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<head><title>CEILING.html -- ACL2 Version 3.1</title></head>
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<h2>CEILING</h2>division returning an integer by truncating toward positive infinity
<pre>Major Section: <a href="PROGRAMMING.html">PROGRAMMING</a>
</pre><p>
<pre>
Example Forms:
ACL2 !>(ceiling 14 3)
5
ACL2 !>(ceiling -14 3)
-4
ACL2 !>(ceiling 14 -3)
-4
ACL2 !>(ceiling -14 -3)
5
ACL2 !>(ceiling -15 -3)
5
</pre>
<code>(Ceiling i j)</code> is the result of taking the quotient of <code>i</code> and
<code>j</code> and returning the smallest integer that is at least as great as
that quotient. For example, the quotient of <code>-14</code> by <code>3</code> is <code>-4 2/3</code>, and
the smallest integer at least that great is <code>-4</code>.
<p>
The <a href="GUARD.html">guard</a> for <code>(ceiling 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>Ceiling</code> is a Common Lisp function. See any Common Lisp documentation for
more information. However, note that unlike Common Lisp, the ACL2
<code>ceiling</code> function returns only a single value,
<br><br><br><a href="acl2-doc.html"><img src="llogo.gif"></a> <a href="acl2-doc-index.html"><img src="index.gif"></a>
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