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  37. <div class="title">quaternion.hpp</div> </div>
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  40. <a href="a00076.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001
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  74. <a name="l00035"></a>00035
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  76. <a name="l00037"></a>00037
  77. <a name="l00038"></a>00038
  78. <a name="l00039"></a>00039 <span class="preprocessor">#ifndef GLM_GTC_quaternion</span>
  79. <a name="l00040"></a>00040 <span class="preprocessor"></span><span class="preprocessor">#define GLM_GTC_quaternion GLM_VERSION</span>
  80. <a name="l00041"></a>00041 <span class="preprocessor"></span>
  81. <a name="l00042"></a>00042 <span class="comment">// Dependency:</span>
  82. <a name="l00043"></a>00043 <span class="preprocessor">#include &quot;../glm.hpp&quot;</span>
  83. <a name="l00044"></a>00044 <span class="preprocessor">#include &quot;../gtc/half_float.hpp&quot;</span>
  84. <a name="l00045"></a>00045
  85. <a name="l00046"></a>00046 <span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(glm_ext))</span>
  86. <a name="l00047"></a>00047 <span class="preprocessor"></span><span class="preprocessor"># pragma message(&quot;GLM: GLM_GTC_quaternion extension included&quot;)</span>
  87. <a name="l00048"></a>00048 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
  88. <a name="l00049"></a>00049 <span class="preprocessor"></span>
  89. <a name="l00050"></a>00050 <span class="keyword">namespace </span>glm{
  90. <a name="l00051"></a>00051 <span class="keyword">namespace </span>detail
  91. <a name="l00052"></a>00052 {
  92. <a name="l00056"></a>00056 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  93. <a name="l00057"></a><a class="code" href="a00003.html">00057</a> <span class="keyword">struct </span><a class="code" href="a00003.html" title="Template for quaternion.">tquat</a><span class="comment">// : public genType&lt;T, tquat&gt;</span>
  94. <a name="l00058"></a>00058 {
  95. <a name="l00059"></a>00059 <span class="keyword">enum</span> ctor{null};
  96. <a name="l00060"></a>00060
  97. <a name="l00061"></a>00061 <span class="keyword">typedef</span> T value_type;
  98. <a name="l00062"></a>00062 <span class="keyword">typedef</span> std::size_t size_type;
  99. <a name="l00063"></a>00063
  100. <a name="l00064"></a>00064 <span class="keyword">public</span>:
  101. <a name="l00065"></a>00065 value_type x, y, z, w;
  102. <a name="l00066"></a>00066
  103. <a name="l00067"></a>00067 GLM_FUNC_DECL size_type length() <span class="keyword">const</span>;
  104. <a name="l00068"></a>00068
  105. <a name="l00069"></a>00069 <span class="comment">// Constructors</span>
  106. <a name="l00070"></a>00070 <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>();
  107. <a name="l00071"></a>00071 <span class="keyword">explicit</span> <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>(
  108. <a name="l00072"></a>00072 value_type <span class="keyword">const</span> &amp; s,
  109. <a name="l00073"></a>00073 glm::detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v);
  110. <a name="l00074"></a>00074 <span class="keyword">explicit</span> <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>(
  111. <a name="l00075"></a>00075 value_type <span class="keyword">const</span> &amp; w,
  112. <a name="l00076"></a>00076 value_type <span class="keyword">const</span> &amp; x,
  113. <a name="l00077"></a>00077 value_type <span class="keyword">const</span> &amp; y,
  114. <a name="l00078"></a>00078 value_type <span class="keyword">const</span> &amp; z);
  115. <a name="l00079"></a>00079
  116. <a name="l00080"></a>00080 <span class="comment">// Convertions</span>
  117. <a name="l00081"></a>00081 <span class="comment">//explicit tquat(valType const &amp; pitch, valType const &amp; yaw, valType const &amp; roll);</span>
  118. <a name="l00083"></a>00083 <span class="comment"></span> <span class="keyword">explicit</span> <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>(
  119. <a name="l00084"></a>00084 tvec3&lt;T&gt; <span class="keyword">const</span> &amp; <a class="code" href="a00195.html#gaaf23d24e27b4e4954d6e0dcf8cc4451c" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>);
  120. <a name="l00085"></a>00085 <span class="keyword">explicit</span> <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>(
