the minimum or maximum of
two integers. These facilities are useful for 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>
</ul>
<h2><a name="synopsis">Synopsis</a></h2>
<blockquote><pre>
namespace boost
{
template &lt; long Value1, long Value2 &gt;
struct static_signed_min;
template &lt; long Value1, long Value2 &gt;
struct static_signed_max;
template &lt; unsigned long Value1, unsigned long Value2 &gt;
struct static_unsigned_min;
template &lt; unsigned long Value1, unsigned long Value2 &gt;
struct static_unsigned_max;
}
</pre></blockquote>
<h2><a name="usage">Usage</a></h2>
<p>The four class templates provide the combinations for finding the
minimum or maximum of two signed or <code>unsigned</code>
(<code>long</code>) parameters, <var>Value1</var> and <var>Value2</var>,
at compile-time. Each template has a single static data member,
<code>value</code>, which is set to the respective minimum or maximum
of the template's parameters.</p>
<h2><a name="example">Example</a></h2>
<blockquote><pre>
#include &lt;boost/integer/static_min_max.hpp&gt;
template &lt; unsigned long AddendSize1, unsigned long AddendSize2 &gt;
class adder
{
public:
static unsigned long const addend1_size = AddendSize1;
static unsigned long const addend2_size = AddendSize2;
static unsigned long const sum_size = boost::static_unsigned_max&lt;AddendSize1, AddendSize2&gt;::value + 1;
typedef int addend1_type[ addend1_size ];
typedef int addend2_type[ addend2_size ];
typedef int sum_type[ sum_size ];
void operator ()( addend1_type const &amp;a1, addend2_type const &amp;a2, sum_type &amp;s ) const;
};
//...
int main()
{
int const a1[] = { 0, 4, 3 }; // 340
int const a2[] = { 9, 8 }; // 89
int s[ 4 ];
adder&lt;3,2&gt; obj;
obj( a1, a2, s ); // 's' should be 429 or { 9, 2, 4, 0 }
//...
}
</pre></blockquote>
<h2><a name="demo">Demonstration Program</a></h2>
<p>The program <a
href="../test/static_min_max_test.cpp">static_min_max_test.cpp</a> is a
simplistic demonstration of various comparisons using the compile-time
extrema class templates.</p>
<h2><a name="rationale">Rationale</a></h2>
<p>Sometimes the minimum or maximum of several values needs to be found
for later compile-time processing, <i>e.g.</i> for a bound for another
class template.</p>
<h2><a name="credits">Credits</a></h2>
<p>The author of the Boost compile-time extrema class templates is <a
href="http://www.boost.org/people/daryle_walker.html">Daryle Walker</a>.</p>
<hr>
<p>Revised October 12, 2001</p>
<p>&copy; Copyright Daryle Walker 2001. Use, modification, and distribution are
subject to the Boost Software License, Version 1.0. (See accompanying file <a
href="../../../LICENSE_1_0.txt">LICENSE_1_0.txt</a> or a copy at &lt;<a
href="http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>&gt;.)</p>
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</html>

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@ -17,7 +17,7 @@
#include <boost/integer_fwd.hpp> // self include
#include <boost/integer_traits.hpp> // for ::boost::integer_traits
#include <boost/integer_traits.hpp> // for boost::::boost::integer_traits
#include <boost/limits.hpp> // for ::std::numeric_limits
#include <boost/cstdint.hpp> // for boost::int64_t and BOOST_NO_INTEGRAL_INT64_T

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@ -16,7 +16,7 @@
#ifndef BOOST_INTEGER_STATIC_LOG2_HPP
#define BOOST_INTEGER_STATIC_LOG2_HPP
#include "boost/config.hpp" // for BOOST_STATIC_CONSTANT
#include "boost/integer_fwd.hpp" // for boost::intmax_t
namespace boost {
@ -41,9 +41,8 @@ namespace boost {
// terminates with x = 1 and n = 0 (see the algorithm's
// invariant).
