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<div class="headertitle"><div class="title">babylonian_method.cpp File Reference</div></div>
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<p><a href="https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method" target="_blank">A babylonian method (BM)</a> is an algorithm that computes the square root.
<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;iostream&gt;</code><br />
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Include dependency graph for babylonian_method.cpp:</div>
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<p><a href="../../dc/d9c/babylonian__method_8cpp_source.html">Go to the source code of this file.</a></p>
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></td></tr>
<tr class="memdesc:d1/de0/namespacenumerical__methods"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
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<tr class="memitem:a28e67885f8606564cc8335f483f63309" id="r_a28e67885f8606564cc8335f483f63309"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309">numerical_methods::babylonian_method</a> (double radicand)</td></tr>
<tr class="memdesc:a28e67885f8606564cc8335f483f63309"><td class="mdescLeft">&#160;</td><td class="mdescRight">Babylonian methods is an iterative function which returns square root of radicand. <br /></td></tr>
<tr class="separator:a28e67885f8606564cc8335f483f63309"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memdesc:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method" target="_blank">A babylonian method (BM)</a> is an algorithm that computes the square root. </p>
<p>This algorithm has an application in use case scenario where a user wants find accurate square roots of large numbers </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ameyachawlaggsipu" target="_blank">Ameya Chawla</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../dc/d9c/babylonian__method_8cpp_source.html">babylonian_method.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abf9e6b7e6f15df4b525a2e7705ba3089">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>argc</em></span>, </td>
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<td class="paramkey"></td>
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<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) calls automated test function to test the working of fast fourier transform. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dc/d9c/babylonian__method_8cpp_source.html#l00096">96</a> of file <a class="el" href="../../dc/d9c/babylonian__method_8cpp_source.html">babylonian_method.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 98</span> <span class="comment">// with 2 defined test cases</span></div>
<div class="line"><span class="lineno"> 99</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 100</span>}</div>
<div class="ttc" id="ababylonian__method_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.</div><div class="ttdef"><b>Definition</b> <a href="../../dc/d9c/babylonian__method_8cpp_source.html#l00062">babylonian_method.cpp:62</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p>Self-test implementations. </p>
<p>Declaring two test cases and checking for the error in predicted and true value is less than 0.0001. </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p>Testcase 1</p>
<p>Testcase 2</p>
<p>Real Output 1</p>
<p>Real Output 2</p>
<p>Test result for testcase 1</p>
<p>Test result for testcase 2</p>
<p>Testing for test Case 1</p>
<p>Testing for test Case 2</p>
<p class="definition">Definition at line <a class="el" href="../../dc/d9c/babylonian__method_8cpp_source.html#l00062">62</a> of file <a class="el" href="../../dc/d9c/babylonian__method_8cpp_source.html">babylonian_method.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
<div class="line"><span class="lineno"> 63</span> <span class="comment">/* descriptions of the following test */</span></div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <span class="keyword">auto</span> testcase1 = 125348; </div>
<div class="line"><span class="lineno"> 66</span> <span class="keyword">auto</span> testcase2 = 752080; </div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> <span class="keyword">auto</span> real_output1 = 354.045194855; </div>
<div class="line"><span class="lineno"> 69</span> <span class="keyword">auto</span> real_output2 = 867.225460881; </div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <span class="keyword">auto</span> test_result1 = <a class="code hl_function" href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309">numerical_methods::babylonian_method</a>(testcase1);</div>
<div class="line"><span class="lineno"> 73</span> <span class="keyword">auto</span> test_result2 = <a class="code hl_function" href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309">numerical_methods::babylonian_method</a>(testcase2);</div>
<div class="line"><span class="lineno"> 75</span> </div>
<div class="line"><span class="lineno"> 76</span> assert(std::max(test_result1, real_output1) -</div>
<div class="line"><span class="lineno"> 77</span> std::min(test_result1, real_output1) &lt;</div>
<div class="line"><span class="lineno"> 78</span> 0.0001);</div>
<div class="line"><span class="lineno"> 80</span> assert(std::max(test_result2, real_output2) -</div>
<div class="line"><span class="lineno"> 81</span> std::min(test_result2, real_output2) &lt;</div>
<div class="line"><span class="lineno"> 82</span> 0.0001);</div>
<div class="line"><span class="lineno"> 84</span> </div>
<div class="line"><span class="lineno"> 85</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 86</span>}</div>
<div class="ttc" id="anamespacenumerical__methods_html_a28e67885f8606564cc8335f483f63309"><div class="ttname"><a href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309">numerical_methods::babylonian_method</a></div><div class="ttdeci">double babylonian_method(double radicand)</div><div class="ttdoc">Babylonian methods is an iterative function which returns square root of radicand.</div><div class="ttdef"><b>Definition</b> <a href="../../dc/d9c/babylonian__method_8cpp_source.html#l00030">babylonian_method.cpp:30</a></div></div>
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