  121. <a name="l00086"></a>00086 tmat3x3&lt;T&gt; <span class="keyword">const</span> &amp; m);
  122. <a name="l00087"></a>00087 <span class="keyword">explicit</span> <a class="code" href="a00003.html" title="Template for quaternion.">tquat</a>(
  123. <a name="l00088"></a>00088 tmat4x4&lt;T&gt; <span class="keyword">const</span> &amp; m);
  124. <a name="l00089"></a>00089
  125. <a name="l00090"></a>00090 <span class="comment">// Accesses</span>
  126. <a name="l00091"></a>00091 value_type &amp; operator[](<span class="keywordtype">int</span> i);
  127. <a name="l00092"></a>00092 value_type <span class="keyword">const</span> &amp; operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;
  128. <a name="l00093"></a>00093
  129. <a name="l00094"></a>00094 <span class="comment">// Operators</span>
  130. <a name="l00095"></a>00095 <a class="code" href="a00003.html" title="Template for quaternion.">tquat&lt;T&gt;</a> &amp; operator*=(value_type <span class="keyword">const</span> &amp; s);
  131. <a name="l00096"></a>00096 <a class="code" href="a00003.html" title="Template for quaternion.">tquat&lt;T&gt;</a> &amp; operator/=(value_type <span class="keyword">const</span> &amp; s);
  132. <a name="l00097"></a>00097 };
  133. <a name="l00098"></a>00098
  134. <a name="l00099"></a>00099 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  135. <a name="l00100"></a>00100 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator- (
  136. <a name="l00101"></a>00101 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  137. <a name="l00102"></a>00102
  138. <a name="l00103"></a>00103 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  139. <a name="l00104"></a>00104 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator+ (
  140. <a name="l00105"></a>00105 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  141. <a name="l00106"></a>00106 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; p);
  142. <a name="l00107"></a>00107
  143. <a name="l00108"></a>00108 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  144. <a name="l00109"></a>00109 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator* (
  145. <a name="l00110"></a>00110 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  146. <a name="l00111"></a>00111 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; p);
  147. <a name="l00112"></a>00112
  148. <a name="l00113"></a>00113 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  149. <a name="l00114"></a>00114 detail::tvec3&lt;T&gt; operator* (
  150. <a name="l00115"></a>00115 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  151. <a name="l00116"></a>00116 detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v);
  152. <a name="l00117"></a>00117
  153. <a name="l00118"></a>00118 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  154. <a name="l00119"></a>00119 detail::tvec3&lt;T&gt; operator* (
  155. <a name="l00120"></a>00120 detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v,
  156. <a name="l00121"></a>00121 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  157. <a name="l00122"></a>00122
  158. <a name="l00123"></a>00123 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  159. <a name="l00124"></a>00124 detail::tvec4&lt;T&gt; operator* (
  160. <a name="l00125"></a>00125 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  161. <a name="l00126"></a>00126 detail::tvec4&lt;T&gt; <span class="keyword">const</span> &amp; v);
  162. <a name="l00127"></a>00127
  163. <a name="l00128"></a>00128 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  164. <a name="l00129"></a>00129 detail::tvec4&lt;T&gt; operator* (
  165. <a name="l00130"></a>00130 detail::tvec4&lt;T&gt; <span class="keyword">const</span> &amp; v,
  166. <a name="l00131"></a>00131 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  167. <a name="l00132"></a>00132
  168. <a name="l00133"></a>00133 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  169. <a name="l00134"></a>00134 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator* (
  170. <a name="l00135"></a>00135 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  171. <a name="l00136"></a>00136 <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s);
  172. <a name="l00137"></a>00137
  173. <a name="l00138"></a>00138 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  174. <a name="l00139"></a>00139 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator* (
