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<a name="Package-absimp-1"></a>
<h3 class="section">67.2 Package absimp</h3>
<p>The <code>absimp</code> package contains pattern-matching rules that
extend the built-in simplification rules for the <code>abs</code> and <code>signum</code>
functions.
<code>absimp</code> respects relations
established with the built-in <code>assume</code> function and by declarations such
as <code>mode_declare (m, even, n, odd)</code> for even or odd integers.
</p>
<p><code>absimp</code> defines <code>unitramp</code> and <code>unitstep</code> functions
in terms of <code>abs</code> and <code>signum</code>.
</p>
<p><code>load ("absimp")</code> loads this package.
<code>demo ("absimp")</code> shows a demonstration of this package.
</p>
<p>Examples:
</p>
<div class="example">
<pre class="example">(%i1) load ("absimp")$
</pre><pre class="example">(%i2) (abs (x))^2;
2
(%o2) x
</pre><pre class="example">(%i3) diff (abs (x), x);
x
(%o3) ------
abs(x)
</pre><pre class="example">(%i4) cosh (abs (x));
(%o4) cosh(x)
</pre></div>
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