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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.h</div> </div>
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<a href="Math_8h.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">#pragma once</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include <random></span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>  </div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="keyword">namespace </span><a class="code" href="namespaceEule.html">Eule</a></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> {</div>
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<div class="line"><a name="l00008"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html"> 8</a></span>  <span class="keyword">class </span><a class="code" href="classEule_1_1Math.html">Math</a></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="keyword">public</span>:</div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a991c620839f5fa9fcfe7e503b8ab0008">Max</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <span class="keywordtype">double</span> b);</div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#aa4d3c52cb09984ec567a9961ff7e3f02">Min</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <span class="keywordtype">double</span> b);</div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a73947ee95912f0a06359fc5004bfc840">Clamp</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> v, <span class="keyword">const</span> <span class="keywordtype">double</span> min, <span class="keyword">const</span> <span class="keywordtype">double</span> max);</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="l00021"></a><span class="lineno"> 21</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a991f62401991014de20aca0fda9f9ef7">Lerp</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> t);</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="l00024"></a><span class="lineno"> 24</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#ab9ccf4aa730ef825faf224445c86ab25">Abs</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a);</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  [[nodiscard]] <span class="keyword">static</span> constexpr <span class="keywordtype">bool</span> <a class="code" href="classEule_1_1Math.html#ac928b1e9cde5ac60f5fdc1ba466305ff">Similar</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> epsilon = 0.00001);</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Random</a>();</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26">RandomUint</a>();</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="l00036"></a><span class="lineno"> 36</span>  <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60">RandomInt</a>();</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a48ca8451f9803ce35d2a35cfb83d8ae9">RandomRange</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> min, <span class="keyword">const</span> <span class="keywordtype">double</span> max);</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#adfc55be8cb68aba351374f045f29a2ad">RandomIntRange</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> max, <span class="keyword">const</span> <span class="keywordtype">int</span> min);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classEule_1_1Math.html#a60bffec38a861b7701fc90bd6f1a11d6">RandomChance</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> chance);</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="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a1b0fb72c51751470f7f819b20a5b3b3f">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="l00054"></a><span class="lineno"> 54</span>  </div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> InitRng();</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">static</span> std::mt19937 rng;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">static</span> <span class="keywordtype">bool</span> isRngInitialized;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// No instanciation! >:(</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="classEule_1_1Math.html">Math</a>();</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>  </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"> 68</span>  <span class="comment">/* These are just the inline methods. They have to lie in the header file. */</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">/* The more sophisticated methods are in the .cpp */</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
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<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a991c620839f5fa9fcfe7e503b8ab0008"> 71</a></span>  constexpr <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a991c620839f5fa9fcfe7e503b8ab0008">Math::Max</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b)</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"> 73</span>  <span class="keywordflow">return</span> (a > b) ? a : b;</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>  </div>
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<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#aa4d3c52cb09984ec567a9961ff7e3f02"> 76</a></span>  constexpr <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#aa4d3c52cb09984ec567a9961ff7e3f02">Math::Min</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b)</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>  <span class="keywordflow">return</span> (a < b) ? a : b;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
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<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a73947ee95912f0a06359fc5004bfc840"> 81</a></span>  constexpr <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a73947ee95912f0a06359fc5004bfc840">Math::Clamp</a>(<span class="keywordtype">double</span> v, <span class="keywordtype">double</span> min, <span class="keywordtype">double</span> max)</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  {</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> <a class="code" href="classEule_1_1Math.html#a991c620839f5fa9fcfe7e503b8ab0008">Max</a>(<a class="code" href="classEule_1_1Math.html#aa4d3c52cb09984ec567a9961ff7e3f02">Min</a>(v, max), min);</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
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<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a991f62401991014de20aca0fda9f9ef7"> 86</a></span>  constexpr <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a991f62401991014de20aca0fda9f9ef7">Math::Lerp</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> t)</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  {</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> it = 1.0 - t;</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">return</span> (a * it) + (b * t);</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
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<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#ab9ccf4aa730ef825faf224445c86ab25"> 92</a></span>  <span class="keyword">inline</span> constexpr <span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#ab9ccf4aa730ef825faf224445c86ab25">Math::Abs</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a)</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  {</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">return</span> (a > 0.0) ? a : -a;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">inline</span> constexpr <span class="keywordtype">bool</span> Math::Math::Similar(<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> epsilon)</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  {</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">return</span> Abs(a - b) <= epsilon;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> }</div>
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</div><!-- fragment --></div><!-- contents -->
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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_ab9ccf4aa730ef825faf224445c86ab25"><div class="ttname"><a href="classEule_1_1Math.html#ab9ccf4aa730ef825faf224445c86ab25">Eule::Math::Abs</a></div><div class="ttdeci">static constexpr double Abs(const double a)</div><div class="ttdoc">Will return the absolute value of a</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00092">Math.h:92</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="aclassEule_1_1Math_html_a991f62401991014de20aca0fda9f9ef7"><div class="ttname"><a href="classEule_1_1Math.html#a991f62401991014de20aca0fda9f9ef7">Eule::Math::Lerp</a></div><div class="ttdeci">static constexpr double Lerp(double a, double b, double t)</div><div class="ttdoc">Will return the linear interpolation between a and b by t</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00086">Math.h:86</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="aclassEule_1_1Math_html_a991c620839f5fa9fcfe7e503b8ab0008"><div class="ttname"><a href="classEule_1_1Math.html#a991c620839f5fa9fcfe7e503b8ab0008">Eule::Math::Max</a></div><div class="ttdeci">static constexpr double Max(const double a, const double b)</div><div class="ttdoc">Will return the bigger of two values.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00071">Math.h:71</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html"><div class="ttname"><a href="classEule_1_1Math.html">Eule::Math</a></div><div class="ttdoc">Math utility class.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00008">Math.h:8</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_a73947ee95912f0a06359fc5004bfc840"><div class="ttname"><a href="classEule_1_1Math.html#a73947ee95912f0a06359fc5004bfc840">Eule::Math::Clamp</a></div><div class="ttdeci">static constexpr double Clamp(const double v, const double min, const double max)</div><div class="ttdoc">Will return v, but at least min, and at most max</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00081">Math.h:81</a></div></div>
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<div class="ttc" id="aclassEule_1_1Math_html_aa4d3c52cb09984ec567a9961ff7e3f02"><div class="ttname"><a href="classEule_1_1Math.html#aa4d3c52cb09984ec567a9961ff7e3f02">Eule::Math::Min</a></div><div class="ttdeci">static constexpr double Min(const double a, const double b)</div><div class="ttdoc">Will return the smaller of two values.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8h_source.html#l00076">Math.h:76</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_ac928b1e9cde5ac60f5fdc1ba466305ff"><div class="ttname"><a href="classEule_1_1Math.html#ac928b1e9cde5ac60f5fdc1ba466305ff">Eule::Math::Similar</a></div><div class="ttdeci">static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)</div><div class="ttdoc">Compares two double values with a given accuracy.</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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