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<title>Algorithms_in_C++: numerical_methods/successive_approximation.cpp File Reference</title>
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@@ -30,8 +30,8 @@ MathJax.Hub.Config({
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<div id="projectname">Algorithms_in_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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@@ -41,7 +41,7 @@ MathJax.Hub.Config({
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@@ -145,7 +145,7 @@ Functions</h2></td></tr>
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<p >equation 1 </p><p class="formulaDsp">
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\[f(y) = 3y - \cos y -2\]
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</p>
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<div class="fragment"><div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span>{ <span class="keywordflow">return</span> (3 * y) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) - 2; }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 12</span>{ <span class="keywordflow">return</span> (3 * y) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) - 2; }</div>
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<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
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</div><!-- fragment -->
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</div>
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@@ -176,7 +176,7 @@ Functions</h2></td></tr>
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<p >equation 2 </p><p class="formulaDsp">
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\[f(y) = \frac{\cos y+2}{2}\]
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</p>
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<div class="fragment"><div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span>{ <span class="keywordflow">return</span> 0.5 * (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) + 2); }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 17</span>{ <span class="keywordflow">return</span> 0.5 * (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) + 2); }</div>
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</div><!-- fragment -->
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</div>
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</div>
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@@ -196,27 +196,27 @@ Functions</h2></td></tr>
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</table>
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</div><div class="memdoc">
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<p >Main function </p>
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<div class="fragment"><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"> 21</span> <span class="keywordtype">float</span> y, x1, x2, x3, <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>, s, a, f1, f2, gd;</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordtype">int</span> i, n;</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="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordflow">for</span> (i = 0; i < 10; i++) {</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a>(y);</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</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">"value of equation at "</span> << i << <span class="stringliteral">" "</span> << <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> y++;</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</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">"enter the x1->"</span>;</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> x1;</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</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">"enter the no iteration to perform->\n"</span>;</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> n;</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="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">for</span> (i = 0; i <= n; i++) {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> x2 = <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a>(x1);</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</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">"\nenter the x2->"</span> << x2;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> x1 = x2;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 20</span> {</div>
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<div class="line"><span class="lineno"> 21</span> <span class="keywordtype">float</span> y, x1, x2, x3, <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>, s, a, f1, f2, gd;</div>
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<div class="line"><span class="lineno"> 22</span> <span class="keywordtype">int</span> i, n;</div>
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<div class="line"><span class="lineno"> 23</span> </div>
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<div class="line"><span class="lineno"> 24</span> <span class="keywordflow">for</span> (i = 0; i < 10; i++) {</div>
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<div class="line"><span class="lineno"> 25</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a>(y);</div>
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<div class="line"><span class="lineno"> 26</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">"value of equation at "</span> << i << <span class="stringliteral">" "</span> << <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 27</span> y++;</div>
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<div class="line"><span class="lineno"> 28</span> }</div>
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<div class="line"><span class="lineno"> 29</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">"enter the x1->"</span>;</div>
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<div class="line"><span class="lineno"> 30</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> x1;</div>
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<div class="line"><span class="lineno"> 31</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">"enter the no iteration to perform->\n"</span>;</div>
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<div class="line"><span class="lineno"> 32</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> n;</div>
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<div class="line"><span class="lineno"> 33</span> </div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (i = 0; i <= n; i++) {</div>
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<div class="line"><span class="lineno"> 35</span> x2 = <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a>(x1);</div>
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<div class="line"><span class="lineno"> 36</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">"\nenter the x2->"</span> << x2;</div>
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<div class="line"><span class="lineno"> 37</span> x1 = x2;</div>
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<div class="line"><span class="lineno"> 38</span> }</div>
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<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 40</span>}</div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></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="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T > > &A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:232</div></div>
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@@ -237,7 +237,7 @@ Here is the call graph for this function:</div>
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<ul>
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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="../../df/dc8/successive__approximation_8cpp.html">successive_approximation.cpp</a></li>
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