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<div class="headertitle"><div class="title">quadratic_equations_complex_numbers.cpp File Reference</div></div>
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<div class="contents">
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<p>Calculate quadratic equation with complex roots, i.e. b^2 - 4ac < 0.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <array></code><br />
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<code>#include <cassert></code><br />
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<code>#include <cmath></code><br />
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<code>#include <complex></code><br />
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<code>#include <exception></code><br />
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<code>#include <iomanip></code><br />
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<code>#include <iostream></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for quadratic_equations_complex_numbers.cpp:</div>
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<div class="dyncontent">
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<p><a href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:math" id="r_math"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft"> </td><td class="mdescRight">for assert <br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aacb1411ef2029e81f249c21e17c96fdb" id="r_aacb1411ef2029e81f249c21e17c96fdb"><td class="memItemLeft" align="right" valign="top">std::array< std::complex< long double >, 2 > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a> (long double a, long double b, long double c)</td></tr>
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<tr class="memdesc:aacb1411ef2029e81f249c21e17c96fdb"><td class="mdescLeft"> </td><td class="mdescRight">Quadratic equation calculator. <br /></td></tr>
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<tr class="memitem:af7a6d4e3dc85a6288c8f1f7094830c5a" id="r_af7a6d4e3dc85a6288c8f1f7094830c5a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#af7a6d4e3dc85a6288c8f1f7094830c5a">assertArray</a> (std::array< std::complex< long double >, 2 > input, std::array< std::complex< long double >, 2 > expected, size_t precision=10)</td></tr>
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<tr class="memdesc:af7a6d4e3dc85a6288c8f1f7094830c5a"><td class="mdescLeft"> </td><td class="mdescRight">Asserts an array of complex numbers. <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations to test quadraticEquation function. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Calculate quadratic equation with complex roots, i.e. b^2 - 4ac < 0. </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Renjian-buchai" target="_blank">Renjian-buchai</a></dd></dl>
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<p>@description Calculates any quadratic equation in form ax^2 + bx + c.</p>
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<p>Quadratic equation: x = (-b +/- sqrt(b^2 - 4ac)) / 2a </p>
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<p class="definition">Definition in file <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html">quadratic_equations_complex_numbers.cpp</a>.</p>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
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<a id="af7a6d4e3dc85a6288c8f1f7094830c5a" name="af7a6d4e3dc85a6288c8f1f7094830c5a"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af7a6d4e3dc85a6288c8f1f7094830c5a">◆ </a></span>assertArray()</h2>
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<td class="memname">void assertArray </td>
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<td>(</td>
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<td class="paramtype">std::array< std::complex< long double >, 2 ></td> <td class="paramname"><span class="paramname"><em>input</em></span>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">std::array< std::complex< long double >, 2 ></td> <td class="paramname"><span class="paramname"><em>expected</em></span>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">size_t</td> <td class="paramname"><span class="paramname"><em>precision</em></span><span class="paramdefsep"> = </span><span class="paramdefval">10</span> )</td>
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</div><div class="memdoc">
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<p>Asserts an array of complex numbers. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">input</td><td>Input array of complex numbers. . </td></tr>
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<tr><td class="paramname">expected</td><td>Expected array of complex numbers. </td></tr>
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<tr><td class="paramname">precision</td><td>Precision to be asserted. Default=10 </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../df/dcd/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2math_2quadratic_equations_complex_numbers_8cpp-example.html#a1">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/math/quadratic_equations_complex_numbers.cpp</a>.</dd>
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</dl>
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<p class="definition">Definition at line <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00100">100</a> of file <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html">quadratic_equations_complex_numbers.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
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<div class="line"><span class="lineno"> 103</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> exponent = std::pow(10, precision);</div>
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<div class="line"><span class="lineno"> 104</span> input[0].real(std::round(input[0].real() * exponent));</div>
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<div class="line"><span class="lineno"> 105</span> input[1].real(std::round(input[1].real() * exponent));</div>
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<div class="line"><span class="lineno"> 106</span> input[0].imag(std::round(input[0].imag() * exponent));</div>
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<div class="line"><span class="lineno"> 107</span> input[1].imag(std::round(input[1].imag() * exponent));</div>
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<div class="line"><span class="lineno"> 108</span> </div>
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<div class="line"><span class="lineno"> 109</span> expected[0].real(std::round(expected[0].real() * exponent));</div>
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<div class="line"><span class="lineno"> 110</span> expected[1].real(std::round(expected[1].real() * exponent));</div>
