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<a name="Properties-of-complex-numbers"></a>
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<p>
Next: <a href="Complex-arithmetic-operators.html#Complex-arithmetic-operators" accesskey="n" rel="next">Complex arithmetic operators</a>, Previous: <a href="Representation-of-complex-numbers.html#Representation-of-complex-numbers" accesskey="p" rel="previous">Representation of complex numbers</a>, Up: <a href="Complex-Numbers.html#Complex-Numbers" accesskey="u" rel="up">Complex Numbers</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Properties-of-complex-numbers-1"></a>
<h3 class="section">5.2 Properties of complex numbers</h3>

<dl>
<dt><a name="index-gsl_005fcomplex_005farg"></a>Function: <em>double</em> <strong>gsl_complex_arg</strong> <em>(gsl_complex <var>z</var>)</em></dt>
<dd><a name="index-argument-of-complex-number"></a>
<p>This function returns the argument of the complex number <var>z</var>,
<em>\arg(z)</em>, where <em>-\pi &lt; \arg(z) &lt;= \pi</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcomplex_005fabs"></a>Function: <em>double</em> <strong>gsl_complex_abs</strong> <em>(gsl_complex <var>z</var>)</em></dt>
<dd><a name="index-magnitude-of-complex-number"></a>
<p>This function returns the magnitude of the complex number <var>z</var>, <em>|z|</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcomplex_005fabs2"></a>Function: <em>double</em> <strong>gsl_complex_abs2</strong> <em>(gsl_complex <var>z</var>)</em></dt>
<dd><p>This function returns the squared magnitude of the complex number
<var>z</var>, <em>|z|^2</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcomplex_005flogabs"></a>Function: <em>double</em> <strong>gsl_complex_logabs</strong> <em>(gsl_complex <var>z</var>)</em></dt>
<dd><p>This function returns the natural logarithm of the magnitude of the
complex number <var>z</var>, <em>\log|z|</em>.  It allows an accurate
evaluation of <em>\log|z|</em> when <em>|z|</em> is close to one. The direct
evaluation of <code>log(gsl_complex_abs(z))</code> would lead to a loss of
precision in this case.
</p></dd></dl>





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