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  85. <div class="title">func_trigonometric.hpp</div> </div>
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  87. <div class="contents">
  88. <a href="a00038.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;</div>
  89. <div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#pragma once</span></div>
  90. <div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div>
  91. <div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00102.html">setup.hpp</a>&quot;</span></div>
  92. <div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00090.html">qualifier.hpp</a>&quot;</span></div>
  93. <div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div>
  94. <div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00143.html">glm</a></div>
  95. <div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;{</div>
  96. <div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;</div>
  97. <div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  98. <div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga3c52efaefd061d714c9416db7baffb52">radians</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00154.html#ga3d8b6a92957633fa63f9e9a1761cfb01">degrees</a>);</div>
  99. <div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div>
  100. <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  101. <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga3d8b6a92957633fa63f9e9a1761cfb01">degrees</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00154.html#ga3c52efaefd061d714c9416db7baffb52">radians</a>);</div>
  102. <div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div>
  103. <div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  104. <div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gace40403215c8fbdcfcb71d0ee7f754c5">sin</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  105. <div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div>
  106. <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  107. <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga25e0c5534cb5ca943767bccb5df37757">cos</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  108. <div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;</div>
  109. <div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  110. <div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga9a95d48ea582becb340c5800427ec89d">tan</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  111. <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;</div>
  112. <div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  113. <div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gaa856f3bc6f9b04b48b5aa1394cdc570a">asin</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  114. <div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div>
  115. <div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  116. <div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga7fc0edab37382bccace71b13efd94023">acos</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  117. <div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div>
  118. <div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  119. <div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga9ffac8e7b1194cb5cbac7009c012062f">atan</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; y, vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  120. <div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div>
  121. <div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  122. <div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga9ffac8e7b1194cb5cbac7009c012062f">atan</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; y_over_x);</div>
  123. <div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;</div>
  124. <div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  125. <div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gaa11ee703574f57880f7d60bc02b54812">sinh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  126. <div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div>
  127. <div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  128. <div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gaadd9cd03c7e505952b8f0a0ac97388de">cosh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  129. <div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;</div>
  130. <div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  131. <div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gabf113eb464891c35243b3bdea8610c56">tanh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; <a class="code" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>);</div>
  132. <div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div>
  133. <div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  134. <div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga0b15003df346e23a7f1db7de4453ef6f">asinh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  135. <div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; </div>
  136. <div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  137. <div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#gadec1dc94c7c9c054b1cae921f65c67a6">acosh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  138. <div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;</div>
  139. <div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
  140. <div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00154.html#ga10f80a2b7bac23f556ad09c8711be5fd">atanh</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
  141. <div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;</div>
