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Documentation for c6af943508
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realstealthninja
@@ -115,13 +115,14 @@ $(function(){initNavTree('db/d01/brent__method__extrema_8cpp.html','../../'); in
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <cmath></code><br />
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<code>#include <cstdint></code><br />
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<code>#include <functional></code><br />
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<code>#include <iostream></code><br />
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<code>#include <limits></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for brent_method_extrema.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d0e/brent__method__extrema_8cpp__incl.svg" width="431" 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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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d0e/brent__method__extrema_8cpp__incl.svg" width="515" 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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</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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@@ -179,9 +180,9 @@ Functions</h2></td></tr>
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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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<div class="fragment"><div class="line"><span class="lineno"> 23</span><span class="preprocessor">#define EPSILON \</span></div>
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<div class="line"><span class="lineno"> 24</span><span class="preprocessor"> std::sqrt( \</span></div>
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<div class="line"><span class="lineno"> 25</span><span class="preprocessor"> std::numeric_limits<double>::epsilon()) </span><span class="comment">///< system accuracy limit</span></div>
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<div class="fragment"><div class="line"><span class="lineno"> 24</span><span class="preprocessor">#define EPSILON \</span></div>
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<div class="line"><span class="lineno"> 25</span><span class="preprocessor"> std::sqrt( \</span></div>
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<div class="line"><span class="lineno"> 26</span><span class="preprocessor"> std::numeric_limits<double>::epsilon()) </span><span class="comment">///< system accuracy limit</span></div>
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</div><!-- fragment -->
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</div>
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</div>
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@@ -220,108 +221,108 @@ Functions</h2></td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>root found in the interval </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 36</span> {</div>
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<div class="line"><span class="lineno"> 37</span> uint32_t iters = 0;</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">if</span> (lim_a > lim_b) {</div>
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<div class="line"><span class="lineno"> 40</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(lim_a, lim_b);</div>
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<div class="line"><span class="lineno"> 41</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::abs(lim_a - lim_b) <= <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>) {</div>
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<div class="line"><span class="lineno"> 42</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Search range must be greater than "</span> << <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> lim_a;</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<div class="line"><span class="lineno"> 45</span> </div>
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<div class="line"><span class="lineno"> 46</span> <span class="comment">// golden ratio value</span></div>
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<div class="line"><span class="lineno"> 47</span> <span class="keyword">const</span> <span class="keywordtype">double</span> M_GOLDEN_RATIO = (3.f - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(5.f)) / 2.f;</div>
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<div class="line"><span class="lineno"> 48</span> </div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordtype">double</span> v = lim_a + M_GOLDEN_RATIO * (lim_b - lim_a);</div>
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<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">double</span> u, w = v, x = v;</div>
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<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">double</span> fu, fv = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a4251b4df4748a0b9c43a48f61bdd2397">f</a>(v);</div>
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<div class="line"><span class="lineno"> 52</span> <span class="keywordtype">double</span> fw = fv, fx = fv;</div>
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<div class="line"><span class="lineno"> 53</span> </div>
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<div class="line"><span class="lineno"> 54</span> <span class="keywordtype">double</span> mid_point = (lim_a + lim_b) / 2.f;</div>
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<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">double</span> p = 0, q = 0, r = 0;</div>
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<div class="line"><span class="lineno"> 56</span> </div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordtype">double</span> d, e = 0;</div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordtype">double</span> tolerance, tolerance2;</div>
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<div class="line"><span class="lineno"> 59</span> </div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">do</span> {</div>
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<div class="line"><span class="lineno"> 61</span> mid_point = (lim_a + lim_b) / 2.f;</div>