typedef unsigned long argument_type;
typedef int result_type;
typedef boost::static_log2_argument_type argument_type;
typedef boost::static_log2_result_type result_type;
template <result_type n>
struct choose_initial_n {
@ -107,10 +106,6 @@ namespace boost {
// static_log2<x>
// ----------------------------------------
typedef detail::static_log2_impl::argument_type static_log2_argument_type;
typedef detail::static_log2_impl::result_type static_log2_result_type;
template <static_log2_argument_type x>
struct static_log2 {

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@ -12,39 +12,35 @@
#include <boost/integer_fwd.hpp> // self include
#include <boost/config.hpp> // for BOOST_STATIC_CONSTANT
namespace boost
{
// Compile-time extrema class declarations ---------------------------------//
// Get the minimum or maximum of two values, signed or unsigned.
template < long Value1, long Value2 >
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
struct static_signed_min
{
BOOST_STATIC_CONSTANT( long, value = (Value1 > Value2) ? Value2 : Value1 );
BOOST_STATIC_CONSTANT(static_min_max_signed_type, value = (Value1 > Value2) ? Value2 : Value1 );
};
template < long Value1, long Value2 >
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
struct static_signed_max
{
BOOST_STATIC_CONSTANT( long, value = (Value1 < Value2) ? Value2 : Value1 );
BOOST_STATIC_CONSTANT(static_min_max_signed_type, value = (Value1 < Value2) ? Value2 : Value1 );
};
template < unsigned long Value1, unsigned long Value2 >
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_min
{
BOOST_STATIC_CONSTANT( unsigned long, value
BOOST_STATIC_CONSTANT(static_min_max_unsigned_type, value
= (Value1 > Value2) ? Value2 : Value1 );
};
template < unsigned long Value1, unsigned long Value2 >
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_max
{
BOOST_STATIC_CONSTANT( unsigned long, value
BOOST_STATIC_CONSTANT(static_min_max_unsigned_type, value
= (Value1 < Value2) ? Value2 : Value1 );
};

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@ -14,11 +14,23 @@
#include <boost/config.hpp> // for BOOST_NO_INTRINSIC_WCHAR_T
#include <boost/limits.hpp> // for std::numeric_limits
#include <boost/cstdint.hpp> // For intmax_t
namespace boost
{
#ifdef BOOST_NO_INTEGRAL_INT64_T
typedef unsigned long static_log2_argument_type;
typedef int static_log2_result_type;
typedef long static_min_max_signed_type;
typedef unsigned long static_min_max_unsigned_type;
#else
typedef boost::uintmax_t static_min_max_unsigned_type;
typedef boost::intmax_t static_min_max_signed_type;
typedef boost::uintmax_t static_log2_argument_type;
typedef int static_log2_result_type;
#endif
// From <boost/cstdint.hpp> ------------------------------------------------//
@ -136,28 +148,26 @@ template < >
// From <boost/integer/static_log2.hpp> ------------------------------------//
template < unsigned long Value >
template <static_log2_argument_type Value >
struct static_log2;
template < >
struct static_log2< 0ul >;
template <> struct static_log2<0u>;
// From <boost/integer/static_min_max.hpp> ---------------------------------//
template < long Value1, long Value2 >
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
struct static_signed_min;
template < long Value1, long Value2 >
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
struct static_signed_max;
template < unsigned long Value1, unsigned long Value2 >
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_min;
template < unsigned long Value1, unsigned long Value2 >
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_max;
} // namespace boost

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@ -1,148 +1,16 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
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<head>
<title>Boost Integer Library</title>
<meta http-equiv="refresh" content="0; URL=doc/html/index.html">
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<table border="1" bgcolor="teal" cellpadding="2">
<tr>
<td bgcolor="white"><img src="../../boost.png" alt="boost.png (6897 bytes)" width="277" height="86"></td>
<td><a href="../../index.htm"><font face="Arial" color="white"><big>Home</big></font></a></td>
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<h1>Boost Integer Library</h1>
<table border="1" cellpadding="5">
<tr>
<th>Header / Docs</th>
<th>Contents</th>
<th>Use</th>
</tr>
<tr>
<td align="center"><cite><a href="../../boost/integer_fwd.hpp">&lt;boost/integer_fwd.hpp&gt;</a></cite></td>
<td valign="top">Forward declarations of classes and class templates</td>
<td valign="top">When just the name of a class is needed</td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/cstdint.hpp">&lt;boost/cstdint.hpp&gt;<br>
</a></code><a href="cstdint.htm"><br>
documentation</a>
</td>
<td valign="top">Typedef's based on the 1999 C Standard header &lt;<code>stdint.h&gt;</code>, wrapped in namespace boost.
