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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 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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@@ -119,7 +136,9 @@ Include dependency graph for successive_approximation.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/dcc/successive__approximation_8cpp__incl.svg" width="215" 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="../../df/dc8/successive__approximation_8cpp_source.html">Go to the source code of this file.</a></p>
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<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:a79c1d08919ff7780a5d7723172602389" id="r_a79c1d08919ff7780a5d7723172602389"><td class="memItemLeft" align="right" valign="top">static float </td><td class="memItemRight" valign="bottom"><a class="el" href="#a79c1d08919ff7780a5d7723172602389">eq</a> (float y)</td></tr>
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@@ -131,6 +150,8 @@ Functions</h2></td></tr>
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</table>
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||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Method of successive approximations using <a href="https://en.wikipedia.org/wiki/Fixed-point_iteration" target="_blank">fixed-point iteration</a> method. </p>
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||||
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||||
<p class="definition">Definition in file <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html">successive_approximation.cpp</a>.</p>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
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||||
<a id="a79c1d08919ff7780a5d7723172602389" name="a79c1d08919ff7780a5d7723172602389"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a79c1d08919ff7780a5d7723172602389">◆ </a></span>eq()</h2>
|
||||
@@ -157,8 +178,9 @@ 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"><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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||||
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||||
<p class="definition">Definition at line <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html#l00012">12</a> of file <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html">successive_approximation.cpp</a>.</p>
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||||
<div class="fragment"><div class="line"><span class="lineno"> 12</span>{ <span class="keywordflow">return</span> (3 * y) - cos(y) - 2; }</div>
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</div><!-- fragment -->
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||||
</div>
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</div>
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||||
@@ -187,7 +209,9 @@ 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"><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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||||
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||||
<p class="definition">Definition at line <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html#l00017">17</a> of file <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html">successive_approximation.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 17</span>{ <span class="keywordflow">return</span> 0.5 * (cos(y) + 2); }</div>
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</div><!-- fragment -->
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</div>
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</div>
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@@ -206,38 +230,33 @@ 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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||||
|
||||
<p class="definition">Definition at line <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html#l00020">20</a> of file <a class="el" href="../../df/dc8/successive__approximation_8cpp_source.html">successive_approximation.cpp</a>.</p>
|
||||
<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="#a79c1d08919ff7780a5d7723172602389">eq</a>(y);</div>
|
||||
<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"> 26</span> std::cout << <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>
|
||||
<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"> 29</span> std::cout << <span class="stringliteral">"enter the x1->"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 30</span> std::cin >> x1;</div>
|
||||
<div class="line"><span class="lineno"> 31</span> std::cout << <span class="stringliteral">"enter the no iteration to perform->\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 32</span> std::cin >> 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="#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"> 36</span> std::cout << <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="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="asuccessive__approximation_8cpp_html_a79c1d08919ff7780a5d7723172602389"><div class="ttname"><a href="#a79c1d08919ff7780a5d7723172602389">eq</a></div><div class="ttdeci">static float eq(float y)</div><div class="ttdef"><b>Definition</b> successive_approximation.cpp:12</div></div>
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<div class="ttc" id="asuccessive__approximation_8cpp_html_a79c1d08919ff7780a5d7723172602389"><div class="ttname"><a href="#a79c1d08919ff7780a5d7723172602389">eq</a></div><div class="ttdeci">static float eq(float y)</div><div class="ttdef"><b>Definition</b> <a href="../../df/dc8/successive__approximation_8cpp_source.html#l00012">successive_approximation.cpp:12</a></div></div>
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<a href="../../df/dc8/successive__approximation_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="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include <cmath></span></div>
|
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include <iostream></span></div>
|
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
|
||||
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389"> 12</a></span><span class="keyword">static</span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a>(<span class="keywordtype">float</span> y) { <span class="keywordflow">return</span> (3 * y) - cos(y) - 2; }</div>
|
||||
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
|
||||
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456"> 17</a></span><span class="keyword">static</span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a>(<span class="keywordtype">float</span> y) { <span class="keywordflow">return</span> 0.5 * (cos(y) + 2); }</div>
|
||||
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
|
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<div class="foldopen" id="foldopen00020" data-start="{" data-end="}">
|
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"><a class="line" href="../../df/dc8/successive__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 20</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
|
||||
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordtype">float</span> y, x1, x2, x3, sum, s, a, f1, f2, gd;</div>
|
||||
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordtype">int</span> i, n;</div>
|
||||
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
|
||||
<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>
|
||||
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> sum = <a class="code hl_function" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a>(y);</div>
|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> std::cout << <span class="stringliteral">"value of equation at "</span> << i << <span class="stringliteral">" "</span> << sum << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> y++;</div>
|
||||
<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> std::cout << <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> std::cin >> x1;</div>
|
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> std::cout << <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> std::cin >> n;</div>
|
||||
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
|
||||
<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>
|
||||
<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>
|
||||
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> std::cout << <span class="stringliteral">"\nenter the x2->"</span> << x2;</div>
|
||||
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> x1 = x2;</div>
|
||||
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
|
||||
<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>
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<div class="ttc" id="asuccessive__approximation_8cpp_html_a79c1d08919ff7780a5d7723172602389"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a></div><div class="ttdeci">static float eq(float y)</div><div class="ttdef"><b>Definition</b> <a href="#l00012">successive_approximation.cpp:12</a></div></div>
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<div class="ttc" id="asuccessive__approximation_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00020">successive_approximation.cpp:20</a></div></div>
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<div class="ttc" id="asuccessive__approximation_8cpp_html_ae89c36add7c55298c5195d0a83de1456"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a></div><div class="ttdeci">static float eqd(float y)</div><div class="ttdef"><b>Definition</b> <a href="#l00017">successive_approximation.cpp:17</a></div></div>
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