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<div class="line"><span class="lineno"> 111</span> expected[0].imag(std::round(expected[0].imag() * exponent));</div>
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<div class="line"><span class="lineno"> 112</span> expected[1].imag(std::round(expected[1].imag() * exponent));</div>
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<div class="line"><span class="lineno"> 113</span> </div>
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<div class="line"><span class="lineno"> 114</span> assert(input == expected);</div>
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<div class="line"><span class="lineno"> 115</span>}</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<td></td>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00186">186</a> of file <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html">quadratic_equations_complex_numbers.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 186</span> {</div>
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<div class="line"><span class="lineno"> 187</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Run self-test implementation.</span></div>
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<div class="line"><span class="lineno"> 188</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 189</span>}</div>
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<div class="ttc" id="aquadratic__equations__complex__numbers_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations to test quadraticEquation function.</div><div class="ttdef"><b>Definition</b> <a href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00122">quadratic_equations_complex_numbers.cpp:122</a></div></div>
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</div><!-- fragment -->
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</div>
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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
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<td class="memname">void test </td>
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<td>(</td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<td></td>
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<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>Self-test implementations to test quadraticEquation function. </p>
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<dl class="section note"><dt>Note</dt><dd>There are 4 different types of solutions: Real and equal, real, complex, complex and equal. </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00122">122</a> of file <a class="el" href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html">quadratic_equations_complex_numbers.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
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<div class="line"><span class="lineno"> 123</span> <span class="comment">// Values are equal and real.</span></div>
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<div class="line"><span class="lineno"> 124</span> std::cout << <span class="stringliteral">"Input: \n"</span></div>
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<div class="line"><span class="lineno"> 125</span> <span class="stringliteral">"a=1 \n"</span></div>
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<div class="line"><span class="lineno"> 126</span> <span class="stringliteral">"b=-2 \n"</span></div>
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<div class="line"><span class="lineno"> 127</span> <span class="stringliteral">"c=1 \n"</span></div>
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<div class="line"><span class="lineno"> 128</span> <span class="stringliteral">"Expected output: \n"</span></div>
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<div class="line"><span class="lineno"> 129</span> <span class="stringliteral">"(1, 0), (1, 0)\n\n"</span>;</div>
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<div class="line"><span class="lineno"> 130</span> std::array<std::complex<long double>, 2> equalCase{</div>
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<div class="line"><span class="lineno"> 131</span> std::complex<long double>{1, 0}, std::complex<long double>{1, 0}};</div>
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<div class="line"><span class="lineno"> 132</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a>(1, -2, 1) == equalCase);</div>
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<div class="line"><span class="lineno"> 133</span> </div>
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<div class="line"><span class="lineno"> 134</span> <span class="comment">// Values are equal and complex.</span></div>
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<div class="line"><span class="lineno"> 135</span> std::cout << <span class="stringliteral">"Input: \n"</span></div>
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<div class="line"><span class="lineno"> 136</span> <span class="stringliteral">"a=1 \n"</span></div>
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<div class="line"><span class="lineno"> 137</span> <span class="stringliteral">"b=4 \n"</span></div>
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<div class="line"><span class="lineno"> 138</span> <span class="stringliteral">"c=5 \n"</span></div>
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<div class="line"><span class="lineno"> 139</span> <span class="stringliteral">"Expected output: \n"</span></div>
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<div class="line"><span class="lineno"> 140</span> <span class="stringliteral">"(-2, -1), (-2, 1)\n\n"</span>;</div>
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<div class="line"><span class="lineno"> 141</span> std::array<std::complex<long double>, 2> complexCase{</div>
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<div class="line"><span class="lineno"> 142</span> std::complex<long double>{-2, -1}, std::complex<long double>{-2, 1}};</div>
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<div class="line"><span class="lineno"> 143</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a>(1, 4, 5) == complexCase);</div>
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<div class="line"><span class="lineno"> 144</span> </div>
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<div class="line"><span class="lineno"> 145</span> <span class="comment">// Values are real.</span></div>
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<div class="line"><span class="lineno"> 146</span> std::cout << <span class="stringliteral">"Input: \n"</span></div>
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<div class="line"><span class="lineno"> 147</span> <span class="stringliteral">"a=1 \n"</span></div>
