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  106. <div class="headertitle"><div class="title">RotationEulerConstraintPart.h</div></div>
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  108. <div class="contents">
  109. <a href="_rotation_euler_constraint_part_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)</span></div>
  110. <div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// SPDX-FileCopyrightText: 2021 Jorrit Rouwe</span></div>
  111. <div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// SPDX-License-Identifier: MIT</span></div>
  112. <div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
  113. <div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#pragma once</span></div>
  114. <div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
  115. <div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include &lt;<a class="code" href="_body_8h.html">Jolt/Physics/Body/Body.h</a>&gt;</span></div>
  116. <div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#include &lt;<a class="code" href="_state_recorder_8h.html">Jolt/Physics/StateRecorder.h</a>&gt;</span></div>
  117. <div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> </div>
  118. <div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><a class="code hl_define" href="_core_8h.html#ad14098b68b8c44ea6112601031268405">JPH_NAMESPACE_BEGIN</a></div>
  119. <div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
  120. <div class="foldopen" id="foldopen00035" data-start="{" data-end="};">
  121. <div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html"> 35</a></span><span class="keyword">class </span><a class="code hl_class" href="class_rotation_euler_constraint_part.html">RotationEulerConstraintPart</a></div>
  122. <div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>{</div>
  123. <div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keyword">private</span>:</div>
  124. <div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> JPH_INLINE <span class="keywordtype">bool</span> ApplyVelocityStep(<a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody1, <a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody2, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inLambda)<span class="keyword"> const</span></div>
  125. <div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="keyword"> </span>{</div>
  126. <div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// Apply impulse if delta is not zero</span></div>
  127. <div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">if</span> (inLambda != <a class="code hl_function" href="class_vec3.html#ad03c52ab27761bc1e64e33c47632ba51">Vec3::sZero</a>())</div>
  128. <div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> {</div>
  129. <div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Calculate velocity change due to constraint</span></div>
  130. <div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">//</span></div>
  131. <div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// Impulse:</span></div>
  132. <div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// P = J^T lambda</span></div>
  133. <div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="comment">//</span></div>
  134. <div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// Euler velocity integration:</span></div>
  135. <div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// v&#39; = v + M^-1 P</span></div>
  136. <div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">if</span> (ioBody1.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>())</div>
  137. <div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> ioBody1.<a class="code hl_function" href="class_body.html#a0d39987255227c4221fcea66cb1fc041">GetMotionProperties</a>()-&gt;<a class="code hl_function" href="class_motion_properties.html#a98672fc0c6884643944e570e1d78ac07">SubAngularVelocityStep</a>(mInvI1.<a class="code hl_function" href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Multiply3x3</a>(inLambda));</div>
  138. <div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">if</span> (ioBody2.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>())</div>
  139. <div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> ioBody2.<a class="code hl_function" href="class_body.html#a0d39987255227c4221fcea66cb1fc041">GetMotionProperties</a>()-&gt;<a class="code hl_function" href="class_motion_properties.html#afb12aa823a651145b46b271570a7af59">AddAngularVelocityStep</a>(mInvI2.<a class="code hl_function" href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Multiply3x3</a>(inLambda));</div>
  140. <div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
  141. <div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
  142. <div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
  143. <div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
  144. <div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
  145. <div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
  146. <div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="keyword">public</span>:</div>
  147. <div class="foldopen" id="foldopen00063" data-start="{" data-end="}">
  148. <div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#a40c10735335691be99e7911139dc2884"> 63</a></span> <span class="keyword">static</span> <a class="code hl_class" href="class_quat.html">Quat</a> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#a40c10735335691be99e7911139dc2884">sGetInvInitialOrientation</a>(<span class="keyword">const</span> <a class="code hl_class" href="class_body.html">Body</a> &amp;inBody1, <span class="keyword">const</span> <a class="code hl_class" href="class_body.html">Body</a> &amp;inBody2)</div>
  149. <div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> {</div>
  150. <div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// q20 = q10 r0</span></div>
  151. <div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// &lt;=&gt; r0 = q10^-1 q20</span></div>
  152. <div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// &lt;=&gt; r0^-1 = q20^-1 q10</span></div>
  153. <div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">//</span></div>
  154. <div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// where:</span></div>
  155. <div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">//</span></div>
  156. <div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// q20 = initial orientation of body 2</span></div>
  157. <div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// q10 = initial orientation of body 1</span></div>
  158. <div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// r0 = initial rotation from body 1 to body 2</span></div>
