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@@ -110,7 +110,7 @@ Include dependency graph for sqrt_double.cpp:</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ae662282ad0740d2063ac404ca3bd74fc"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a> (double <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>)</td></tr>
<tr class="memitem:ae662282ad0740d2063ac404ca3bd74fc"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a> (double a)</td></tr>
<tr class="separator:ae662282ad0740d2063ac404ca3bd74fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
@@ -168,10 +168,10 @@ Here is the call graph for this function:</div>
</div><div class="memdoc">
<p>Bisection method implemented for the function \(x^2-a=0\) whose roots are \(\pm\sqrt{a}\) and only the positive root is returned. </p>
<div class="fragment"><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; {</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> &gt; 0 &amp;&amp; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> &lt; 1) {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; <span class="keywordflow">return</span> 1 / <a class="code" href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a>(1 / <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>);</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; <span class="keywordflow">if</span> (a &gt; 0 &amp;&amp; a &lt; 1) {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; <span class="keywordflow">return</span> 1 / <a class="code" href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a>(1 / a);</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; }</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="keywordtype">double</span> l = 0, r = <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>;</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="keywordtype">double</span> l = 0, r = a;</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <span class="comment">/* Epsilon is the precision.</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"> A great precision is</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment"> between 1e-7 and 1e-12.</span></div>
@@ -180,10 +180,10 @@ Here is the call graph for this function:</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordtype">double</span> epsilon = 1e-12;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keywordflow">while</span> (l &lt;= r) {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordtype">double</span> mid = (l + r) / 2;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keywordflow">if</span> (mid * mid &gt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>) {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keywordflow">if</span> (mid * mid &gt; a) {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; r = mid;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> - mid * mid &lt; epsilon) {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keywordflow">if</span> (a - mid * mid &lt; epsilon) {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">return</span> mid;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; l = mid;</div>
@@ -198,14 +198,13 @@ Here is the call graph for this function:</div>
</div><!-- doc-content -->
<div class="ttc" id="asqrt__double_8cpp_html_ae662282ad0740d2063ac404ca3bd74fc"><div class="ttname"><a href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a></div><div class="ttdeci">double Sqrt(double a)</div><div class="ttdef"><b>Definition:</b> sqrt_double.cpp:16</div></div>
<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>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector&lt; ll &gt; a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
<div class="ttc" id="afixed_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::fixed</a></div><div class="ttdeci">T fixed(T... args)</div></div>
<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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