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+<table class="head">
+  <tr>
+    <td class="head-ltitle">Q_SIGNED(3)</td>
+    <td class="head-vol">Library Functions Manual</td>
+    <td class="head-rtitle">Q_SIGNED(3)</td>
+  </tr>
+</table>
+<div class="manual-text">
+<section class="Sh">
+<h1 class="Sh" id="NAME"><a class="permalink" href="#NAME">NAME</a></h1>
+<p class="Pp"><code class="Nm">Q_SIGNED</code>, <code class="Nm">Q_LTZ</code>,
+    <code class="Nm">Q_PRECEQ</code>, <code class="Nm">Q_QLTQ</code>,
+    <code class="Nm">Q_QLEQ</code>, <code class="Nm">Q_QGTQ</code>,
+    <code class="Nm">Q_QGEQ</code>, <code class="Nm">Q_QEQ</code>,
+    <code class="Nm">Q_QNEQ</code>, <code class="Nm">Q_OFLOW</code>,
+    <code class="Nm">Q_RELPREC</code> &#x2014; <span class="Nd">fixed-point math
+    comparison and logic functions</span></p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="SYNOPSIS"><a class="permalink" href="#SYNOPSIS">SYNOPSIS</a></h1>
+<p class="Pp"><code class="In">#include
+    &lt;<a class="In">sys/qmath.h</a>&gt;</code></p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_SIGNED</code>(<var class="Fa" style="white-space: nowrap;">NTYPE
+    n</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_LTZ</code>(<var class="Fa" style="white-space: nowrap;">NTYPE
+    n</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_PRECEQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QLTQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QLEQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QGTQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QGEQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QEQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_QNEQ</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+<p class="Pp"><var class="Ft">bool</var>
+  <br/>
+  <code class="Fn">Q_OFLOW</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    q</var>, <var class="Fa" style="white-space: nowrap;">ITYPE iv</var>);</p>
+<p class="Pp"><var class="Ft">int</var>
+  <br/>
+  <code class="Fn">Q_RELPREC</code>(<var class="Fa" style="white-space: nowrap;">QTYPE
+    a</var>, <var class="Fa" style="white-space: nowrap;">QTYPE b</var>);</p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="DESCRIPTION"><a class="permalink" href="#DESCRIPTION">DESCRIPTION</a></h1>
+<p class="Pp"><a class="permalink" href="#Q_SIGNED"><code class="Fn" id="Q_SIGNED">Q_SIGNED</code></a>()
+    returns <var class="Ft">true</var> if the numeric data type passed in as
+    <var class="Fa">n</var> is signed, or <var class="Ft">false</var>
+  otherwise.</p>
+<p class="Pp" id="Q_LTZ"><a class="permalink" href="#Q_LTZ"><code class="Fn">Q_LTZ</code></a>()
+    returns <var class="Ft">true</var> if the numeric value passed in as
+    <var class="Fa">n</var> is negative (requires types which use the MSB as the
+    sign bit), or <var class="Ft">false</var> otherwise.</p>
+<p class="Pp" id="Q_PRECEQ"><a class="permalink" href="#Q_PRECEQ"><code class="Fn">Q_PRECEQ</code></a>()
+    returns <var class="Ft">true</var> if the number of <var class="Fa">a</var>
+    and <var class="Fa">b</var> fractional bits is the same,
+    <var class="Ft">false</var> otherwise.</p>
+<p class="Pp" id="Q_QLTQ">The
+    <a class="permalink" href="#Q_QLTQ"><code class="Fn">Q_QLTQ</code></a>(),
+    <a class="permalink" href="#Q_QLEQ"><code class="Fn" id="Q_QLEQ">Q_QLEQ</code></a>(),
+    <a class="permalink" href="#Q_QGTQ"><code class="Fn" id="Q_QGTQ">Q_QGTQ</code></a>(),
+    <a class="permalink" href="#Q_QGEQ"><code class="Fn" id="Q_QGEQ">Q_QGEQ</code></a>(),
+    <a class="permalink" href="#Q_QEQ"><code class="Fn" id="Q_QEQ">Q_QEQ</code></a>()
+    and
+    <a class="permalink" href="#Q_QNEQ"><code class="Fn" id="Q_QNEQ">Q_QNEQ</code></a>()
+    functions compare two Q numbers, returning <var class="Ft">true</var> if
