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<div class="headertitle"><div class="title">spirograph.cpp</div></div>
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<a href="../../da/d77/spirograph_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#ifdef USE_GLUT</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#ifdef __APPLE__</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;GLUT/glut.h&gt;</span> <span class="comment">// include path on Macs is different</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;GL/glut.h&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#endif </span><span class="comment">// __APPLE__</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="../../da/d77/spirograph_8cpp.html#a525335710b53cb064ca56b936120431e"> 23</a></span><span class="preprocessor">#define _USE_MATH_DEFINES </span><span class="preprocessor"></span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &lt;array&gt;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;ctime&gt;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;fstream&gt;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &lt;iomanip&gt;</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &lt;sstream&gt;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../da/dd3/namespacespirograph.html">spirograph</a> {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="keyword">template</span> &lt;std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="foldopen" id="foldopen00070" data-start="{" data-end="}">
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac"> 70</a></span><span class="keywordtype">void</span> <a class="code hl_namespace" href="../../da/dd3/namespacespirograph.html">spirograph</a>(std::array&lt;std::pair&lt;double, double&gt;, N&gt; *points, <span class="keywordtype">double</span> l,</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordtype">double</span> k, <span class="keywordtype">double</span> rot) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">double</span> dt = rot * 2.f * M_PI / N;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">double</span> R = 1.f;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">const</span> <span class="keywordtype">double</span> k1 = 1.f - k;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> int32_t step = 0;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="preprocessor">#pragma omp for</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">for</span> (step = 0; step &lt; N; step++) {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">double</span> t = dt * step;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordtype">double</span> first = R * (k1 * std::cos(t) + l * k * std::cos(k1 * t / k));</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">double</span> second = R * (k1 * std::sin(t) - l * k * std::sin(k1 * t / k));</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> points[0][step].first = first;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> points[0][step].second = second;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> }</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span>}</div>
</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span></div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99"> 93</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">test</a>() {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> N = 500;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">double</span> l = 0.3, k = 0.75, rot = 10.;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> std::stringstream fname;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> fname &lt;&lt; std::setw(3) &lt;&lt; <span class="stringliteral">&quot;spirograph_&quot;</span> &lt;&lt; l &lt;&lt; <span class="stringliteral">&quot;_&quot;</span> &lt;&lt; k &lt;&lt; <span class="stringliteral">&quot;_&quot;</span> &lt;&lt; rot</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> &lt;&lt; <span class="stringliteral">&quot;.csv&quot;</span>;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> std::ofstream fp(fname.str());</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">if</span> (!fp.is_open()) {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> perror(fname.str().c_str());</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> exit(EXIT_FAILURE);</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::array&lt;std::pair&lt;double, double&gt;, N&gt; points;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_namespace" href="../../da/dd3/namespacespirograph.html">spirograph</a>(&amp;points, l, k, rot);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> fp &lt;&lt; points[i].first &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> &lt;&lt; points[i].first;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">if</span> (i &lt; N - 1) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> fp &lt;&lt; <span class="charliteral">&#39;\n&#39;</span>;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> fp.close();</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>}</div>
</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="preprocessor">#ifdef USE_GLUT</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="keyword">static</span> <span class="keywordtype">bool</span> paused = 0; </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> animation_speed = 25; </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> step = 0.01; </div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="keyword">static</span> <span class="keywordtype">double</span> l_ratio = step * 10; </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="keyword">static</span> <span class="keywordtype">double</span> k_ratio = step; </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> num_rot = 20.; </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span><span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> glutBitmapString(<span class="keywordtype">void</span> *font, <span class="keywordtype">char</span> *message) {</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordflow">for</span> (<span class="keywordtype">char</span> *ch = message; *ch != <span class="charliteral">&#39;\0&#39;</span>; ch++) glutBitmapCharacter(font, *ch);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span>}</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="keywordtype">void</span> display_graph(<span class="keyword">const</span> std::array&lt;std::pair&lt;double, double&gt;, N&gt; &amp;points,</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">double</span> l, <span class="keywordtype">double</span> k) {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> glClearColor(1.0f, 1.0f, 1.0f,</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> 0.0f); <span class="comment">// Set background color to white and opaque</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> glClear(GL_COLOR_BUFFER_BIT); <span class="comment">// Clear the color buffer (background)</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> glBegin(GL_LINES); <span class="comment">// draw line segments</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> glColor3f(0.f, 0.f, 1.f); <span class="comment">// blue</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> glPointSize(2.f); <span class="comment">// point size in pixels</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i &lt; <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> glVertex2f(points[i - 1].first, points[i - 1].second); <span class="comment">// line from</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> glVertex2f(points[i].first, points[i].second); <span class="comment">// line to</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> glEnd();</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> glColor3f(0.f, 0.f, 0.f);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> std::stringstream buffer;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> buffer &lt;&lt; std::setw(3) &lt;&lt; <span class="stringliteral">&quot;l = &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> glRasterPos2f(-.85, .85);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> glutBitmapString(GLUT_BITMAP_TIMES_ROMAN_24,</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const_cast&lt;</span><span class="keywordtype">char</span> *<span class="keyword">&gt;</span>(buffer.str().c_str()));</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> buffer.str(<span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> buffer.clear();</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> buffer &lt;&lt; std::setw(3) &lt;&lt; <span class="stringliteral">&quot;k = &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> glRasterPos2f(-.85, .70);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> glutBitmapString(GLUT_BITMAP_TIMES_ROMAN_24,</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">const_cast&lt;</span><span class="keywordtype">char</span> *<span class="keyword">&gt;</span>(buffer.str().c_str()));</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> glutSwapBuffers();</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span>}</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>() {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 