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<div class="title">zAxis.cpp</div> </div>
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<a href="zAxis_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*------------------------------- phasicFlow ---------------------------------</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> O C enter of</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> O O E ngineering and</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> O O M ultiscale modeling of</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> OOOOOOO F luid flow </span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> Copyright (C): www.cemf.ir</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> email: hamid.r.norouzi AT gmail.com</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">------------------------------------------------------------------------------ </span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">Licence:</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment"> </span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">-----------------------------------------------------------------------------*/</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="zAxis_8hpp.html">zAxis.hpp</a>&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#ad9f45f6f20e4ef66cc141d8962b3a301"> 25</a></span>&#160;<a class="code" href="classpFlow_1_1zAxis.html#ad9f45f6f20e4ef66cc141d8962b3a301">pFlow::zAxis::zAxis</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &amp;p1, <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &amp;p2) </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;:</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; p1_(p1),</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; p2_(p2)</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;{</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="keywordflow">if</span>( <a class="code" href="namespacepFlow.html#ac51b1f978c0296b63a19e0033906c25c">equal</a>(p1,p2))</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="error_8hpp.html#aca9aa547c8441e4410a65a2ce7c21554">fatalErrorInFunction</a>&lt;&lt;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="stringliteral">&quot;points are equal &quot;</span>&lt;&lt; p1 &lt;&lt;<span class="stringliteral">&quot; &quot;</span>&lt;&lt;p2&lt;&lt;<a class="code" href="namespacepFlow.html#aba8f0c455a3fdb4b05ad33a25b13b189">endl</a>;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <a class="code" href="error_8hpp.html#aad22a1cd3b45a97ac8cd195f06fe61fe">fatalExit</a>;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; }</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <a class="code" href="classpFlow_1_1zAxis.html#a9864d76553754290cf52eeae03a1c491">makeTransMatrix</a>(p2-p1);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;}</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#af6e65a3362f7cae7ca2f8c7e6425d682"> 39</a></span>&#160;<a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="classpFlow_1_1zAxis.html#af6e65a3362f7cae7ca2f8c7e6425d682">pFlow::zAxis::transferToZ</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &amp; p)<span class="keyword">const</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> p0 = p1_-p;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="code" href="structpFlow_1_1array2D.html">array2D&lt;real,3,1&gt;</a> po {p0.x(), p0.y(), p0.z()}; </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">auto</span> tp = <a class="code" href="namespacepFlow.html#af553c71717d8672629c81707fa30f61a">MatMul</a>(rotMat_, po);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordflow">return</span> <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>(tp(0,0), tp(1,0), tp(2,0));</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;}</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#a53e41fa0fcfee8c3b92c230a76fdd498"> 50</a></span>&#160;<a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="classpFlow_1_1zAxis.html#a53e41fa0fcfee8c3b92c230a76fdd498">pFlow::zAxis::transferBackZ</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &amp; p)<span class="keyword">const</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; </div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keyword">auto</span> rp = <a class="code" href="namespacepFlow.html#af553c71717d8672629c81707fa30f61a">MatMul</a>(invRotMat_,<a class="code" href="structpFlow_1_1array2D.html">array2D&lt;real,3,1&gt;</a>{p.<a class="code" href="classpFlow_1_1triple.html#a2f365146ce767d3de7ae125abd193b33">x</a>(), p.<a class="code" href="classpFlow_1_1triple.html#a28d901cc27d3756a830e4de5a484b967">y</a>(), p.