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<div class="line"><span class="lineno"> 62</span> tolerance = <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> * std::abs(x);</div>
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<div class="line"><span class="lineno"> 63</span> tolerance2 = 2 * tolerance;</div>
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<div class="line"><span class="lineno"> 64</span> </div>
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<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (std::abs(e) > tolerance2) {</div>
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<div class="line"><span class="lineno"> 66</span> <span class="comment">// fit parabola</span></div>
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<div class="line"><span class="lineno"> 67</span> r = (x - w) * (fx - fv);</div>
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<div class="line"><span class="lineno"> 68</span> q = (x - v) * (fx - fw);</div>
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<div class="line"><span class="lineno"> 69</span> p = (x - v) * q - (x - w) * r;</div>
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<div class="line"><span class="lineno"> 70</span> q = 2.f * (q - r);</div>
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<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">if</span> (q > 0)</div>
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<div class="line"><span class="lineno"> 72</span> p = -p;</div>
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<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 74</span> q = -q;</div>
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<div class="line"><span class="lineno"> 75</span> r = e;</div>
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<div class="line"><span class="lineno"> 76</span> e = d;</div>
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<div class="line"><span class="lineno"> 77</span> }</div>
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<div class="line"><span class="lineno"> 78</span> </div>
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<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">if</span> (std::abs(p) < std::abs(0.5 * q * r) && p < q * (lim_b - x)) {</div>
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<div class="line"><span class="lineno"> 80</span> <span class="comment">// parabolic interpolation step</span></div>
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<div class="line"><span class="lineno"> 81</span> d = p / q;</div>
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<div class="line"><span class="lineno"> 82</span> u = x + d;</div>
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<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">if</span> (u - lim_a < tolerance2 || lim_b - u < tolerance2)</div>
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<div class="line"><span class="lineno"> 84</span> d = x < mid_point ? tolerance : -tolerance;</div>
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<div class="line"><span class="lineno"> 85</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 86</span> <span class="comment">// golden section interpolation step</span></div>
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<div class="line"><span class="lineno"> 87</span> e = (x < mid_point ? lim_b : lim_a) - x;</div>
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<div class="line"><span class="lineno"> 88</span> d = M_GOLDEN_RATIO * e;</div>
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<div class="line"><span class="lineno"> 89</span> }</div>
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<div class="line"><span class="lineno"> 90</span> </div>
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<div class="line"><span class="lineno"> 91</span> <span class="comment">// evaluate not too close to x</span></div>
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<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">if</span> (std::abs(d) >= tolerance)</div>
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<div class="line"><span class="lineno"> 93</span> u = d;</div>
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<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (d > 0)</div>
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<div class="line"><span class="lineno"> 95</span> u = tolerance;</div>
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<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 97</span> u = -tolerance;</div>
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<div class="line"><span class="lineno"> 98</span> u += x;</div>
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<div class="line"><span class="lineno"> 99</span> fu = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a4251b4df4748a0b9c43a48f61bdd2397">f</a>(u);</div>
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<div class="line"><span class="lineno"> 100</span> </div>
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<div class="line"><span class="lineno"> 101</span> <span class="comment">// update variables</span></div>
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<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">if</span> (fu <= fx) {</div>
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<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">if</span> (u < x)</div>
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<div class="line"><span class="lineno"> 104</span> lim_b = x;</div>
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<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 106</span> lim_a = x;</div>
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<div class="line"><span class="lineno"> 107</span> v = w;</div>
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<div class="line"><span class="lineno"> 108</span> fv = fw;</div>
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<div class="line"><span class="lineno"> 109</span> w = x;</div>
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<div class="line"><span class="lineno"> 110</span> fw = fx;</div>
