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<div class="title">complex_numbers.cpp File Reference</div> </div>
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<div class="textblock"><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 <ctime></code><br />
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<code>#include <iostream></code><br />
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<code>#include <stdexcept></code><br />
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Include dependency graph for complex_numbers.cpp:</div>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d5a/class_complex.html">Complex</a></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a5a73e9d4e68af8cedb95bd0864054b89"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#a5a73e9d4e68af8cedb95bd0864054b89">operator==</a> (const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> &<a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>, const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> &b)</td></tr>
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<tr class="separator:a5a73e9d4e68af8cedb95bd0864054b89"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af738b2a6921f0a6868bb7c5b4c0d18e0"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#af738b2a6921f0a6868bb7c5b4c0d18e0">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &os, const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> &num)</td></tr>
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<tr class="separator:af738b2a6921f0a6868bb7c5b4c0d18e0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5d4d5b8250b50703de888514c8e7a7a0"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a> ()</td></tr>
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<tr class="separator:a5d4d5b8250b50703de888514c8e7a7a0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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<tr class="separator:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><dl class="section author"><dt>Author</dt><dd>tjgurwara99</dd></dl>
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<p>A basic implementation of <a class="el" href="../../da/d5a/class_complex.html">Complex</a> Number field as a class with operators overloaded to accommodate (mathematical) field operations. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a5d4d5b8250b50703de888514c8e7a7a0"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a5d4d5b8250b50703de888514c8e7a7a0">◆ </a></span>get_rand()</h2>
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<td class="memname">double get_rand </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Function to get random numbers to generate our complex numbers for test </p>
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<div class="fragment"><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> { <span class="keywordflow">return</span> (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 100 - 50) / 100.f; }</div>
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</div><!-- fragment --><div class="dynheader">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d5/d67/complex__numbers_8cpp_a5d4d5b8250b50703de888514c8e7a7a0_cgraph.svg" width="204" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td></td>
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  {</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> }</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d5/d67/complex__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="463" height="392"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="af738b2a6921f0a6868bb7c5b4c0d18e0"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af738b2a6921f0a6868bb7c5b4c0d18e0">◆ </a></span>operator<<()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a>& operator<< </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td>
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<td class="paramname"><em>os</em>, </td>
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<td class="paramtype">const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> & </td>
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<td class="paramname"><em>num</em> </td>
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<td>)</td>
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<p>Overloaded insersion operator to accommodate the printing of our complex number in their standard form. </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">os</td><td>The console stream </td></tr>
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<tr><td class="paramname">num</td><td>The complex number. </td></tr>
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</table>
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</dd>
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<div class="fragment"><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  {</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  os << <span class="stringliteral">"("</span> << num.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>();</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span> (num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() < 0) {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  os << <span class="stringliteral">" - "</span> << -num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  os << <span class="stringliteral">" + "</span> << num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  }</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  os << <span class="stringliteral">"i)"</span>;</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordflow">return</span> os;</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5a73e9d4e68af8cedb95bd0864054b89">◆ </a></span>operator==()</h2>
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<td class="memname">bool operator== </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> & </td>
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<td class="paramtype">const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> & </td>
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<td class="paramname"><em>b</em> </td>
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<p>Logical Equal overload for our <a class="el" href="../../da/d5a/class_complex.html">Complex</a> class. </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">a</td><td>Left hand side of our expression </td></tr>
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<tr><td class="paramname">b</td><td>Right hand side of our expression </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>'True' If real and imaginary parts of a and b are same </dd>
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'False' Otherwise. </dd></dl>
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<div class="fragment"><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  {</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">return</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>.real() == b.real() && <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>.imag() == b.imag();</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">◆ </a></span>tests()</h2>
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<td class="memname">void tests </td>
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<p>Tests Function </p>
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<div class="fragment"><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  {</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordtype">double</span> x1 = <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a>(), y1 = <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a>(), x2 = <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a>(), y2 = <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a>();</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="../../da/d5a/class_complex.html">Complex</a> num1(x1, y1), num2(x2, y2);</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex<double></a> cnum1(x1, y1), cnum2(x2, y2);</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="../../da/d5a/class_complex.html">Complex</a> result;</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex<double></a> expected;</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="comment">// Test for addition</span></div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  result = num1 + num2;</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  expected = cnum1 + cnum2;</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"1 + 1i + 1 + 1i is equal to 2 + 2i but the addition doesn't "</span></div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="stringliteral">"add up \n"</span>,</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  (result.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() &&</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  result.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>())));</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"First test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">// Test for subtraction</span></div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  result = num1 - num2;</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  expected = cnum1 - cnum2;</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"1 + 1i - 1 - 1i is equal to 0 but the program says "</span></div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="stringliteral">"otherwise. \n"</span>,</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  (result.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() &&</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  result.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>())));</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Second test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// Test for multiplication</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  result = num1 * num2;</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  expected = cnum1 * cnum2;</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"(1 + 1i) * (1 + 1i) is equal to 2i but the program says "</span></div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="stringliteral">"otherwise. \n"</span>,</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  (result.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() &&</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  result.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>())));</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Third test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="comment">// Test for division</span></div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  result = num1 / num2;</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  expected = cnum1 / cnum2;</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"(1 + 1i) / (1 + 1i) is equal to 1 but the program says "</span></div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="stringliteral">"otherwise.\n"</span>,</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  (result.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() &&</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  result.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>())));</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Fourth test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// Test for conjugates</span></div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  result = ~num1;</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  expected = std::conj(cnum1);</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"(1 + 1i) has a conjugate which is equal to (1 - 1i) but the "</span></div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="stringliteral">"program says otherwise.\n"</span>,</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  (result.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() &&</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  result.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() == expected.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>())));</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Fifth test passes.\n"</span>;</div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// Test for Argument of our complex number</span></div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"(1 + 1i) has argument PI / 4 but the program differs from "</span></div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="stringliteral">"the std::complex result.\n"</span>,</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  (num1.arg() == std::arg(cnum1))));</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Sixth test passes.\n"</span>;</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// Test for absolute value of our complex number</span></div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"(1 + 1i) has absolute value sqrt(2) but the program differs "</span></div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="stringliteral">"from the std::complex result. \n"</span>,</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  (num1.abs() == std::abs(cnum1))));</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Seventh test passes.\n"</span>;</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> }</div>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></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="ttdef"><b>Definition:</b> complex_numbers.cpp:19</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_a5d4d5b8250b50703de888514c8e7a7a0"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a></div><div class="ttdeci">double get_rand()</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:186</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:191</div></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="ttdef"><b>Definition:</b> complex_numbers.cpp:60</div></div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="areal_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">std::complex::real</a></div><div class="ttdeci">T real(T... args)</div></div>
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector< ll > a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</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="ttdef"><b>Definition:</b> complex_numbers.cpp:65</div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="ttc" id="acomplex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="aimag_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">std::complex::imag</a></div><div class="ttdeci">T imag(T... args)</div></div>
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<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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