This implementation may #include the compiler
supplied &lt;<code>stdint.h&gt;</code>, if present. </td>
<td valign="top">Supplies typedefs for standard integer types such as <code> int32_t</code> or <code>uint_least16_t</code>.
Use in preference to &lt;<code>stdint.h&gt;</code>
for enhanced portability. Furthermore, all names are safely placed in the boost namespace.</td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/integer_traits.hpp">&lt;boost/integer_traits.hpp&gt;</a></code><br>
<br>
<a href="integer_traits.html">documentation</a>
</td>
<td valign="top">Template class <code>boost::integer_traits</code>, derived from <code>std::numeric_limits</code>.&nbsp;
Adds <code>const_min</code> and <code>const_max</code> members.</td>
<td valign="top">Use to obtain the characteristics of a known integer type.</td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/integer.hpp">&lt;boost/integer.hpp&gt;</a><br>
<br>
</code><a href="integer.htm">documentation</a></td>
<td valign="top">Templates for integer type selection based on properties such as
maximum value or number of bits.</td>
<td valign="top">Use to select the type an integer when some property such as maximum value or number of bits is known.
Useful for generic programming. </td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/integer/integer_mask.hpp">&lt;boost/integer/integer_mask.hpp&gt;</a><br>
<br>
</code><a href="doc/integer_mask.html">documentation</a></td>
<td valign="top">Templates for the selection of integer masks, single or lowest group, based on the number of bits.</td>
<td valign="top">Use to select a particular mask when the bit position(s) are based on a compile-time variable.
Useful for generic programming. </td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/integer/static_log2.hpp">&lt;boost/integer/static_log2.hpp&gt;</a><br>
<br>
</code><a href="doc/static_log2.html">documentation</a></td>
<td valign="top">Template for finding the highest power of two in a number.</td>
<td valign="top">Use to find the bit-size/range based on a maximum value.
Useful for generic programming. </td>
</tr>
<tr>
<td align="center"><code><a href="../../boost/integer/static_min_max.hpp">&lt;boost/integer/static_min_max.hpp&gt;</a><br>
<br>
</code><a href="doc/static_min_max.html">documentation</a></td>
<td valign="top">Templates for finding the extrema of two numbers.</td>
<td valign="top">Use to find a bound based on a minimum or maximum value.
Useful for generic programming. </td>
</tr>
</table>
<h2>Rationale</h2>
<p>The organization of boost integer headers and classes is designed to
take advantage of <cite>&lt;stdint.h&gt;</cite> types from the 1999 C
standard without resorting to undefined behavior in terms of the 1998
C++ standard. The header <cite>&lt;boost/cstdint.hpp&gt;</cite> makes
the standard integer types safely available in namespace
<code>boost</code> without placing any names in namespace
<code>std</code>. As always, the intension is to complement rather than
compete with the C++ Standard Library. Should some future C++ standard
include <cite>&lt;stdint.h&gt;</cite> and <cite>&lt;cstdint&gt;</cite>,
then <cite>&lt;boost/cstdint.hpp&gt;</cite> will continue to function,
but will become redundant and may be safely deprecated.</p>
<p>Because these are boost headers, their names conform to boost header
naming conventions rather than C++ Standard Library header naming
conventions.</p>
<h2><i>Caveat emptor</i></h2>
<p>As an implementation artifact, certain C
<cite>&lt;limits.h&gt;</cite> macro names may possibly be visible to
users of <cite>&lt;boost/cstdint.hpp&gt;</cite>. Don't use these
macros; they are not part of any Boost-specified interface. Use
<code>boost::integer_traits&lt;&gt;</code> or
<code>std::numeric_limits&lt;&gt;</code> instead.</p>
<p>As another implementation artifact, certain C
<cite>&lt;stdint.h&gt;</cite> typedef names may possibly be visible in
the global namespace to users of <cite>&lt;boost/cstdint.hpp&gt;</cite>.