  142. <div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;}<span class="comment">//namespace glm</span></div>
  143. <div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div>
  144. <div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;<span class="preprocessor">#include &quot;func_trigonometric.inl&quot;</span></div>
  145. <div class="ttc" id="a00154_html_gadec1dc94c7c9c054b1cae921f65c67a6"><div class="ttname"><a href="a00154.html#gadec1dc94c7c9c054b1cae921f65c67a6">glm::acosh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; acosh(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Arc hyperbolic cosine; returns the non-negative inverse of cosh. </div></div>
  146. <div class="ttc" id="a00154_html_ga10f80a2b7bac23f556ad09c8711be5fd"><div class="ttname"><a href="a00154.html#ga10f80a2b7bac23f556ad09c8711be5fd">glm::atanh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; atanh(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Arc hyperbolic tangent; returns the inverse of tanh. </div></div>
  147. <div class="ttc" id="a00154_html_gaa856f3bc6f9b04b48b5aa1394cdc570a"><div class="ttname"><a href="a00154.html#gaa856f3bc6f9b04b48b5aa1394cdc570a">glm::asin</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; asin(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Arc sine. </div></div>
  148. <div class="ttc" id="a00154_html_gaadd9cd03c7e505952b8f0a0ac97388de"><div class="ttname"><a href="a00154.html#gaadd9cd03c7e505952b8f0a0ac97388de">glm::cosh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; cosh(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </div></div>
  149. <div class="ttc" id="a00154_html_ga0b15003df346e23a7f1db7de4453ef6f"><div class="ttname"><a href="a00154.html#ga0b15003df346e23a7f1db7de4453ef6f">glm::asinh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; asinh(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Arc hyperbolic sine; returns the inverse of sinh. </div></div>
  150. <div class="ttc" id="a00143_html"><div class="ttname"><a href="a00143.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00011">_noise.hpp:11</a></div></div>
  151. <div class="ttc" id="a00154_html_ga3d8b6a92957633fa63f9e9a1761cfb01"><div class="ttname"><a href="a00154.html#ga3d8b6a92957633fa63f9e9a1761cfb01">glm::degrees</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt; L, T, P &gt; degrees(vec&lt; L, T, P &gt; const &amp;radians)</div><div class="ttdoc">Converts radians to degrees and returns the result. </div></div>
  152. <div class="ttc" id="a00154_html_gabf113eb464891c35243b3bdea8610c56"><div class="ttname"><a href="a00154.html#gabf113eb464891c35243b3bdea8610c56">glm::tanh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; tanh(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </div></div>
  153. <div class="ttc" id="a00154_html_ga9ffac8e7b1194cb5cbac7009c012062f"><div class="ttname"><a href="a00154.html#ga9ffac8e7b1194cb5cbac7009c012062f">glm::atan</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; atan(vec&lt; L, T, P &gt; const &amp;y_over_x)</div><div class="ttdoc">Arc tangent. </div></div>
  154. <div class="ttc" id="a00090_html"><div class="ttname"><a href="a00090.html">qualifier.hpp</a></div><div class="ttdoc">GLM Core </div></div>
  155. <div class="ttc" id="a00174_html_gad4a4448baedb198b2b1e7880d2544dc9"><div class="ttname"><a href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">glm::angle</a></div><div class="ttdeci">GLM_FUNC_DECL T angle(tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Returns the quaternion rotation angle. </div></div>
  156. <div class="ttc" id="a00154_html_ga7fc0edab37382bccace71b13efd94023"><div class="ttname"><a href="a00154.html#ga7fc0edab37382bccace71b13efd94023">glm::acos</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; acos(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Arc cosine. </div></div>
  157. <div class="ttc" id="a00154_html_ga9a95d48ea582becb340c5800427ec89d"><div class="ttname"><a href="a00154.html#ga9a95d48ea582becb340c5800427ec89d">glm::tan</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; tan(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">The standard trigonometric tangent function. </div></div>
  158. <div class="ttc" id="a00154_html_ga3c52efaefd061d714c9416db7baffb52"><div class="ttname"><a href="a00154.html#ga3c52efaefd061d714c9416db7baffb52">glm::radians</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt; L, T, P &gt; radians(vec&lt; L, T, P &gt; const &amp;degrees)</div><div class="ttdoc">Converts degrees to radians and returns the result. </div></div>
  159. <div class="ttc" id="a00154_html_ga25e0c5534cb5ca943767bccb5df37757"><div class="ttname"><a href="a00154.html#ga25e0c5534cb5ca943767bccb5df37757">glm::cos</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; cos(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">The standard trigonometric cosine function. </div></div>
  160. <div class="ttc" id="a00154_html_gaa11ee703574f57880f7d60bc02b54812"><div class="ttname"><a href="a00154.html#gaa11ee703574f57880f7d60bc02b54812">glm::sinh</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; sinh(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </div></div>
  161. <div class="ttc" id="a00154_html_gace40403215c8fbdcfcb71d0ee7f754c5"><div class="ttname"><a href="a00154.html#gace40403215c8fbdcfcb71d0ee7f754c5">glm::sin</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; sin(vec&lt; L, T, P &gt; const &amp;angle)</div><div class="ttdoc">The standard trigonometric sine function. </div></div>
  162. <div class="ttc" id="a00102_html"><div class="ttname"><a href="a00102.html">setup.hpp</a></div><div class="ttdoc">GLM Core </div></div>
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