<a class="code" href="classpFlow_1_1triple.html#a5c836d3919741edf1ba805c98dbd21b7">z</a>()});</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">return</span> <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>(rp(0,0)+p1_.x(),rp(1,0)+p1_.y(), rp(2,0)+p1_.z());</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;}</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#a9864d76553754290cf52eeae03a1c491"> 61</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classpFlow_1_1zAxis.html#a9864d76553754290cf52eeae03a1c491">pFlow::zAxis::makeTransMatrix</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; vec)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;{</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> Unit = {0,0,1};</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> v_unit = <a class="code" href="tripleFwd_8hpp.html#aac73338fc91e70834f04d7c806628ac5">normalize</a>(vec);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keyword">auto</span> uvw = <a class="code" href="tripleFwd_8hpp.html#a7a724b824f9e21a646a965a99fff4b04">cross</a>(v_unit,Unit);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> rcos = <a class="code" href="quadrupleFwd_8hpp.html#a6b8bdd44e6ac0d39b65ebd0eef5d4600">dot</a>(v_unit, Unit);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> rsin = uvw.length();</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespacepFlow.html#a11091cf542ebb711e64d680ee05b311c">abs</a>(rsin) &gt; <a class="code" href="namespacepFlow.html#abfbb7af55004f8113864a4da90c43545">smallValue</a>)</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; uvw /= rsin;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>&amp; [u, v, w] = uvw;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; rotMat_ = </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <a class="code" href="structpFlow_1_1array2D.html">ArrayType</a>({rcos, 0, 0, 0, rcos, 0, 0, 0, rcos})+</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <a class="code" href="structpFlow_1_1array2D.html">ArrayType</a>({0, -w, v, w, 0, -u, -v, u, 0})+</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; (1-rcos)*<a class="code" href="structpFlow_1_1array2D.html">ArrayType</a>({u*u, u*v, u*w, u*v, v*v, w*v, u*w, v*w, w*w});</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; invRotMat_ = <a class="code" href="namespacepFlow.html#a50db0016383b38d5faca545694a18a97">transpose</a>(rotMat_);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;} </div>
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<div class="ttc" id="atripleFwd_8hpp_html_aac73338fc91e70834f04d7c806628ac5"><div class="ttname"><a href="tripleFwd_8hpp.html#aac73338fc91e70834f04d7c806628ac5">normalize</a></div><div class="ttdeci">INLINE_FUNCTION_HD triple&lt; T &gt; normalize(const triple&lt; T &gt; &amp;v1)</div></div>
<div class="ttc" id="aclasspFlow_1_1zAxis_html_a9864d76553754290cf52eeae03a1c491"><div class="ttname"><a href="classpFlow_1_1zAxis.html#a9864d76553754290cf52eeae03a1c491">pFlow::zAxis::makeTransMatrix</a></div><div class="ttdeci">void makeTransMatrix(const realx3 &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00061">zAxis.cpp:61</a></div></div>
<div class="ttc" id="anamespacepFlow_html_abfbb7af55004f8113864a4da90c43545"><div class="ttname"><a href="namespacepFlow.html#abfbb7af55004f8113864a4da90c43545">pFlow::smallValue</a></div><div class="ttdeci">const real smallValue</div><div class="ttdef"><b>Definition:</b> <a href="numericConstants_8hpp_source.html#l00031">numericConstants.hpp:31</a></div></div>
<div class="ttc" id="aerror_8hpp_html_aad22a1cd3b45a97ac8cd195f06fe61fe"><div class="ttname"><a href="error_8hpp.html#aad22a1cd3b45a97ac8cd195f06fe61fe">fatalExit</a></div><div class="ttdeci">#define fatalExit</div><div class="ttdoc">Fatal exit.</div><div class="ttdef"><b>Definition:</b> <a href="error_8hpp_source.html#l00098">error.hpp:98</a></div></div>
<div class="ttc" id="anamespacepFlow_html_a50db0016383b38d5faca545694a18a97"><div class="ttname"><a href="namespacepFlow.html#a50db0016383b38d5faca545694a18a97">pFlow::transpose</a></div><div class="ttdeci">array2D&lt; T, nCol, nRow &gt; transpose(const array2D&lt; T, nRow, nCol &gt; &amp;arr)</div><div class="ttdef"><b>Definition:</b> <a href="array2D_8hpp_source.html#l00150">array2D.hpp:150</a></div></div>
<div class="ttc" id="anamespacepFlow_html_ac51b1f978c0296b63a19e0033906c25c"><div class="ttname"><a href="namespacepFlow.html#ac51b1f978c0296b63a19e0033906c25c">pFlow::equal</a></div><div class="ttdeci">INLINE_FUNCTION_HD bool equal(const box &amp;b1, const box &amp;b2, real tol=smallValue)</div><div class="ttdef"><b>Definition:</b> <a href="box_8hpp_source.html#l00135">box.hpp:135</a></div></div>