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<div class="line"><span class="lineno"> 111</span> x = u;</div>
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<div class="line"><span class="lineno"> 112</span> fx = fu;</div>
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<div class="line"><span class="lineno"> 113</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">if</span> (u < x)</div>
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<div class="line"><span class="lineno"> 115</span> lim_a = u;</div>
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<div class="line"><span class="lineno"> 116</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 117</span> lim_b = u;</div>
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<div class="line"><span class="lineno"> 118</span> <span class="keywordflow">if</span> (fu <= fw || x == w) {</div>
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<div class="line"><span class="lineno"> 119</span> v = w;</div>
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<div class="line"><span class="lineno"> 120</span> fv = fw;</div>
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<div class="line"><span class="lineno"> 121</span> w = u;</div>
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<div class="line"><span class="lineno"> 122</span> fw = fu;</div>
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<div class="line"><span class="lineno"> 123</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (fu <= fv || v == x || v == w) {</div>
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<div class="line"><span class="lineno"> 124</span> v = u;</div>
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<div class="line"><span class="lineno"> 125</span> fv = fu;</div>
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<div class="line"><span class="lineno"> 126</span> }</div>
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<div class="line"><span class="lineno"> 127</span> }</div>
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<div class="line"><span class="lineno"> 128</span> </div>
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<div class="line"><span class="lineno"> 129</span> iters++;</div>
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<div class="line"><span class="lineno"> 130</span> } <span class="keywordflow">while</span> (std::abs(x - mid_point) > (tolerance - (lim_b - lim_a) / 2.f));</div>
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<div class="line"><span class="lineno"> 131</span> </div>
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<div class="line"><span class="lineno"> 132</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">" (iters: "</span> << iters << <span class="stringliteral">") "</span>;</div>
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<div class="line"><span class="lineno"> 133</span> </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="fragment"><div class="line"><span class="lineno"> 37</span> {</div>
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<div class="line"><span class="lineno"> 38</span> uint32_t iters = 0;</div>
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<div class="line"><span class="lineno"> 39</span> </div>
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<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (lim_a > lim_b) {</div>
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<div class="line"><span class="lineno"> 41</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(lim_a, lim_b);</div>
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<div class="line"><span class="lineno"> 42</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::abs(lim_a - lim_b) <= <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>) {</div>
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<div class="line"><span class="lineno"> 43</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Search range must be greater than "</span> << <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> lim_a;</div>
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<div class="line"><span class="lineno"> 45</span> }</div>
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<div class="line"><span class="lineno"> 46</span> </div>
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<div class="line"><span class="lineno"> 47</span> <span class="comment">// golden ratio value</span></div>
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<div class="line"><span class="lineno"> 48</span> <span class="keyword">const</span> <span class="keywordtype">double</span> M_GOLDEN_RATIO = (3.f - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(5.f)) / 2.f;</div>
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<div class="line"><span class="lineno"> 49</span> </div>
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<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">double</span> v = lim_a + M_GOLDEN_RATIO * (lim_b - lim_a);</div>
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<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">double</span> u, w = v, x = v;</div>
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<div class="line"><span class="lineno"> 52</span> <span class="keywordtype">double</span> fu, fv = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a4251b4df4748a0b9c43a48f61bdd2397">f</a>(v);</div>
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<div class="line"><span class="lineno"> 53</span> <span class="keywordtype">double</span> fw = fv, fx = fv;</div>
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<div class="line"><span class="lineno"> 54</span> </div>
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<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">double</span> mid_point = (lim_a + lim_b) / 2.f;</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">double</span> p = 0, q = 0, r = 0;</div>
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<div class="line"><span class="lineno"> 57</span> </div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordtype">double</span> d, e = 0;</div>
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<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">double</span> tolerance, tolerance2;</div>
