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@@ -125,16 +127,16 @@ Namespaces</h2></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a85a6ec58b5064d63d4f0df3854496713" id="r_a85a6ec58b5064d63d4f0df3854496713"><td class="memItemLeft" align="right" valign="top">static float </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a> (float x)</td></tr>
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<tr class="memitem:a85a6ec58b5064d63d4f0df3854496713" id="r_a85a6ec58b5064d63d4f0df3854496713"><td class="memItemLeft" align="right" valign="top">static float </td><td class="memItemRight" valign="bottom"><a class="el" href="#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a> (float x)</td></tr>
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<tr class="memdesc:a85a6ec58b5064d63d4f0df3854496713"><td class="mdescLeft"> </td><td class="mdescRight">This function gives the value of f(x) for given x. <br /></td></tr>
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<tr class="separator:a85a6ec58b5064d63d4f0df3854496713"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7d69b49dc37da1c02b3ab8c7fe783494" id="r_a7d69b49dc37da1c02b3ab8c7fe783494"><td class="memItemLeft" align="right" valign="top">static float </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a> (float x1, float x2, float y1, float y2)</td></tr>
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<tr class="memitem:a7d69b49dc37da1c02b3ab8c7fe783494" id="r_a7d69b49dc37da1c02b3ab8c7fe783494"><td class="memItemLeft" align="right" valign="top">static float </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a> (float x1, float x2, float y1, float y2)</td></tr>
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<tr class="memdesc:a7d69b49dc37da1c02b3ab8c7fe783494"><td class="mdescLeft"> </td><td class="mdescRight">This function finds root of the equation in given interval i.e. (x1,x2). <br /></td></tr>
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<tr class="separator:a7d69b49dc37da1c02b3ab8c7fe783494"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a85cb7bfb90abc898e042d624372c5345" id="r_a85cb7bfb90abc898e042d624372c5345"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a> (float root, const int16_t &count)</td></tr>
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<tr class="memitem:a85cb7bfb90abc898e042d624372c5345" id="r_a85cb7bfb90abc898e042d624372c5345"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a> (float root, const int16_t &count)</td></tr>
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<tr class="memdesc:a85cb7bfb90abc898e042d624372c5345"><td class="mdescLeft"> </td><td class="mdescRight">This function prints roots of the equation. <br /></td></tr>
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<tr class="separator:a85cb7bfb90abc898e042d624372c5345"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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@@ -164,8 +166,7 @@ x_{i+1} = \frac{a_i\cdot f(b_i) - b_i\cdot f(a_i)}{f(b_i) - f(a_i)}
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<tr>
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<td class="memname">static float numerical_methods::false_position::eq </td>
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<td>(</td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<td class="paramtype">float</td> <td class="paramname"><span class="paramname"><em>x</em></span></td><td>)</td>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"></span></td><td>)</td>
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<div class="line"><span class="lineno"> 105</span> <span class="keywordtype">float</span> range =</div>
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<div class="line"><span class="lineno"> 106</span> 100000; <span class="comment">// Range in which we have to find the root. (-range,range)</span></div>
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<div class="line"><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>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 108</span> a = <a class="code hl_function" href="#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>((-1) * range);</div>
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<div class="line"><span class="lineno"> 109</span> i = ((-1) * range + gap);</div>
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<div class="line"><span class="lineno"> 110</span> <span class="comment">// while loop for selecting proper interval in provided range and with</span></div>
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<div class="line"><span class="lineno"> 111</span> <span class="comment">// provided interval gap.</span></div>
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<div class="line"><span class="lineno"> 112</span> <span class="keywordflow">while</span> (i <= range) {</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 113</span> b = <a class="code hl_function" href="#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>(i);</div>
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<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">if</span> (b == 0) {</div>
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<div class="line"><span class="lineno"> 115</span> count++;</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 116</span> <a class="code hl_function" href="#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(i, count);</div>
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<div class="line"><span class="lineno"> 117</span> }</div>
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<div class="line"><span class="lineno"> 118</span> <span class="keywordflow">if</span> (a * b < 0) {</div>
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<div class="line"><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>
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||||
<div class="line"><span class="lineno"> 119</span> root = <a class="code hl_function" href="#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a>(i - gap, i,</div>
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<div class="line"><span class="lineno"> 120</span> a, b);</div>
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<div class="line"><span class="lineno"> 121</span> count++;</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 122</span> <a class="code hl_function" href="#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(root, count);</div>
