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Documentation for 53a6c16730
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<meta name="generator" content="Doxygen 1.9.3"/>
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<title>Algorithms_in_C++: Complex Class Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search",'Search','.html');
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@@ -201,16 +201,16 @@ double </td><td class="memItemRight" valign="bottom"><b>im</b></td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">if</span> (!is_polar) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> re = x;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> im = y;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> re = x * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(y);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> im = x * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a>(y);</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 43</span> {</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">if</span> (!is_polar) {</div>
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<div class="line"><span class="lineno"> 45</span> re = x;</div>
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<div class="line"><span class="lineno"> 46</span> im = y;</div>
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<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><span class="lineno"> 48</span> }</div>
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<div class="line"><span class="lineno"> 49</span> </div>
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<div class="line"><span class="lineno"> 50</span> re = x * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(y);</div>
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<div class="line"><span class="lineno"> 51</span> im = x * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a>(y);</div>
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<div class="line"><span class="lineno"> 52</span> }</div>
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<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
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<div class="ttc" id="asin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a></div><div class="ttdeci">T sin(T... args)</div></div>
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</table>
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<div class="fragment"><div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>: re(other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>()), im(other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>()) {}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 58</span>: re(other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>()), im(other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>()) {}</div>
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<div class="ttc" id="aclass_complex_html_a312e4b19146128408fb06e0150b0faf6"><div class="ttname"><a href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">Complex::real</a></div><div class="ttdeci">double real() const</div><div class="ttdoc">Member function to get real value of our complex number. Member function (getter) to access the class...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:64</div></div>
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<div class="ttc" id="aclass_complex_html_af8aacf982e2e6c142921bc850f6dc974"><div class="ttname"><a href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">Complex::imag</a></div><div class="ttdeci">double imag() const</div><div class="ttdoc">Member function to get imaginary value of our complex number. Member function (getter) to access the ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:70</div></div>
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@@ -285,9 +285,9 @@ Here is the call graph for this function:</div>
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<p>Member function to give the modulus of our complex number. Member function to which gives the absolute value (modulus) of our complex number. </p>
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<dl class="section return"><dt>Returns</dt><dd>\( \sqrt{z \bar{z}} \) where \( z \) is our complex number. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> {</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(this->re * this->re + this->im * this->im);</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 79</span> {</div>
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<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(this->re * this->re + this->im * this->im);</div>
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<div class="line"><span class="lineno"> 81</span> }</div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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Here is the call graph for this function:</div>
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@@ -323,7 +323,7 @@ Here is the call graph for this function:</div>
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<p>Member function to give the argument of our complex number. </p>
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<dl class="section return"><dt>Returns</dt><dd>Argument of our <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> number in radians. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span>{ <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/atan2.html">std::atan2</a>(this->im, this->re); }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 87</span>{ <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/atan2.html">std::atan2</a>(this->im, this->re); }</div>
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<div class="ttc" id="aatan2_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/atan2.html">std::atan2</a></div><div class="ttdeci">T atan2(T... args)</div></div>
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Here is the call graph for this function:</div>
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@@ -358,7 +358,7 @@ Here is the call graph for this function:</div>
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</div><div class="memdoc">
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<p>Member function to get imaginary value of our complex number. Member function (getter) to access the class' im value. </p>
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<div class="fragment"><div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>{ <span class="keywordflow">return</span> this->im; }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 70</span>{ <span class="keywordflow">return</span> this->im; }</div>
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</div><!-- fragment -->
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</div>
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@@ -394,11 +394,11 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>result current number times other number. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> {</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re * other.re - this->im * other.im,</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> this->re * other.im + this->im * other.re);</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 117</span> {</div>
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<div class="line"><span class="lineno"> 118</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re * other.re - this->im * other.im,</div>
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<div class="line"><span class="lineno"> 119</span> this->re * other.im + this->im * other.re);</div>
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<div class="line"><span class="lineno"> 120</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 121</span> }</div>
