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<li class="navelem"><a class="el" href="dir_29a3c7679fa29c698d8a016dea7d0b26.html">Eule</a></li> </ul>
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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>&#160;<span class="preprocessor">#include &quot;<a class="code" href="Math_8h.html">Math.h</a>&quot;</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="Constants_8h.html">Constants.h</a>&quot;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="preprocessor">#include &lt;array&gt;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160; </div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="keyword">using namespace </span><a class="code" href="namespaceEule.html">Eule</a>;</div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160; </div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">// Checks if the random number generator is initialized. Does nothing if it is, initializes if it isn&#39;t.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"><a class="line" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370"> 8</a></span>&#160;<span class="preprocessor">#define MAKE_SURE_RNG_IS_INITIALIZED if (!isRngInitialized) InitRng();</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="keywordtype">void</span> Math::InitRng()</div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;{</div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160; <span class="comment">// Create truly random source (from hardware events)</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; std::random_device randomSource;</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; <span class="comment">// Generate enough truly random values to populate the entire state of the mersenne twister</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; std::array&lt;int, std::mt19937::state_size&gt; seedValues;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; std::generate_n(seedValues.data(), seedValues.size(), std::ref(randomSource));</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; std::seed_seq seedSequence(seedValues.begin(), seedValues.end());</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="comment">// Seed the mersenne twister with these values</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; rng = std::mt19937(seedSequence);</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; isRngInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;}</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="comment">// Will return a random double between 0 and 1</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f"> 29</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Math::Random</a>()</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">return</span> (rng() % 694206942069ll) / 694206942069.0;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;}</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment">// Will return a random unsigned integer.</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26"> 37</a></span>&#160;<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ad38d9a50e08cd02bb35161cc3bd77b26">Math::RandomUint</a>()</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;{</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">return</span> rng();</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;}</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">// Will return a random integer</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60"> 45</a></span>&#160;<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#ab8d66e39e794d89594c50690ccc92c60">Math::RandomInt</a>()</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;{</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <a class="code" href="Math_8cpp.html#ac0cae806d3e9a3772f7388dd53cfc370">MAKE_SURE_RNG_IS_INITIALIZED</a>;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="comment">// Since this is supposed to return a random value anyways,</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="comment">// we can let the random uint overflow without any problems.</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">return</span> (<span class="keywordtype">int</span>)rng();</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;}</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">// Will return a random double within a range </span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">// These bounds are INCLUSIVE!</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a48ca8451f9803ce35d2a35cfb83d8ae9"> 56</a></span>&#160;<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>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;{</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">return</span> (<a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Random</a>() * (max - min)) + min;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;}</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment">// Will return a random integer within a range. This is faster than &#39;(int)RandomRange(x,y)&#39;</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment">// These bounds are INCLUSIVE!</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#adfc55be8cb68aba351374f045f29a2ad"> 63</a></span>&#160;<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>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;{</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordflow">return</span> (rng() % (max + 1 - min)) + min;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;}</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a1b0fb72c51751470f7f819b20a5b3b3f"> 68</a></span>&#160;<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>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;{</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">return</span> (sin(counter * speed * <a class="code" href="Constants_8h.html#a299aabc5fc8285cbf99025330a3d0d0d">PI</a> - <a class="code" href="Constants_8h.html#ad0661cafa18be7ccadefb27b6b809264">HALF_PI</a>) * 0.5 + 0.5) * (b-a) + a;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;}</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a60bffec38a861b7701fc90bd6f1a11d6"> 73</a></span>&#160;<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>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;{</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classEule_1_1Math.html#a6aa6d6c804f995a089779219e5136e4f">Random</a>() &lt;= chance;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;}</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classEule_1_1Math.html#a9d17091e986de45e9bbee484e2d56430"> 78</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="classEule_1_1Math.html#a9d17091e986de45e9bbee484e2d56430">Math::Mod</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> numerator, <span class="keyword">const</span> <span class="keywordtype">int</span> denominator)</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;{</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span> (denominator == 0)</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;Divide by zero&quot;</span>);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// Quick optimizations:</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">// -&gt; 0/n is always 0</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keywordflow">if</span> (numerator == 0)</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="comment">// -&gt; operator% works for a &gt; 0 &amp;&amp; b &gt; 0</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordflow">if</span> (denominator &gt; 0 &amp;&amp; numerator &gt; 0)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">return</span> numerator % denominator;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="comment">// Else: generalized formula</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">return</span> (denominator + (numerator % denominator)) % denominator;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;}</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;std::mt19937 Math::rng;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="keywordtype">bool</span> Math::isRngInitialized = <span class="keyword">true</span>;</div>
</div><!-- fragment --></div><!-- contents -->
<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>
<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>
<div class="ttc" id="aConstants_8h_html_a299aabc5fc8285cbf99025330a3d0d0d"><div class="ttname"><a href="Constants_8h.html#a299aabc5fc8285cbf99025330a3d0d0d">PI</a></div><div class="ttdeci">static constexpr double 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>
<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>
<div class="ttc" id="aclassEule_1_1Math_html_a9d17091e986de45e9bbee484e2d56430"><div class="ttname"><a href="classEule_1_1Math.html#a9d17091e986de45e9bbee484e2d56430">Eule::Math::Mod</a></div><div class="ttdeci">static int Mod(const int numerator, const int denominator)</div><div class="ttdoc">Will compute the actual modulo of a fraction.</div><div class="ttdef"><b>Definition:</b> <a href="Math_8cpp_source.html#l00078">Math.cpp:78</a></div></div>
<div class="ttc" id="aConstants_8h_html"><div class="ttname"><a href="Constants_8h.html">Constants.h</a></div></div>
<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>
<div class="ttc" id="aMath_8h_html"><div class="ttname"><a href="Math_8h.html">Math.h</a></div></div>
<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>
<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>
<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>
<div class="ttc" id="aConstants_8h_html_ad0661cafa18be7ccadefb27b6b809264"><div class="ttname"><a href="Constants_8h.html#ad0661cafa18be7ccadefb27b6b809264">HALF_PI</a></div><div class="ttdeci">static constexpr double 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>
<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>
<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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