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Next: <a rel="next" accesskey="n" href="Complex-arithmetic-operators.html">Complex arithmetic operators</a>,
Previous: <a rel="previous" accesskey="p" href="Representation-of-complex-numbers.html">Representation of complex numbers</a>,
Up: <a rel="up" accesskey="u" href="Complex-Numbers.html">Complex Numbers</a>
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<h3 class="section">5.2 Properties of complex numbers</h3>
<div class="defun">
— Function: double <b>gsl_complex_arg</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005farg-154"></a></var><br>
<blockquote><p><a name="index-argument-of-complex-number-155"></a>This function returns the argument of the complex number <var>z</var>,
\arg(z), where <!-- {$-\pi < \arg(z) \leq \pi$} -->
-\pi < \arg(z) <= \pi.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_complex_abs</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fabs-156"></a></var><br>
<blockquote><p><a name="index-magnitude-of-complex-number-157"></a>This function returns the magnitude of the complex number <var>z</var>, |z|.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_complex_abs2</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fabs2-158"></a></var><br>
<blockquote><p>This function returns the squared magnitude of the complex number
<var>z</var>, |z|^2.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_complex_logabs</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005flogabs-159"></a></var><br>
<blockquote><p>This function returns the natural logarithm of the magnitude of the
complex number <var>z</var>, \log|z|. It allows an accurate
evaluation of \log|z| when |z| 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></blockquote></div>
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