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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> <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>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="zAxis_8hpp.html">zAxis.hpp</a>"</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</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"><a class="line" href="classpFlow_1_1zAxis.html#ad9f45f6f20e4ef66cc141d8962b3a301"> 25</a></span> <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> &p1, <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> &p2) :</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> p1_(p1),</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> p2_(p2)</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <a class="code" href="classpFlow_1_1zAxis.html#a5b71c203ea8685dfe48bf6502de7521d">n_</a> = p2-p1;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">auto</span> len = <a class="code" href="tripleFwd_8hpp.html#ae1449f1d56abab2ec4d0f00b685fc478">pFlow::length</a>(<a class="code" href="classpFlow_1_1zAxis.html#a5b71c203ea8685dfe48bf6502de7521d">n_</a>);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">if</span>(len < <a class="code" href="namespacepFlow.html#abfbb7af55004f8113864a4da90c43545">smallValue</a> )</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>  <a class="code" href="error_8hpp.html#aad22a1cd3b45a97ac8cd195f06fe61fe">fatalExit</a>;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  }</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="classpFlow_1_1zAxis.html#a5b71c203ea8685dfe48bf6502de7521d">n_</a> /= len;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="classpFlow_1_1zAxis.html#a49679c47e1ab58456fbf52a63075df80">makeTransMatrix</a>();</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#ad5d2d9bea0299bb4e0b83ead960ca499"> 41</a></span> <a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="classpFlow_1_1zAxis.html#ad5d2d9bea0299bb4e0b83ead960ca499">pFlow::zAxis::transferToZ</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> & p)</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> pp[4][1] = {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>(), 1.0};</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> pn[4][1];</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(Trans_z_xz_P1_, pp, pn);</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>  <span class="keywordflow">return</span> <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>(</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  pn[0][0],</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  pn[1][0],</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  pn[2][0]</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>  </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#a6b4d7701866467309804ebbc0cd66e88"> 56</a></span> <a class="code" href="classpFlow_1_1triple.html">pFlow::realx3</a> <a class="code" href="classpFlow_1_1zAxis.html#a6b4d7701866467309804ebbc0cd66e88">pFlow::zAxis::transferBackZ</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a> & p)</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>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> pp[4][1] = { 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>(), 1.0 };</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> pn[4][1];</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(ITrans_P1_xz_z_, pp, pn);</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> <a class="code" href="namespacepFlow.html#a5164661f6974ad24fa90bf19433e6116">realx3</a>(</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  pn[0][0],</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  pn[1][0],</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  pn[2][0]</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  );</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>  </div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classpFlow_1_1zAxis.html#a49679c47e1ab58456fbf52a63075df80"> 71</a></span> <span class="keywordtype">void</span> <a class="code" href="classpFlow_1_1zAxis.html#a49679c47e1ab58456fbf52a63075df80">pFlow::zAxis::makeTransMatrix</a>()</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="comment">// transfering point p1 to the origin</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> TransP1[4][4] =</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  1.0, 0.0, 0.0, -p1_.x(),</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  0.0, 1.0, 0.0, -p1_.y(),</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  0.0, 0.0, 1.0, -p1_.z(),</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  0.0, 0.0, 0.0, 1.0</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  };</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// for transformation back</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> ITransP1[4][4] =</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>  1.0, 0.0, 0.0, p1_.x(),</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  0.0, 1.0, 0.0, p1_.y(),</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  0.0, 0.0, 1.0, p1_.z(),</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  0.0, 0.0, 0.0, 1.0</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>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u = n_.x();</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> v = n_.y();</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w = n_.z();</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> u2v2 = <a class="code" href="namespacepFlow.html#aedf0e44e92e0f7a18c7c724daf0f52fa">sqrt</a>(u*u + v*v);</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>  <span class="comment">//correcting the transformation matrix in the case of coincidence with z - axis</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> ( <a class="code" href="namespacepFlow.html#aaf1dcea055a0402beff3cec1b0849d74">equal</a>(w,1.0) )</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="namespacepFlow.html#a93010698fb6068b606d0af3e1f77877c">assignMat</a>(TransP1 , Trans_z_xz_P1_);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="namespacepFlow.html#a93010698fb6068b606d0af3e1f77877c">assignMat</a>(ITransP1, ITrans_P1_xz_z_);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  u2v2 = <a class="code" href="namespacepFlow.html#ae14bf16748b3144baa1112f08c2a83b1">max</a>(<a class="code" href="namespacepFlow.html#abfbb7af55004f8113864a4da90c43545">smallValue</a>, u2v2);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> TransXZ[4][4] =</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>  u / u2v2, v / u2v2, 0.0, 0.0,</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  -v / u2v2, u / u2v2, 0.0, 0.0,</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  0.0, 0.0, 1.0, 0.0,</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  0.0, 0.0, 0.0, 1.0</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>  </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> TransZ[4][4] =</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  w, 0.0, -u2v2, 0.0,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  0.0, 1.0, 0.0, 0.0,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  u2v2, 0.0, w, 0.0,</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  0.0, 0.0, 0.0, 1.0</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  };</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> temp[4][4];</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// creat transformation matrix to transfer point from line axis to z-axis</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(TransXZ, TransP1, temp);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(TransZ, temp, Trans_z_xz_P1_);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </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>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> ITransXZ[4][4] =</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>  u / u2v2, -v / u2v2, 0.0, 0.0,</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  +v / u2v2, u / u2v2, 0.0, 0.0,</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  0.0, 0.0, 1.0, 0.0,</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  0.0, 0.0, 0.0, 1.0</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  };</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>  <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> ITransZ[4][4] =</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>  w, 0.0, +u2v2, 0.0,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  0.0, 1.0, 0.0, 0.0,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  -u2v2, 0.0, w, 0.0,</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  0.0, 0.0, 0.0, 1.0</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  };</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// creat transformation matrix to transfer point to from z-axis to line axis</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(ITransXZ, ITransZ, temp);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="namespacepFlow.html#a0dc3a6e38c4eda1718bb81a1a28e91dd">MatMul</a>(ITransP1, temp, ITrans_P1_xz_z_);</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> }</div>
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<div class="ttc" id="aclasspFlow_1_1zAxis_html_a6b4d7701866467309804ebbc0cd66e88"><div class="ttname"><a href="classpFlow_1_1zAxis.html#a6b4d7701866467309804ebbc0cd66e88">pFlow::zAxis::transferBackZ</a></div><div class="ttdeci">realx3 transferBackZ(const realx3 &p)</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00056">zAxis.cpp:56</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1zAxis_html_ad5d2d9bea0299bb4e0b83ead960ca499"><div class="ttname"><a href="classpFlow_1_1zAxis.html#ad5d2d9bea0299bb4e0b83ead960ca499">pFlow::zAxis::transferToZ</a></div><div class="ttdeci">realx3 transferToZ(const realx3 &p)</div><div class="ttdef"><b>Definition:</b> <a href="zAxis_8cpp_source.html#l00041">zAxis.cpp:41</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1triple_html"><div class="ttname"><a href="classpFlow_1_1triple.html">pFlow::triple< real ></a></div></div>
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