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<div id="projectname">Leonetienne/Eule
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<div id="projectbrief">Homemade math library, mainly targetted towards computer graphics</div>
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<li class="navelem"><a class="el" href="dir_29a3c7679fa29c698d8a016dea7d0b26.html">Eule</a></li> </ul>
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<div class="title">Math.cpp</div> </div>
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<a href="Math_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#include "<a class="code" href="Math_8h.html">Math.h</a>"</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include "<a class="code" href="Constants_8h.html">Constants.h</a>"</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include <array></span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>  </div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="keyword">using namespace </span><a class="code" href="namespaceEule.html">Eule</a>;</div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  </div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Checks if the random number generator is initialized. Does nothing if it is, initializes if it isn't.</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"><a class="line" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370"> 8</a></span> <span class="preprocessor">#define MAKE_SURE_RNG_IS_INITIALIZED if (!isRngInitialized) InitRng();</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="keywordtype">void</span> Math::InitRng()</div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> {</div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  <span class="comment">// Create truly random source (from hardware events)</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  std::random_device randomSource;</div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  </div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="comment">// Generate enough truly random values to populate the entire state of the mersenne twister</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  std::array<int, std::mt19937::state_size> seedValues;</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  std::generate_n(seedValues.data(), seedValues.size(), std::ref(randomSource));</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  std::seed_seq seedSequence(seedValues.begin(), seedValues.end());</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="comment">// Seed the mersenne twister with these values</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  rng = std::mt19937(seedSequence);</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  isRngInitialized = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> }</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// Will return a random double between 0 and 1</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f"> 29</a></span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Math::Random</a>()</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">return</span> (rng() % 694206942069ll) / 694206942069.0;</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> }</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// Will return a random unsigned integer.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26"> 37</a></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26">Math::RandomUint</a>()</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">return</span> rng();</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> }</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Will return a random integer</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60"> 45</a></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60">Math::RandomInt</a>()</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> {</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// Since this is supposed to return a random value anyways,</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// we can let the random uint overflow without any problems.</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">return</span> (<span class="keywordtype">int</span>)rng();</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> }</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// Will return a random double within a range </span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// These bounds are INCLUSIVE!</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a48ca8451f9803ce35d2a35cfb83d8ae9"> 56</a></span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a48ca8451f9803ce35d2a35cfb83d8ae9">Math::RandomRange</a>(<span class="keywordtype">double</span> min, <span class="keywordtype">double</span> max)</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> {</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">return</span> (<a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Random</a>() * (max - min)) + min;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> }</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Will return a random integer within a range. This is faster than '(int)RandomRange(x,y)'</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// These bounds are INCLUSIVE!