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<div class="line"><span class="lineno"> 60</span> </div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">do</span> {</div>
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<div class="line"><span class="lineno"> 62</span> mid_point = (lim_a + lim_b) / 2.f;</div>
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<div class="line"><span class="lineno"> 63</span> tolerance = <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a> * std::abs(x);</div>
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<div class="line"><span class="lineno"> 64</span> tolerance2 = 2 * tolerance;</div>
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<div class="line"><span class="lineno"> 65</span> </div>
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<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (std::abs(e) > tolerance2) {</div>
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<div class="line"><span class="lineno"> 67</span> <span class="comment">// fit parabola</span></div>
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||||
<div class="line"><span class="lineno"> 68</span> r = (x - w) * (fx - fv);</div>
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||||
<div class="line"><span class="lineno"> 69</span> q = (x - v) * (fx - fw);</div>
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<div class="line"><span class="lineno"> 70</span> p = (x - v) * q - (x - w) * r;</div>
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<div class="line"><span class="lineno"> 71</span> q = 2.f * (q - r);</div>
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<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (q > 0)</div>
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<div class="line"><span class="lineno"> 73</span> p = -p;</div>
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||||
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 75</span> q = -q;</div>
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<div class="line"><span class="lineno"> 76</span> r = e;</div>
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<div class="line"><span class="lineno"> 77</span> e = d;</div>
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||||
<div class="line"><span class="lineno"> 78</span> }</div>
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<div class="line"><span class="lineno"> 79</span> </div>
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<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (std::abs(p) < std::abs(0.5 * q * r) && p < q * (lim_b - x)) {</div>
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||||
<div class="line"><span class="lineno"> 81</span> <span class="comment">// parabolic interpolation step</span></div>
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||||
<div class="line"><span class="lineno"> 82</span> d = p / q;</div>
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||||
<div class="line"><span class="lineno"> 83</span> u = x + d;</div>
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||||
<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">if</span> (u - lim_a < tolerance2 || lim_b - u < tolerance2)</div>
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<div class="line"><span class="lineno"> 85</span> d = x < mid_point ? tolerance : -tolerance;</div>
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||||
<div class="line"><span class="lineno"> 86</span> } <span class="keywordflow">else</span> {</div>
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||||
<div class="line"><span class="lineno"> 87</span> <span class="comment">// golden section interpolation step</span></div>
|
||||
<div class="line"><span class="lineno"> 88</span> e = (x < mid_point ? lim_b : lim_a) - x;</div>
|
||||
<div class="line"><span class="lineno"> 89</span> d = M_GOLDEN_RATIO * e;</div>
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<div class="line"><span class="lineno"> 90</span> }</div>
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||||
<div class="line"><span class="lineno"> 91</span> </div>
|
||||
<div class="line"><span class="lineno"> 92</span> <span class="comment">// evaluate not too close to x</span></div>
|
||||
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">if</span> (std::abs(d) >= tolerance)</div>
|
||||
<div class="line"><span class="lineno"> 94</span> u = d;</div>
|
||||
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (d > 0)</div>
|
||||
<div class="line"><span class="lineno"> 96</span> u = tolerance;</div>
|
||||
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">else</span></div>
|
||||
<div class="line"><span class="lineno"> 98</span> u = -tolerance;</div>
|
||||
<div class="line"><span class="lineno"> 99</span> u += x;</div>
|
||||
<div class="line"><span class="lineno"> 100</span> fu = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a4251b4df4748a0b9c43a48f61bdd2397">f</a>(u);</div>
|
||||
<div class="line"><span class="lineno"> 101</span> </div>
|
||||
<div class="line"><span class="lineno"> 102</span> <span class="comment">// update variables</span></div>
|
||||
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">if</span> (fu <= fx) {</div>
|
||||
<div class="line"><span class="lineno"> 104</span> <span class="keywordflow">if</span> (u < x)</div>
|
||||
<div class="line"><span class="lineno"> 105</span> lim_b = x;</div>
|
||||
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">else</span></div>
|
||||
<div class="line"><span class="lineno"> 107</span> lim_a = x;</div>
|
||||
<div class="line"><span class="lineno"> 108</span> v = w;</div>
|
||||
<div class="line"><span class="lineno"> 109</span> fv = fw;</div>
|
||||
<div class="line"><span class="lineno"> 110</span> w = x;</div>
|
||||
<div class="line"><span class="lineno"> 111</span> fw = fx;</div>
|
||||
<div class="line"><span class="lineno"> 112</span> x = u;</div>
|
||||
<div class="line"><span class="lineno"> 113</span> fx = fu;</div>
|
||||
<div class="line"><span class="lineno"> 114</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><span class="lineno"> 115</span> <span class="keywordflow">if</span> (u < x)</div>
|
||||
<div class="line"><span class="lineno"> 116</span> lim_a = u;</div>
|
||||
