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@@ -97,6 +97,9 @@ $(document).ready(function(){initNavTree('d5/d67/complex__numbers_8cpp.html','..
<div class="title">complex_numbers.cpp File Reference</div> </div>
</div><!--header-->
<div class="contents">
<p>An implementation of <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;complex&gt;</code><br />
@@ -113,15 +116,20 @@ Include dependency graph for complex_numbers.cpp:</div>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d5a/class_complex.html">Complex</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> to represent complex numbers as a field. <a href="../../da/d5a/class_complex.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a5a73e9d4e68af8cedb95bd0864054b89"><td class="memItemLeft" align="right" valign="top">bool&#160;</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> &amp;a, const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> &amp;b)</td></tr>
<tr class="memdesc:a5a73e9d4e68af8cedb95bd0864054b89"><td class="mdescLeft">&#160;</td><td class="mdescRight">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. Logical Equal overload for our <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. <a href="../../d5/d67/complex__numbers_8cpp.html#a5a73e9d4e68af8cedb95bd0864054b89">More...</a><br /></td></tr>
<tr class="separator:a5a73e9d4e68af8cedb95bd0864054b89"><td class="memSeparator" colspan="2">&#160;</td></tr>
<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> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#af738b2a6921f0a6868bb7c5b4c0d18e0">operator&lt;&lt;</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;os, const <a class="el" href="../../da/d5a/class_complex.html">Complex</a> &amp;num)</td></tr>
<tr class="memdesc:af738b2a6921f0a6868bb7c5b4c0d18e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator overload of '&lt;&lt;' of ostream for <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. Overloaded insersion operator to accommodate the printing of our complex number in their standard form. <a href="../../d5/d67/complex__numbers_8cpp.html#af738b2a6921f0a6868bb7c5b4c0d18e0">More...</a><br /></td></tr>
<tr class="separator:af738b2a6921f0a6868bb7c5b4c0d18e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5d4d5b8250b50703de888514c8e7a7a0"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a> ()</td></tr>
<tr class="memitem:a5d4d5b8250b50703de888514c8e7a7a0"><td class="memItemLeft" align="right" valign="top"><a id="a5d4d5b8250b50703de888514c8e7a7a0"></a>
double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a> ()</td></tr>
<tr class="memdesc:a5d4d5b8250b50703de888514c8e7a7a0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to get random numbers to generate our complex numbers for test. <br /></td></tr>
<tr class="separator:a5d4d5b8250b50703de888514c8e7a7a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</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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@@ -129,34 +137,10 @@ Functions</h2></td></tr>
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</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section author"><dt>Author</dt><dd>tjgurwara99</dd></dl>
<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>
<div class="textblock"><p>An implementation of <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects. </p>
<dl class="section author"><dt>Author</dt><dd>tjgurwara99</dd></dl>
<p>A basic implementation of <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number field as a class with operators overloaded to accommodate (mathematical) field operations. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a5d4d5b8250b50703de888514c8e7a7a0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5d4d5b8250b50703de888514c8e7a7a0">&#9670;&nbsp;</a></span>get_rand()</h2>
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<div class="memproto">
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<td class="memname">double get_rand </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to get random numbers to generate our complex numbers for test </p>
<div class="fragment"><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;{ <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 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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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <a class="code" href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;}</div>
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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>
<p>Operator overload of '&lt;&lt;' of ostream for <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. Overloaded insersion operator to accommodate the printing of our complex number in their standard form. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">os</td><td>The console stream </td></tr>
<tr><td class="paramname">num</td><td>The complex number. </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; {</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; os &lt;&lt; <span class="stringliteral">&quot;(&quot;</span> &lt;&lt; num.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>();</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keywordflow">if</span> (num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() &lt; 0) {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; os &lt;&lt; <span class="stringliteral">&quot; - &quot;</span> &lt;&lt; -num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; os &lt;&lt; <span class="stringliteral">&quot; + &quot;</span> &lt;&lt; num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; }</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; os &lt;&lt; <span class="stringliteral">&quot;i)&quot;</span>;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordflow">return</span> os;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; os &lt;&lt; <span class="stringliteral">&quot;(&quot;</span> &lt;&lt; num.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>();</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="keywordflow">if</span> (num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>() &lt; 0) {</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; os &lt;&lt; <span class="stringliteral">&quot; - &quot;</span> &lt;&lt; -num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; os &lt;&lt; <span class="stringliteral">&quot; + &quot;</span> &lt;&lt; num.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; os &lt;&lt; <span class="stringliteral">&quot;i)&quot;</span>;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordflow">return</span> os;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;}</div>
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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>
<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. Logical Equal overload for our <a class="el" href="../../da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> class. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>Left hand side of our expression </td></tr>
<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>
<dd>
'False' Otherwise. </dd></dl>
<div class="fragment"><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordflow">return</span> a.real() == b.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() &amp;&amp; a.imag() == b.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; {</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keywordflow">return</span> a.real() == b.<a class="code" href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">real</a>() &amp;&amp; a.imag() == b.<a class="code" href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">imag</a>();</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;}</div>
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<p>Tests Function </p>
