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<div class="title">rotatingAxisI.hpp</div> </div>
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<a href="rotatingAxisI_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*------------------------------- phasicFlow ---------------------------------</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> O C enter of</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> O O E ngineering and</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> O O M ultiscale modeling of</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> OOOOOOO F luid flow </span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> Copyright (C): www.cemf.ir</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> email: hamid.r.norouzi AT gmail.com</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">------------------------------------------------------------------------------ </span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">Licence:</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> This file is part of phasicFlow code. It is a free software for simulating </span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> granular and multiphase flows. You can redistribute it and/or modify it under</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> the terms of GNU General Public License v3 or any other later versions. </span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> </span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> phasicFlow is distributed to help others in their research in the field of </span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> granular and multiphase flows, but WITHOUT ANY WARRANTY; without even the</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"></span> </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">-----------------------------------------------------------------------------*/</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classpFlow_1_1rotatingAxis.html#a55582df178e4122c1df4b31369ba3aaf"> 22</a></span> <a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="classpFlow_1_1rotatingAxis.html#a55582df178e4122c1df4b31369ba3aaf">pFlow::rotatingAxis::linTangentialVelocityPoint</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &p)<span class="keyword">const</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">if</span>(!<a class="code" href="classpFlow_1_1timeInterval.html#a690a47d7890165ea3dd242b11fafc07a">inTimeRange</a>()) <span class="keywordflow">return</span> {0,0,0};</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="code" href="classpFlow_1_1triple.html">realx3</a> L = p - <a class="code" href="classpFlow_1_1line.html#a03c6784ff46ffab948664762095b0c47">projectPoint</a>(p);</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">return</span> <a class="code" href="tripleFwd_8hpp.html#a7a724b824f9e21a646a965a99fff4b04">cross</a>(<a class="code" href="classpFlow_1_1rotatingAxis.html#a27e85702bf8a1c61f589ca982c52960c">omega_</a>*<a class="code" href="classpFlow_1_1line.html#abb0d399741c593f97fcb61c3ebe2bc10">unitVector</a>(),L);</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> }</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="rotatingAxisFwd_8hpp.html#a2a2904c6b466578f9847a75205e7c648">pFlow::rotate</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>& p, <span class="keyword">const</span> <a class="code" href="classpFlow_1_1rotatingAxis.html">rotatingAxis</a>& ax, <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> dt)</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">if</span>(!ax.<a class="code" href="classpFlow_1_1timeInterval.html#aaf553eb9b0ebeb5e9454a3cecbe543a8">inTimeRange</a>()) <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="classpFlow_1_1triple.html">realx3</a> nv = ax.<a class="code" href="classpFlow_1_1line.html#abb0d399741c593f97fcb61c3ebe2bc10">unitVector</a>();</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> cos_tet = <a class="code" href="namespacepFlow.html#ac16cb27d8952272fc2cdd82bd5cfc19e">cos</a>(ax.<a class="code" href="classpFlow_1_1rotatingAxis.html#ace8e5e2121508deb77808a42dab458cf">omega</a>()*dt);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> sin_tet = <a class="code" href="namespacepFlow.html#aee6110d73360fe9b98a9a0b5d6517f5b">sin</a>(ax.<a class="code" href="classpFlow_1_1rotatingAxis.html#ace8e5e2121508deb77808a42dab458cf">omega</a>()*dt);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u2 = nv.<a class="code" href="classpFlow_1_1triple.html#a2f365146ce767d3de7ae125abd193b33">x</a>()*nv.<a class="code" href="classpFlow_1_1triple.html#a2f365146ce767d3de7ae125abd193b33">x</a>();</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> v2 = nv.<a class="code" href="classpFlow_1_1triple.html#a28d901cc27d3756a830e4de5a484b967">y</a>()*nv.<a class="code" href="classpFlow_1_1triple.html#a28d901cc27d3756a830e4de5a484b967">y</a>();</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w2 = nv.<a class="code" href="classpFlow_1_1triple.html#a5c836d3919741edf1ba805c98dbd21b7">z</a>()*nv.<a class="code" href="classpFlow_1_1triple.html#a5c836d3919741edf1ba805c98dbd21b7">z</a>();</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="classpFlow_1_1triple.html">realx3</a> lp1 = ax.<a class="code" href="classpFlow_1_1line.html#a3e567d88cfb67880bd9b7bff731a1bca">point1</a>();</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// (a(v2+w2) - u( bv + cw - ux - vy - wz)) (1-cos_tet) + x cos_tet + (- cv + bw - wy + vz) sin_tet </span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="classpFlow_1_1triple.html">realx3</a> res;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  res.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> = (lp1.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*(v2 + w2) - (nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*(lp1.