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<a name="Miscellaneous-Mathematics"></a>
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Next: <a href="Trigonometry.html#Trigonometry" accesskey="n" rel="next">Trigonometry</a>, Previous: <a href="Mathematics.html#Mathematics" accesskey="p" rel="prev">Mathematics</a>, Up: <a href="Functions.html#Functions" accesskey="u" rel="up">Functions</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Miscellaneous-Mathematical-Functions"></a>
<h4 class="subsection">7.7.2 Miscellaneous Mathematical Functions</h4>
<a name="index-mathematics_002c-miscellaneous"></a>
<p>Miscellaneous mathematical functions take numeric arguments and produce
numeric results.
</p>
<a name="index-absolute-value"></a>
<dl>
<dt><a name="index-ABS"></a>Function: <em></em> <strong>ABS</strong> <em>(<var>number</var>)</em></dt>
<dd><p>Results in the absolute value of <var>number</var>.
</p></dd></dl>
<a name="index-modulus"></a>
<dl>
<dt><a name="index-MOD"></a>Function: <em></em> <strong>MOD</strong> <em>(<var>numerator</var>, <var>denominator</var>)</em></dt>
<dd><p>Returns the remainder (modulus) of <var>numerator</var> divided by
<var>denominator</var>. If <var>numerator</var> is 0, then the result is 0,
even if <var>denominator</var> is missing. If <var>denominator</var> is 0, the
result is system-missing.
</p></dd></dl>
<a name="index-modulus_002c-by-10"></a>
<dl>
<dt><a name="index-MOD10"></a>Function: <em></em> <strong>MOD10</strong> <em>(<var>number</var>)</em></dt>
<dd><p>Returns the remainder when <var>number</var> is divided by 10. If
<var>number</var> is negative, MOD10(<var>number</var>) is negative or zero.
</p></dd></dl>
<a name="index-rounding"></a>
<dl>
<dt><a name="index-RND"></a>Function: <em></em> <strong>RND</strong> <em>(<var>number</var> [, <var>mult</var>[, <var>fuzzbits</var>]])</em></dt>
<dd><p>Rounds <var>number</var> and rounds it to a multiple of <var>mult</var> (by
default 1). Halves are rounded away from zero, as are values that
fall short of halves by less than <var>fuzzbits</var> of errors in the
least-significant bits of <var>number</var>. If <var>fuzzbits</var> is not
specified then the default is taken from SET FUZZBITS (see <a href="SET.html#SET-FUZZBITS">SET FUZZBITS</a>), which is 6 unless overridden.
</p></dd></dl>
<a name="index-truncation"></a>
<dl>
<dt><a name="index-TRUNC"></a>Function: <em></em> <strong>TRUNC</strong> <em>(<var>number</var> [, <var>mult</var>[, <var>fuzzbits</var>]])</em></dt>
<dd><p>Rounds <var>number</var> to a multiple of <var>mult</var>, toward zero. For the
default <var>mult</var> of 1, this is equivalent to discarding the
fractional part of <var>number</var>. Values that fall short of a multiple
of <var>mult</var> by less than <var>fuzzbits</var> of errors in the
least-significant bits of <var>number</var> are rounded away from zero. If
<var>fuzzbits</var> is not specified then the default is taken from SET
FUZZBITS (see <a href="SET.html#SET-FUZZBITS">SET FUZZBITS</a>), which is 6 unless overridden.
</p></dd></dl>
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