  159. <div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span> inBody2.<a class="code hl_function" href="class_body.html#aaee24bfb5e32e756f50113b9d1f45a2c">GetRotation</a>().<a class="code hl_function" href="class_quat.html#ac69dfd8cdf79a19b8c3f385125ff5ddc">Conjugated</a>() * inBody1.<a class="code hl_function" href="class_body.html#aaee24bfb5e32e756f50113b9d1f45a2c">GetRotation</a>();</div>
  160. <div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
  161. </div>
  162. <div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
  163. <div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
  164. <div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#a6757c3b96eff4a145d9228fb1679222d"> 82</a></span> <span class="keyword">static</span> <a class="code hl_class" href="class_quat.html">Quat</a> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#a6757c3b96eff4a145d9228fb1679222d">sGetInvInitialOrientationXY</a>(<a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisX1, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisY1, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisX2, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisY2)</div>
  165. <div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> {</div>
  166. <div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// Store inverse of initial rotation from body 1 to body 2 in body 1 space:</span></div>
  167. <div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">//</span></div>
  168. <div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// q20 = q10 r0</span></div>
  169. <div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// &lt;=&gt; r0 = q10^-1 q20</span></div>
  170. <div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// &lt;=&gt; r0^-1 = q20^-1 q10</span></div>
  171. <div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">//</span></div>
  172. <div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// where:</span></div>
  173. <div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">//</span></div>
  174. <div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// q10, q20 = world space initial orientation of body 1 and 2</span></div>
  175. <div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// r0 = initial rotation from body 1 to body 2 in local space of body 1</span></div>
  176. <div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">//</span></div>
  177. <div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// We can also write this in terms of the constraint matrices:</span></div>
  178. <div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">//</span></div>
  179. <div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// q20 c2 = q10 c1</span></div>
  180. <div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// &lt;=&gt; q20 = q10 c1 c2^-1</span></div>
  181. <div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// =&gt; r0 = c1 c2^-1</span></div>
  182. <div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// &lt;=&gt; r0^-1 = c2 c1^-1</span></div>
  183. <div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">//</span></div>
  184. <div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// where:</span></div>
  185. <div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">//</span></div>
  186. <div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// c1, c2 = matrix that takes us from body 1 and 2 COM to constraint space 1 and 2</span></div>
  187. <div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">if</span> (inAxisX1 == inAxisX2 &amp;&amp; inAxisY1 == inAxisY2)</div>
  188. <div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> {</div>
  189. <div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// Axis are the same -&gt; identity transform</span></div>
  190. <div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">return</span> <a class="code hl_function" href="class_quat.html#a73a43fe262fbbbc0b1872d238b972794">Quat::sIdentity</a>();</div>
  191. <div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
  192. <div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">else</span></div>
  193. <div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> {</div>
  194. <div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> constraint1(<a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX1, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisY1, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX1.<a class="code hl_function" href="class_vec3.html#a224811af391ccfd1e05282eda22d1de8">Cross</a>(inAxisY1), 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 0, 0, 1));</div>
  195. <div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> constraint2(<a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX2, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisY2, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX2.<a class="code hl_function" href="class_vec3.html#a224811af391ccfd1e05282eda22d1de8">Cross</a>(inAxisY2), 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 0, 0, 1));</div>
  196. <div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">return</span> constraint2.<a class="code hl_function" href="class_mat44.html#a1e977c53b5f6a0c03f8da33ebef2c05a">GetQuaternion</a>() * constraint1.<a class="code hl_function" href="class_mat44.html#a1e977c53b5f6a0c03f8da33ebef2c05a">GetQuaternion</a>().<a class="code hl_function" href="class_quat.html#ac69dfd8cdf79a19b8c3f385125ff5ddc">Conjugated</a>();</div>
  197. <div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> }</div>
  198. <div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
  199. </div>
  200. <div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
  201. <div class="foldopen" id="foldopen00123" data-start="{" data-end="}">
  202. <div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#ae84f7a33a2d609dd5138c9a7f3f82f65"> 123</a></span> <span class="keyword">static</span> <a class="code hl_class" href="class_quat.html">Quat</a> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#ae84f7a33a2d609dd5138c9a7f3f82f65">sGetInvInitialOrientationXZ</a>(<a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisX1, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisZ1, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisX2, <a class="code hl_class" href="class_vec3.html">Vec3Arg</a> inAxisZ2)</div>
  203. <div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> {</div>
  204. <div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// See comment at sGetInvInitialOrientationXY</span></div>
  205. <div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">if</span> (inAxisX1 == inAxisX2 &amp;&amp; inAxisZ1 == inAxisZ2)</div>
  206. <div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> {</div>
  207. <div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">return</span> <a class="code hl_function" href="class_quat.html#a73a43fe262fbbbc0b1872d238b972794">Quat::sIdentity</a>();</div>