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> + lp1.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> * cos_tet +</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  (-lp1.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> + lp1.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> + nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>) * sin_tet;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// ( b(u2+w2) - v( au + cw - ux - vy - wz))(1-cos_tet) + y cos_tet + ( cu - aw + wx - uz ) sin_tet</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  res.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> = (lp1.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*(u2 + w2) - (nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*(lp1.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> + lp1.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> * cos_tet +</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  (lp1.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> - lp1.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> + nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>) * sin_tet;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// (c(u2+v2) - w( au + bv - ux - vy - wz ))(1-cos_tet) + z cos_tet + (-bu + av - vx + uy) sin_tet</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  res.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> = (lp1.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*(u2 + v2) - (nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*(lp1.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> + lp1.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>*p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a>)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  p.<a class="code" href="classpFlow_1_1triple.html#abdc5fb2fe39f8f2e806479466fbf4141">z_</a> * cos_tet +</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  (-lp1.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> + lp1.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a> - nv.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>*p.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> + nv.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a>*p.<a class="code" href="classpFlow_1_1triple.html#a644d1b6657ad3f073d95487bdd5d08a9">y_</a>) * sin_tet;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">return</span> res; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="rotatingAxisFwd_8hpp.html#a2a2904c6b466578f9847a75205e7c648">pFlow::rotate</a>(<span class="keyword">const</span> <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> &p, <span class="keyword">const</span> line& ln, <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> theta)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> nv = ln.unitVector();</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> cos_tet = <a class="code" href="namespacepFlow.html#ac16cb27d8952272fc2cdd82bd5cfc19e">cos</a>(theta);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> sin_tet = <a class="code" href="namespacepFlow.html#aee6110d73360fe9b98a9a0b5d6517f5b">sin</a>(theta);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u2 = nv.x()*nv.x();</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> v2 = nv.y()*nv.y();</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w2 = nv.z()*nv.z();</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> lp1 = ln.point1();</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// (a(v2+w2) - u( bv + cw - ux - vy - wz)) (1-cos_tet) + x cos_tet + (- cv + bw - wy + vz) sin_tet </span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> res;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  res.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> = (lp1.x_*(v2 + w2) - (nv.x_*(lp1.y_*nv.y_ + lp1.z_*nv.z_ - nv.x_*p.x_ - nv.y_*p.y_ - nv.z_*p.z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  p.x_ * cos_tet +</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  (-lp1.z_*nv.y_ + lp1.y_*nv.z_ - nv.z_*p.y_ + nv.y_*p.z_) * sin_tet;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// ( b(u2+w2) - v( au + cw - ux - vy - wz))(1-cos_tet) + y cos_tet + ( cu - aw + wx - uz ) sin_tet</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  res.y_ = (lp1.y_*(u2 + w2) - (nv.y_*(lp1.x_*nv.x_ + lp1.z_*nv.z_ - nv.x_*p.x_ - nv.y_*p.y_ - nv.z_*p.z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  p.y_ * cos_tet +</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  (lp1.z_*nv.x_ - lp1.x_*nv.z_ + nv.z_*p.x_ - nv.x_*p.z_) * sin_tet;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// (c(u2+v2) - w( au + bv - ux - vy - wz ))(1-cos_tet) + z cos_tet + (-bu + av - vx + uy) sin_tet</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  res.z_ = (lp1.z_*(u2 + v2) - (nv.z_*(lp1.x_*nv.x_ + lp1.y_*nv.y_ - nv.x_*p.x_ - nv.y_*p.y_ - nv.z_*p.z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  p.z_ * cos_tet +</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  (-lp1.y_*nv.x_ + lp1.x_*nv.y_ - nv.y_*p.x_ + nv.x_*p.y_) * sin_tet;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="keywordtype">void</span> <a class="code" href="rotatingAxisFwd_8hpp.html#a2a2904c6b466578f9847a75205e7c648">pFlow::rotate</a>(<a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>* p, <span class="keywordtype">size_t</span> <a class="code" href="NBSCrossLoop_8hpp.html#aad8b608072a1b6dcd9e91de38ee2925f">n</a>, <span class="keyword">const</span> line& ln, <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> theta)</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> {</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> nv = ln.unitVector();</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> cos_tet = <a