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realstealthninja
2025-05-19 11:38:33 +00:00
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@@ -4,7 +4,7 @@
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<title>TheAlgorithms/C++: numerical_methods/false_position.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
</table>
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@@ -124,10 +124,10 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
<div class="headertitle"><div class="title">false_position.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../dd/d29/false__position_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>
<a href="../../dd/d29/false__position_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="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &lt;cmath&gt;</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</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="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../df/dea/namespacefalse__position.html">false_position</a> {</div>
<div class="foldopen" id="foldopen00044" data-start="{" data-end="}">
@@ -135,7 +135,7 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> (x * x - x); <span class="comment">// original equation</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>}</div>
</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="foldopen" id="foldopen00055" data-start="{" data-end="}">
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494"> 55</a></span><span class="keyword">static</span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">regula_falsi</a>(<span class="keywordtype">float</span> x1, <span class="keywordtype">float</span> x2, <span class="keywordtype">float</span> y1, <span class="keywordtype">float</span> y2) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">float</span> diff = x1 - x2;</div>
@@ -161,7 +161,7 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">regula_falsi</a>(x2, x3, y2, y3);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span>}</div>
</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span></div>
<div class="foldopen" id="foldopen00084" data-start="{" data-end="}">
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345"> 84</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">printRoot</a>(<span class="keywordtype">float</span> root, <span class="keyword">const</span> int16_t &amp;count) {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (count == 1) {</div>
@@ -177,7 +177,7 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>} <span class="comment">// namespace false_position</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span>} <span class="comment">// namespace numerical_methods</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span></div>
<div class="foldopen" id="foldopen00102" data-start="{" data-end="}">
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"><a class="line" href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 102</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">float</span> a = 0, b = 0, i = 0, root = 0;</div>
@@ -185,21 +185,21 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordtype">float</span> range =</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> 100000; <span class="comment">// Range in which we have to find the root. (-range,range)</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">float</span> gap = 0.5; <span class="comment">// interval gap. lesser the gap more the accuracy</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> a = numerical_methods::false_position::eq((-1) * range);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> a = <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>((-1) * range);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> i = ((-1) * range + gap);</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// while loop for selecting proper interval in provided range and with</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// provided interval gap.</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">while</span> (i &lt;= range) {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> b = numerical_methods::false_position::eq(i);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> b = <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>(i);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (b == 0) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> count++;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> numerical_methods::false_position::printRoot(i, count);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(i, count);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (a * b &lt; 0) {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> root = numerical_methods::false_position::regula_falsi(i - gap, i,</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> root = <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a>(i - gap, i,</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> a, b);</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> count++;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> numerical_methods::false_position::printRoot(root, count);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <a class="code hl_function" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(root, count);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> a = b;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> i += gap;</div>
@@ -219,7 +219,7 @@ $(function(){initNavTree('dd/d29/false__position_8cpp_source.html','../../'); in
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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