  208. <div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
  209. <div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">else</span></div>
  210. <div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> {</div>
  211. <div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> constraint1(<a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX1, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisZ1.<a class="code hl_function" href="class_vec3.html#a224811af391ccfd1e05282eda22d1de8">Cross</a>(inAxisX1), 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisZ1, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 0, 0, 1));</div>
  212. <div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> constraint2(<a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisX2, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisZ2.<a class="code hl_function" href="class_vec3.html#a224811af391ccfd1e05282eda22d1de8">Cross</a>(inAxisX2), 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(inAxisZ2, 0), <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 0, 0, 1));</div>
  213. <div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">return</span> constraint2.<a class="code hl_function" href="class_mat44.html#a1e977c53b5f6a0c03f8da33ebef2c05a">GetQuaternion</a>() * constraint1.<a class="code hl_function" href="class_mat44.html#a1e977c53b5f6a0c03f8da33ebef2c05a">GetQuaternion</a>().<a class="code hl_function" href="class_quat.html#ac69dfd8cdf79a19b8c3f385125ff5ddc">Conjugated</a>();</div>
  214. <div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
  215. <div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
  216. </div>
  217. <div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
  218. <div class="foldopen" id="foldopen00139" data-start="{" data-end="}">
  219. <div class="line"><a id="l00139" name="l00139"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#af37f613895af10af42c71f644fe3f2f5"> 139</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#af37f613895af10af42c71f644fe3f2f5">CalculateConstraintProperties</a>(<span class="keyword">const</span> <a class="code hl_class" href="class_body.html">Body</a> &amp;inBody1, <a class="code hl_class" href="class_mat44.html">Mat44Arg</a> inRotation1, <span class="keyword">const</span> <a class="code hl_class" href="class_body.html">Body</a> &amp;inBody2, <a class="code hl_class" href="class_mat44.html">Mat44Arg</a> inRotation2)</div>
  220. <div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> {</div>
  221. <div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Calculate properties used during constraint solving</span></div>
  222. <div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> mInvI1 = inBody1.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>()? inBody1.<a class="code hl_function" href="class_body.html#a0d39987255227c4221fcea66cb1fc041">GetMotionProperties</a>()-&gt;<a class="code hl_function" href="class_motion_properties.html#ab95f2b1c9b6bd9b6082f8cee8a7e1858">GetInverseInertiaForRotation</a>(inRotation1) : <a class="code hl_function" href="class_mat44.html#a1e3a8da1cf3a631ffaf478ca3f6bb1ed">Mat44::sZero</a>();</div>
  223. <div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> mInvI2 = inBody2.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>()? inBody2.<a class="code hl_function" href="class_body.html#a0d39987255227c4221fcea66cb1fc041">GetMotionProperties</a>()-&gt;<a class="code hl_function" href="class_motion_properties.html#ab95f2b1c9b6bd9b6082f8cee8a7e1858">GetInverseInertiaForRotation</a>(inRotation2) : <a class="code hl_function" href="class_mat44.html#a1e3a8da1cf3a631ffaf478ca3f6bb1ed">Mat44::sZero</a>();</div>
  224. <div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> </div>
  225. <div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// Calculate effective mass: K^-1 = (J M^-1 J^T)^-1</span></div>
  226. <div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> inertia_sum = mInvI1 + mInvI2;</div>
  227. <div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">if</span> (!mEffectiveMass.<a class="code hl_function" href="class_mat44.html#a814c04077820ea83f444ccc5ae48299f">SetInversed3x3</a>(inertia_sum))</div>
  228. <div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> {</div>
  229. <div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// If a column is zero, the axis is locked and we set the column to identity.</span></div>
  230. <div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// This does not matter because any impulse will always be multiplied with mInvI1 or mInvI2 which will result in zero for the locked coordinate.</span></div>
  231. <div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_class" href="class_vec4.html">Vec4</a> zero = <a class="code hl_function" href="class_vec4.html#ab3d9624594386baa4ebd8c1d340ce924">Vec4::sZero</a>();</div>
  232. <div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">if</span> (inertia_sum.<a class="code hl_function" href="class_mat44.html#a97c469ed78611039f85415381a67f312">GetColumn4</a>(0) == zero)</div>
  233. <div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> inertia_sum.<a class="code hl_function" href="class_mat44.html#ace29aeaafa5bbff8a159105fee78e2d2">SetColumn4</a>(0, <a class="code hl_class" href="class_vec4.html">Vec4</a>(1, 0, 0, 0));</div>
  234. <div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordflow">if</span> (inertia_sum.<a class="code hl_function" href="class_mat44.html#a97c469ed78611039f85415381a67f312">GetColumn4</a>(1) == zero)</div>
  235. <div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> inertia_sum.<a class="code hl_function" href="class_mat44.html#ace29aeaafa5bbff8a159105fee78e2d2">SetColumn4</a>(1, <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 1, 0, 0));</div>
  236. <div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span> (inertia_sum.<a class="code hl_function" href="class_mat44.html#a97c469ed78611039f85415381a67f312">GetColumn4</a>(2) == zero)</div>
  237. <div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> inertia_sum.<a class="code hl_function" href="class_mat44.html#ace29aeaafa5bbff8a159105fee78e2d2">SetColumn4</a>(2, <a class="code hl_class" href="class_vec4.html">Vec4</a>(0, 0, 1, 0));</div>
  238. <div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">if</span> (!mEffectiveMass.<a class="code hl_function" href="class_mat44.html#a814c04077820ea83f444ccc5ae48299f">SetInversed3x3</a>(inertia_sum))</div>
  239. <div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#ab5ff022582eb45db942a196a32795661">Deactivate</a>();</div>
  240. <div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
