Documentation for 6376bf46af
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<title>Algorithms_in_C++: numerical_methods/brent_method_extrema.cpp File Reference</title>
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@@ -119,32 +119,32 @@ Include dependency graph for brent_method_extrema.cpp:</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="define-members" name="define-members"></a>
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Macros</h2></td></tr>
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<tr class="memitem:a525335710b53cb064ca56b936120431e"><td class="memItemLeft" align="right" valign="top"><a id="a525335710b53cb064ca56b936120431e" name="a525335710b53cb064ca56b936120431e"></a>
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<tr class="memitem:a525335710b53cb064ca56b936120431e" id="r_a525335710b53cb064ca56b936120431e"><td class="memItemLeft" align="right" valign="top"><a id="a525335710b53cb064ca56b936120431e" name="a525335710b53cb064ca56b936120431e"></a>
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#define </td><td class="memItemRight" valign="bottom"><b>_USE_MATH_DEFINES</b></td></tr>
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<tr class="memdesc:a525335710b53cb064ca56b936120431e"><td class="mdescLeft"> </td><td class="mdescRight">required for MS Visual C++ <br /></td></tr>
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<tr class="separator:a525335710b53cb064ca56b936120431e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a002b2f4894492820fe708b1b7e7c5e70"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></td></tr>
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<tr class="memdesc:a002b2f4894492820fe708b1b7e7c5e70"><td class="mdescLeft"> </td><td class="mdescRight">system accuracy limit <br /></td></tr>
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||||
<tr class="memitem:a002b2f4894492820fe708b1b7e7c5e70" id="r_a002b2f4894492820fe708b1b7e7c5e70"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></td></tr>
|
||||
<tr class="memdesc:a002b2f4894492820fe708b1b7e7c5e70"><td class="mdescLeft"> </td><td class="mdescRight">system accuracy limit/*#end#*‍/ <br /></td></tr>
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<tr class="separator:a002b2f4894492820fe708b1b7e7c5e70"><td class="memSeparator" colspan="2"> </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>
|
||||
<tr class="memitem:a1aa76a6d5fd4d333f9072beff1dc486b"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>< double(double)> &f, double lim_a, double lim_b)</td></tr>
|
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<tr class="memitem:a1aa76a6d5fd4d333f9072beff1dc486b" id="r_a1aa76a6d5fd4d333f9072beff1dc486b"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>< double(double)> &f, double lim_a, double lim_b)</td></tr>
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||||
<tr class="memdesc:a1aa76a6d5fd4d333f9072beff1dc486b"><td class="mdescLeft"> </td><td class="mdescRight">Get the real root of a function in the given interval. <br /></td></tr>
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<tr class="separator:a1aa76a6d5fd4d333f9072beff1dc486b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a> ()</td></tr>
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<tr class="memitem:a1440a7779ac56f47a3f355ce4a8c7da0" id="r_a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a> ()</td></tr>
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<tr class="memdesc:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="mdescLeft"> </td><td class="mdescRight">Test function to find root for the function \(f(x)= (x-2)^2\) in the interval \([1,5]\) <br />
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Expected result = 2. <br /></td></tr>
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<tr class="separator:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
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<tr class="memitem:a0283886819c7c140a023582b7269e2d0" id="r_a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
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<tr class="memdesc:a0283886819c7c140a023582b7269e2d0"><td class="mdescLeft"> </td><td class="mdescRight">Test function to find root for the function \(f(x)= x^{\frac{1}{x}}\) in the interval \([-2,10]\) <br />
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Expected result: \(e\approx 2.71828182845904509\). <br /></td></tr>
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<tr class="separator:a0283886819c7c140a023582b7269e2d0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6d0455dd5c30adda100e95f0423c786e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a> ()</td></tr>
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<tr class="memitem:a6d0455dd5c30adda100e95f0423c786e" id="r_a6d0455dd5c30adda100e95f0423c786e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a> ()</td></tr>
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<tr class="memdesc:a6d0455dd5c30adda100e95f0423c786e"><td class="mdescLeft"> </td><td class="mdescRight">Test function to find <em>maxima</em> for the function \(f(x)= \cos x\) in the interval \([0,12]\) <br />
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Expected result: \(\pi\approx 3.14159265358979312\). <br /></td></tr>
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<tr class="separator:a6d0455dd5c30adda100e95f0423c786e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d01/brent__method__extrema_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="../../db/d01/brent__method__extrema_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="ttc" id="anumeric_limits_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/numeric_limits.html">std::numeric_limits</a></div></div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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</div><!-- fragment -->
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<p>system accuracy limit </p>
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<p>system accuracy limit/*#end#*‍/ </p>
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</div>
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</div>
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<div class="line"><span class="lineno"> 134</span> <span class="keywordflow">return</span> x;</div>
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<div class="line"><span class="lineno"> 135</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::cerr</a></div></div>
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<div class="ttc" id="abrent__method__extrema_8cpp_html_a002b2f4894492820fe708b1b7e7c5e70"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></div><div class="ttdeci">#define EPSILON</div><div class="ttdoc">system accuracy limit</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:23</div></div>