Don't use these names, they are not part of any Boost-specified
interface. Use the respective names in namespace <code>boost</code>
instead.</p>
<h2>
<i>History</i>
</h2>
<p>
Reverted Trunk to release branch state (i.e. a "known good state"), Nov 2009. Then fixed issues:
<a href="https://svn.boost.org/trac/boost/ticket/653">653</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3084">3084</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3177">3177</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3180">3180</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3548">3568</a>,
<a href="https://svn.boost.org/trac/boost/ticket/3657">3657</a>,
<a href="https://svn.boost.org/trac/boost/ticket/2134">2134</a>,
</p>
<hr>
<p>Revised: <!--webbot bot="Timestamp" S-Type="EDITED" S-Format="%d %b %Y" startspan -->06 Nov 2007<!--webbot bot="Timestamp" endspan i-checksum="15272" -->
</p>
<p>© Copyright Beman Dawes 2003</p>
<p>Distributed under the Boost Software License, Version 1.0. See
<a href="http://www.boost.org/LICENSE_1_0.txt">www.boost.org/LICENSE_1_0.txt</a></p>
<body>
Automatic redirection failed, please go to
<a href="doc/html/index.html">doc/html/index.html</a>.
<P>Copyright Beman Dawes, Daryle Walker, Gennaro Prota and John Maddock 2001-2009</P>
<P>Distributed under the Boost Software License, Version 1.0. (See accompanying file <A href="../../LICENSE_1_0.txt">
LICENSE_1_0.txt</A> or copy at <A href="http://www.boost.org/LICENSE_1_0.txt">www.boost.org/LICENSE_1_0.txt</A>).</P>
</body>
</html>
</html>

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@ -1,212 +0,0 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<html>
<head>
<title>Integer Type Selection Templates</title>
</head>
<body bgcolor="white" text="black">
<h1>
<img src="../../boost.png" alt="boost.png (6897 bytes)"
align="middle" width="277" height="86">Integer Type Selection
Templates</h1>
<p>The <cite><a
href="../../boost/integer.hpp">&lt;boost/integer.hpp&gt;</a></cite> type
selection templates allow integer types to be selected based on desired
characteristics such as number of bits or maximum value. This facility
is particularly 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="#easy">Easiest-to-Manipulate Types</a></li>
<li><a href="#sized">Sized Types</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="#alternative">Alternative</a></li>
<li><a href="#credits">Credits</a></li>
</ul>
<h2><a name="synopsis">Synopsis</a></h2>
<blockquote><pre>namespace boost
{
// fast integers from least integers
template&lt; typename LeastInt &gt;
struct int_fast_t
{
typedef <em>implementation_supplied</em> fast;
};
// signed
template&lt; int Bits &gt;
struct int_t
{
typedef <em>implementation_supplied</em> least;
typedef int_fast_t&lt;least&gt;::fast fast;
};
// unsigned
template&lt; int Bits &gt;
struct uint_t
{
typedef <em>implementation_supplied</em> least;
typedef int_fast_t&lt;least&gt;::fast fast;
};
// signed
template&lt; long long MaxValue &gt;
struct int_max_value_t
{
typedef <em>implementation_supplied</em> least;
typedef int_fast_t&lt;least&gt;::fast fast;
};
template&lt; long long MinValue &gt;
struct int_min_value_t
{
typedef <em>implementation_supplied</em> least;
typedef int_fast_t&lt;least&gt;::fast fast;
};
// unsigned
template&lt; unsigned long long Value &gt;
struct uint_value_t
{
typedef <em>implementation_supplied</em> least;
typedef int_fast_t&lt;least&gt;::fast fast;
};
} // namespace boost
</pre></blockquote>
<h2><a name="easy">Easiest-to-Manipulate Types</a></h2>
<p>The <code>int_fast_t</code> class template maps its input type to the
next-largest type that the processor can manipulate the easiest, or to
itself if the input type is already an easy-to-manipulate type. For
instance, processing a bunch of <code>char</code> objects may go faster
if they were converted to <code>int</code> objects before processing.
