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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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@@ -93,12 +93,11 @@ $(document).ready(function(){initNavTree('d7/d6a/bisection__method_8cpp.html','.
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<div class="summary">
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<a href="#define-members">Macros</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<div class="title">bisection_method.cpp File Reference</div> </div>
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<div class="headertitle"><div class="title">bisection_method.cpp File Reference</div></div>
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</div><!--header-->
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<div class="contents">
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<p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a>
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<p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method" target="_blank">bisection method</a>
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cmath></code><br />
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<code>#include <iostream></code><br />
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@@ -110,17 +109,17 @@ Include dependency graph for bisection_method.cpp:</div>
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</div>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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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:a002b2f4894492820fe708b1b7e7c5e70"><td class="memItemLeft" align="right" valign="top"><a id="a002b2f4894492820fe708b1b7e7c5e70"></a>
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<tr class="memitem:a002b2f4894492820fe708b1b7e7c5e70"><td class="memItemLeft" align="right" valign="top"><a id="a002b2f4894492820fe708b1b7e7c5e70" name="a002b2f4894492820fe708b1b7e7c5e70"></a>
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#define </td><td class="memItemRight" valign="bottom"><b>EPSILON</b>    1e-6</td></tr>
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<tr class="separator:a002b2f4894492820fe708b1b7e7c5e70"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="memItemLeft" align="right" valign="top"><a id="a0a3abbca80bc98e7abcb3ae73abe0f14"></a>
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#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>   50000</td></tr>
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<tr class="memitem:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="memItemLeft" align="right" valign="top"><a id="a0a3abbca80bc98e7abcb3ae73abe0f14" name="a0a3abbca80bc98e7abcb3ae73abe0f14"></a>
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#define </td><td class="memItemRight" valign="bottom"><b>MAX_ITERATIONS</b>   50000</td></tr>
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<tr class="memdesc:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="mdescLeft"> </td><td class="mdescRight">Maximum number of iterations to check. <br /></td></tr>
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<tr class="separator:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="memSeparator" colspan="2"> </td></tr>
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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:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a> (double i)</td></tr>
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<tr class="separator:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memSeparator" colspan="2"> </td></tr>
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@@ -131,14 +130,14 @@ Functions</h2></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </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="textblock"><p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> </p>
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||||
<p>Given two points \(a\) and \(b\) such that \(f(a)<0\) and \(f(b)>0\), then the \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
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||||
<div class="textblock"><p >Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method" target="_blank">bisection method</a> </p>
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||||
<p >Given two points \(a\) and \(b\) such that \(f(a)<0\) and \(f(b)>0\), then the \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
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\[ x_{i+1} = \frac{a_i+b_i}{2} \]
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</p>
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<p> For the next iteration, the interval is selected as: \([a,x]\) if \(x>0\) or \([x,b]\) if \(x<0\). The Process is continued till a close enough approximation is achieved.</p>
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||||
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html" title="Solve the equation using Newton-Raphson method for both real and complex solutions.">newton_raphson_method.cpp</a>, <a class="el" href="../../dd/d29/false__position_8cpp.html" title="Solve the equation using false position method, also known as the Secant method.">false_position.cpp</a>, secant_method.cpp </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a2003b5b2dcfff0769b957ab5c968b03d"></a>
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<a id="a2003b5b2dcfff0769b957ab5c968b03d" name="a2003b5b2dcfff0769b957ab5c968b03d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a2003b5b2dcfff0769b957ab5c968b03d">◆ </a></span>eq()</h2>
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@@ -161,10 +160,10 @@ Functions</h2></td></tr>
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||||
<p>define \(f(x)\) to find root for </p>
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||||
<div class="fragment"><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  {</div>
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||||
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">return</span> (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(i, 3) - (4 * i) - 9); <span class="comment">// original equation</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> }</div>
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||||
<p >define \(f(x)\) to find root for </p>
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<div class="fragment"><div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> {</div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">return</span> (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(i, 3) - (4 * i) - 9); <span class="comment">// original equation</span></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="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
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||||
Here is the call graph for this function:</div>
|
||||
@@ -175,7 +174,7 @@ Here is the call graph for this function:</div>
|
||||
|
||||
</div>
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</div>
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||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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||||
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||||
@@ -190,46 +189,46 @@ Here is the call graph for this function:</div>
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||||
</tr>
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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 name="l00037"></a><span class="lineno"> 37</span>  {</div>
|
||||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordtype">double</span> a = -1, b = 1, x, z;</div>
|
||||
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordtype">int</span> i;</div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