<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">else</span></div>
|
||||
<div class="line"><span class="lineno"> 118</span> lim_b = u;</div>
|
||||
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">if</span> (fu <= fw || x == w) {</div>
|
||||
<div class="line"><span class="lineno"> 120</span> v = w;</div>
|
||||
<div class="line"><span class="lineno"> 121</span> fv = fw;</div>
|
||||
<div class="line"><span class="lineno"> 122</span> w = u;</div>
|
||||
<div class="line"><span class="lineno"> 123</span> fw = fu;</div>
|
||||
<div class="line"><span class="lineno"> 124</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (fu <= fv || v == x || v == w) {</div>
|
||||
<div class="line"><span class="lineno"> 125</span> v = u;</div>
|
||||
<div class="line"><span class="lineno"> 126</span> fv = fu;</div>
|
||||
<div class="line"><span class="lineno"> 127</span> }</div>
|
||||
<div class="line"><span class="lineno"> 128</span> }</div>
|
||||
<div class="line"><span class="lineno"> 129</span> </div>
|
||||
<div class="line"><span class="lineno"> 130</span> iters++;</div>
|
||||
<div class="line"><span class="lineno"> 131</span> } <span class="keywordflow">while</span> (std::abs(x - mid_point) > (tolerance - (lim_b - lim_a) / 2.f));</div>
|
||||
<div class="line"><span class="lineno"> 132</span> </div>
|
||||
<div class="line"><span class="lineno"> 133</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">" (iters: "</span> << iters << <span class="stringliteral">") "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 134</span> </div>
|
||||
<div class="line"><span class="lineno"> 135</span> <span class="keywordflow">return</span> x;</div>
|
||||
<div class="line"><span class="lineno"> 136</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::cerr</a></div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a002b2f4894492820fe708b1b7e7c5e70"><div class="ttname"><a href="#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>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a002b2f4894492820fe708b1b7e7c5e70"><div class="ttname"><a href="#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:24</div></div>
|
||||
<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>
|
||||
<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>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
@@ -347,21 +348,21 @@ Here is the call graph for this function:</div>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Main function </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 204</span> {</div>
|
||||
<div class="line"><span class="lineno"> 205</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>.precision(18);</div>
|
||||
<div class="line"><span class="lineno"> 206</span> </div>
|
||||
<div class="line"><span class="lineno"> 207</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">"Computations performed with machine epsilon: "</span> << <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></div>
|
||||
<div class="line"><span class="lineno"> 208</span> << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 209</span> </div>
|
||||
<div class="line"><span class="lineno"> 210</span> <a class="code hl_function" href="#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>();</div>
|
||||
<div class="line"><span class="lineno"> 211</span> <a class="code hl_function" href="#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
|
||||
<div class="line"><span class="lineno"> 212</span> <a class="code hl_function" href="#a6d0455dd5c30adda100e95f0423c786e">test3</a>();</div>
|
||||
<div class="line"><span class="lineno"> 213</span> </div>
|
||||
<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><span class="lineno"> 215</span>}</div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:165</div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result = 2.</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:143</div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdoc">Test function to find maxima for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:188</div></div>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 205</span> {</div>
|
||||
<div class="line"><span class="lineno"> 206</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>.precision(18);</div>
|
||||
<div class="line"><span class="lineno"> 207</span> </div>
|
||||
<div class="line"><span class="lineno"> 208</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">"Computations performed with machine epsilon: "</span> << <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></div>
|
||||
<div class="line"><span class="lineno"> 209</span> << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 210</span> </div>
|
||||
<div class="line"><span class="lineno"> 211</span> <a class="code hl_function" href="#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>();</div>
|
||||
<div class="line"><span class="lineno"> 212</span> <a class="code hl_function" href="#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
|
||||
<div class="line"><span class="lineno"> 213</span> <a class="code hl_function" href="#a6d0455dd5c30adda100e95f0423c786e">test3</a>();</div>
|
||||
<div class="line"><span class="lineno"> 214</span> </div>
|
||||
<div class="line"><span class="lineno"> 215</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><span class="lineno"> 216</span>}</div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:166</div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result = 2.</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:144</div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdoc">Test function to find maxima for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:189</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
@@ -387,22 +388,22 @@ Here is the call graph for this function:</div>
|
||||
|
||||
<p>Test function to find root for the function \(f(x)= (x-2)^2\) in the interval \([1,5]\) <br />
|
||||
Expected result = 2. </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 143</span> {</div>
|
||||
<div class="line"><span class="lineno"> 144</span> <span class="comment">// define the function to minimize as a lambda function</span></div>
|
||||
<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> f1 = [](<span class="keywordtype">double</span> x) {</div>
