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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Functions</h2></td></tr>
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<tr class="memitem:abcc180facc4c06148ed64b7bd028e643"><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="ccoth_8c.html#abcc180facc4c06148ed64b7bd028e643">ccoth</a> (<a class="el" href="unioncomplex.html">complex</a> z)</td></tr>
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<tr class="memdesc:abcc180facc4c06148ed64b7bd028e643"><td class="mdescLeft"> </td><td class="mdescRight">Hyperbolic cotangent of a complex number. <a href="#abcc180facc4c06148ed64b7bd028e643">More...</a><br /></td></tr>
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<tr class="separator:abcc180facc4c06148ed64b7bd028e643"><td class="memSeparator" colspan="2"> </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> ccoth </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>Hyperbolic cotangent of a complex number. </p>
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<pre>
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acoth(z) = 0.5 * (log(1 + 1/z) - log(1 - 1/z))
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</pre><p> or </p><pre>
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a+bi
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sinh(2.0 * a)
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real = ---------------------------—
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cosh(2.0 * a) - cos(2.0 * b)
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<pre class="fragment"> -sin(2.0 * b)
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</pre>
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imag = ---------------------------—
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cosh(2.0 * a) - cos(2.0 * b)
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</pre>
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<p>Definition at line <a class="el" href="ccoth_8c_source.html#l00049">49</a> of file <a class="el" href="ccoth_8c_source.html">ccoth.c</a>.</p>
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<p>References <a class="el" href="prim_8c_source.html#l00047">cimag()</a>, <a class="el" href="cos_8c_source.html#l00087">cos()</a>, <a class="el" href="cosh_8c_source.html#l00084">cosh()</a>, <a class="el" href="prim_8c_source.html#l00071">cpack()</a>, <a class="el" href="prim_8c_source.html#l00038">creal()</a>, <a class="el" href="sin_8c_source.html#l00087">sin()</a>, and <a class="el" href="sinh_8c_source.html#l00081">sinh()</a>.</p>
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<p>Referenced by <a class="el" href="cplex_8cpp_source.html#l00313">ComplexNumber::HypCotangent()</a>.</p>
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<div class="fragment"><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="unioncomplex.html">complex</a> w;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordtype">double</span> a, b;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">double</span> d;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  a = <a class="code" href="complex_8h.html#a4a236b24c0197821e3489a35a72079ab">creal</a>(z);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  b = <a class="code" href="complex_8h.html#aa1fe0b9371befabef6c41ba73470774a">cimag</a>(z);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  d = <a class="code" href="math_8h.html#a3795d3c1f1d30819be56da4e4d67f64b">cosh</a>(2.0 * a) - <a class="code" href="math_8h.html#a5e7b53a694b3cf0f2d7debd444140fbd">cos</a>(2.0 * b);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  w = <a class="code" href="complex_8h.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a>(<a class="code" href="math_8h.html#a862012e970c977c482507064e2793b45">sinh</a>(2.0 * a) / d, -<a class="code" href="math_8h.html#aad4af25633b071b0e2cdb8ebd87eca77">sin</a>(2.0 * b) / d);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">return</span> w;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</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="math_8h_html_a862012e970c977c482507064e2793b45"><div class="ttname"><a href="math_8h.html#a862012e970c977c482507064e2793b45">sinh</a></div><div class="ttdeci">double sinh(double x)</div><div class="ttdoc">Hyperbolic sine function. </div><div class="ttdef"><b>Definition:</b> <a href="sinh_8c_source.html#l00081">sinh.c:81</a></div></div>
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<div class="ttc" id="math_8h_html_a5e7b53a694b3cf0f2d7debd444140fbd"><div class="ttname"><a href="math_8h.html#a5e7b53a694b3cf0f2d7debd444140fbd">cos</a></div><div class="ttdeci">double cos(double x)</div><div class="ttdoc">Trigonometric cosine function. </div><div class="ttdef"><b>Definition:</b> <a href="cos_8c_source.html#l00087">cos.c:87</a></div></div>
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<div class="ttc" id="math_8h_html_aad4af25633b071b0e2cdb8ebd87eca77"><div class="ttname"><a href="math_8h.html#aad4af25633b071b0e2cdb8ebd87eca77">sin</a></div><div class="ttdeci">double sin(double x)</div><div class="ttdoc">Trigonometric sine function. </div><div class="ttdef"><b>Definition:</b> <a href="sin_8c_source.html#l00087">sin.c:87</a></div></div>
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<div class="ttc" id="math_8h_html_a3795d3c1f1d30819be56da4e4d67f64b"><div class="ttname"><a href="math_8h.html#a3795d3c1f1d30819be56da4e4d67f64b">cosh</a></div><div class="ttdeci">double cosh(double x)</div><div class="ttdoc">Hyperbolic cosine function. </div><div class="ttdef"><b>Definition:</b> <a href="cosh_8c_source.html#l00084">cosh.c:84</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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<div class="ttc" id="complex_8h_html_a4a236b24c0197821e3489a35a72079ab"><div class="ttname"><a href="complex_8h.html#a4a236b24c0197821e3489a35a72079ab">creal</a></div><div class="ttdeci">double creal(complex z)</div><div class="ttdoc">Real part of complex number. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00038">prim.c:38</a></div></div>
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<div class="ttc" id="complex_8h_html_aa1fe0b9371befabef6c41ba73470774a"><div class="ttname"><a href="complex_8h.html#aa1fe0b9371befabef6c41ba73470774a">cimag</a></div><div class="ttdeci">double cimag(complex z)</div><div class="ttdoc">Imaginary part of complex number. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00047">prim.c:47</a></div></div>
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Here is the caller graph for this function:</div>
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