  241. <div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
  242. </div>
  243. <div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
  244. <div class="foldopen" id="foldopen00164" data-start="{" data-end="}">
  245. <div class="line"><a id="l00164" name="l00164"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#ab5ff022582eb45db942a196a32795661"> 164</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#ab5ff022582eb45db942a196a32795661">Deactivate</a>()</div>
  246. <div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> {</div>
  247. <div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> mEffectiveMass = <a class="code hl_function" href="class_mat44.html#a1e3a8da1cf3a631ffaf478ca3f6bb1ed">Mat44::sZero</a>();</div>
  248. <div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> mTotalLambda = <a class="code hl_function" href="class_vec3.html#ad03c52ab27761bc1e64e33c47632ba51">Vec3::sZero</a>();</div>
  249. <div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> }</div>
  250. </div>
  251. <div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> </div>
  252. <div class="foldopen" id="foldopen00171" data-start="{" data-end="}">
  253. <div class="line"><a id="l00171" name="l00171"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#a5580f01673bcbbde31fd75108d2866b4"> 171</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#a5580f01673bcbbde31fd75108d2866b4">IsActive</a>()<span class="keyword"> const</span></div>
  254. <div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span><span class="keyword"> </span>{</div>
  255. <div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">return</span> mEffectiveMass(3, 3) != 0.0f;</div>
  256. <div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> }</div>
  257. </div>
  258. <div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
  259. <div class="foldopen" id="foldopen00177" data-start="{" data-end="}">
  260. <div class="line"><a id="l00177" name="l00177"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#a492a0801dd2881d0ab58f9c8b0abfec8"> 177</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#a492a0801dd2881d0ab58f9c8b0abfec8">WarmStart</a>(<a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody1, <a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody2, <span class="keywordtype">float</span> inWarmStartImpulseRatio)</div>
  261. <div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> {</div>
  262. <div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> mTotalLambda *= inWarmStartImpulseRatio;</div>
  263. <div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> ApplyVelocityStep(ioBody1, ioBody2, mTotalLambda);</div>
  264. <div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
  265. </div>
  266. <div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
  267. <div class="foldopen" id="foldopen00184" data-start="{" data-end="}">
  268. <div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#af9a7e556643d4162eb300045d9a40df1"> 184</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#af9a7e556643d4162eb300045d9a40df1">SolveVelocityConstraint</a>(<a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody1, <a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody2)</div>
  269. <div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> {</div>
  270. <div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// Calculate lagrange multiplier:</span></div>
  271. <div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">//</span></div>
  272. <div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// lambda = -K^-1 (J v + b)</span></div>
  273. <div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <a class="code hl_class" href="class_vec3.html">Vec3</a> lambda = mEffectiveMass.<a class="code hl_function" href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Multiply3x3</a>(ioBody1.<a class="code hl_function" href="class_body.html#adb1bb49db094ac2ef7c4951d07ba8417">GetAngularVelocity</a>() - ioBody2.<a class="code hl_function" href="class_body.html#adb1bb49db094ac2ef7c4951d07ba8417">GetAngularVelocity</a>());</div>
  274. <div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> mTotalLambda += lambda;</div>
  275. <div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keywordflow">return</span> ApplyVelocityStep(ioBody1, ioBody2, lambda);</div>
  276. <div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> }</div>
  277. </div>
  278. <div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> </div>
  279. <div class="foldopen" id="foldopen00195" data-start="{" data-end="}">
  280. <div class="line"><a id="l00195" name="l00195"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#ab2276b37dd0f8eaf4229469def2627b6"> 195</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#ab2276b37dd0f8eaf4229469def2627b6">SolvePositionConstraint</a>(<a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody1, <a class="code hl_class" href="class_body.html">Body</a> &amp;ioBody2, <a class="code hl_class" href="class_quat.html">QuatArg</a> inInvInitialOrientation, <span class="keywordtype">float</span> inBaumgarte)<span class="keyword"> const</span></div>
  281. <div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span><span class="keyword"> </span>{</div>
  282. <div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// Calculate difference in rotation</span></div>
  283. <div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">//</span></div>
  284. <div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// The rotation should be:</span></div>
  285. <div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">//</span></div>
  286. <div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// q2 = q1 r0</span></div>
  287. <div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">//</span></div>
  288. <div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// But because of drift the actual rotation is</span></div>
  289. <div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">//</span></div>
  290. <div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// q2 = diff q1 r0</span></div>
  291. <div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// &lt;=&gt; diff = q2 r0^-1 q1^-1</span></div>
  292. <div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="comment">//</span></div>
  293. <div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// Where:</span></div>
  294. <div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// q1 = current rotation of body 1</span></div>
  295. <div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// q2 = current rotation of body 2</span></div>
  296. <div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// diff = error that needs to be reduced to zero</span></div>