|
||||
<div class="line"><span class="lineno"> 146</span> <span class="keywordflow">return</span> (x - 2) * (x - 2);</div>
|
||||
<div class="line"><span class="lineno"> 147</span> };</div>
|
||||
<div class="line"><span class="lineno"> 148</span> </div>
|
||||
<div class="line"><span class="lineno"> 149</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">"Test 1.... "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 150</span> </div>
|
||||
<div class="line"><span class="lineno"> 151</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(f1, -1, 5);</div>
|
||||
<div class="line"><span class="lineno"> 152</span> </div>
|
||||
<div class="line"><span class="lineno"> 153</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">"..."</span>;</div>
|
||||
<div class="line"><span class="lineno"> 154</span> </div>
|
||||
<div class="line"><span class="lineno"> 155</span> assert(std::abs(minima - 2) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
|
||||
<div class="line"><span class="lineno"> 156</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">"passed\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 157</span>}</div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1aa76a6d5fd4d333f9072beff1dc486b"><div class="ttname"><a href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a></div><div class="ttdeci">double get_minima(const std::function< double(double)> &f, double lim_a, double lim_b)</div><div class="ttdoc">Get the real root of a function in the given interval.</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:35</div></div>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 144</span> {</div>
|
||||
<div class="line"><span class="lineno"> 145</span> <span class="comment">// define the function to minimize as a lambda function</span></div>
|
||||
<div class="line"><span class="lineno"> 146</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> f1 = [](<span class="keywordtype">double</span> x) {</div>
|
||||
<div class="line"><span class="lineno"> 147</span> <span class="keywordflow">return</span> (x - 2) * (x - 2);</div>
|
||||
<div class="line"><span class="lineno"> 148</span> };</div>
|
||||
<div class="line"><span class="lineno"> 149</span> </div>
|
||||
<div class="line"><span class="lineno"> 150</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">"Test 1.... "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 151</span> </div>
|
||||
<div class="line"><span class="lineno"> 152</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(f1, -1, 5);</div>
|
||||
<div class="line"><span class="lineno"> 153</span> </div>
|
||||
<div class="line"><span class="lineno"> 154</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">"..."</span>;</div>
|
||||
<div class="line"><span class="lineno"> 155</span> </div>
|
||||
<div class="line"><span class="lineno"> 156</span> assert(std::abs(minima - 2) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
|
||||
<div class="line"><span class="lineno"> 157</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">"passed\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 158</span>}</div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1aa76a6d5fd4d333f9072beff1dc486b"><div class="ttname"><a href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a></div><div class="ttdeci">double get_minima(const std::function< double(double)> &f, double lim_a, double lim_b)</div><div class="ttdoc">Get the real root of a function in the given interval.</div><div class="ttdef"><b>Definition</b> brent_method_extrema.cpp:36</div></div>
|
||||
<div class="ttc" id="afunction_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a></div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
@@ -429,22 +430,22 @@ Here is the call graph for this function:</div>
|
||||
|
||||
<p>Test function to find root for the function \(f(x)= x^{\frac{1}{x}}\) in the interval \([-2,10]\) <br />
|
||||
Expected result: \(e\approx 2.71828182845904509\). </p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 165</span> {</div>
|
||||
<div class="line"><span class="lineno"> 166</span> <span class="comment">// define the function to maximize as a lambda function</span></div>
|
||||
<div class="line"><span class="lineno"> 167</span> <span class="comment">// since we are maximixing, we negated the function return value</span></div>
|
||||
<div class="line"><span class="lineno"> 168</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> func = [](<span class="keywordtype">double</span> x) {</div>
|
||||
<div class="line"><span class="lineno"> 169</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>(x, 1.f / x);</div>
|
||||
<div class="line"><span class="lineno"> 170</span> };</div>
|
||||
<div class="line"><span class="lineno"> 171</span> </div>
|
||||
<div class="line"><span class="lineno"> 172</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">"Test 2.... "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 173</span> </div>
|
||||
<div class="line"><span class="lineno"> 174</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(func, -2, 5);</div>
|
||||
<div class="line"><span class="lineno"> 175</span> </div>
|
||||
<div class="line"><span class="lineno"> 176</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">" ("</span> << M_E << <span class="stringliteral">")..."</span>;</div>
|
||||
<div class="line"><span class="lineno"> 177</span> </div>
|
||||
<div class="line"><span class="lineno"> 178</span> assert(std::abs(minima - M_E) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
|
||||
<div class="line"><span class="lineno"> 179</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">"passed\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 180</span>}</div>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 166</span> {</div>
|
||||
<div class="line"><span class="lineno"> 167</span> <span class="comment">// define the function to maximize as a lambda function</span></div>
|
||||
<div class="line"><span class="lineno"> 168</span> <span class="comment">// since we are maximixing, we negated the function return value</span></div>
|
||||
<div class="line"><span class="lineno"> 169</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> func = [](<span class="keywordtype">double</span> x) {</div>
