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<div id="projectname">Gamedev Framework (gf)
 <span id="projectnumber">0.11.0</span>
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<div id="projectbrief">A C++14 framework for 2D games</div>
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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_6d069d519ae9d12fa11dd8e685586b60.html">gf</a></li> </ul>
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<div class="title">Math.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Gamedev Framework (gf)</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Copyright (C) 2016-2018 Julien Bernard</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This software is provided 'as-is', without any express or implied</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * warranty. In no event will the authors be held liable for any damages</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * arising from the use of this software.</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * Permission is granted to anyone to use this software for any purpose,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * including commercial applications, and to alter it and redistribute it</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * freely, subject to the following restrictions:</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> *</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * 1. The origin of this software must not be misrepresented; you must not</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * claim that you wrote the original software. If you use this software</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * in a product, an acknowledgment in the product documentation would be</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * appreciated but is not required.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * 2. Altered source versions must be plainly marked as such, and must not be</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * misrepresented as being the original software.</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * 3. This notice may not be removed or altered from any source distribution.</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> */</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#ifndef GF_MATH_H</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#define GF_MATH_H</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <cmath></span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <limits></span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "Portability.h"</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">namespace </span><a class="code" href="namespacegf.html">gf</a> {</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifndef DOXYGEN_SHOULD_SKIP_THIS</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">inline</span> <span class="keyword">namespace </span>v1 {</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="group__core.html#gafea71ec62ea0c47eb8e65dba77940b40"> 38</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gafea71ec62ea0c47eb8e65dba77940b40">Pi</a> = 3.14159265358979323846f;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div><div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="group__core.html#gaac3ad99d9b813b1cea8802abbfed6d80"> 44</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gaac3ad99d9b813b1cea8802abbfed6d80">Pi2</a> = Pi / 2;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div><div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="group__core.html#gaab6d74eaf8f5a1744b6de68ad463edf2"> 50</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gaab6d74eaf8f5a1744b6de68ad463edf2">Pi4</a> = Pi / 4;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="group__core.html#ga8aa2d6dc9c8fb96810fe47dff3c9b00a"> 56</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#ga8aa2d6dc9c8fb96810fe47dff3c9b00a">Sqrt2</a> = 1.41421356237309504880f;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div><div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="group__core.html#gab6ba065d81cdb7021ba7e47bea500580"> 62</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gab6ba065d81cdb7021ba7e47bea500580">InvSqrt2</a> = 1 / <a class="code" href="group__core.html#ga8aa2d6dc9c8fb96810fe47dff3c9b00a">Sqrt2</a>;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div><div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="group__core.html#gad32b4a332d77de3d25eae25cfbcb3fb2"> 68</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gad32b4a332d77de3d25eae25cfbcb3fb2">Sqrt3</a> = 1.7320508075688772935f;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div><div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="group__core.html#gab4aa74a0cbea2a97c107bc5a1dc63a64"> 74</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#gab4aa74a0cbea2a97c107bc5a1dc63a64">Epsilon</a> = std::numeric_limits<float>::epsilon();</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="group__core.html#ga7ed0adec6b897c228288a41a757b96a2"> 88</a></span>  <span class="keywordtype">bool</span> <a