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<div class="line"><span class="lineno"> 148</span> <span class="stringliteral">"b=5 \n"</span></div>
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<div class="line"><span class="lineno"> 149</span> <span class="stringliteral">"c=1 \n"</span></div>
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<div class="line"><span class="lineno"> 150</span> <span class="stringliteral">"Expected output: \n"</span></div>
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<div class="line"><span class="lineno"> 151</span> <span class="stringliteral">"(-4.7912878475, 0), (-0.2087121525, 0)\n\n"</span>;</div>
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<div class="line"><span class="lineno"> 152</span> std::array<std::complex<long double>, 2> floatCase{</div>
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<div class="line"><span class="lineno"> 153</span> std::complex<long double>{-4.7912878475, 0},</div>
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<div class="line"><span class="lineno"> 154</span> std::complex<long double>{-0.2087121525, 0}};</div>
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<div class="line"><span class="lineno"> 155</span> <a class="code hl_function" href="#af7a6d4e3dc85a6288c8f1f7094830c5a">assertArray</a>(<a class="code hl_function" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a>(1, 5, 1), floatCase);</div>
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<div class="line"><span class="lineno"> 156</span> </div>
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<div class="line"><span class="lineno"> 157</span> <span class="comment">// Values are complex.</span></div>
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<div class="line"><span class="lineno"> 158</span> std::cout << <span class="stringliteral">"Input: \n"</span></div>
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<div class="line"><span class="lineno"> 159</span> <span class="stringliteral">"a=1 \n"</span></div>
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<div class="line"><span class="lineno"> 160</span> <span class="stringliteral">"b=1 \n"</span></div>
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<div class="line"><span class="lineno"> 161</span> <span class="stringliteral">"c=1 \n"</span></div>
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<div class="line"><span class="lineno"> 162</span> <span class="stringliteral">"Expected output: \n"</span></div>
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<div class="line"><span class="lineno"> 163</span> <span class="stringliteral">"(-0.5, -0.8660254038), (-0.5, 0.8660254038)\n\n"</span>;</div>
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<div class="line"><span class="lineno"> 164</span> std::array<std::complex<long double>, 2> ifloatCase{</div>
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<div class="line"><span class="lineno"> 165</span> std::complex<long double>{-0.5, -0.8660254038},</div>
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<div class="line"><span class="lineno"> 166</span> std::complex<long double>{-0.5, 0.8660254038}};</div>
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<div class="line"><span class="lineno"> 167</span> <a class="code hl_function" href="#af7a6d4e3dc85a6288c8f1f7094830c5a">assertArray</a>(<a class="code hl_function" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a>(1, 1, 1), ifloatCase);</div>
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<div class="line"><span class="lineno"> 168</span> </div>
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<div class="line"><span class="lineno"> 169</span> std::cout << <span class="stringliteral">"Exception test: \n"</span></div>
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<div class="line"><span class="lineno"> 170</span> <span class="stringliteral">"Input: \n"</span></div>
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<div class="line"><span class="lineno"> 171</span> <span class="stringliteral">"a=0 \n"</span></div>
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<div class="line"><span class="lineno"> 172</span> <span class="stringliteral">"b=0 \n"</span></div>
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<div class="line"><span class="lineno"> 173</span> <span class="stringliteral">"c=0\n"</span></div>
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<div class="line"><span class="lineno"> 174</span> <span class="stringliteral">"Expected output: Exception thrown \n"</span>;</div>
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<div class="line"><span class="lineno"> 175</span> <span class="keywordflow">try</span> {</div>
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<div class="line"><span class="lineno"> 176</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a>(0, 0, 0);</div>
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<div class="line"><span class="lineno"> 177</span> } <span class="keywordflow">catch</span> (std::invalid_argument& e) {</div>
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<div class="line"><span class="lineno"> 178</span> std::cout << <span class="stringliteral">"Exception thrown successfully \n"</span>;</div>
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<div class="line"><span class="lineno"> 179</span> }</div>
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<div class="line"><span class="lineno"> 180</span>}</div>
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<div class="ttc" id="anamespacemath_html_aacb1411ef2029e81f249c21e17c96fdb"><div class="ttname"><a href="../../dd/d47/namespacemath.html#aacb1411ef2029e81f249c21e17c96fdb">math::quadraticEquation</a></div><div class="ttdeci">std::array< std::complex< long double >, 2 > quadraticEquation(long double a, long double b, long double c)</div><div class="ttdoc">Quadratic equation calculator.</div><div class="ttdef"><b>Definition</b> <a href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00053">quadratic_equations_complex_numbers.cpp:53</a></div></div>
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<div class="ttc" id="aquadratic__equations__complex__numbers_8cpp_html_af7a6d4e3dc85a6288c8f1f7094830c5a"><div class="ttname"><a href="#af7a6d4e3dc85a6288c8f1f7094830c5a">assertArray</a></div><div class="ttdeci">void assertArray(std::array< std::complex< long double >, 2 > input, std::array< std::complex< long double >, 2 > expected, size_t precision=10)</div><div class="ttdoc">Asserts an array of complex numbers.</div><div class="ttdef"><b>Definition</b> <a href="../../da/d18/quadratic__equations__complex__numbers_8cpp_source.html#l00100">quadratic_equations_complex_numbers.cpp:100</a></div></div>
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