|
||||
<div class="line"><span class="lineno"> 170</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>(x, 1.f / x);</div>
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<div class="line"><span class="lineno"> 171</span> };</div>
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<div class="line"><span class="lineno"> 172</span> </div>
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<div class="line"><span class="lineno"> 173</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">"Test 2.... "</span>;</div>
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<div class="line"><span class="lineno"> 174</span> </div>
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<div class="line"><span class="lineno"> 175</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(func, -2, 5);</div>
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<div class="line"><span class="lineno"> 176</span> </div>
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<div class="line"><span class="lineno"> 177</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">" ("</span> << M_E << <span class="stringliteral">")..."</span>;</div>
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<div class="line"><span class="lineno"> 178</span> </div>
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<div class="line"><span class="lineno"> 179</span> assert(std::abs(minima - M_E) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
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<div class="line"><span class="lineno"> 180</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">"passed\n"</span>;</div>
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<div class="line"><span class="lineno"> 181</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>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -471,20 +472,20 @@ Here is the call graph for this function:</div>
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<p>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: \(\pi\approx 3.14159265358979312\). </p>
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<div class="fragment"><div class="line"><span class="lineno"> 188</span> {</div>
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<div class="line"><span class="lineno"> 189</span> <span class="comment">// define the function to maximize as a lambda function</span></div>
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<div class="line"><span class="lineno"> 190</span> <span class="comment">// since we are maximixing, we negated the function return value</span></div>
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<div class="line"><span class="lineno"> 191</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> func = [](<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(x); };</div>
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<div class="line"><span class="lineno"> 192</span> </div>
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<div class="line"><span class="lineno"> 193</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">"Test 3.... "</span>;</div>
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<div class="line"><span class="lineno"> 194</span> </div>
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<div class="line"><span class="lineno"> 195</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(func, -4, 12);</div>
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<div class="line"><span class="lineno"> 196</span> </div>
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<div class="line"><span class="lineno"> 197</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">" ("</span> << M_PI << <span class="stringliteral">")..."</span>;</div>
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||||
<div class="line"><span class="lineno"> 198</span> </div>
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||||
<div class="line"><span class="lineno"> 199</span> assert(std::abs(minima - M_PI) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
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<div class="line"><span class="lineno"> 200</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">"passed\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 201</span>}</div>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 189</span> {</div>
|
||||
<div class="line"><span class="lineno"> 190</span> <span class="comment">// define the function to maximize as a lambda function</span></div>
|
||||
<div class="line"><span class="lineno"> 191</span> <span class="comment">// since we are maximixing, we negated the function return value</span></div>
|
||||
<div class="line"><span class="lineno"> 192</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><double(<span class="keywordtype">double</span>)> func = [](<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(x); };</div>
|
||||
<div class="line"><span class="lineno"> 193</span> </div>
|
||||
<div class="line"><span class="lineno"> 194</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">"Test 3.... "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 195</span> </div>
|
||||
<div class="line"><span class="lineno"> 196</span> <span class="keywordtype">double</span> minima = <a class="code hl_function" href="#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a>(func, -4, 12);</div>
|
||||
<div class="line"><span class="lineno"> 197</span> </div>
|
||||
<div class="line"><span class="lineno"> 198</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minima << <span class="stringliteral">" ("</span> << M_PI << <span class="stringliteral">")..."</span>;</div>
|
||||
<div class="line"><span class="lineno"> 199</span> </div>
|
||||
<div class="line"><span class="lineno"> 200</span> assert(std::abs(minima - M_PI) < <a class="code hl_define" href="#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a>);</div>
|
||||
<div class="line"><span class="lineno"> 201</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">"passed\n"</span>;</div>
|
||||
<div class="line"><span class="lineno"> 202</span>}</div>
|
||||
<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>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
|
||||
Reference in New Issue
Block a user