  297. <div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_class" href="class_quat.html">Quat</a> diff = ioBody2.<a class="code hl_function" href="class_body.html#aaee24bfb5e32e756f50113b9d1f45a2c">GetRotation</a>() * inInvInitialOrientation * ioBody1.<a class="code hl_function" href="class_body.html#aaee24bfb5e32e756f50113b9d1f45a2c">GetRotation</a>().<a class="code hl_function" href="class_quat.html#ac69dfd8cdf79a19b8c3f385125ff5ddc">Conjugated</a>();</div>
  298. <div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
  299. <div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// A quaternion can be seen as:</span></div>
  300. <div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">//</span></div>
  301. <div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// q = [sin(theta / 2) * v, cos(theta/2)]</span></div>
  302. <div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">//</span></div>
  303. <div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// Where:</span></div>
  304. <div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// v = rotation vector</span></div>
  305. <div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// theta = rotation angle</span></div>
  306. <div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="comment">//</span></div>
  307. <div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="comment">// If we assume theta is small (error is small) then sin(x) = x so an approximation of the error angles is:</span></div>
  308. <div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_class" href="class_vec3.html">Vec3</a> error = 2.0f * diff.<a class="code hl_function" href="class_quat.html#a9f563ca8c8a8b71a0aa340d12080c2ef">EnsureWPositive</a>().<a class="code hl_function" href="class_quat.html#afa7fe10bf8a457fb2d524791ccd79ec4">GetXYZ</a>();</div>
  309. <div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">if</span> (error != <a class="code hl_function" href="class_vec3.html#ad03c52ab27761bc1e64e33c47632ba51">Vec3::sZero</a>())</div>
  310. <div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> {</div>
  311. <div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// Calculate lagrange multiplier (lambda) for Baumgarte stabilization:</span></div>
  312. <div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">//</span></div>
  313. <div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// lambda = -K^-1 * beta / dt * C</span></div>
  314. <div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="comment">//</span></div>
  315. <div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// We should divide by inDeltaTime, but we should multiply by inDeltaTime in the Euler step below so they&#39;re cancelled out</span></div>
  316. <div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <a class="code hl_class" href="class_vec3.html">Vec3</a> lambda = -inBaumgarte * mEffectiveMass * error;</div>
  317. <div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
  318. <div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="comment">// Directly integrate velocity change for one time step</span></div>
  319. <div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="comment">//</span></div>
  320. <div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="comment">// Euler velocity integration:</span></div>
  321. <div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// dv = M^-1 P</span></div>
  322. <div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="comment">//</span></div>
  323. <div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="comment">// Impulse:</span></div>
  324. <div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// P = J^T lambda</span></div>
  325. <div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="comment">//</span></div>
  326. <div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Euler position integration:</span></div>
  327. <div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// x&#39; = x + dv * dt</span></div>
  328. <div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="comment">//</span></div>
  329. <div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// Note we don&#39;t accumulate velocities for the stabilization. This is using the approach described in &#39;Modeling and</span></div>
  330. <div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="comment">// Solving Constraints&#39; by Erin Catto presented at GDC 2007. On slide 78 it is suggested to split up the Baumgarte</span></div>
  331. <div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// stabilization for positional drift so that it does not actually add to the momentum. We combine an Euler velocity</span></div>
  332. <div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// integrate + a position integrate and then discard the velocity change.</span></div>
  333. <div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">if</span> (ioBody1.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>())</div>
  334. <div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> ioBody1.<a class="code hl_function" href="class_body.html#ab0df53d82e3a8356fac91d178b30c369">SubRotationStep</a>(mInvI1.<a class="code hl_function" href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Multiply3x3</a>(lambda));</div>
  335. <div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keywordflow">if</span> (ioBody2.<a class="code hl_function" href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">IsDynamic</a>())</div>
  336. <div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> ioBody2.<a class="code hl_function" href="class_body.html#a3385650a73d75c7d9c16d13ea2d5519f">AddRotationStep</a>(mInvI2.<a class="code hl_function" href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Multiply3x3</a>(lambda));</div>
  337. <div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
  338. <div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> }</div>
  339. <div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
  340. <div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
  341. <div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> }</div>
  342. </div>
  343. <div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> </div>
  344. <div class="foldopen" id="foldopen00259" data-start="{" data-end="}">
  345. <div class="line"><a id="l00259" name="l00259"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#aada1e7c8fcf62c1674aa5080cd70687e"> 259</a></span> <a class="code hl_class" href="class_vec3.html">Vec3</a> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#aada1e7c8fcf62c1674aa5080cd70687e">GetTotalLambda</a>()<span class="keyword"> const</span></div>
  346. <div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="keyword"> </span>{</div>
  347. <div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">return</span> mTotalLambda;</div>