  175. <a name="l00140"></a>00140 <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s,
  176. <a name="l00141"></a>00141 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  177. <a name="l00142"></a>00142
  178. <a name="l00143"></a>00143 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  179. <a name="l00144"></a>00144 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> operator/ (
  180. <a name="l00145"></a>00145 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  181. <a name="l00146"></a>00146 <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s);
  182. <a name="l00147"></a>00147
  183. <a name="l00148"></a>00148 } <span class="comment">//namespace detail</span>
  184. <a name="l00149"></a>00149
  185. <a name="l00152"></a>00152
  186. <a name="l00156"></a>00156 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  187. <a name="l00157"></a>00157 T <a class="code" href="a00129.html#ga282360c8bb80b80d3c7f5bc00766d873" title="Returns the length of x, i.e., sqrt(x * x).">length</a>(
  188. <a name="l00158"></a>00158 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  189. <a name="l00159"></a>00159
  190. <a name="l00163"></a>00163 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  191. <a name="l00164"></a>00164 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00129.html#ga68b931c228750eeba844c273c54ca43d" title="Returns a vector in the same direction as x but with length of 1.">normalize</a>(
  192. <a name="l00165"></a>00165 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  193. <a name="l00166"></a>00166
  194. <a name="l00170"></a>00170 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  195. <a name="l00171"></a>00171 T <a class="code" href="a00129.html#ga7a31d2864eccfe665409e3b44f5e6e8d" title="Returns the dot product of x and y, i.e., result = x * y.">dot</a>(
  196. <a name="l00172"></a>00172 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q1,
  197. <a name="l00173"></a>00173 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q2);
  198. <a name="l00174"></a>00174
  199. <a name="l00178"></a>00178 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  200. <a name="l00179"></a>00179 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00127.html#ga3f64b3986efe205cf30300700667e761">mix</a>(
  201. <a name="l00180"></a>00180 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; x,
  202. <a name="l00181"></a>00181 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; y,
  203. <a name="l00182"></a>00182 T <span class="keyword">const</span> &amp; a);
  204. <a name="l00183"></a>00183
  205. <a name="l00187"></a>00187 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  206. <a name="l00188"></a>00188 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00149.html#ga8b6594dffb8bf455d848ffa2169ba41d" title="Returns the q conjugate.">conjugate</a>(
  207. <a name="l00189"></a>00189 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  208. <a name="l00190"></a>00190
  209. <a name="l00194"></a>00194 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  210. <a name="l00195"></a>00195 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00131.html#gada3384a86cf38a1fd96275194b8ba8c0" title="Return the inverse of a mat2 matrix.">inverse</a>(
  211. <a name="l00196"></a>00196 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q);
  212. <a name="l00197"></a>00197
  213. <a name="l00201"></a>00201 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  214. <a name="l00202"></a>00202 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00147.html#gaacb9cbe8f93a8fef9dc3e25559df19c0" title="Builds a rotation 4 * 4 matrix created from an axis vector and an angle expressed in degrees...">rotate</a>(
  215. <a name="l00203"></a>00203 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; q,
  216. <a name="l00204"></a>00204 <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; <a class="code" href="a00195.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>,
  217. <a name="l00205"></a>00205 detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v);
  218. <a name="l00206"></a>00206
  219. <a name="l00210"></a>00210 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  220. <a name="l00211"></a>00211 detail::tmat3x3&lt;T&gt; <a class="code" href="a00149.html#gae04ce320008c9bec0037b4ba21853cb5" title="Converts a quaternion to a 3 * 3 matrix.">mat3_cast</a>(