class="code" href="group__core.html#ga7ed0adec6b897c228288a41a757b96a2">almostEquals</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> a, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> b, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> epsilon = std::numeric_limits<T>::epsilon()) {</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">if</span> (a == b) {</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> diff = std::abs(a - b);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">if</span> (a == 0 || b == 0 || diff < std::numeric_limits<T>::denorm_min()) {</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> diff < (epsilon * std::numeric_limits<T>::denorm_min());</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> sum = std::abs(a) + std::abs(b);</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  sum = (sum < std::numeric_limits<T>::max()) ? sum : std::numeric_limits<T>::max();</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">return</span> (diff / sum) < epsilon;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div><div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="group__core.html#ga4f3a61189703ec2b8dc9e9a27a398bb5"> 113</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#ga4f3a61189703ec2b8dc9e9a27a398bb5">degreesToRadians</a>(<span class="keywordtype">float</span> degrees) {</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> degrees * Pi / 180.0f;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  }</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="group__core.html#ga1965ca9c0aa332a0a9fff72398f29c69"> 125</a></span>  constexpr <span class="keywordtype">float</span> <a class="code" href="group__core.html#ga1965ca9c0aa332a0a9fff72398f29c69">radiansToDegrees</a>(<span class="keywordtype">float</span> radians) {</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">return</span> radians * 180.0f / <a class="code" href="group__core.html#gafea71ec62ea0c47eb8e65dba77940b40">Pi</a>;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  }</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="group__core.html#ga44b429e4f47cceab994f3b20b811d681"> 153</a></span>  <span class="keyword">using</span> <a class="code" href="group__core.html#ga44b429e4f47cceab994f3b20b811d681">Step</a> = <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> (*)(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a>);</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  constexpr</div><div class="line"><a name="l00165"></a><span class="lineno"><a class="line" href="group__core.html#gae4f9435d5873af1b503a277ddae35bd9"> 165</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#gae4f9435d5873af1b503a277ddae35bd9">linearStep</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> t) {</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">return</span> t;</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  }</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span> </div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  constexpr</div><div class="line"><a name="l00186"></a><span class="lineno"><a class="line" href="group__core.html#gab353056685420de64599bb422adaf701"> 186</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#gab353056685420de64599bb422adaf701">cubicStep</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> t) {</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> (-2 * t + 3) * t * t;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  }</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  constexpr</div><div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="group__core.html#ga6f9ca6f1bc9622a4c7e68a3f956d8415"> 209</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga6f9ca6f1bc9622a4c7e68a3f956d8415">quinticStep</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> t) {</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">return</span> ((6 * t - 15) * t + 10) * t * t * t;</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  }</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">inline</span></div><div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="group__core.html#ga0e9fce6526516ba6bee65bf802888cd3"> 223</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga0e9fce6526516ba6bee65bf802888cd3">cosineStep</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> t) {</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">return</span> (1 - std::cos(Pi * t)) * 0.5;</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  }</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keyword">typename</span> U></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  constexpr</div><div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="group__core.html#ga9cff790079bfedb8b24a26de940a051f"> 242</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga9cff790079bfedb8b24a26de940a051f">lerp</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> lhs, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> rhs, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626a4c614360da93c0a041b22e537de151eb">U</a> t) {</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">return</span> (1 - t) * lhs + t * rhs;</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  }</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> </div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  constexpr</div><div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="group__core.html#ga671bdda5a52c335e68d391147c70cc16"> 260</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga671bdda5a52c335e68d391147c70cc16">clamp</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> val, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> lo, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> hi) {</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">return</span> val < lo ? lo : (val > hi ? hi : val);</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  constexpr</div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="group__core.html#ga0e22be4ddd625e4c235dbf0ef2d1f43f"> 275</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga0e22be4ddd625e4c235dbf0ef2d1f43f">square</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> val) {</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">return</span> val * val;</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  }</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  constexpr</div><div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="group__core.html#ga55d7afb6ae7f894776bb0244465ac497"> 295</a></span>  <span class="keywordtype">int</span> <a class="code" href="group__core.html#ga55d7afb6ae7f894776bb0244465ac497">sign</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> val) {</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordflow">return</span> (val > <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a>(0)) - (val < <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a>(0));</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  constexpr</div><div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="group__core.html#ga162af6026bb8a59762e87c918f634006"> 313</a></span>  <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> <a class="code" href="group__core.html#ga162af6026bb8a59762e87c918f634006">absdiff</a>(<a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> lhs, <a class="code" href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">T</a> rhs) {</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordflow">return</span> lhs > rhs ? lhs - rhs : rhs - lhs;</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  }</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="preprocessor">#ifndef DOXYGEN_SHOULD_SKIP_THIS</span></div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span> }</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span> }</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span> </div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="preprocessor">#endif // GF_MATH_H</span></div><div class="ttc" id="group__core_html_gaac3ad99d9b813b1cea8802abbfed6d80"><div class="ttname"><a href="group__core.html#gaac3ad99d9b813b1cea8802abbfed6d80">gf::Pi2</a></div><div class="ttdeci">constexpr float Pi2</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:44</div></div>
<div class="ttc" id="group__core_html_ga9cff790079bfedb8b24a26de940a051f"><div class="ttname"><a href="group__core.html#ga9cff790079bfedb8b24a26de940a051f">gf::lerp</a></div><div class="ttdeci">constexpr T lerp(T lhs, T rhs, U t)</div><div class="ttdoc">Linear interpolation function. </div><div class="ttdef"><b>Definition:</b> Math.h:242</div></div>
<div class="ttc" id="group__core_html_gab4aa74a0cbea2a97c107bc5a1dc63a64"><div class="ttname"><a href="group__core.html#gab4aa74a0cbea2a97c107bc5a1dc63a64">gf::Epsilon</a></div><div class="ttdeci">constexpr float Epsilon</div><div class="ttdoc">Machine epsilon. </div><div class="ttdef"><b>Definition:</b> Math.h:74</div></div>
<div class="ttc" id="group__window_html_gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3"><div class="ttname"><a href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626ab9ece18c950afbfa6b0fdbfa4ff731d3">gf::Scancode::T</a></div></div>
<div class="ttc" id="group__core_html_ga1965ca9c0aa332a0a9fff72398f29c69"><div class="ttname"><a href="group__core.html#ga1965ca9c0aa332a0a9fff72398f29c69">gf::radiansToDegrees</a></div><div class="ttdeci">constexpr float radiansToDegrees(float radians)</div><div class="ttdoc">Convert radians to degrees. </div><div class="ttdef"><b>Definition:</b> Math.h:125</div></div>
<div class="ttc" id="group__core_html_gab6ba065d81cdb7021ba7e47bea500580"><div class="ttname"><a href="group__core.html#gab6ba065d81cdb7021ba7e47bea500580">gf::InvSqrt2</a></div><div class="ttdeci">constexpr float InvSqrt2</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:62</div></div>
<div class="ttc" id="group__core_html_ga4f3a61189703ec2b8dc9e9a27a398bb5"><div class="ttname"><a href="group__core.html#ga4f3a61189703ec2b8dc9e9a27a398bb5">gf::degreesToRadians</a></div><div class="ttdeci">constexpr float degreesToRadians(float degrees)</div><div class="ttdoc">Convert degrees to radians. </div><div class="ttdef"><b>Definition:</b> Math.h:113</div></div>
