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<div class="headertitle"><div class="title">babylonian_method.cpp</div></div>
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<a href="../../dc/d9c/babylonian__method_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a> {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309"> 30</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d1/de0/namespacenumerical__methods.html#a28e67885f8606564cc8335f483f63309">babylonian_method</a>(<span class="keywordtype">double</span> radicand) {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">int</span> i = 1; </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">while</span> (i * i &lt;= radicand) {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> i++;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> }</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> i--; </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">double</span> x0 = i; </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">double</span> x1 =</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> (radicand / x0 + x0) / 2; </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">double</span> temp = NAN; </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">while</span> (std::max(x0, x1) - std::min(x0, x1) &lt; 0.0001) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> temp = (radicand / x1 + x1) / 2; </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> x0 = x1;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> x1 = temp;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">return</span> x1; </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>}</div>
</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>} <span class="comment">// namespace numerical_methods</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span></div>
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../dc/d9c/babylonian__method_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 62</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dc/d9c/babylonian__method_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">/* descriptions of the following test */</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">auto</span> testcase1 = 125348; </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">auto</span> testcase2 = 752080; </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">auto</span> real_output1 = 354.045194855; </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">auto</span> real_output2 = 867.225460881; </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><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"><a id="l00073" name="l00073"></a><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"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> assert(std::max(test_result1, real_output1) -</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> std::min(test_result1, real_output1) &lt;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> 0.0001);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> assert(std::max(test_result2, real_output2) -</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> std::min(test_result2, real_output2) &lt;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> 0.0001);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><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"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span>}</div>
</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="../../dc/d9c/babylonian__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 94</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dc/d9c/babylonian__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_function" href="../../dc/d9c/babylonian__method_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// with 2 defined test cases</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span>}</div>
</div>
<div class="ttc" id="ababylonian__method_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dc/d9c/babylonian__method_8cpp.html#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="#l00062">babylonian_method.cpp:62</a></div></div>
<div class="ttc" id="ababylonian__method_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dc/d9c/babylonian__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function calls automated test function to test the working of fast fourier transform.</div><div class="ttdef"><b>Definition</b> <a href="#l00094">babylonian_method.cpp:94</a></div></div>
<div class="ttc" id="anamespacenumerical__methods_html"><div class="ttname"><a href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></div><div class="ttdoc">for assert</div></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="#l00030">babylonian_method.cpp:30</a></div></div>
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