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<head><title>ROUND.html -- ACL2 Version 3.1</title></head>
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<h2>ROUND</h2>division returning an integer by rounding off
<pre>Major Section: <a href="PROGRAMMING.html">PROGRAMMING</a>
</pre><p>
<pre>
Example Forms:
ACL2 !>(round 14 3)
5
ACL2 !>(round -14 3)
-5
ACL2 !>(round 14 -3)
-5
ACL2 !>(round -14 -3)
5
ACL2 !>(round 13 3)
4
ACL2 !>(round -13 3)
-4
ACL2 !>(round 13 -3)
-4
ACL2 !>(round -13 -3)
4
ACL2 !>(round -15 -3)
5
ACL2 !>(round 15 -2)
-8
</pre>
<code>(Round i j)</code> is the result of taking the quotient of <code>i</code> and <code>j</code>
and rounding off to the nearest integer. When the quotient is
exactly halfway between consecutive integers, it rounds to the even
one.
<p>
The <a href="GUARD.html">guard</a> for <code>(round i j)</code> requires that <code>i</code> and <code>j</code> are
rational (<a href="REAL.html">real</a>, in ACL2(r)) numbers and <code>j</code> is non-zero.<p>
<code>Round</code> is a Common Lisp function. See any Common Lisp documentation for
more information. However, note that unlike Common Lisp, the ACL2 <code>round</code>
function returns only a single value,
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