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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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<a href="cacot_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (c) 2015-2017 Carsten Sonne Larsen <cs@innolan.dk></span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * All rights reserved.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Redistribution and use in source and binary forms, with or without</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * modification, are permitted provided that the following conditions</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * are met:</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * 1. Redistributions of source code must retain the above copyright</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * notice, this list of conditions and the following disclaimer.</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * 2. Redistributions in binary form must reproduce the above copyright</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * notice, this list of conditions and the following disclaimer in the</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * documentation and/or other materials provided with the distribution.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> *</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> *</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> */</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="cplex_2prim_8h.html">"prim.h"</a></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="math_8h.html" title="Functions in math library for handling real numbers. ">"math.h"</a></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="complex_8h.html" title="Functions in math library for handling complex numbers. ">"complex.h"</a></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">/**</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> * @brief Inverse cotangent of complex number</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> * @version 1.1</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * @date 14/10/01</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> * @details</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * Inverse cotangent expressed using complex logarithms:</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * <pre></span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * arccot z = i/2 * (log(1 - i/z) - log(1 + i/z))</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * </pre></span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * More info is available at Wikipedia: <BR></span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> * http://en.wikipedia.org/wiki/Inverse_trigonometric_functions#Logarithmic_forms</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> */</span></div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="cacot_8c.html#a9fe610b52824ffaa0764c77e462c9815"> 43</a></span> complex <a class="code" href="cacot_8c.html#a9fe610b52824ffaa0764c77e462c9815">cacot</a>(complex z)</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  complex one = <a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a><a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">(</a>1.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">,</a> 0.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">)</a>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  complex two = <a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a><a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">(</a>2.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">,</a> 0.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">)</a>;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  complex i = <a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">cpack</a><a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">(</a>0.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">,</a> 1.0<a class="code" href="prim_8c.html#a980e6e049f7902b05fc9eb5614b07a5c">)</a>;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  complex iz = <a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">cdiv</a><a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">(</a>i<a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">,</a> z<a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">)</a>;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  complex p = <a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">clog</a><a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">(</a><a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">csub</a><a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">(</a>one<a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">,</a> iz<a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">)</a><a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">)</a>;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  complex q = <a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">clog</a><a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">(</a><a class="code" href="prim_8c.html#aa334a54c40e3eeb301f2a510a7675070">cadd</a><a class="code" href="prim_8c.html#aa334a54c40e3eeb301f2a510a7675070">(</a>one<a class="code" href="prim_8c.html#aa334a54c40e3eeb301f2a510a7675070">,</a> iz<a class="code" href="prim_8c.html#aa334a54c40e3eeb301f2a510a7675070">)</a><a class="code" href="clog_8c.html#a888b8eb5ccc46411e68f6d7b99035888">)</a>;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  complex w = <a class="code" href="prim_8c.html#a71e6e973f5b98b4c9140c0d374d9223d">cmul</a><a class="code" href="prim_8c.html#a71e6e973f5b98b4c9140c0d374d9223d">(</a><a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">cdiv</a><a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">(</a>i<a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">,</a> two<a class="code" href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">)</a><a class="code" href="prim_8c.html#a71e6e973f5b98b4c9140c0d374d9223d">,</a> <a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">csub</a><a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">(</a>p<a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">,</a> q<a class="code" href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">)</a><a class="code" href="prim_8c.html#a71e6e973f5b98b4c9140c0d374d9223d">)</a>;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">return</span> w;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> }</div><div class="ttc" id="prim_8c_html_a9bebe3fb8e9e03dbe04a2ecedbe4a114"><div class="ttname"><a href="prim_8c.html#a9bebe3fb8e9e03dbe04a2ecedbe4a114">csub</a></div><div class="ttdeci">complex csub(complex y, complex z)</div><div class="ttdoc">Subtraction of two complex numbers. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00139">prim.c:139</a></div></div>
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<div class="ttc" id="prim_8c_html_afeb504d8fe89e8fc7dea6e6592af70f6"><div class="ttname"><a href="prim_8c.html#afeb504d8fe89e8fc7dea6e6592af70f6">cdiv</a></div><div class="ttdeci">complex cdiv(complex y, complex z)</div><div class="ttdoc">Division of two complex numbers. </div><div class="ttdef"><b>Definition:</b> <a href="prim_8c_source.html#l00170">prim.c:170</a></div></div>
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<div class="ttc" id="prim_8c_html_a71e6e973f5b98b4c9140c0d374d9223d"><div class="ttname"><a href="prim_8c.html#a71e6e973f5b98b4c9140c0d374d9223d">cmul</a></div><div class="ttdeci">complex cmul(complex y, 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="prim_8c_html_a980e6e049f7902b05fc9eb5614b07a5c"><div class="ttname"><a href="prim_8c.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="prim_8c_html_aa334a54c40e3eeb301f2a510a7675070"><div class="ttname"><a href="prim_8c.html#aa334a54c40e3eeb301f2a510a7675070">cadd</a></div><div class="ttdeci">complex cadd(complex y, 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="cacot_8c_html_a9fe610b52824ffaa0764c77e462c9815"><div class="ttname"><a href="cacot_8c.html#a9fe610b52824ffaa0764c77e462c9815">cacot</a></div><div class="ttdeci">complex cacot(complex z)</div><div class="ttdoc">Inverse cotangent of complex number. </div><div class="ttdef"><b>Definition:</b> <a href="cacot_8c_source.html#l00043">cacot.c:43</a></div></div>
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<div class="ttc" id="clog_8c_html_a888b8eb5ccc46411e68f6d7b99035888"><div class="ttname"><a href="clog_8c.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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