mirror of https://gitlab.com/rnger/amath
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<div id="projectname">amath
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 <span id="projectnumber">1.6.2</span>
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<div id="projectbrief">Simple command line calculator</div>
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<div class="textblock"><code>#include "<a class="el" href="cplex_2prim_8h_source.html">prim.h</a>"</code><br />
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<code>#include "<a class="el" href="math_8h_source.html">math.h</a>"</code><br />
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<code>#include "<a class="el" href="complex_8h_source.html">complex.h</a>"</code><br />
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Functions</h2></td></tr>
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<tr class="memitem:a333c9aa02a58163693f67e1d47aa9887"><td class="memItemLeft" align="right" valign="top"><a class="el" href="unioncomplex.html">complex</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="casinh_8c.html#a333c9aa02a58163693f67e1d47aa9887">casinh</a> (<a class="el" href="unioncomplex.html">complex</a> z)</td></tr>
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<tr class="memdesc:a333c9aa02a58163693f67e1d47aa9887"><td class="mdescLeft"> </td><td class="mdescRight">Inverse hyperbolic sine of complex number. <a href="#a333c9aa02a58163693f67e1d47aa9887">More...</a><br /></td></tr>
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<h2 class="groupheader">Function Documentation</h2>
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<td class="memname"><a class="el" href="unioncomplex.html">complex</a> casinh </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="unioncomplex.html">complex</a> </td>
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<td class="paramname"><em>z</em></td><td>)</td>
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<td></td>
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<p>Inverse hyperbolic sine of complex number. </p>
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<dl class="section version"><dt>Version</dt><dd>1.0 </dd></dl>
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<dl class="section date"><dt>Date</dt><dd>14/09/15</dd></dl>
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<p>Inverse hyperbolic sine expressed using complex logarithms: </p><pre>
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asinh(z) = log(z + sqrt(z*z + 1))</pre><pre>With branch cuts: -i INF to -i and i to i INF</pre><pre>Domain: -INF to INF
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Range: -INF to INF
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</pre><p> More info is available at Wikipedia: <br />
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<a href="http://en.wikipedia.org/wiki/Inverse_hyperbolic_function#Logarithmic_representation">http://en.wikipedia.org/wiki/Inverse_hyperbolic_function#Logarithmic_representation</a> </p>
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<p>Definition at line <a class="el" href="casinh_8c_source.html#l00048">48</a> of file <a class="el" href="casinh_8c_source.html">casinh.c</a>.</p>
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<p>References <a class="el" href="prim_8c_source.html#l00128">cadd()</a>, <a class="el" href="clog_8c_source.html#l00046">clog()</a>, <a class="el" href="prim_8c_source.html#l00150">cmul()</a>, <a class="el" href="prim_8c_source.html#l00071">cpack()</a>, and <a class="el" href="csqrt_8c_source.html#l00046">csqrt()</a>.</p>
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<p>Referenced by <a class="el" href="cplex_8cpp_source.html#l00318">ComplexNumber::HypArcSine()</a>.</p>
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<div class="fragment"><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> {</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="unioncomplex.html">complex</a> <a class="code" href="ktan_8c.html#a7cf126dbeb6f30c606e3b42fea65cfef">one</a> = <a class="code" href="complex_8h.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a>(1.0, 0.0);</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="unioncomplex.html">complex</a> a = <a class="code" href="complex_8h.html#a02d8fd1ce9c4fa4e25b1fa676ca96d4e">cadd</a>(<a class="code" href="complex_8h.html#a340ad83d03bcc727538d25dcf6dd26e9">cmul</a>(z, z), one);</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="unioncomplex.html">complex</a> b = <a class="code" href="complex_8h.html#a02d8fd1ce9c4fa4e25b1fa676ca96d4e">cadd</a>(z, <a class="code" href="complex_8h.html#afe5b814a44414f20d0f98fe974737edd">csqrt</a>(a));</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="unioncomplex.html">complex</a> w = <a class="code" href="complex_8h.html#a888b8eb5ccc46411e68f6d7b99035888">clog</a>(b);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> w;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> }</div><div class="ttc" id="unioncomplex_html"><div class="ttname"><a href="unioncomplex.html">complex</a></div><div class="ttdef"><b>Definition:</b> <a href="complex_8h_source.html#l00040">complex.h:40</a></div></div>
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<div class="ttc" id="complex_8h_html_afe5b814a44414f20d0f98fe974737edd"><div class="ttname"><a href="complex_8h.html#afe5b814a44414f20d0f98fe974737edd">csqrt</a></div><div class="ttdeci">complex csqrt(complex z)</div><div class="ttdoc">Square root of complex number. </div><div class="ttdef"><b>Definition:</b> <a href="csqrt_8c_source.html#l00046">csqrt.c:46</a></div></div>
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<div class="ttc" id="complex_8h_html_a340ad83d03bcc727538d25dcf6dd26e9"><div class="ttname"><a href="complex_8h.html#a340ad83d03bcc727538d25dcf6dd26e9">cmul</a></div><div class="ttdeci">complex cmul(complex a, complex z)</div><div class="ttdoc">Multiplication of two complex numbers. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00150">prim.c:150</a></div></div>
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<div class="ttc" id="complex_8h_html_a02d8fd1ce9c4fa4e25b1fa676ca96d4e"><div class="ttname"><a href="complex_8h.html#a02d8fd1ce9c4fa4e25b1fa676ca96d4e">cadd</a></div><div class="ttdeci">complex cadd(complex a, complex z)</div><div class="ttdoc">Addition of two complex numbers. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00128">prim.c:128</a></div></div>
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<div class="ttc" id="complex_8h_html_a888b8eb5ccc46411e68f6d7b99035888"><div class="ttname"><a href="complex_8h.html#a888b8eb5ccc46411e68f6d7b99035888">clog</a></div><div class="ttdeci">complex clog(complex z)</div><div class="ttdoc">Natural logarithm of a complex number. </div><div class="ttdef"><b>Definition:</b> <a href="clog_8c_source.html#l00046">clog.c:46</a></div></div>
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<div class="ttc" id="ktan_8c_html_a7cf126dbeb6f30c606e3b42fea65cfef"><div class="ttname"><a href="ktan_8c.html#a7cf126dbeb6f30c606e3b42fea65cfef">one</a></div><div class="ttdeci">#define one</div><div class="ttdef"><b>Definition:</b> <a href="ktan_8c_source.html#l00064">ktan.c:64</a></div></div>
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<div class="ttc" id="complex_8h_html_a980e6e049f7902b05fc9eb5614b07a5c"><div class="ttname"><a href="complex_8h.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a></div><div class="ttdeci">complex cpack(double x, double y)</div><div class="ttdoc">Pack two real numbers into a complex number. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00071">prim.c:71</a></div></div>
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