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<div class="ttc" id="aclass_complex_html"><div class="ttname"><a href="../../da/d5a/class_complex.html">Complex</a></div><div class="ttdoc">Class Complex to represent complex numbers as a field.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:20</div></div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
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@@ -436,10 +436,10 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>result current number plus other number </dd></dl>
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<div class="fragment"><div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re + other.re, this->im + other.im);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 95</span> {</div>
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<div class="line"><span class="lineno"> 96</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re + other.re, this->im + other.im);</div>
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<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 98</span> }</div>
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</div><!-- fragment -->
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</div>
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@@ -475,10 +475,10 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>result current number subtract other number </dd></dl>
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<div class="fragment"><div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> {</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re - other.re, this->im - other.im);</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 106</span> {</div>
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<div class="line"><span class="lineno"> 107</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(this->re - other.re, this->im - other.im);</div>
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<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 109</span> }</div>
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</div><!-- fragment -->
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</div>
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</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>result Current number divided by other number. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> {</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = *<span class="keyword">this</span> * ~other;</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">double</span> denominator =</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() * other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() + other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() * other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">if</span> (denominator != 0) {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code hl_function" href="../../da/d5a/class_complex.html#a3cfc522c782726f49ee20af17b77f867">Complex</a>(<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.real() / denominator,</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.imag() / denominator);</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">"Undefined Value"</span>);</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> }</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 142</span> {</div>
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<div class="line"><span class="lineno"> 143</span> <a class="code hl_class" href="../../da/d5a/class_complex.html">Complex</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = *<span class="keyword">this</span> * ~other;</div>
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<div class="line"><span class="lineno"> 144</span> <span class="keywordtype">double</span> denominator =</div>
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<div class="line"><span class="lineno"> 145</span> other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() * other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() + other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() * other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
|
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<div class="line"><span class="lineno"> 146</span> <span class="keywordflow">if</span> (denominator != 0) {</div>
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<div class="line"><span class="lineno"> 147</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code hl_function" href="../../da/d5a/class_complex.html#a3cfc522c782726f49ee20af17b77f867">Complex</a>(<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.real() / denominator,</div>
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<div class="line"><span class="lineno"> 148</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.imag() / denominator);</div>
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<div class="line"><span class="lineno"> 149</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 150</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 151</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">"Undefined Value"</span>);</div>
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<div class="line"><span class="lineno"> 152</span> }</div>
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<div class="ttc" id="aclass_complex_html_a3cfc522c782726f49ee20af17b77f867"><div class="ttname"><a href="../../da/d5a/class_complex.html#a3cfc522c782726f49ee20af17b77f867">Complex::Complex</a></div><div class="ttdeci">Complex(double x=0.f, double y=0.f, bool is_polar=false)</div><div class="ttdoc">Complex Constructor which initialises our complex number.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:43</div></div>
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<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
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<p>Operator overload of '=' on <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. Operator overload to be able to copy RHS instance of <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> to LHS instance of <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a>. </p>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> this->im = other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 160</span> {</div>
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<div class="line"><span class="lineno"> 161</span> this->re = other.<a class="code hl_function" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>();</div>
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<div class="line"><span class="lineno"> 162</span> this->im = other.<a class="code hl_function" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
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<div class="line"><span class="lineno"> 163</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<p>Operator overload of '~' on <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. Operator overload of the BITWISE NOT which gives us the conjugate of our complex number. NOTE: This is overloading the BITWISE operator but its not a BITWISE operation in this definition. </p>
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||||
<dl class="section return"><dt>Returns</dt><dd>result The conjugate of our complex number. </dd></dl>
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<div class="fragment"><div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> {</div>
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<p>Member function to get real value of our complex number. Member function (getter) to access the class' re value. </p>
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<div class="fragment"><div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>{ <span class="keywordflow">return</span> this->re; }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 64</span>{ <span class="keywordflow">return</span> this->re; }</div>
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Reference in New Issue
Block a user