<div class="ttc" id="group__core_html_ga162af6026bb8a59762e87c918f634006"><div class="ttname"><a href="group__core.html#ga162af6026bb8a59762e87c918f634006">gf::absdiff</a></div><div class="ttdeci">constexpr T absdiff(T lhs, T rhs)</div><div class="ttdoc">Absolute difference of two values. </div><div class="ttdef"><b>Definition:</b> Math.h:313</div></div>
<div class="ttc" id="group__core_html_ga0e22be4ddd625e4c235dbf0ef2d1f43f"><div class="ttname"><a href="group__core.html#ga0e22be4ddd625e4c235dbf0ef2d1f43f">gf::square</a></div><div class="ttdeci">constexpr T square(T val)</div><div class="ttdoc">Square function. </div><div class="ttdef"><b>Definition:</b> Math.h:275</div></div>
<div class="ttc" id="group__core_html_ga671bdda5a52c335e68d391147c70cc16"><div class="ttname"><a href="group__core.html#ga671bdda5a52c335e68d391147c70cc16">gf::clamp</a></div><div class="ttdeci">constexpr T clamp(T val, T lo, T hi)</div><div class="ttdoc">Clamping function. </div><div class="ttdef"><b>Definition:</b> Math.h:260</div></div>
<div class="ttc" id="group__core_html_ga7ed0adec6b897c228288a41a757b96a2"><div class="ttname"><a href="group__core.html#ga7ed0adec6b897c228288a41a757b96a2">gf::almostEquals</a></div><div class="ttdeci">bool almostEquals(T a, T b, T epsilon=std::numeric_limits< T >::epsilon())</div><div class="ttdoc">Compare two floats. </div><div class="ttdef"><b>Definition:</b> Math.h:88</div></div>
<div class="ttc" id="group__window_html_gga795d7d5e2f2a4f38b16b95e0e78cb626a4c614360da93c0a041b22e537de151eb"><div class="ttname"><a href="group__window.html#gga795d7d5e2f2a4f38b16b95e0e78cb626a4c614360da93c0a041b22e537de151eb">gf::Scancode::U</a></div></div>
<div class="ttc" id="group__core_html_ga8aa2d6dc9c8fb96810fe47dff3c9b00a"><div class="ttname"><a href="group__core.html#ga8aa2d6dc9c8fb96810fe47dff3c9b00a">gf::Sqrt2</a></div><div class="ttdeci">constexpr float Sqrt2</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:56</div></div>
<div class="ttc" id="group__core_html_gab353056685420de64599bb422adaf701"><div class="ttname"><a href="group__core.html#gab353056685420de64599bb422adaf701">gf::cubicStep</a></div><div class="ttdeci">constexpr T cubicStep(T t)</div><div class="ttdoc">Cubic step (smoothstep) </div><div class="ttdef"><b>Definition:</b> Math.h:186</div></div>
<div class="ttc" id="namespacegf_html"><div class="ttname"><a href="namespacegf.html">gf</a></div><div class="ttdoc">The namespace for gf classes. </div><div class="ttdef"><b>Definition:</b> Action.h:35</div></div>
<div class="ttc" id="group__core_html_ga0e9fce6526516ba6bee65bf802888cd3"><div class="ttname"><a href="group__core.html#ga0e9fce6526516ba6bee65bf802888cd3">gf::cosineStep</a></div><div class="ttdeci">T cosineStep(T t)</div><div class="ttdoc">Cosine step. </div><div class="ttdef"><b>Definition:</b> Math.h:223</div></div>
<div class="ttc" id="group__core_html_gafea71ec62ea0c47eb8e65dba77940b40"><div class="ttname"><a href="group__core.html#gafea71ec62ea0c47eb8e65dba77940b40">gf::Pi</a></div><div class="ttdeci">constexpr float Pi</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:38</div></div>
<div class="ttc" id="group__core_html_gae4f9435d5873af1b503a277ddae35bd9"><div class="ttname"><a href="group__core.html#gae4f9435d5873af1b503a277ddae35bd9">gf::linearStep</a></div><div class="ttdeci">constexpr T linearStep(T t)</div><div class="ttdoc">Linear step. </div><div class="ttdef"><b>Definition:</b> Math.h:165</div></div>
<div class="ttc" id="group__core_html_gad32b4a332d77de3d25eae25cfbcb3fb2"><div class="ttname"><a href="group__core.html#gad32b4a332d77de3d25eae25cfbcb3fb2">gf::Sqrt3</a></div><div class="ttdeci">constexpr float Sqrt3</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:68</div></div>
<div class="ttc" id="group__core_html_ga55d7afb6ae7f894776bb0244465ac497"><div class="ttname"><a href="group__core.html#ga55d7afb6ae7f894776bb0244465ac497">gf::sign</a></div><div class="ttdeci">constexpr int sign(T val)</div><div class="ttdoc">Sign function. </div><div class="ttdef"><b>Definition:</b> Math.h:295</div></div>
<div class="ttc" id="group__core_html_ga44b429e4f47cceab994f3b20b811d681"><div class="ttname"><a href="group__core.html#ga44b429e4f47cceab994f3b20b811d681">gf::Step</a></div><div class="ttdeci">T(*)(T) Step</div><div class="ttdoc">A step is a function with special features. </div><div class="ttdef"><b>Definition:</b> Math.h:153</div></div>
<div class="ttc" id="group__core_html_ga6f9ca6f1bc9622a4c7e68a3f956d8415"><div class="ttname"><a href="group__core.html#ga6f9ca6f1bc9622a4c7e68a3f956d8415">gf::quinticStep</a></div><div class="ttdeci">constexpr T quinticStep(T t)</div><div class="ttdoc">Quintic step (smootherstep) </div><div class="ttdef"><b>Definition:</b> Math.h:209</div></div>
<div class="ttc" id="group__core_html_gaab6d74eaf8f5a1744b6de68ad463edf2"><div class="ttname"><a href="group__core.html#gaab6d74eaf8f5a1744b6de68ad463edf2">gf::Pi4</a></div><div class="ttdeci">constexpr float Pi4</div><div class="ttdoc">The constant. </div><div class="ttdef"><b>Definition:</b> Math.h:50</div></div>
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