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||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">// loop to find initial intervals a, b</span></div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
|
||||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  z = <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(a);</div>
|
||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  x = <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(b);</div>
|
||||
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(z) == <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(x)) { <span class="comment">// same signs, increase interval</span></div>
|
||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  b++;</div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  a--;</div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  } <span class="keywordflow">else</span> { <span class="comment">// if opposite signs, we got our interval</span></div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  }</div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nFirst initial: "</span> << a;</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nSecond initial: "</span> << b;</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// start iterations</span></div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">for</span> (i = 0; i < <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  x = (a + b) / 2;</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  z = <a class="code" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(x);</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n\nz: "</span> << z << <span class="stringliteral">"\t["</span> << a << <span class="stringliteral">" , "</span> << b</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  << <span class="stringliteral">" | Bisect: "</span> << x << <span class="stringliteral">"]"</span>;</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">if</span> (z < 0) {</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  a = x;</div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  b = x;</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> (std::abs(z) < <a class="code" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af">EPSILON</a>) <span class="comment">// stoping criteria</span></div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
|
||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
|
||||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n\nRoot: "</span> << x << <span class="stringliteral">"\t\tSteps: "</span> << i << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> }</div>
|
||||
<p >main function </p>
|
||||
<div class="fragment"><div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> {</div>
|
||||
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordtype">double</span> a = -1, b = 1, x, z;</div>
|
||||
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">int</span> i;</div>
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// loop to find initial intervals a, b</span></div>
|
||||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code hl_define" href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
|
||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> z = <a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(a);</div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> x = <a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(b);</div>
|
||||
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(z) == <a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(x)) { <span class="comment">// same signs, increase interval</span></div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> b++;</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> a--;</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> } <span class="keywordflow">else</span> { <span class="comment">// if opposite signs, we got our interval</span></div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
|
||||
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
|
||||
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</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">"\nFirst initial: "</span> << a;</div>
|
||||
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</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">"\nSecond initial: "</span> << b;</div>
|
||||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// start iterations</span></div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</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>
|
||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> x = (a + b) / 2;</div>
|
||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> z = <a class="code hl_function" href="../../d7/d6a/bisection__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(x);</div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</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">"\n\nz: "</span> << z << <span class="stringliteral">"\t["</span> << a << <span class="stringliteral">" , "</span> << b</div>
|
||||
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> << <span class="stringliteral">" | Bisect: "</span> << x << <span class="stringliteral">"]"</span>;</div>
|
||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
|
||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">if</span> (z < 0) {</div>
|
||||
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> a = x;</div>
|
||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> b = x;</div>
|
||||
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
|
||||
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
|
||||
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">if</span> (std::abs(z) < <a class="code hl_variable" href="../../de/dd3/newton__raphson__method_8cpp.html#a75f355966e0a97665eaf5a4c79baa7af">EPSILON</a>) <span class="comment">// stoping criteria</span></div>
|
||||
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
|
||||
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
|
||||
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</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">"\n\nRoot: "</span> << x << <span class="stringliteral">"\t\tSteps: "</span> << i << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</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="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> bisection_method.cpp:22</div></div>
|
||||
<div class="ttc" id="abisection__method_8cpp_html_a1ab31b90bc584c635ec159468ceed9b2"><div class="ttname"><a href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a></div><div class="ttdeci">int sgn(T val)</div><div class="ttdef"><b>Definition:</b> bisection_method.cpp:32</div></div>
|
||||
@@ -245,7 +244,7 @@ Here is the call graph for this function:</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a1ab31b90bc584c635ec159468ceed9b2"></a>
|
||||
<a id="a1ab31b90bc584c635ec159468ceed9b2" name="a1ab31b90bc584c635ec159468ceed9b2"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a1ab31b90bc584c635ec159468ceed9b2">◆ </a></span>sgn()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
@@ -262,10 +261,10 @@ template<typename T > </div>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>get the sign of any given number </p>
|
||||
<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  {</div>
|
||||
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">return</span> (T(0) < val) - (val < T(0));</div>
|
||||
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> }</div>
|
||||
<p >get the sign of any given number </p>
|
||||
<div class="fragment"><div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> {</div>
|
||||
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">return</span> (T(0) < val) - (val < T(0));</div>
|
||||
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>}</div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
@@ -275,7 +274,7 @@ template<typename T > </div>
|
||||
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