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<div class="ttc" id="abrent__method__extrema_8cpp_html_a002b2f4894492820fe708b1b7e7c5e70"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></div><div class="ttdeci">#define EPSILON</div><div class="ttdoc">system accuracy limit/*#end#*/</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:23</div></div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a4251b4df4748a0b9c43a48f61bdd2397"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a4251b4df4748a0b9c43a48f61bdd2397">numerical_methods::simpson_method::f</a></div><div class="ttdeci">double f(double x)</div><div class="ttdoc">A function f(x) that will be used to test the method.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:113</div></div>
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<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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@@ -114,11 +114,11 @@ Include dependency graph for spiral_print.cpp:</div>
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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:acfff36db81326fb990a643ab198ee8a5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d07/spiral__print_8cpp.html#acfff36db81326fb990a643ab198ee8a5">genArray</a> (int **a, int r, int c)</td></tr>
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<tr class="memitem:acfff36db81326fb990a643ab198ee8a5" id="r_acfff36db81326fb990a643ab198ee8a5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d07/spiral__print_8cpp.html#acfff36db81326fb990a643ab198ee8a5">genArray</a> (int **a, int r, int c)</td></tr>
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<tr class="memitem:a850d3f55e1a8d227176cdcc67352c197"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d07/spiral__print_8cpp.html#a850d3f55e1a8d227176cdcc67352c197">spiralPrint</a> (int **a, int r, int c)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d07/spiral__print_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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<ul>
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<li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../db/d07/spiral__print_8cpp.html">spiral_print.cpp</a></li>
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</body>
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@@ -1,5 +1,5 @@
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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@@ -40,8 +40,8 @@
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<div class="line"><span class="lineno"> 54</span> }</div>
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<tr class="memitem:d7/daf/namespace_knapsack"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/daf/namespace_knapsack.html">Knapsack</a></td></tr>
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<tr class="memdesc:d7/daf/namespace_knapsack"><td class="mdescLeft"> </td><td class="mdescRight">Implementation of 0-1 <a class="el" href="../../d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a15edf30f336885e5b851f6b7199c6cd1"><td class="memTemplParams" colspan="2">template<size_t n> </td></tr>
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<tr class="memdesc:a15edf30f336885e5b851f6b7199c6cd1"><td class="mdescLeft"> </td><td class="mdescRight">Picking up all those items whose combined weight is below the given capacity and calculating the value of those picked items. Trying all possible combinations will yield the maximum knapsack value. <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d16/0__1__knapsack_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Function to test the above algorithm. <br /></td></tr>
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<tr class="memitem:dd/d47/namespacemath"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memdesc:de/d36/namespacen__bonacci"><td class="mdescLeft"> </td><td class="mdescRight">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a6849b68f760be628d5975ab3eddec63d"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< uint64_t > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d27/n__bonacci_8cpp.html#a6849b68f760be628d5975ab3eddec63d">math::n_bonacci::N_bonacci</a> (const uint64_t &n, const uint64_t &m)</td></tr>
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<tr class="memdesc:a6849b68f760be628d5975ab3eddec63d"><td class="mdescLeft"> </td><td class="mdescRight">Finds the N-Bonacci series for the <code>n</code> parameter value and <code>m</code> parameter terms. <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d27/n__bonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a746d9a3984bba88fd6dd91978f6931ed"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html#a746d9a3984bba88fd6dd91978f6931ed">show</a> (const struct <a class="el" href="../../d2/d2c/structtower.html">tower</a> *const F, const struct <a class="el" href="../../d2/d2c/structtower.html">tower</a> *const T, const struct <a class="el" href="../../d2/d2c/structtower.html">tower</a> *const U)</td></tr>
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<tr class="memitem:af4cfc41e546f1f8d25f01e0804e8b61d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a> (<a class="el" href="../../d2/d2c/structtower.html">tower</a> *From, <a class="el" href="../../d2/d2c/structtower.html">tower</a> *To)</td></tr>
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<tr class="memitem:af4cfc41e546f1f8d25f01e0804e8b61d" id="r_af4cfc41e546f1f8d25f01e0804e8b61d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a> (<a class="el" href="../../d2/d2c/structtower.html">tower</a> *From, <a class="el" href="../../d2/d2c/structtower.html">tower</a> *To)</td></tr>
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<tr class="memitem:ab037f72a5eac476535a6cfbbcb965417"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">TH</a> (int n, <a class="el" href="../../d2/d2c/structtower.html">tower</a> *From, <a class="el" href="../../d2/d2c/structtower.html">tower</a> *Using, <a class="el" href="../../d2/d2c/structtower.html">tower</a> *To)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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Namespaces</h2></td></tr>
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Functions</h2></td></tr>
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using </td><td class="memItemRight" valign="bottom"><b>math::monte_carlo::Function</b> = <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>< double(double &)></td></tr>
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<tr class="memdesc:a71249ee535f16f8ed2e9cc8f0199a2cf"><td class="mdescLeft"> </td><td class="mdescRight">short-hand for std::functions used in this implementation <br /></td></tr>
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