  348. <div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> }</div>
  349. </div>
  350. <div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> </div>
  351. <div class="foldopen" id="foldopen00265" data-start="{" data-end="}">
  352. <div class="line"><a id="l00265" name="l00265"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#afda34f355272d02e5daf8103639b22bf"> 265</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#afda34f355272d02e5daf8103639b22bf">SaveState</a>(<a class="code hl_class" href="class_state_recorder.html">StateRecorder</a> &amp;inStream)<span class="keyword"> const</span></div>
  353. <div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span><span class="keyword"> </span>{</div>
  354. <div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> inStream.<a class="code hl_function" href="class_stream_out.html#a879dce6c6c6ca5e63835fe61cc745966">Write</a>(mTotalLambda);</div>
  355. <div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> }</div>
  356. </div>
  357. <div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
  358. <div class="foldopen" id="foldopen00271" data-start="{" data-end="}">
  359. <div class="line"><a id="l00271" name="l00271"></a><span class="lineno"><a class="line" href="class_rotation_euler_constraint_part.html#aba8f2a3ca2aa7ab982b16499cf938ee3"> 271</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="class_rotation_euler_constraint_part.html#aba8f2a3ca2aa7ab982b16499cf938ee3">RestoreState</a>(<a class="code hl_class" href="class_state_recorder.html">StateRecorder</a> &amp;inStream)</div>
  360. <div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> {</div>
  361. <div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> inStream.<a class="code hl_function" href="class_stream_in.html#a5ae9304c310edfc5ef1c67a95e36b1f3">Read</a>(mTotalLambda);</div>
  362. <div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> }</div>
  363. </div>
  364. <div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> </div>
  365. <div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span><span class="keyword">private</span>:</div>
  366. <div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> mInvI1;</div>
  367. <div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> mInvI2;</div>
  368. <div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_class" href="class_mat44.html">Mat44</a> mEffectiveMass;</div>
  369. <div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <a class="code hl_class" href="class_vec3.html">Vec3</a> mTotalLambda { <a class="code hl_function" href="class_vec3.html#ad03c52ab27761bc1e64e33c47632ba51">Vec3::sZero</a>() };</div>
  370. <div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span>};</div>
  371. </div>
  372. <div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
  373. <div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span><a class="code hl_define" href="_core_8h.html#a73da8725998b00321a9db341202d650d">JPH_NAMESPACE_END</a></div>
  374. <div class="ttc" id="a_body_8h_html"><div class="ttname"><a href="_body_8h.html">Body.h</a></div></div>
  375. <div class="ttc" id="a_core_8h_html_a73da8725998b00321a9db341202d650d"><div class="ttname"><a href="_core_8h.html#a73da8725998b00321a9db341202d650d">JPH_NAMESPACE_END</a></div><div class="ttdeci">#define JPH_NAMESPACE_END</div><div class="ttdef"><b>Definition</b> Core.h:425</div></div>
  376. <div class="ttc" id="a_core_8h_html_ad14098b68b8c44ea6112601031268405"><div class="ttname"><a href="_core_8h.html#ad14098b68b8c44ea6112601031268405">JPH_NAMESPACE_BEGIN</a></div><div class="ttdeci">#define JPH_NAMESPACE_BEGIN</div><div class="ttdef"><b>Definition</b> Core.h:419</div></div>
  377. <div class="ttc" id="a_state_recorder_8h_html"><div class="ttname"><a href="_state_recorder_8h.html">StateRecorder.h</a></div></div>
  378. <div class="ttc" id="aclass_body_html"><div class="ttname"><a href="class_body.html">Body</a></div><div class="ttdef"><b>Definition</b> Body.h:39</div></div>
  379. <div class="ttc" id="aclass_body_html_a0d39987255227c4221fcea66cb1fc041"><div class="ttname"><a href="class_body.html#a0d39987255227c4221fcea66cb1fc041">Body::GetMotionProperties</a></div><div class="ttdeci">const MotionProperties * GetMotionProperties() const</div><div class="ttdoc">Access to the motion properties.</div><div class="ttdef"><b>Definition</b> Body.h:308</div></div>
  380. <div class="ttc" id="aclass_body_html_a1b21c30907c8c9ce30c176a054057bef"><div class="ttname"><a href="class_body.html#a1b21c30907c8c9ce30c176a054057bef">Body::IsDynamic</a></div><div class="ttdeci">bool IsDynamic() const</div><div class="ttdoc">Check if this body is dynamic, which means that it moves and forces can act on it.</div><div class="ttdef"><b>Definition</b> Body.h:67</div></div>
  381. <div class="ttc" id="aclass_body_html_a3385650a73d75c7d9c16d13ea2d5519f"><div class="ttname"><a href="class_body.html#a3385650a73d75c7d9c16d13ea2d5519f">Body::AddRotationStep</a></div><div class="ttdeci">void AddRotationStep(Vec3Arg inAngularVelocityTimesDeltaTime)</div><div class="ttdoc">Update rotation using an Euler step (used during position integrate &amp; constraint solving)</div><div class="ttdef"><b>Definition</b> Body.inl:81</div></div>
  382. <div class="ttc" id="aclass_body_html_aaee24bfb5e32e756f50113b9d1f45a2c"><div class="ttname"><a href="class_body.html#aaee24bfb5e32e756f50113b9d1f45a2c">Body::GetRotation</a></div><div class="ttdeci">Quat GetRotation() const</div><div class="ttdoc">World space rotation of the body.</div><div class="ttdef"><b>Definition</b> Body.h:271</div></div>
  383. <div class="ttc" id="aclass_body_html_ab0df53d82e3a8356fac91d178b30c369"><div class="ttname"><a href="class_body.html#ab0df53d82e3a8356fac91d178b30c369">Body::SubRotationStep</a></div><div class="ttdeci">void SubRotationStep(Vec3Arg inAngularVelocityTimesDeltaTime)</div><div class="ttdef"><b>Definition</b> Body.inl:100</div></div>
  384. <div class="ttc" id="aclass_body_html_adb1bb49db094ac2ef7c4951d07ba8417"><div class="ttname"><a href="class_body.html#adb1bb49db094ac2ef7c4951d07ba8417">Body::GetAngularVelocity</a></div><div class="ttdeci">Vec3 GetAngularVelocity() const</div><div class="ttdoc">Get world space angular velocity of the center of mass (unit: rad/s)</div><div class="ttdef"><b>Definition</b> Body.h:161</div></div>
  385. <div class="ttc" id="aclass_mat44_html"><div class="ttname"><a href="class_mat44.html">Mat44</a></div><div class="ttdoc">Holds a 4x4 matrix of floats, but supports also operations on the 3x3 upper left part of the matrix.</div><div class="ttdef"><b>Definition</b> Mat44.h:13</div></div>