class="code" href="namespacepFlow.html#ac16cb27d8952272fc2cdd82bd5cfc19e">cos</a>(theta);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> sin_tet = <a class="code" href="namespacepFlow.html#aee6110d73360fe9b98a9a0b5d6517f5b">sin</a>(theta);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u2 = nv.x()*nv.x();</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> v2 = nv.y()*nv.y();</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w2 = nv.z()*nv.z();</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> lp1 = ln.point1();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// (a(v2+w2) - u( bv + cw - ux - vy - wz)) (1-cos_tet) + x cos_tet + (- cv + bw - wy + vz) sin_tet </span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> res;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">for</span>(<a class="code" href="namespacepFlow.html#a39f5f71474553bc78726494fa09dd0fb">label</a> i=0; i<<a class="code" href="NBSCrossLoop_8hpp.html#aad8b608072a1b6dcd9e91de38ee2925f">n</a>; i++ )</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  res.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> = (lp1.x_*(v2 + w2) - (nv.x_*(lp1.y_*nv.y_ + lp1.z_*nv.z_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  p[i].x_ * cos_tet +</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  (-lp1.z_*nv.y_ + lp1.y_*nv.z_ - nv.z_*p[i].y_ + nv.y_*p[i].z_) * sin_tet;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// ( b(u2+w2) - v( au + cw - ux - vy - wz))(1-cos_tet) + y cos_tet + ( cu - aw + wx - uz ) sin_tet</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  res.y_ = (lp1.y_*(u2 + w2) - (nv.y_*(lp1.x_*nv.x_ + lp1.z_*nv.z_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  p[i].y_ * cos_tet +</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  (lp1.z_*nv.x_ - lp1.x_*nv.z_ + nv.z_*p[i].x_ - nv.x_*p[i].z_) * sin_tet;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// (c(u2+v2) - w( au + bv - ux - vy - wz ))(1-cos_tet) + z cos_tet + (-bu + av - vx + uy) sin_tet</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  res.z_ = (lp1.z_*(u2 + v2) - (nv.z_*(lp1.x_*nv.x_ + lp1.y_*nv.y_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  p[i].z_ * cos_tet +</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  (-lp1.y_*nv.x_ + lp1.x_*nv.y_ - nv.y_*p[i].x_ + nv.x_*p[i].y_) * sin_tet; </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  p[i] = res;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keywordtype">void</span> <a class="code" href="rotatingAxisFwd_8hpp.html#a2a2904c6b466578f9847a75205e7c648">pFlow::rotate</a>(<a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>* p, <span class="keywordtype">size_t</span> <a class="code" href="NBSCrossLoop_8hpp.html#aad8b608072a1b6dcd9e91de38ee2925f">n</a>, <span class="keyword">const</span> rotatingAxis& ax, <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> dt)</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> {</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span>(!ax.inTimeRange()) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> nv = ax.unitVector();</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> cos_tet = <a class="code" href="namespacepFlow.html#ac16cb27d8952272fc2cdd82bd5cfc19e">cos</a>(ax.omega()*dt);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> sin_tet = <a class="code" href="namespacepFlow.html#aee6110d73360fe9b98a9a0b5d6517f5b">sin</a>(ax.omega()*dt);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u2 = nv.x()*nv.x();</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> v2 = nv.y()*nv.y();</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w2 = nv.z()*nv.z();</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> lp1 = ax.point1();</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// (a(v2+w2) - u( bv + cw - ux - vy - wz)) (1-cos_tet) + x cos_tet + (- cv + bw - wy + vz) sin_tet </span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a> res;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">for</span>(<a class="code" href="namespacepFlow.html#a39f5f71474553bc78726494fa09dd0fb">label</a> i=0; i<<a class="code" href="NBSCrossLoop_8hpp.html#aad8b608072a1b6dcd9e91de38ee2925f">n</a>; i++ )</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  res.<a class="code" href="classpFlow_1_1triple.html#ae40d4cb269d0be9c0d20a9efe0462757">x_</a> = (lp1.x_*(v2 + w2) - (nv.x_*(lp1.y_*nv.y_ + lp1.z_*nv.z_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  p[i].x_ * cos_tet +</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  (-lp1.z_*nv.y_ + lp1.y_*nv.z_ - nv.z_*p[i].y_ + nv.y_*p[i].z_) * sin_tet;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="comment">// ( b(u2+w2) - v( au + cw - ux - vy - wz))(1-cos_tet) + y cos_tet + ( cu - aw + wx - uz ) sin_tet</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  res.y_ = (lp1.y_*(u2 + w2) - (nv.y_*(lp1.x_*nv.x_ + lp1.z_*nv.z_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  p[i].y_ * cos_tet +</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  (lp1.z_*nv.x_ - lp1.x_*nv.z_ + nv.z_*p[i].x_ - nv.x_*p[i].z_) * sin_tet;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="comment">// (c(u2+v2) - w( au + bv - ux - vy - wz ))(1-cos_tet) + z cos_tet + (-bu + av - vx + uy) sin_tet</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  res.z_ = (lp1.z_*(u2 + v2) - (nv.z_*(lp1.x_*nv.x_ + lp1.y_*nv.y_ - nv.x_*p[i].x_ - nv.y_*p[i].y_ - nv.z_*p[i].z_)))*(1 - cos_tet) +</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  p[i].z_ * cos_tet +</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  (-lp1.y_*nv.x_ + lp1.x_*nv.y_ - nv.y_*p[i].x_ + nv.x_*p[i].y_) * sin_tet; </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  p[i] = res;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> }</div>
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