5000; <span class="comment">// number of samples</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> direction1 = <span class="keyword">true</span>; <span class="comment">// increment if true, otherwise decrement</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> direction2 = <span class="keyword">true</span>; <span class="comment">// increment if true, otherwise decrement</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> std::array&lt;std::pair&lt;double, double&gt;, <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>&gt; points;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <a class="code hl_function" href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph</a>(&amp;points, l_ratio, k_ratio, num_rot);</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> display_graph(points, l_ratio, k_ratio);</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordflow">if</span> (paused)</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// if paused, do not update l_ratio and k_ratio</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordflow">if</span> (direction1) { <span class="comment">// increment k_ratio</span></div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">if</span> (k_ratio &gt;= (1.f - step)) <span class="comment">// maximum limit</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> direction1 = <span class="keyword">false</span>; <span class="comment">// reverse direction of k_ratio</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> k_ratio += step;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> } <span class="keywordflow">else</span> { <span class="comment">// decrement k_ratio</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">if</span> (k_ratio &lt;= step) { <span class="comment">// minimum limit</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> direction1 = <span class="keyword">true</span>; <span class="comment">// reverse direction of k_ratio</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">if</span> (direction2) { <span class="comment">// increment l_ratio</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordflow">if</span> (l_ratio &gt;= (1.f - step)) <span class="comment">// max limit of l_ratio</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> direction2 = <span class="keyword">false</span>; <span class="comment">// reverse direction of l_ratio</span></div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> l_ratio += step;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> } <span class="keywordflow">else</span> { <span class="comment">// decrement l_ratio</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">if</span> (l_ratio &lt;= step) <span class="comment">// minimum limit of l_ratio</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> direction2 = <span class="keyword">true</span>; <span class="comment">// reverse direction of l_ratio</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> l_ratio -= step;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> } <span class="keywordflow">else</span> { <span class="comment">// no min limit of k_ratio</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> k_ratio -= step;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span>}</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span></div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="keywordtype">void</span> timer_cb(<span class="keywordtype">int</span> t) {</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> glutTimerFunc(animation_speed, timer_cb, 0);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> glutPostRedisplay();</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span>}</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="keywordtype">void</span> keyboard_cb(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> key, <span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y) {</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">switch</span> (key) {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">case</span> <span class="charliteral">&#39; &#39;</span>: <span class="comment">// spacebar toggles pause</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> paused = !paused; <span class="comment">// toggle</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">case</span> GLUT_KEY_UP:</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">case</span> <span class="charliteral">&#39;+&#39;</span>: <span class="comment">// up arrow key</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> k_ratio += step;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keywordflow">case</span> GLUT_KEY_DOWN:</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">case</span> <span class="charliteral">&#39;_&#39;</span>: <span class="comment">// down arrow key</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> k_ratio -= step;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keywordflow">case</span> GLUT_KEY_RIGHT:</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keywordflow">case</span> <span class="charliteral">&#39;=&#39;</span>: <span class="comment">// left arrow key</span></div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> l_ratio += step;</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keywordflow">case</span> GLUT_KEY_LEFT:</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keywordflow">case</span> <span class="charliteral">&#39;-&#39;</span>: <span class="comment">// right arrow key</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> l_ratio -= step;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keywordflow">case</span> 0x1B: <span class="comment">// escape key exits</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> exit(EXIT_SUCCESS);</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">default</span>:</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> }</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>}</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>} <span class="comment">// namespace spirograph</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span></div>
<div class="foldopen" id="foldopen00268" data-start="{" data-end="}">
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"><a class="line" href="../../da/d77/spirograph_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627"> 268</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> **argv) {</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <a class="code hl_function" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a>();</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span><span class="preprocessor">#ifdef USE_GLUT</span></div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> glutInit(&amp;argc, argv);</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> glutCreateWindow(<span class="stringliteral">&quot;Spirograph&quot;</span>);</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> glutInitWindowSize(400, 400);</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// glutIdleFunc(glutPostRedisplay);</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> glutTimerFunc(spirograph::animation_speed, spirograph::timer_cb, 0);</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> glutKeyboardFunc(spirograph::keyboard_cb);</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> glutDisplayFunc(spirograph::test2);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> glutMainLoop();</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span>}</div>
</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a6d8df83a6f26ce24a75d3b358b7f5b8a"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">numerical_methods::simpson_method::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00119">composite_simpson_rule.cpp:119</a></div></div>
<div class="ttc" id="adsu__path__compression_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a></div><div class="ttdeci">static void test2()</div><div class="ttdoc">Self-implementations, 2nd test.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00187">dsu_path_compression.cpp:187</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
<div class="ttc" id="anamespacespirograph_html"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html">spirograph</a></div></div>
<div class="ttc" id="anamespacespirograph_html_a8e83a64e8443fff1e5ffdc1c299c1e99"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition</b> <a href="#l00093">spirograph.cpp:93</a></div></div>
<div class="ttc" id="anamespacespirograph_html_aeca22dbe4563358960e907a40cd3e1ac"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph::spirograph</a></div><div class="ttdeci">void spirograph(std::array&lt; std::pair&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</div><div class="ttdef"><b>Definition</b> <a href="#l00070">spirograph.cpp:70</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dab/sparse__table_8cpp_source.html#l00048">sparse_table.cpp:48</a></div></div>
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