  386. <div class="ttc" id="aclass_mat44_html_a1e3a8da1cf3a631ffaf478ca3f6bb1ed"><div class="ttname"><a href="class_mat44.html#a1e3a8da1cf3a631ffaf478ca3f6bb1ed">Mat44::sZero</a></div><div class="ttdeci">static JPH_INLINE Mat44 sZero()</div><div class="ttdoc">Zero matrix.</div><div class="ttdef"><b>Definition</b> Mat44.inl:30</div></div>
  387. <div class="ttc" id="aclass_mat44_html_a1e977c53b5f6a0c03f8da33ebef2c05a"><div class="ttname"><a href="class_mat44.html#a1e977c53b5f6a0c03f8da33ebef2c05a">Mat44::GetQuaternion</a></div><div class="ttdeci">JPH_INLINE Quat GetQuaternion() const</div><div class="ttdoc">Convert to quaternion.</div><div class="ttdef"><b>Definition</b> Mat44.inl:783</div></div>
  388. <div class="ttc" id="aclass_mat44_html_a814c04077820ea83f444ccc5ae48299f"><div class="ttname"><a href="class_mat44.html#a814c04077820ea83f444ccc5ae48299f">Mat44::SetInversed3x3</a></div><div class="ttdeci">JPH_INLINE bool SetInversed3x3(Mat44Arg inM)</div><div class="ttdoc">*this = inM.Inversed3x3(), returns false if the matrix is singular in which case *this is unchanged</div><div class="ttdef"><b>Definition</b> Mat44.inl:767</div></div>
  389. <div class="ttc" id="aclass_mat44_html_a97c469ed78611039f85415381a67f312"><div class="ttname"><a href="class_mat44.html#a97c469ed78611039f85415381a67f312">Mat44::GetColumn4</a></div><div class="ttdeci">JPH_INLINE Vec4 GetColumn4(uint inCol) const</div><div class="ttdef"><b>Definition</b> Mat44.h:160</div></div>
  390. <div class="ttc" id="aclass_mat44_html_ab599aaeab3e4b832f7f4097816650b14"><div class="ttname"><a href="class_mat44.html#ab599aaeab3e4b832f7f4097816650b14">Mat44::Multiply3x3</a></div><div class="ttdeci">JPH_INLINE Vec3 Multiply3x3(Vec3Arg inV) const</div><div class="ttdoc">Multiply vector by only 3x3 part of the matrix.</div><div class="ttdef"><b>Definition</b> Mat44.inl:316</div></div>
  391. <div class="ttc" id="aclass_mat44_html_ace29aeaafa5bbff8a159105fee78e2d2"><div class="ttname"><a href="class_mat44.html#ace29aeaafa5bbff8a159105fee78e2d2">Mat44::SetColumn4</a></div><div class="ttdeci">JPH_INLINE void SetColumn4(uint inCol, Vec4Arg inV)</div><div class="ttdef"><b>Definition</b> Mat44.h:161</div></div>
  392. <div class="ttc" id="aclass_motion_properties_html_a98672fc0c6884643944e570e1d78ac07"><div class="ttname"><a href="class_motion_properties.html#a98672fc0c6884643944e570e1d78ac07">MotionProperties::SubAngularVelocityStep</a></div><div class="ttdeci">void SubAngularVelocityStep(Vec3Arg inAngularVelocityChange)</div><div class="ttdef"><b>Definition</b> MotionProperties.h:220</div></div>
  393. <div class="ttc" id="aclass_motion_properties_html_ab95f2b1c9b6bd9b6082f8cee8a7e1858"><div class="ttname"><a href="class_motion_properties.html#ab95f2b1c9b6bd9b6082f8cee8a7e1858">MotionProperties::GetInverseInertiaForRotation</a></div><div class="ttdeci">Mat44 GetInverseInertiaForRotation(Mat44Arg inRotation) const</div><div class="ttdoc">Get inverse inertia matrix ( ) for a given object rotation (translation will be ignored)....</div><div class="ttdef"><b>Definition</b> MotionProperties.inl:69</div></div>
  394. <div class="ttc" id="aclass_motion_properties_html_afb12aa823a651145b46b271570a7af59"><div class="ttname"><a href="class_motion_properties.html#afb12aa823a651145b46b271570a7af59">MotionProperties::AddAngularVelocityStep</a></div><div class="ttdeci">void AddAngularVelocityStep(Vec3Arg inAngularVelocityChange)</div><div class="ttdef"><b>Definition</b> MotionProperties.h:219</div></div>
  395. <div class="ttc" id="aclass_quat_html"><div class="ttname"><a href="class_quat.html">Quat</a></div><div class="ttdef"><b>Definition</b> Quat.h:33</div></div>
  396. <div class="ttc" id="aclass_quat_html_a73a43fe262fbbbc0b1872d238b972794"><div class="ttname"><a href="class_quat.html#a73a43fe262fbbbc0b1872d238b972794">Quat::sIdentity</a></div><div class="ttdeci">static JPH_INLINE Quat sIdentity()</div><div class="ttdef"><b>Definition</b> Quat.h:104</div></div>
  397. <div class="ttc" id="aclass_quat_html_a9f563ca8c8a8b71a0aa340d12080c2ef"><div class="ttname"><a href="class_quat.html#a9f563ca8c8a8b71a0aa340d12080c2ef">Quat::EnsureWPositive</a></div><div class="ttdeci">JPH_INLINE Quat EnsureWPositive() const</div><div class="ttdoc">Ensures that the W component is positive by negating the entire quaternion if it is not....</div><div class="ttdef"><b>Definition</b> Quat.h:188</div></div>
  398. <div class="ttc" id="aclass_quat_html_ac69dfd8cdf79a19b8c3f385125ff5ddc"><div class="ttname"><a href="class_quat.html#ac69dfd8cdf79a19b8c3f385125ff5ddc">Quat::Conjugated</a></div><div class="ttdeci">JPH_INLINE Quat Conjugated() const</div><div class="ttdoc">The conjugate [w, -x, -y, -z] is the same as the inverse for unit quaternions.</div><div class="ttdef"><b>Definition</b> Quat.h:182</div></div>
  399. <div class="ttc" id="aclass_quat_html_afa7fe10bf8a457fb2d524791ccd79ec4"><div class="ttname"><a href="class_quat.html#afa7fe10bf8a457fb2d524791ccd79ec4">Quat::GetXYZ</a></div><div class="ttdeci">JPH_INLINE Vec3 GetXYZ() const</div><div class="ttdoc">Get the imaginary part of the quaternion.</div><div class="ttdef"><b>Definition</b> Quat.h:82</div></div>
  400. <div class="ttc" id="aclass_rotation_euler_constraint_part_html"><div class="ttname"><a href="class_rotation_euler_constraint_part.html">RotationEulerConstraintPart</a></div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:36</div></div>
  401. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_a40c10735335691be99e7911139dc2884"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#a40c10735335691be99e7911139dc2884">RotationEulerConstraintPart::sGetInvInitialOrientation</a></div><div class="ttdeci">static Quat sGetInvInitialOrientation(const Body &amp;inBody1, const Body &amp;inBody2)</div><div class="ttdoc">Return inverse of initial rotation from body 1 to body 2 in body 1 space.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:63</div></div>
  402. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_a492a0801dd2881d0ab58f9c8b0abfec8"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#a492a0801dd2881d0ab58f9c8b0abfec8">RotationEulerConstraintPart::WarmStart</a></div><div class="ttdeci">void WarmStart(Body &amp;ioBody1, Body &amp;ioBody2, float inWarmStartImpulseRatio)</div><div class="ttdoc">Must be called from the WarmStartVelocityConstraint call to apply the previous frame's impulses.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:177</div></div>
  403. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_a5580f01673bcbbde31fd75108d2866b4"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#a5580f01673bcbbde31fd75108d2866b4">RotationEulerConstraintPart::IsActive</a></div><div class="ttdeci">bool IsActive() const</div><div class="ttdoc">Check if constraint is active.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:171</div></div>