The input type, passed as the only template parameter, must be a
built-in integral type, except <code>bool</code>. Unsigned integral
types can be used, as well as signed integral types, despite the name.
The output type is given as the class member <code>fast</code>.</p>
<p><strong>Implementation Notes</strong><br>
By default, the output type is identical to the input type. Eventually,
this code's implementation should be conditionalized for each platform
to give accurate mappings between the built-in types and the
easiest-to-manipulate built-in types. Also, there is no guarantee that
the output type actually is easier to manipulate than the input
type.</p>
<h2><a name="sized">Sized Types</a></h2>
<p>The <code>int_t</code>, <code>uint_t</code>,
<code>int_max_value_t</code>, <code>int_min_value_t</code>, and
<code>uint_value_t</code> class templates find the most appropiate
built-in integral type for the given template parameter. This type is
given by the class member <code>least</code>. The easiest-to-manipulate
version of that type is given by the class member <code>fast</code>.
The following table describes each template's criteria.</p>
<table border="1" cellpadding="5">
<caption>Criteria for the Sized Type Class Templates</caption>
<tr>
<th>Class Template</th>
<th>Template Parameter Mapping</th>
</tr>
<tr>
<td><code>boost::int_t</code></td>
<td>The smallest built-in signed integral type with at least the
given number of bits, including the sign bit. The parameter
should be a positive number. A compile-time error results if
the parameter is larger than the number of bits in a
<code>long</code>.</td>
</tr>
<tr>
<td><code>boost::uint_t</code></td>
<td>The smallest built-in unsigned integral type with at least
the given number of bits. The parameter should be a positive
number. A compile-time error results if the parameter is
larger than the number of bits in an <code>unsigned
long</code>.</td>
</tr>
<tr>
<td><code>boost::int_max_value_t</code></td>
<td>The smallest built-in signed integral type that supports the
given value as a maximum. The parameter should be a
positive number.</td>
</tr>
<tr>
<td><code>boost::int_min_value_t</code></td>
<td>The smallest built-in signed integral type that supports the
given value as a minimum. The parameter should be a
negative number.</td>
</tr>
<tr>
<td><code>boost::uint_value_t</code></td>
<td>The smallest built-in unsigned integral type that supports
the given value as a maximum. The parameter should be a
positive number.</td>
</tr>
</table>
<h2><a name="example">Example</a></h2>
<blockquote><pre>#include &lt;boost/integer.hpp&gt;
//...
int main()
{
boost::int_t&lt;24&gt;::least my_var;
//...
