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  86. <div class="title">matrix.hpp</div> </div>
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  88. <div class="contents">
  89. <a href="a00057.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>
  90. <div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#pragma once</span></div>
  91. <div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;</div>
  92. <div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">// Dependencies</span></div>
  93. <div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &quot;detail/qualifier.hpp&quot;</span></div>
  94. <div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;detail/setup.hpp&quot;</span></div>
  95. <div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00184.html">vec2.hpp</a>&quot;</span></div>
  96. <div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00185.html">vec3.hpp</a>&quot;</span></div>
  97. <div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00186.html">vec4.hpp</a>&quot;</span></div>
  98. <div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00048.html">mat2x2.hpp</a>&quot;</span></div>
  99. <div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00049.html">mat2x3.hpp</a>&quot;</span></div>
  100. <div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00050.html">mat2x4.hpp</a>&quot;</span></div>
  101. <div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00051.html">mat3x2.hpp</a>&quot;</span></div>
  102. <div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00052.html">mat3x3.hpp</a>&quot;</span></div>
  103. <div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00053.html">mat3x4.hpp</a>&quot;</span></div>
  104. <div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00054.html">mat4x2.hpp</a>&quot;</span></div>
  105. <div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00055.html">mat4x3.hpp</a>&quot;</span></div>
  106. <div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00056.html">mat4x4.hpp</a>&quot;</span></div>
  107. <div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;</div>
  108. <div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00236.html">glm</a> {</div>
  109. <div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="keyword">namespace </span>detail</div>
  110. <div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;{</div>
  111. <div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  112. <div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keyword">struct </span>outerProduct_trait{};</div>
  113. <div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;</div>
  114. <div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  115. <div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;2, 2, T, Q&gt;</div>
  116. <div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; {</div>
  117. <div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keyword">typedef</span> mat&lt;2, 2, T, Q&gt; type;</div>
  118. <div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; };</div>
  119. <div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div>
  120. <div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  121. <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;2, 3, T, Q&gt;</div>
  122. <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; {</div>
  123. <div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keyword">typedef</span> mat&lt;3, 2, T, Q&gt; type;</div>
  124. <div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; };</div>
  125. <div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;</div>
  126. <div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  127. <div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;2, 4, T, Q&gt;</div>
  128. <div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; {</div>
  129. <div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keyword">typedef</span> mat&lt;4, 2, T, Q&gt; type;</div>
  130. <div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; };</div>
  131. <div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
  132. <div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  133. <div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;3, 2, T, Q&gt;</div>
  134. <div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; {</div>
  135. <div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">typedef</span> mat&lt;2, 3, T, Q&gt; type;</div>
  136. <div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; };</div>
  137. <div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
  138. <div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  139. <div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;3, 3, T, Q&gt;</div>
  140. <div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; {</div>
  141. <div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">typedef</span> mat&lt;3, 3, T, Q&gt; type;</div>
  142. <div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; };</div>
  143. <div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div>
  144. <div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  145. <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;3, 4, T, Q&gt;</div>
  146. <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; {</div>
  147. <div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">typedef</span> mat&lt;4, 3, T, Q&gt; type;</div>
  148. <div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; };</div>
  149. <div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
  150. <div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  151. <div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;4, 2, T, Q&gt;</div>
  152. <div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {</div>
  153. <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keyword">typedef</span> mat&lt;2, 4, T, Q&gt; type;</div>
  154. <div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; };</div>
  155. <div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;</div>
  156. <div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  157. <div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;4, 3, T, Q&gt;</div>
  158. <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; {</div>
  159. <div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keyword">typedef</span> mat&lt;3, 4, T, Q&gt; type;</div>
  160. <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; };</div>
  161. <div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div>
  162. <div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  163. <div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">struct </span>outerProduct_trait&lt;4, 4, T, Q&gt;</div>
  164. <div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; {</div>
  165. <div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keyword">typedef</span> mat&lt;4, 4, T, Q&gt; type;</div>
  166. <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; };</div>