<div class="ttc" id="astructpFlow_1_1array2D_html"><div class="ttname"><a href="structpFlow_1_1array2D.html">pFlow::array2D</a></div><div class="ttdef"><b>Definition:</b> <a href="array2D_8hpp_source.html#l00011">array2D.hpp:11</a></div></div>
<div class="ttc" id="aclasspFlow_1_1zAxis_html_ad9f45f6f20e4ef66cc141d8962b3a301"><div class="ttname"><a href="classpFlow_1_1zAxis.html#ad9f45f6f20e4ef66cc141d8962b3a301">pFlow::zAxis::zAxis</a></div><div class="ttdeci">zAxis(const realx3 &amp;lp1, const realx3 &amp;lp2)</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00025">zAxis.cpp:25</a></div></div>
<div class="ttc" id="anamespacepFlow_html_aba8f0c455a3fdb4b05ad33a25b13b189"><div class="ttname"><a href="namespacepFlow.html#aba8f0c455a3fdb4b05ad33a25b13b189">pFlow::endl</a></div><div class="ttdeci">iOstream &amp; endl(iOstream &amp;os)</div><div class="ttdoc">Add newline and flush stream.</div><div class="ttdef"><b>Definition:</b> <a href="iOstream_8hpp_source.html#l00341">iOstream.hpp:341</a></div></div>
<div class="ttc" id="anamespacepFlow_html_a5164661f6974ad24fa90bf19433e6116"><div class="ttname"><a href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">pFlow::realx3</a></div><div class="ttdeci">triple&lt; real &gt; realx3</div><div class="ttdef"><b>Definition:</b> <a href="types_8hpp_source.html#l00043">types.hpp:43</a></div></div>
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<div class="ttc" id="aquadrupleFwd_8hpp_html_a6b8bdd44e6ac0d39b65ebd0eef5d4600"><div class="ttname"><a href="quadrupleFwd_8hpp.html#a6b8bdd44e6ac0d39b65ebd0eef5d4600">dot</a></div><div class="ttdeci">INLINE_FUNCTION_HD T dot(const quadruple&lt; T &gt; &amp;oprnd1, const quadruple&lt; T &gt; &amp;oprnd2)</div></div>
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<div class="ttc" id="aerror_8hpp_html_aca9aa547c8441e4410a65a2ce7c21554"><div class="ttname"><a href="error_8hpp.html#aca9aa547c8441e4410a65a2ce7c21554">fatalErrorInFunction</a></div><div class="ttdeci">#define fatalErrorInFunction</div><div class="ttdoc">Report a fatal error and function name and exit the application.</div><div class="ttdef"><b>Definition:</b> <a href="error_8hpp_source.html#l00077">error.hpp:77</a></div></div>
<div class="ttc" id="anamespacepFlow_html_af553c71717d8672629c81707fa30f61a"><div class="ttname"><a href="namespacepFlow.html#af553c71717d8672629c81707fa30f61a">pFlow::MatMul</a></div><div class="ttdeci">array2D&lt; T, nRow, nCol &gt; MatMul(const array2D&lt; T, nRow, nInner &gt; &amp;A, const array2D&lt; T, nInner, nCol &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="array2D_8hpp_source.html#l00126">array2D.hpp:126</a></div></div>
<div class="ttc" id="anamespacepFlow_html_a11091cf542ebb711e64d680ee05b311c"><div class="ttname"><a href="namespacepFlow.html#a11091cf542ebb711e64d680ee05b311c">pFlow::abs</a></div><div class="ttdeci">Vector&lt; T, Allocator &gt; abs(const Vector&lt; T, Allocator &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="VectorMath_8hpp_source.html#l00084">VectorMath.hpp:84</a></div></div>
<div class="ttc" id="aclasspFlow_1_1triple_html_a5c836d3919741edf1ba805c98dbd21b7"><div class="ttname"><a href="classpFlow_1_1triple.html#a5c836d3919741edf1ba805c98dbd21b7">pFlow::triple::z</a></div><div class="ttdeci">INLINE_FUNCTION_HD T &amp; z()</div><div class="ttdoc">access component</div><div class="ttdef"><b>Definition:</b> <a href="triple_8hpp_source.html#l00156">triple.hpp:156</a></div></div>
<div class="ttc" id="aclasspFlow_1_1zAxis_html_a53e41fa0fcfee8c3b92c230a76fdd498"><div class="ttname"><a href="classpFlow_1_1zAxis.html#a53e41fa0fcfee8c3b92c230a76fdd498">pFlow::zAxis::transferBackZ</a></div><div class="ttdeci">realx3 transferBackZ(const realx3 &amp;p) const</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00050">zAxis.cpp:50</a></div></div>
<div class="ttc" id="aclasspFlow_1_1zAxis_html_af6e65a3362f7cae7ca2f8c7e6425d682"><div class="ttname"><a href="classpFlow_1_1zAxis.html#af6e65a3362f7cae7ca2f8c7e6425d682">pFlow::zAxis::transferToZ</a></div><div class="ttdeci">realx3 transferToZ(const realx3 &amp;p) const</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00039">zAxis.cpp:39</a></div></div>
<div class="ttc" id="aclasspFlow_1_1triple_html_a2f365146ce767d3de7ae125abd193b33"><div class="ttname"><a href="classpFlow_1_1triple.html#a2f365146ce767d3de7ae125abd193b33">pFlow::triple::x</a></div><div class="ttdeci">INLINE_FUNCTION_HD T &amp; x()</div><div class="ttdoc">access component</div><div class="ttdef"><b>Definition:</b> <a href="triple_8hpp_source.html#l00132">triple.hpp:132</a></div></div>
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