+    <var class="Fa">a</var> is less than, less than or equal to, greater than,
+    greater than or equal to, equal to, or not equal to <var class="Fa">b</var>
+    respectively, or <var class="Ft">false</var> otherwise. The integral and
+    fractional values are used to perform the comparison, without explicit
+    concern for the underlying number of integer versus fractional bits.</p>
+<p class="Pp" id="Q_OFLOW"><a class="permalink" href="#Q_OFLOW"><code class="Fn">Q_OFLOW</code></a>()
+    returns <var class="Ft">true</var> if integer value <var class="Fa">iv</var>
+    cannot be stored in <var class="Fa">q</var> without truncation, or false
+    otherwise.</p>
+<p class="Pp" id="Q_RELPREC"><a class="permalink" href="#Q_RELPREC"><code class="Fn">Q_RELPREC</code></a>()
+    returns the relative precision of <var class="Fa">a</var> versus
+    <var class="Fa">b</var>. In terms of
+    <a class="permalink" href="#Qm.n"><i class="Em" id="Qm.n">Qm.n</i></a>
+    notation, this function returns the difference between the
+    <a class="permalink" href="#n"><i class="Em" id="n">n</i></a> values of
+    <var class="Fa">a</var> and <var class="Fa">b</var>. For example, a return
+    value of +4 means that <var class="Fa">a</var> has an additional 4 bits of
+    fractional precision compared to <var class="Fa">b</var>.</p>
+<p class="Pp">All of those functions operate on the following data types:
+    <var class="Vt">s8q_t</var>, <var class="Vt">u8q_t</var>,
+    <var class="Vt">s16q_t</var>, <var class="Vt">u16q_t</var>,
+    <var class="Vt">s32q_t</var>, <var class="Vt">u32q_t</var>,
+    <var class="Vt">s64q_t</var>, and <var class="Vt">u64q_t</var>, which are
+    referred to generically as <var class="Fa">QTYPE</var>. The
+    <var class="Fa">ITYPE</var> refers to the <a class="Xr">stdint(7)</a>
+    integer types. <var class="Fa">NTYPE</var> is used to refer to any numeric
+    type and is therefore a superset of <var class="Fa">QTYPE</var> and
+    <var class="Fa">ITYPE</var>.</p>
+<p class="Pp">For more details, see <a class="Xr">qmath(3)</a>.</p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="RETURN_VALUES"><a class="permalink" href="#RETURN_VALUES">RETURN
+  VALUES</a></h1>
+<p class="Pp">The <code class="Fn">Q_SIGNED</code>(),
+    <code class="Fn">Q_LTZ</code>(), <code class="Fn">Q_PRECEQ</code>(),
+    <code class="Fn">Q_QLTQ</code>(), <code class="Fn">Q_QLEQ</code>(),
+    <code class="Fn">Q_QGTQ</code>(), <code class="Fn">Q_QGEQ</code>(),
+    <code class="Fn">Q_QEQ</code>(), <code class="Fn">Q_QNEQ</code>() and
+    <code class="Fn">Q_OFLOW</code>() functions return expressions that evaluate
+    to boolean <var class="Vt">true</var> or <var class="Vt">false</var>.</p>
+<p class="Pp"><code class="Fn">Q_RELPREC</code>() returns the relative precision
+    difference as a signed integer.</p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="SEE_ALSO"><a class="permalink" href="#SEE_ALSO">SEE
+  ALSO</a></h1>
+<p class="Pp"><a class="Xr">errno(2)</a>, <a class="Xr">qmath(3)</a>,
+    <a class="Xr">stdint(7)</a></p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="HISTORY"><a class="permalink" href="#HISTORY">HISTORY</a></h1>
+<p class="Pp">The <a class="Xr">qmath(3)</a> functions first appeared in
+    <span class="Ux">FreeBSD 13.0</span>.</p>
+</section>
+<section class="Sh">
+<h1 class="Sh" id="AUTHORS"><a class="permalink" href="#AUTHORS">AUTHORS</a></h1>
+<p class="Pp">The <a class="Xr">qmath(3)</a> functions and this manual page were
+    written by <span class="An">Lawrence Stewart</span>
+    &lt;<a class="Mt" href="mailto:lstewart@FreeBSD.org">lstewart@FreeBSD.org</a>&gt;
+    and sponsored by Netflix, Inc.</p>
+</section>
+</div>
+<table class="foot">
+  <tr>
+    <td class="foot-date">July 8, 2018</td>
+    <td class="foot-os">FreeBSD 15.0</td>
+  </tr>
+</table>