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<html><head>
<title>Remainder and Modulus</title>
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<a href="../../start.htm">Nyquist / XLISP 2.0</a> -
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<hr>
<h1>Remainder and Modulus</h1>
<hr>
<p>The <a href="mod.htm">cl:mod</a> and <a href="rem.htm">cl:rem</a>
function are generalizations of the modulus and remainder functions.</p>
<ul>
<li><p><nobr>The <a href="mod.htm">cl:mod</a></nobr> function performs the
<a href="floor.htm">cl:floor</a> operation on its arguments and returns the
remainder of the <a href="floor.htm">cl:floor</a> operation.</p></li>
<li><p><nobr>The <a href="rem.htm">cl:rem</a></nobr> function performs the
<a href="truncate.htm">cl:truncate</a> operation on its arguments and returns
the remainder of the <a href="truncate.htm">cl:truncate</a> operation.</p></li>
</ul>
<p><nobr>The <a href="mod.htm">cl:mod</a></nobr> and
<a href="rem.htm">cl:rem</a> functions are the modulus and remainder
functions when the 'number' and 'divisor' arguments both are integers.</p>
<pre class="example">
(mod 13 4) => 1 (rem 13 4) => 1
(mod -13 4) => 3 (rem -13 4) => -1
(mod 13 -4) => -3 (rem 13 -4) => 1
(mod -13 -4) => -1 (rem -13 -4) => -1
(mod 13.4 1) => 0.4 (rem 13.4 1) => 0.4
(mod -13.4 1) => 0.6 (rem -13.4 1) => -0.4
</pre>
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