File: MOD.html

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<html>
<head><title>MOD.html  --  ACL2 Version 3.1</title></head>
<body text=#000000 bgcolor="#FFFFFF">
<h2>MOD</h2>remainder using <code><a href="FLOOR.html">floor</a></code>
<pre>Major Section:  <a href="PROGRAMMING.html">PROGRAMMING</a>
</pre><p>


<pre>
ACL2 !&gt;(mod 14 3)
2
ACL2 !&gt;(mod -14 3)
1
ACL2 !&gt;(mod 14 -3)
-1
ACL2 !&gt;(mod -14 -3)
-2
ACL2 !&gt;(mod -15 -3)
0
ACL2 !&gt;
</pre>

<code>(Mod i j)</code> is that number <code>k</code> that <code>(* j (floor i j))</code> added to
<code>k</code> equals <code>i</code>.
<p>
The <a href="GUARD.html">guard</a> for <code>(mod 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>Mod</code> is a Common Lisp function.  See any Common Lisp documentation
for more information.
<br><br><br><a href="acl2-doc.html"><img src="llogo.gif"></a> <a href="acl2-doc-index.html"><img src="index.gif"></a>
</body>
</html>