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<div class="line"><span class="lineno"> 123</span> }</div>
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<div class="line"><span class="lineno"> 124</span> a = b;</div>
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<div class="line"><span class="lineno"> 125</span> i += gap;</div>
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<div class="line"><span class="lineno"> 126</span> }</div>
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<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 128</span>}</div>
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<div class="ttc" id="afalse__position_8cpp_html_a7d69b49dc37da1c02b3ab8c7fe783494"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a></div><div class="ttdeci">static float regula_falsi(float x1, float x2, float y1, float y2)</div><div class="ttdoc">This function finds root of the equation in given interval i.e. (x1,x2).</div><div class="ttdef"><b>Definition</b> false_position.cpp:55</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a85a6ec58b5064d63d4f0df3854496713"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a></div><div class="ttdeci">static float eq(float x)</div><div class="ttdoc">This function gives the value of f(x) for given x.</div><div class="ttdef"><b>Definition</b> false_position.cpp:44</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a85cb7bfb90abc898e042d624372c5345"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a></div><div class="ttdeci">void printRoot(float root, const int16_t &count)</div><div class="ttdoc">This function prints roots of the equation.</div><div class="ttdef"><b>Definition</b> false_position.cpp:84</div></div>
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||||
<div class="ttc" id="afalse__position_8cpp_html_a7d69b49dc37da1c02b3ab8c7fe783494"><div class="ttname"><a href="#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a></div><div class="ttdeci">static float regula_falsi(float x1, float x2, float y1, float y2)</div><div class="ttdoc">This function finds root of the equation in given interval i.e. (x1,x2).</div><div class="ttdef"><b>Definition</b> false_position.cpp:55</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a85a6ec58b5064d63d4f0df3854496713"><div class="ttname"><a href="#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a></div><div class="ttdeci">static float eq(float x)</div><div class="ttdoc">This function gives the value of f(x) for given x.</div><div class="ttdef"><b>Definition</b> false_position.cpp:44</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a85cb7bfb90abc898e042d624372c5345"><div class="ttname"><a href="#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a></div><div class="ttdeci">void printRoot(float root, const int16_t &count)</div><div class="ttdoc">This function prints roots of the equation.</div><div class="ttdef"><b>Definition</b> false_position.cpp:84</div></div>
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<tr>
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<td class="memname">void numerical_methods::false_position::printRoot </td>
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<td>(</td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>root</em>, </td>
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<td class="paramtype">float</td> <td class="paramname"><span class="paramname"><em>root</em>, </span></td>
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<td class="paramtype">const int16_t & </td>
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<td class="paramtype">const int16_t &</td> <td class="paramname"><span class="paramname"><em>count</em></span> )</td>
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@@ -313,31 +306,22 @@ Here is the call graph for this function:</div>
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<tr>
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<td class="memname">static float numerical_methods::false_position::regula_falsi </td>
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<td>(</td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>x1</em>, </td>
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<td class="paramtype">float</td> <td class="paramname"><span class="paramname"><em>x1</em>, </span></td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>x2</em>, </td>
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<td class="paramtype">float</td> <td class="paramname"><span class="paramname"><em>x2</em>, </span></td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>y1</em>, </td>
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<td class="paramtype">float </td>
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<td class="paramname"><em>y2</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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<td class="paramtype">float</td> <td class="paramname"><span class="paramname"><em>y2</em></span> )</td>
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<div class="line"><span class="lineno"> 73</span> <span class="keywordtype">float</span> x3 = 0, y3 = 0;</div>
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<div class="line"><span class="lineno"> 74</span> x3 = x1 - (x1 - x2) * (y1) / (y1 - y2);</div>
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<div class="line"><span class="lineno"> 75</span> y3 = <a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(x3);</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#a7d69b49dc37da1c02b3ab8c7fe783494">regula_falsi</a>(x2, x3, y2, y3);</div>
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<div class="line"><span class="lineno"> 77</span>}</div>
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<div class="ttc" id="abisection__method_8cpp_html_a2003b5b2dcfff0769b957ab5c968b03d"><div class="ttname"><a href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a></div><div class="ttdeci">static double eq(double i)</div><div class="ttdef"><b>Definition</b> bisection_method.cpp:26</div></div>
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</div><!-- fragment --><div class="dynheader">
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../dd/d29/false__position_8cpp.html">false_position.cpp</a></li>
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