<div class="fragment"><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; {</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <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>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <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>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <a class="code" href="../../da/d5a/class_complex.html">Complex</a> num1(x1, y1), num2(x2, y2);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> cnum1(x1, y1), cnum2(x2, y2);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <a class="code" href="../../da/d5a/class_complex.html">Complex</a> result;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> expected;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// Test for addition</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; result = num1 + num2;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; expected = cnum1 + cnum2;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;1 + 1i + 1 + 1i is equal to 2 + 2i but the addition doesn&#39;t &quot;</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="stringliteral">&quot;add up \n&quot;</span>,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; 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>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;First test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="comment">// Test for subtraction</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; result = num1 - num2;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; expected = cnum1 - cnum2;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;1 + 1i - 1 - 1i is equal to 0 but the program says &quot;</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="stringliteral">&quot;otherwise. \n&quot;</span>,</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; 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>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Second test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="comment">// Test for multiplication</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; result = num1 * num2;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; expected = cnum1 * cnum2;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) * (1 + 1i) is equal to 2i but the program says &quot;</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="stringliteral">&quot;otherwise. \n&quot;</span>,</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; 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>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Third test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// Test for division</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; result = num1 / num2;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; expected = cnum1 / cnum2;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) / (1 + 1i) is equal to 1 but the program says &quot;</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="stringliteral">&quot;otherwise.\n&quot;</span>,</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; 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>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fourth test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// Test for conjugates</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; result = ~num1;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; expected = std::conj(cnum1);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has a conjugate which is equal to (1 - 1i) but the &quot;</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="stringliteral">&quot;program says otherwise.\n&quot;</span>,</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; 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>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fifth test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="comment">// Test for Argument of our complex number</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has argument PI / 4 but the program differs from &quot;</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="stringliteral">&quot;the std::complex result.\n&quot;</span>,</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; (num1.arg() == std::arg(cnum1))));</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Sixth test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <span class="comment">// Test for absolute value of our complex number</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has absolute value sqrt(2) but the program differs &quot;</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="stringliteral">&quot;from the std::complex result. \n&quot;</span>,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; (num1.abs() == std::abs(cnum1))));</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Seventh test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; {</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <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>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <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>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <a class="code" href="../../da/d5a/class_complex.html">Complex</a> num1(x1, y1), num2(x2, y2);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> cnum1(x1, y1), cnum2(x2, y2);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <a class="code" href="../../da/d5a/class_complex.html">Complex</a> result;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> expected;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="comment">// Test for addition</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; result = num1 + num2;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; expected = cnum1 + cnum2;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;1 + 1i + 1 + 1i is equal to 2 + 2i but the addition doesn&#39;t &quot;</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="stringliteral">&quot;add up \n&quot;</span>,</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; 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>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;First test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="comment">// Test for subtraction</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; result = num1 - num2;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; expected = cnum1 - cnum2;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;1 + 1i - 1 - 1i is equal to 0 but the program says &quot;</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="stringliteral">&quot;otherwise. \n&quot;</span>,</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; 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>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Second test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="comment">// Test for multiplication</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; result = num1 * num2;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; expected = cnum1 * cnum2;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) * (1 + 1i) is equal to 2i but the program says &quot;</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="stringliteral">&quot;otherwise. \n&quot;</span>,</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; 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>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Third test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="comment">// Test for division</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; result = num1 / num2;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; expected = cnum1 / cnum2;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) / (1 + 1i) is equal to 1 but the program says &quot;</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="stringliteral">&quot;otherwise.\n&quot;</span>,</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; 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>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fourth test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="comment">// Test for conjugates</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; result = ~num1;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; expected = std::conj(cnum1);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has a conjugate which is equal to (1 - 1i) but the &quot;</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="stringliteral">&quot;program says otherwise.\n&quot;</span>,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; (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>() &amp;&amp;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; 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>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fifth test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="comment">// Test for Argument of our complex number</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has argument PI / 4 but the program differs from &quot;</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="stringliteral">&quot;the std::complex result.\n&quot;</span>,</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; (num1.arg() == std::arg(cnum1))));</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Sixth test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="comment">// Test for absolute value of our complex number</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;(1 + 1i) has absolute value sqrt(2) but the program differs &quot;</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="stringliteral">&quot;from the std::complex result. \n&quot;</span>,</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; (num1.abs() == std::abs(cnum1))));</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Seventh test passes.\n&quot;</span>;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;}</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>
<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>
<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>
<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>
<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>
<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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