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realstealthninja
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<title>TheAlgorithms/C++: numerical_methods/newton_raphson_method.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -124,28 +124,28 @@ $(function(){initNavTree('de/dd3/newton__raphson__method_8cpp_source.html','../.
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<div class="headertitle"><div class="title">newton_raphson_method.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<a href="../../de/dd3/newton__raphson__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>
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<a href="../../de/dd3/newton__raphson__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>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <ctime></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af"> 21</a></span><span class="keyword">constexpr</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af">EPSILON</a> = 1e-10; </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a5c5ff05b9f37ae59dad67e1d4f6cd51d"> 22</a></span><span class="keyword">constexpr</span> int16_t <a class="code hl_variable" href="../../de/dd3/newton__raphson__method_8cpp.html#a5c5ff05b9f37ae59dad67e1d4f6cd51d">MAX_ITERATIONS</a> = INT16_MAX; </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af"> 21</a></span><span class="keyword">constexpr</span> <span class="keywordtype">double</span> EPSILON = 1e-10; </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a5c5ff05b9f37ae59dad67e1d4f6cd51d"> 22</a></span><span class="keyword">constexpr</span> int16_t <a class="code hl_define" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a> = INT16_MAX; </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span></div>
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<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d"> 30</a></span><span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(<span class="keywordtype">double</span> i) {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">return</span> (std::pow(i, 3) - (4 * i) - 9); <span class="comment">// original equation</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span>}</div>
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</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span></div>
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<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386"> 40</a></span><span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a>(<span class="keywordtype">double</span> i) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> ((3 * std::pow(i, 2)) - 4); <span class="comment">// derivative of equation</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span></div>
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<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="../../de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 45</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> std::srand(std::time(<span class="keyword">nullptr</span>)); <span class="comment">// initialize randomizer</span></div>
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@@ -156,14 +156,14 @@ $(function(){initNavTree('de/dd3/newton__raphson__method_8cpp_source.html','../.
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> std::cout << <span class="stringliteral">"\nInitial approximation: "</span> << c;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// start iterations</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (i = 0; i < <a class="code hl_variable" href="../../de/dd3/newton__raphson__method_8cpp.html#a5c5ff05b9f37ae59dad67e1d4f6cd51d">MAX_ITERATIONS</a>; i++) {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (i = 0; i < <a class="code hl_define" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> m = <a class="code hl_function" href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(c);</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> n = <a class="code hl_function" href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a>(c);</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> z = c - (m / n);</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> c = z;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">if</span> (std::abs(m) < <a class="code hl_variable" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af">EPSILON</a>) { <span class="comment">// stoping criteria</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">if</span> (std::abs(m) < EPSILON) { <span class="comment">// stoping criteria</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
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@@ -172,10 +172,9 @@ $(function(){initNavTree('de/dd3/newton__raphson__method_8cpp_source.html','../.
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>}</div>
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</div>
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<div class="ttc" id="abisection__method_8cpp_html_a0a3abbca80bc98e7abcb3ae73abe0f14"><div class="ttname"><a href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a></div><div class="ttdeci">#define MAX_ITERATIONS</div><div class="ttdoc">Maximum number of iterations to check.</div><div class="ttdef"><b>Definition</b> <a href="../../d7/d6a/bisection__method_8cpp_source.html#l00022">bisection_method.cpp:22</a></div></div>
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<div class="ttc" id="anewton__raphson__method_8cpp_html_a2003b5b2dcfff0769b957ab5c968b03d"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a></div><div class="ttdeci">static double eq(double i)</div><div class="ttdef"><b>Definition</b> <a href="#l00030">newton_raphson_method.cpp:30</a></div></div>
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<div class="ttc" id="anewton__raphson__method_8cpp_html_a3d3f7f41977394680af6ebbed96f3386"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a></div><div class="ttdeci">static double eq_der(double i)</div><div class="ttdef"><b>Definition</b> <a href="#l00040">newton_raphson_method.cpp:40</a></div></div>
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<div class="ttc" id="anewton__raphson__method_8cpp_html_a5c5ff05b9f37ae59dad67e1d4f6cd51d"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a5c5ff05b9f37ae59dad67e1d4f6cd51d">MAX_ITERATIONS</a></div><div class="ttdeci">constexpr int16_t MAX_ITERATIONS</div><div class="ttdoc">Maximum number of iterations.</div><div class="ttdef"><b>Definition</b> <a href="#l00022">newton_raphson_method.cpp:22</a></div></div>
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<div class="ttc" id="anewton__raphson__method_8cpp_html_a75f355966e0a97665eaf5a4c79baa7af"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af">EPSILON</a></div><div class="ttdeci">constexpr double EPSILON</div><div class="ttdoc">system accuracy limit</div><div class="ttdef"><b>Definition</b> <a href="#l00021">newton_raphson_method.cpp:21</a></div></div>
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<div class="ttc" id="anewton__raphson__method_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00045">newton_raphson_method.cpp:45</a></div></div>
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</div><!-- doc-content -->
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@@ -183,7 +182,7 @@ $(function(){initNavTree('de/dd3/newton__raphson__method_8cpp_source.html','../.
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