</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#adfc55be8cb68aba351374f045f29a2ad"> 63</a></span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#adfc55be8cb68aba351374f045f29a2ad">Math::RandomIntRange</a>(<span class="keywordtype">int</span> min, <span class="keywordtype">int</span> max)</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">return</span> (rng() % (max + 1 - min)) + min;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> }</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a1b0fb72c51751470f7f819b20a5b3b3f"> 68</a></span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a1b0fb72c51751470f7f819b20a5b3b3f">Math::Oscillate</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <span class="keywordtype">double</span> b, <span class="keyword">const</span> <span class="keywordtype">double</span> counter, <span class="keyword">const</span> <span class="keywordtype">double</span> speed)</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> {</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> (sin(counter * speed * <a class="code" href="Constants_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a> - <a class="code" href="Constants_8h.html#ae3ec3219e4eee3b0992bfd59c2e2bc42">HALF_PI</a>) * 0.5 + 0.5) * (b-a) + a;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a60bffec38a861b7701fc90bd6f1a11d6"> 73</a></span> <span class="keywordtype">bool</span> <a class="code" href="classEule_1_1Math.html#a60bffec38a861b7701fc90bd6f1a11d6">Math::RandomChance</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> chance)</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> {</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> <a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Random</a>() <= chance;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> std::mt19937 Math::rng;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">bool</span> Math::isRngInitialized = <span class="keyword">true</span>;</div>
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</div><!-- fragment --></div><!-- contents -->
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<div class="ttc" id="aMath_8cpp_html_ac0cae806d3e9a3772f7388dd53cfc370"><div class="ttname"><a href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a></div><div class="ttdeci">#define MAKE_SURE_RNG_IS_INITIALIZED</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00008">Math.cpp:8</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_a60bffec38a861b7701fc90bd6f1a11d6"><div class="ttname"><a href="classEule_1_1Math.html#a60bffec38a861b7701fc90bd6f1a11d6">Eule::Math::RandomChance</a></div><div class="ttdeci">static bool RandomChance(const double chance)</div><div class="ttdoc">Will 'roll' a dice, returning true percent of the time.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00073">Math.cpp:73</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_a48ca8451f9803ce35d2a35cfb83d8ae9"><div class="ttname"><a href="classEule_1_1Math.html#a48ca8451f9803ce35d2a35cfb83d8ae9">Eule::Math::RandomRange</a></div><div class="ttdeci">static double RandomRange(const double min, const double max)</div><div class="ttdoc">Will return a random double within a range These bounds are INCLUSIVE!</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00056">Math.cpp:56</a></div></div>
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<div class="ttc" id="aConstants_8h_html_a598a3330b3c21701223ee0ca14316eca"><div class="ttname"><a href="Constants_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a></div><div class="ttdeci">#define PI</div><div class="ttdoc">Pi up to 50 decimal places.</div><div class="ttdef"><b>Definition:</b> <a href="Constants_8h_source.html#l00006">Constants.h:6</a></div></div>
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<div class="ttc" id="aConstants_8h_html"><div class="ttname"><a href="Constants_8h.html">Constants.h</a></div></div>
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<div class="ttc" id="aConstants_8h_html_ae3ec3219e4eee3b0992bfd59c2e2bc42"><div class="ttname"><a href="Constants_8h.html#ae3ec3219e4eee3b0992bfd59c2e2bc42">HALF_PI</a></div><div class="ttdeci">#define HALF_PI</div><div class="ttdoc">Pi divided by two.</div><div class="ttdef"><b>Definition:</b> <a href="Constants_8h_source.html#l00009">Constants.h:9</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_ab8d66e39e794d89594c50690ccc92c60"><div class="ttname"><a href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60">Eule::Math::RandomInt</a></div><div class="ttdeci">static unsigned int RandomInt()</div><div class="ttdoc">Will return a random integer.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00045">Math.cpp:45</a></div></div>
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<div class="ttc" id="aMath_8h_html"><div class="ttname"><a href="Math_8h.html">Math.h</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_adfc55be8cb68aba351374f045f29a2ad"><div class="ttname"><a href="classEule_1_1Math.html#adfc55be8cb68aba351374f045f29a2ad">Eule::Math::RandomIntRange</a></div><div class="ttdeci">static int RandomIntRange(const int max, const int min)</div><div class="ttdoc">Will return a random integer within a range.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00063">Math.cpp:63</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_a6aa6d6c804f995a089779219e5136e4f"><div class="ttname"><a href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Eule::Math::Random</a></div><div class="ttdeci">static double Random()</div><div class="ttdoc">Will return a random double between 0 and 1</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00029">Math.cpp:29</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_ad38d9a50e08cd02bb35161cc3bd77b26"><div class="ttname"><a href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26">Eule::Math::RandomUint</a></div><div class="ttdeci">static unsigned int RandomUint()</div><div class="ttdoc">Will return a random unsigned integer.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00037">Math.cpp:37</a></div></div>
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<div class="ttc" id="anamespaceEule_html"><div class="ttname"><a href="namespaceEule.html">Eule</a></div><div class="ttdef"><b>Definition:</b> <a href="Collider_8h_source.html#l00004">Collider.h:4</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_a1b0fb72c51751470f7f819b20a5b3b3f"><div class="ttname"><a href="classEule_1_1Math.html#a1b0fb72c51751470f7f819b20a5b3b3f">Eule::Math::Oscillate</a></div><div class="ttdeci">static double Oscillate(const double a, const double b, const double counter, const double speed)</div><div class="ttdoc">Kind of like , but it oscillates over instead of , by a given speed.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00068">Math.cpp:68</a></div></div>
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