  221. <a name="l00212"></a>00212 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; x);
  222. <a name="l00213"></a>00213
  223. <a name="l00217"></a>00217 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  224. <a name="l00218"></a>00218 detail::tmat4x4&lt;T&gt; <a class="code" href="a00149.html#ga8c376eb15971eb52d85df5ee26825627" title="Converts a quaternion to a 4 * 4 matrix.">mat4_cast</a>(
  225. <a name="l00219"></a>00219 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <span class="keyword">const</span> &amp; x);
  226. <a name="l00220"></a>00220
  227. <a name="l00224"></a>00224 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  228. <a name="l00225"></a>00225 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00149.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(
  229. <a name="l00226"></a>00226 detail::tmat3x3&lt;T&gt; <span class="keyword">const</span> &amp; x);
  230. <a name="l00227"></a>00227
  231. <a name="l00231"></a>00231 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;
  232. <a name="l00232"></a>00232 <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;T&gt;</a> <a class="code" href="a00149.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(
  233. <a name="l00233"></a>00233 detail::tmat4x4&lt;T&gt; <span class="keyword">const</span> &amp; x);
  234. <a name="l00234"></a>00234
  235. <a name="l00238"></a><a class="code" href="a00149.html#ga60408579db470456070a3336295625a7">00238</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;float&gt;</a> <a class="code" href="a00149.html#ga60408579db470456070a3336295625a7" title="Quaternion of floating-point numbers.">quat</a>;
  236. <a name="l00239"></a>00239
  237. <a name="l00243"></a><a class="code" href="a00149.html#gaba1bbdeae84c942ce0dc83af40e1d7d3">00243</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;detail::half&gt;</a> <a class="code" href="a00149.html#gaba1bbdeae84c942ce0dc83af40e1d7d3" title="Quaternion of half-precision floating-point numbers.">hquat</a>;
  238. <a name="l00244"></a>00244
  239. <a name="l00248"></a><a class="code" href="a00149.html#gaae07c293efbe1c530ff18044a15fe662">00248</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;float&gt;</a> <a class="code" href="a00149.html#gaae07c293efbe1c530ff18044a15fe662" title="Quaternion of single-precision floating-point numbers.">fquat</a>;
  240. <a name="l00249"></a>00249
  241. <a name="l00253"></a><a class="code" href="a00149.html#ga5428321324094c7170d6133c8139d255">00253</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;double&gt;</a> <a class="code" href="a00149.html#ga5428321324094c7170d6133c8139d255" title="Quaternion of double-precision floating-point numbers.">dquat</a>;
  242. <a name="l00254"></a>00254
  243. <a name="l00258"></a><a class="code" href="a00149.html#ga5acd0f3e9f9e3c0e6577440443ec4594">00258</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;lowp_float&gt;</a> <a class="code" href="a00149.html#ga5acd0f3e9f9e3c0e6577440443ec4594" title="Quaternion of low precision floating-point numbers.">lowp_quat</a>;
  244. <a name="l00259"></a>00259
  245. <a name="l00263"></a><a class="code" href="a00149.html#gae93fe73ea5fe5e2150c2eb0641394dc8">00263</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;mediump_float&gt;</a> <a class="code" href="a00149.html#gae93fe73ea5fe5e2150c2eb0641394dc8" title="Quaternion of medium precision floating-point numbers.">mediump_quat</a>;
  246. <a name="l00264"></a>00264
  247. <a name="l00268"></a><a class="code" href="a00149.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">00268</a> <span class="keyword">typedef</span> <a class="code" href="a00003.html" title="Template for quaternion.">detail::tquat&lt;highp_float&gt;</a> <a class="code" href="a00149.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c" title="Quaternion of high precision floating-point numbers.">highp_quat</a>;
  248. <a name="l00269"></a>00269
  249. <a name="l00271"></a>00271 } <span class="comment">//namespace glm</span>
  250. <a name="l00272"></a>00272
  251. <a name="l00273"></a>00273 <span class="preprocessor">#include &quot;quaternion.inl&quot;</span>
  252. <a name="l00274"></a>00274
  253. <a name="l00275"></a>00275 <span class="preprocessor">#endif//GLM_GTC_quaternion</span>
  254. </pre></div></div>
  255. </div>
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