  167. <div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;}<span class="comment">//namespace detail</span></div>
  168. <div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;</div>
  169. <div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div>
  170. <div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  171. <div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; GLM_FUNC_DECL mat&lt;C, R, T, Q&gt; <a class="code" href="a00371.html#gaf14569404c779fedca98d0b9b8e58c1f">matrixCompMult</a>(mat&lt;C, R, T, Q&gt; <span class="keyword">const</span>&amp; x, mat&lt;C, R, T, Q&gt; <span class="keyword">const</span>&amp; y);</div>
  172. <div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div>
  173. <div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  174. <div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; GLM_FUNC_DECL <span class="keyword">typename</span> detail::outerProduct_trait&lt;C, R, T, Q&gt;::type <a class="code" href="a00371.html#gac29fb7bae75a8e4c1b74cbbf85520e50">outerProduct</a>(vec&lt;C, T, Q&gt; <span class="keyword">const</span>&amp; c, vec&lt;R, T, Q&gt; <span class="keyword">const</span>&amp; r);</div>
  175. <div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;</div>
  176. <div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  177. <div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; GLM_FUNC_DECL <span class="keyword">typename</span> mat&lt;C, R, T, Q&gt;::transpose_type <a class="code" href="a00371.html#gae679d841da8ce9dbcc6c2d454f15bc35">transpose</a>(mat&lt;C, R, T, Q&gt; <span class="keyword">const</span>&amp; x);</div>
  178. <div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;</div>
  179. <div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  180. <div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00371.html#gad7928795124768e058f99dce270f5c8d">determinant</a>(mat&lt;C, R, T, Q&gt; <span class="keyword">const</span>&amp; m);</div>
  181. <div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div>
  182. <div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keyword">template</span>&lt;length_t C, length_t R, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
  183. <div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; GLM_FUNC_DECL mat&lt;C, R, T, Q&gt; <a class="code" href="a00371.html#gaed509fe8129b01e4f20a6d0de5690091">inverse</a>(mat&lt;C, R, T, Q&gt; <span class="keyword">const</span>&amp; m);</div>
  184. <div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;</div>
  185. <div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;}<span class="comment">//namespace glm</span></div>
  186. <div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;</div>
  187. <div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="preprocessor">#include &quot;detail/func_matrix.inl&quot;</span></div>
  188. <div class="ttc" id="a00371_html_gaf14569404c779fedca98d0b9b8e58c1f"><div class="ttname"><a href="a00371.html#gaf14569404c779fedca98d0b9b8e58c1f">glm::matrixCompMult</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; C, R, T, Q &gt; matrixCompMult(mat&lt; C, R, T, Q &gt; const &amp;x, mat&lt; C, R, T, Q &gt; const &amp;y)</div><div class="ttdoc">Multiply matrix x by matrix y component-wise, i.e., result[i][j] is the scalar product of x[i][j] and...</div></div>
  189. <div class="ttc" id="a00056_html"><div class="ttname"><a href="a00056.html">mat4x4.hpp</a></div><div class="ttdoc">Core features </div></div>
  190. <div class="ttc" id="a00371_html_gad7928795124768e058f99dce270f5c8d"><div class="ttname"><a href="a00371.html#gad7928795124768e058f99dce270f5c8d">glm::determinant</a></div><div class="ttdeci">GLM_FUNC_DECL T determinant(mat&lt; C, R, T, Q &gt; const &amp;m)</div><div class="ttdoc">Return the determinant of a squared matrix. </div></div>
  191. <div class="ttc" id="a00050_html"><div class="ttname"><a href="a00050.html">mat2x4.hpp</a></div><div class="ttdoc">Core features </div></div>
  192. <div class="ttc" id="a00371_html_gac29fb7bae75a8e4c1b74cbbf85520e50"><div class="ttname"><a href="a00371.html#gac29fb7bae75a8e4c1b74cbbf85520e50">glm::outerProduct</a></div><div class="ttdeci">GLM_FUNC_DECL detail::outerProduct_trait&lt; C, R, T, Q &gt;::type outerProduct(vec&lt; C, T, Q &gt; const &amp;c, vec&lt; R, T, Q &gt; const &amp;r)</div><div class="ttdoc">Treats the first parameter c as a column vector and the second parameter r as a row vector and does a...</div></div>
  193. <div class="ttc" id="a00055_html"><div class="ttname"><a href="a00055.html">mat4x3.hpp</a></div><div class="ttdoc">Core features </div></div>
  194. <div class="ttc" id="a00184_html"><div class="ttname"><a href="a00184.html">vec2.hpp</a></div><div class="ttdoc">Core features </div></div>
  195. <div class="ttc" id="a00371_html_gae679d841da8ce9dbcc6c2d454f15bc35"><div class="ttname"><a href="a00371.html#gae679d841da8ce9dbcc6c2d454f15bc35">glm::transpose</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; C, R, T, Q &gt;::transpose_type transpose(mat&lt; C, R, T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns the transposed matrix of x. </div></div>
  196. <div class="ttc" id="a00049_html"><div class="ttname"><a href="a00049.html">mat2x3.hpp</a></div><div class="ttdoc">Core features </div></div>
  197. <div class="ttc" id="a00054_html"><div class="ttname"><a href="a00054.html">mat4x2.hpp</a></div><div class="ttdoc">Core features </div></div>
  198. <div class="ttc" id="a00052_html"><div class="ttname"><a href="a00052.html">mat3x3.hpp</a></div><div class="ttdoc">Core features </div></div>
  199. <div class="ttc" id="a00186_html"><div class="ttname"><a href="a00186.html">vec4.hpp</a></div><div class="ttdoc">Core features </div></div>
  200. <div class="ttc" id="a00371_html_gaed509fe8129b01e4f20a6d0de5690091"><div class="ttname"><a href="a00371.html#gaed509fe8129b01e4f20a6d0de5690091">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; C, R, T, Q &gt; inverse(mat&lt; C, R, T, Q &gt; const &amp;m)</div><div class="ttdoc">Return the inverse of a squared matrix. </div></div>
  201. <div class="ttc" id="a00053_html"><div class="ttname"><a href="a00053.html">mat3x4.hpp</a></div><div class="ttdoc">Core features </div></div>
  202. <div class="ttc" id="a00051_html"><div class="ttname"><a href="a00051.html">mat3x2.hpp</a></div><div class="ttdoc">Core features </div></div>
  203. <div class="ttc" id="a00185_html"><div class="ttname"><a href="a00185.html">vec3.hpp</a></div><div class="ttdoc">Core features </div></div>
  204. <div class="ttc" id="a00048_html"><div class="ttname"><a href="a00048.html">mat2x2.hpp</a></div><div class="ttdoc">Core features </div></div>
  205. <div class="ttc" id="a00236_html"><div class="ttname"><a href="a00236.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00015_source.html#l00020">common.hpp:20</a></div></div>
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