  404. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_a6757c3b96eff4a145d9228fb1679222d"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#a6757c3b96eff4a145d9228fb1679222d">RotationEulerConstraintPart::sGetInvInitialOrientationXY</a></div><div class="ttdeci">static Quat sGetInvInitialOrientationXY(Vec3Arg inAxisX1, Vec3Arg inAxisY1, Vec3Arg inAxisX2, Vec3Arg inAxisY2)</div><div class="ttdoc">Return inverse of initial rotation from body 1 to body 2 in body 1 space.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:82</div></div>
  405. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_aada1e7c8fcf62c1674aa5080cd70687e"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#aada1e7c8fcf62c1674aa5080cd70687e">RotationEulerConstraintPart::GetTotalLambda</a></div><div class="ttdeci">Vec3 GetTotalLambda() const</div><div class="ttdoc">Return lagrange multiplier.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:259</div></div>
  406. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_ab2276b37dd0f8eaf4229469def2627b6"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#ab2276b37dd0f8eaf4229469def2627b6">RotationEulerConstraintPart::SolvePositionConstraint</a></div><div class="ttdeci">bool SolvePositionConstraint(Body &amp;ioBody1, Body &amp;ioBody2, QuatArg inInvInitialOrientation, float inBaumgarte) const</div><div class="ttdoc">Iteratively update the position constraint. Makes sure C(...) = 0.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:195</div></div>
  407. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_ab5ff022582eb45db942a196a32795661"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#ab5ff022582eb45db942a196a32795661">RotationEulerConstraintPart::Deactivate</a></div><div class="ttdeci">void Deactivate()</div><div class="ttdoc">Deactivate this constraint.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:164</div></div>
  408. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_aba8f2a3ca2aa7ab982b16499cf938ee3"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#aba8f2a3ca2aa7ab982b16499cf938ee3">RotationEulerConstraintPart::RestoreState</a></div><div class="ttdeci">void RestoreState(StateRecorder &amp;inStream)</div><div class="ttdoc">Restore state of this constraint part.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:271</div></div>
  409. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_ae84f7a33a2d609dd5138c9a7f3f82f65"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#ae84f7a33a2d609dd5138c9a7f3f82f65">RotationEulerConstraintPart::sGetInvInitialOrientationXZ</a></div><div class="ttdeci">static Quat sGetInvInitialOrientationXZ(Vec3Arg inAxisX1, Vec3Arg inAxisZ1, Vec3Arg inAxisX2, Vec3Arg inAxisZ2)</div><div class="ttdoc">Return inverse of initial rotation from body 1 to body 2 in body 1 space.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:123</div></div>
  410. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_af37f613895af10af42c71f644fe3f2f5"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#af37f613895af10af42c71f644fe3f2f5">RotationEulerConstraintPart::CalculateConstraintProperties</a></div><div class="ttdeci">void CalculateConstraintProperties(const Body &amp;inBody1, Mat44Arg inRotation1, const Body &amp;inBody2, Mat44Arg inRotation2)</div><div class="ttdoc">Calculate properties used during the functions below.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:139</div></div>
  411. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_af9a7e556643d4162eb300045d9a40df1"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#af9a7e556643d4162eb300045d9a40df1">RotationEulerConstraintPart::SolveVelocityConstraint</a></div><div class="ttdeci">bool SolveVelocityConstraint(Body &amp;ioBody1, Body &amp;ioBody2)</div><div class="ttdoc">Iteratively update the velocity constraint. Makes sure d/dt C(...) = 0, where C is the constraint equ...</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:184</div></div>
  412. <div class="ttc" id="aclass_rotation_euler_constraint_part_html_afda34f355272d02e5daf8103639b22bf"><div class="ttname"><a href="class_rotation_euler_constraint_part.html#afda34f355272d02e5daf8103639b22bf">RotationEulerConstraintPart::SaveState</a></div><div class="ttdeci">void SaveState(StateRecorder &amp;inStream) const</div><div class="ttdoc">Save state of this constraint part.</div><div class="ttdef"><b>Definition</b> RotationEulerConstraintPart.h:265</div></div>
  413. <div class="ttc" id="aclass_state_recorder_html"><div class="ttname"><a href="class_state_recorder.html">StateRecorder</a></div><div class="ttdef"><b>Definition</b> StateRecorder.h:110</div></div>
  414. <div class="ttc" id="aclass_stream_in_html_a5ae9304c310edfc5ef1c67a95e36b1f3"><div class="ttname"><a href="class_stream_in.html#a5ae9304c310edfc5ef1c67a95e36b1f3">StreamIn::Read</a></div><div class="ttdeci">void Read(T &amp;outT)</div><div class="ttdoc">Read a primitive (e.g. float, int, etc.) from the binary stream.</div><div class="ttdef"><b>Definition</b> StreamIn.h:30</div></div>
  415. <div class="ttc" id="aclass_stream_out_html_a879dce6c6c6ca5e63835fe61cc745966"><div class="ttname"><a href="class_stream_out.html#a879dce6c6c6ca5e63835fe61cc745966">StreamOut::Write</a></div><div class="ttdeci">void Write(const T &amp;inT)</div><div class="ttdoc">Write a primitive (e.g. float, int, etc.) to the binary stream.</div><div class="ttdef"><b>Definition</b> StreamOut.h:26</div></div>
  416. <div class="ttc" id="aclass_vec3_html"><div class="ttname"><a href="class_vec3.html">Vec3</a></div><div class="ttdef"><b>Definition</b> Vec3.h:17</div></div>
  417. <div class="ttc" id="aclass_vec3_html_a224811af391ccfd1e05282eda22d1de8"><div class="ttname"><a href="class_vec3.html#a224811af391ccfd1e05282eda22d1de8">Vec3::Cross</a></div><div class="ttdeci">JPH_INLINE Vec3 Cross(Vec3Arg inV2) const</div><div class="ttdoc">Cross product.</div><div class="ttdef"><b>Definition</b> Vec3.inl:595</div></div>
  418. <div class="ttc" id="aclass_vec3_html_ad03c52ab27761bc1e64e33c47632ba51"><div class="ttname"><a href="class_vec3.html#ad03c52ab27761bc1e64e33c47632ba51">Vec3::sZero</a></div><div class="ttdeci">static JPH_INLINE Vec3 sZero()</div><div class="ttdoc">Vector with all zeros.</div><div class="ttdef"><b>Definition</b> Vec3.inl:103</div></div>
  419. <div class="ttc" id="aclass_vec4_html"><div class="ttname"><a href="class_vec4.html">Vec4</a></div><div class="ttdef"><b>Definition</b> Vec4.h:14</div></div>
  420. <div class="ttc" id="aclass_vec4_html_ab3d9624594386baa4ebd8c1d340ce924"><div class="ttname"><a href="class_vec4.html#ab3d9624594386baa4ebd8c1d340ce924">Vec4::sZero</a></div><div class="ttdeci">static JPH_INLINE Vec4 sZero()</div><div class="ttdoc">Vector with all zeros.</div><div class="ttdef"><b>Definition</b> Vec4.inl:63</div></div>
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