}
</pre></blockquote>
<h2><a name="demo">Demonstration Program</a></h2>
<p>The program <a href="integer_test.cpp">integer_test.cpp</a> is a
simplistic demonstration of the results from instantiating various
examples of the sized type class templates.</p>
<h2><a name="rationale">Rationale</a></h2>
<p>The rationale for the design of the templates in this header includes:</p>
<ul>
<li>Avoid recursion because of concern about C++'s limited
guaranteed recursion depth (17).</li>
<li>Avoid macros on general principles.</li>
<li>Try to keep the design as simple as possible.</li>
</ul>
<h2><a name="alternative">Alternative</a></h2>
<p>If the number of bits required is known beforehand, it may be more
appropriate to use the types supplied in <cite><a
href="../../boost/cstdint.hpp">&lt;boost/cstdint.hpp&gt;</a></cite>.</p>
<h2><a name="credits">Credits</a></h2>
<p>The author of most of the Boost integer type choosing templates is <a
href="http://www.boost.org/people/beman_dawes.html">Beman Dawes</a>. He gives thanks
to Valentin Bonnard and
<a href="http://www.boost.org/people/kevlin_henney.htm"> Kevlin Henney</a> for sharing
their designs for similar templates. <a
href="http://www.boost.org/people/daryle_walker.html">Daryle Walker</a> designed the
value-based sized templates.</p>
<hr>
<p>Revised May 20, 2001</p>
<p>&copy; Copyright Beman Dawes 1999. Use, modification, and distribution are
subject to the Boost Software License, Version 1.0. (See accompanying file <a
href="../../LICENSE_1_0.txt">LICENSE_1_0.txt</a> or a copy at &lt;<a
href="http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>&gt;.)</p>
</body>
</html>

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@ -1,94 +0,0 @@
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<title>integer_traits: Compile-Time Limits for Integral Types</title>
</head>
<body bgcolor="#FFFFFF" text="#000000">
<h1><img src="../../boost.png" alt="boost.png (6897 bytes)" align="center" width="277" height="86">Compile-Time Integral
Type Limits</h1>
<p>
The C++ Standard Library &lt;limits&gt; header supplies a class template
numeric_limits&lt;&gt; with specializations for each fundamental
type.</p>
<p>
For integer types, the interesting members of std::numeric_limits&lt;&gt; are:
<pre> static const bool is_specialized; // will be true for integers
static T min() throw();
static T max() throw();
static const int digits; // for integers, # value bits
static const int digits10;
static const bool is_signed;
static const bool is_integer; // will be true for integers</pre>
For many uses, these are sufficient. But min() and max() are problematical because they are not constant expressions
(std::5.19), yet some usages require constant expressions.
<p>
The template class <code>integer_traits</code> addresses this
problem.
<h2>Header <code><a href="../../boost/integer_traits.hpp">integer_traits.hpp</a></code> Synopsis</h2>
<pre>namespace boost {
template&lt;class T&gt;
class integer_traits : public std::numeric_limits&lt;T&gt;
{
static const bool is_integral = false;
};
// specializations for all integral types
}</pre>
<h2>Description</h2>
Template class <code>integer_traits</code> is derived from
<code>std::numeric_limits</code>. In general, it adds the single
<code>bool</code> member <code>is_integral</code> with the
compile-time constant value <code>false</code>. However, for all
integral types <code>T</code> (std::3.9.1/7 [basic.fundamental]),
there are specializations provided with the following compile-time
constants defined:
<p>
<table border=1>
<tr><th>member</th><th>type</th><th>value</th></tr>
<tr><td><code>is_integral</code></td><td>bool</td><td><code>true</code></td></tr>
<tr><td><code>const_min</code></td><td><code>T</code></td><td>equivalent
to <code>std::numeric_limits&lt;T&gt;::min()</code></td></tr>
<tr><td><code>const_max</code></td><td><code>T</code></td><td>equivalent
to <code>std::numeric_limits&lt;T&gt;::max()</code></td></tr>
</table>
<p>
<em>Note:</em> A flag <code>is_integral</code> is provided, because a
user-defined integer class should specialize
<code>std::numeric_limits&lt;&gt;::is_integer = true</code>,
nonetheless compile-time constants <code>const_min</code> and
<code>const_max</code> cannot be provided for that user-defined class.
<h2>
Test Program</h2>
<p>
The program <code><a href="integer_traits_test.cpp">integer_traits_test.cpp</a></code>
exercises the <code>integer_traits</code> class.
<h2>Acknowledgements</h2>
Beman Dawes, Ed Brey, Steve Cleary, and Nathan Myers discussed the integer
traits idea on the boost mailing list in August 1999.
<hr>
<p>Revised
<!--webbot bot="Timestamp" S-Type="EDITED" S-Format="%d %B %Y" startspan -->06 November 2007<!--webbot bot="Timestamp" endspan i-checksum="40336" --></p>
<p>© Copyright Beman Dawes 2000</p>
<p>Distributed under the Boost Software License, Version 1.0. See
<a href="http://www.boost.org/LICENSE_1_0.txt">www.boost.org/LICENSE_1_0.txt</a></p>