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<link title="Gsl_cdf" rel="Chapter" href="Gsl_cdf.html"><link title="Properties of complex numbers" rel="Section" href="#4_Propertiesofcomplexnumbers">
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<title>ocamlgsl 0.6.0 : Gsl_complex</title>
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<center><h1>Module <a href="type_Gsl_complex.html">Gsl_complex</a></h1></center>
<br>
<pre><span class="keyword">module</span> Gsl_complex: <code class="code">sig</code> <a href="Gsl_complex.html">..</a> <code class="code">end</code></pre>Complex arithmetic and simple functions<br>
<hr width="100%">
<pre><span class="keyword">type</span> <a name="TYPEcomplex"></a><code class="type"></code>complex = <code class="type">Complex.t</code> = {</pre><table class="typetable">
<tr>
<td align="left" valign="top" >
<code> </code></td>
<td align="left" valign="top" >
<code>re : <code class="type">float</code>;</code></td>
</tr>
<tr>
<td align="left" valign="top" >
<code> </code></td>
<td align="left" valign="top" >
<code>im : <code class="type">float</code>;</code></td>
</tr></table>
}
<pre><span class="keyword">val</span> <a name="VALcomplex"></a>complex : <code class="type">re:float -> im:float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">type</span> <a name="TYPEcomplex_array"></a><code class="type"></code>complex_array = <code class="type">float array</code> </pre>
<pre><span class="keyword">val</span> <a name="VALset"></a>set : <code class="type"><a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a> -> int -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> unit</code></pre><pre><span class="keyword">val</span> <a name="VALget"></a>get : <code class="type"><a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a> -> int -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALunpack"></a>unpack : <code class="type"><a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> array</code></pre><pre><span class="keyword">val</span> <a name="VALpack"></a>pack : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> array -> <a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a></code></pre><pre><span class="keyword">val</span> <a name="VALmult"></a>mult : <code class="type"><a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a> -> <a href="Gsl_complex.html#TYPEcomplex_array">complex_array</a> -> unit</code></pre><pre><span class="keyword">val</span> <a name="VALrect"></a>rect : <code class="type">float -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALpolar"></a>polar : <code class="type">float -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Propertiesofcomplexnumbers"></a>
<h4>Properties of complex numbers</h4><br>
<pre><span class="keyword">val</span> <a name="VALarg"></a>arg : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float</code></pre><pre><span class="keyword">val</span> <a name="VALabs"></a>abs : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float</code></pre><pre><span class="keyword">val</span> <a name="VALabs2"></a>abs2 : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float</code></pre><pre><span class="keyword">val</span> <a name="VALlogabs"></a>logabs : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float</code></pre><br>
<a name="4_Complexarithmeticoperators"></a>
<h4>Complex arithmetic operators</h4><br>
<pre><span class="keyword">val</span> <a name="VALadd"></a>add : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsub"></a>sub : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALmul"></a>mul : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALdiv"></a>div : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALadd_real"></a>add_real : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsub_real"></a>sub_real : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALmul_real"></a>mul_real : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALdiv_real"></a>div_real : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALadd_imag"></a>add_imag : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsub_imag"></a>sub_imag : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALmul_imag"></a>mul_imag : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALdiv_imag"></a>div_imag : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALconjugate"></a>conjugate : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALinverse"></a>inverse : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALnegative"></a>negative : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Elementarycomplexfunctions"></a>
<h4>Elementary complex functions</h4><br>
<pre><span class="keyword">val</span> <a name="VALsqrt"></a>sqrt : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsqrt_real"></a>sqrt_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALpow"></a>pow : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALpow_real"></a>pow_real : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALexp"></a>exp : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALlog"></a>log : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALlog10"></a>log10 : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALlog_b"></a>log_b : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Complextrigonometricfunctions"></a>
<h4>Complex trigonometric functions</h4><br>
<pre><span class="keyword">val</span> <a name="VALsin"></a>sin : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcos"></a>cos : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALtan"></a>tan : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsec"></a>sec : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcsc"></a>csc : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcot"></a>cot : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Inversecomplextrigonometricfunctions"></a>
<h4>Inverse complex trigonometric functions</h4><br>
<pre><span class="keyword">val</span> <a name="VALarcsin"></a>arcsin : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarcsin_real"></a>arcsin_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccos"></a>arccos : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccos_real"></a>arccos_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarctan"></a>arctan : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarcsec"></a>arcsec : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarcsec_real"></a>arcsec_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccsc"></a>arccsc : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccsc_real"></a>arccsc_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccot"></a>arccot : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Complexhyperbolicfunctions"></a>
<h4>Complex hyperbolic functions</h4><br>
<pre><span class="keyword">val</span> <a name="VALsinh"></a>sinh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcosh"></a>cosh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALtanh"></a>tanh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALsech"></a>sech : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcsch"></a>csch : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALcoth"></a>coth : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><br>
<a name="4_Inversecomplexhyperbolicfunctions"></a>
<h4>Inverse complex hyperbolic functions</h4><br>
<pre><span class="keyword">val</span> <a name="VALarcsinh"></a>arcsinh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccosh"></a>arccosh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccosh_real"></a>arccosh_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarctanh"></a>arctanh : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarctanh_real"></a>arctanh_real : <code class="type">float -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarcsech"></a>arcsech : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccsch"></a>arccsch : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre><pre><span class="keyword">val</span> <a name="VALarccoth"></a>arccoth : <code class="type"><a href="Gsl_complex.html#TYPEcomplex">complex</a> -> <a href="Gsl_complex.html#TYPEcomplex">complex</a></code></pre></body></html>
