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realstealthninja
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<title>Algorithms_in_C++: numerical_methods/false_position.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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</tr>
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@@ -120,7 +137,9 @@ Include dependency graph for false_position.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dc/de2/false__position_8cpp__incl.svg" width="178" height="126"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p><a href="../../dd/d29/false__position_8cpp_source.html">Go to the source code of this file.</a></p>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></td></tr>
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@@ -158,6 +177,8 @@ 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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<dl class="section author"><dt>Author</dt><dd>Unknown author </dd>
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<dd>
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<a href="https://github.com/sampatil578" target="_blank">Samruddha Patil</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../dd/d29/false__position_8cpp_source.html">false_position.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a85a6ec58b5064d63d4f0df3854496713" name="a85a6ec58b5064d63d4f0df3854496713"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a85a6ec58b5064d63d4f0df3854496713">◆ </a></span>eq()</h2>
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@@ -190,15 +211,12 @@ 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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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>value of f(x) for given x. </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../dd/d29/false__position_8cpp_source.html#l00044">44</a> of file <a class="el" href="../../dd/d29/false__position_8cpp_source.html">false_position.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
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<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">return</span> (x * x - x); <span class="comment">// original equation</span></div>
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<div class="line"><span class="lineno"> 46</span>}</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d29/false__position_8cpp_a85a6ec58b5064d63d4f0df3854496713_cgraph.svg" width="154" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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@@ -218,6 +236,8 @@ Here is the call graph for this function:</div>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../dd/d29/false__position_8cpp_source.html#l00102">102</a> of file <a class="el" href="../../dd/d29/false__position_8cpp_source.html">false_position.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
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<div class="line"><span class="lineno"> 103</span> <span class="keywordtype">float</span> a = 0, b = 0, i = 0, root = 0;</div>
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<div class="line"><span class="lineno"> 104</span> int16_t count = 0;</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="#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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<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> <a href="../../dd/d29/false__position_8cpp_source.html#l00055">false_position.cpp:55</a></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> <a href="../../dd/d29/false__position_8cpp_source.html#l00044">false_position.cpp:44</a></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> <a href="../../dd/d29/false__position_8cpp_source.html#l00084">false_position.cpp:84</a></div></div>
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@@ -278,25 +298,20 @@ Here is the call graph for this function:</div>
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<p class="definition">Definition at line <a class="el" href="../../dd/d29/false__position_8cpp_source.html#l00084">84</a> of file <a class="el" href="../../dd/d29/false__position_8cpp_source.html">false_position.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
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<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">if</span> (count == 1) {</div>
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<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Your 1st root is : "</span> << root << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 86</span> std::cout << <span class="stringliteral">"Your 1st root is : "</span> << root << std::endl;</div>
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<div class="line"><span class="lineno"> 87</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (count == 2) {</div>
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<div class="line"><span class="lineno"> 88</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Your 2nd root is : "</span> << root << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 88</span> std::cout << <span class="stringliteral">"Your 2nd root is : "</span> << root << std::endl;</div>
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<div class="line"><span class="lineno"> 89</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (count == 3) {</div>
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<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Your 3rd root is : "</span> << root << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 90</span> std::cout << <span class="stringliteral">"Your 3rd root is : "</span> << root << std::endl;</div>
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<div class="line"><span class="lineno"> 91</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Your "</span> << count << <span class="stringliteral">"th root is : "</span> << root << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 92</span> std::cout << <span class="stringliteral">"Your "</span> << count << <span class="stringliteral">"th root is : "</span> << root << std::endl;</div>
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<div class="line"><span class="lineno"> 93</span> }</div>
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<div class="line"><span class="lineno"> 94</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d29/false__position_8cpp_a85cb7bfb90abc898e042d624372c5345_cgraph.svg" width="292" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a7d69b49dc37da1c02b3ab8c7fe783494" name="a7d69b49dc37da1c02b3ab8c7fe783494"></a>
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@@ -345,6 +360,8 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>root of the equation in the given interval. </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../dd/d29/false__position_8cpp_source.html#l00055">55</a> of file <a class="el" href="../../dd/d29/false__position_8cpp_source.html">false_position.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">float</span> diff = x1 - x2;</div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (diff < 0) {</div>
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@@ -368,13 +385,8 @@ Here is the call graph for this function:</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="#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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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d29/false__position_8cpp_a7d69b49dc37da1c02b3ab8c7fe783494_cgraph.svg" width="376" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></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> <a href="../../d7/d6a/bisection__method_8cpp_source.html#l00026">bisection_method.cpp:26</a></div></div>
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