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<a name="Comparison-functions-for-poly_005fint"></a>
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<p>
Next: <a href="Properties-of-the-poly_005fint-comparisons.html#Properties-of-the-poly_005fint-comparisons" accesskey="n" rel="next">Properties of the <code>poly_int</code> comparisons</a>, Up: <a href="Comparisons-involving-poly_005fint.html#Comparisons-involving-poly_005fint" accesskey="u" rel="up">Comparisons involving <code>poly_int</code></a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Comparison-functions-for-poly_005fint-1"></a>
<h4 class="subsection">10.3.1 Comparison functions for <code>poly_int</code></h4>

<p><code>poly_int</code> provides the following routines for checking whether
a particular condition &ldquo;may be&rdquo; (might be) true:
</p>
<div class="example">
<pre class="example">maybe_lt maybe_le maybe_eq maybe_ge maybe_gt
                  maybe_ne
</pre></div>

<p>The functions have their natural meaning:
</p>
<dl compact="compact">
<dt>&lsquo;<samp>maybe_lt(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might be less than <var>b</var>.
</p>
</dd>
<dt>&lsquo;<samp>maybe_le(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might be less than or equal to <var>b</var>.
</p>
</dd>
<dt>&lsquo;<samp>maybe_eq(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might be equal to <var>b</var>.
</p>
</dd>
<dt>&lsquo;<samp>maybe_ne(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might not be equal to <var>b</var>.
</p>
</dd>
<dt>&lsquo;<samp>maybe_ge(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might be greater than or equal to <var>b</var>.
</p>
</dd>
<dt>&lsquo;<samp>maybe_gt(<var>a</var>, <var>b</var>)</samp>&rsquo;</dt>
<dd><p>Return true if <var>a</var> might be greater than <var>b</var>.
</p></dd>
</dl>

<p>For readability, <code>poly_int</code> also provides &ldquo;known&rdquo; inverses of these
functions:
</p>
<div class="example">
<pre class="example">known_lt (<var>a</var>, <var>b</var>) == !maybe_ge (<var>a</var>, <var>b</var>)
known_le (<var>a</var>, <var>b</var>) == !maybe_gt (<var>a</var>, <var>b</var>)
known_eq (<var>a</var>, <var>b</var>) == !maybe_ne (<var>a</var>, <var>b</var>)
known_ge (<var>a</var>, <var>b</var>) == !maybe_lt (<var>a</var>, <var>b</var>)
known_gt (<var>a</var>, <var>b</var>) == !maybe_le (<var>a</var>, <var>b</var>)
known_ne (<var>a</var>, <var>b</var>) == !maybe_eq (<var>a</var>, <var>b</var>)
</pre></div>


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