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<a href="pearl-vector-operations_8ipf.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="preprocessor">#pragma rtGlobals=3</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#pragma version = 2.0</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#pragma IgorVersion = 6.1</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#pragma ModuleName = PearlVectorOperations</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// author: matthias.muntwiler@psi.ch</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Copyright (c) 2011-13 Paul Scherrer Institut</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// $Id$</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div><div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7"> 10</a></span> <span class="keyword">function</span> <a class="code" href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7">rotate2d_x</a>(xx, yy, angle)</div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  <span class="comment">// rotates a 2D cartesian vector and returns its x component</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  variable xx, yy</div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  variable angle <span class="comment">// rotation angle in degrees</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  </div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="keywordflow">return</span> xx * cos(angle * pi / 180) - yy * sin(angle * pi / 180)</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> end</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div><div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3"> 18</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3">rotate2d_y</a>(xx, yy, angle)</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="comment">// rotates a 2D cartesian vector and returns its y component</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  variable xx, yy</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  variable angle <span class="comment">// rotation angle in degrees</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  return xx * sin(angle * pi / 180) + yy * cos(angle * pi / 180)</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> end</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43"> 26</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="comment">// creates a matrix which represents a 3-vector rotation</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="comment">// the matrix is initialized as identity</span></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>  make /n=(3,3)/free matrix</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  matrix = p == q <span class="comment">// identity</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  return matrix</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> end</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b"> 35</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b">set_rotation_x</a>(matrix, angle)</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// calculates a matrix representing a 3-vector rotation around the x axis</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  wave matrix <span class="comment">// rotation matrix</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  variable angle <span class="comment">// rotation angle in degrees</span></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>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  variable co = cos(angle * pi / 180)</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>  matrix[1][1] = co</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  matrix[2][2] = co</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  matrix[2][1] = si</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  matrix[1][2] = -si</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>  return matrix</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> end</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582"> 51</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582">set_rotation_y</a>(matrix, angle)</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// calculates a matrix representing a 3-vector rotation around the y axis</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  wave matrix <span class="comment">// rotation matrix</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  variable angle <span class="comment">// rotation angle in degrees</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"> 56</span>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  variable co = cos(angle * pi / 180)</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  matrix[0][0] = co</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  matrix[2][2] = co</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  matrix[0][2] = si</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  matrix[2][0] = -si</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  return matrix</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> end</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div><div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424"> 67</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424">set_rotation_z</a>(matrix, angle)</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// calculates a matrix representing a 3-vector rotation around the z axis</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  wave matrix <span class="comment">// rotation matrix</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  variable angle <span class="comment">// rotation angle in degrees</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  variable co = cos(angle * pi / 180)</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  matrix[0][0] = co</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  matrix[1][1] = co</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  matrix[1][0] = si</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  matrix[0][1] = -si</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  return matrix</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> end</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b"> 83</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b">rotate_x_wave</a>(inout, angle)</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// rotates a wave of 3-vectors about the x axis</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  wave inout <span class="comment">// wave with dimensions (3, N), N >= 1, (x, y, z)</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// result will be in same wave</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  variable angle <span class="comment">// rotation angle in degrees</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  wave m_rotation_x = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  make /n=3/d/free w_temp_rotate_x</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  variable ivec, nvec</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b">set_rotation_x</a>(m_rotation_x, angle)</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  w_temp_rotate_x = inout[p][ivec]</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  matrixop /free w_temp_rotate_x_result = m_rotation_x x w_temp_rotate_x</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  inout[][ivec] = w_temp_rotate_x_result[p]</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  endfor </div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> end</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0"> 101</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0">rotate_y_wave</a>(inout, angle)</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// rotates a wave of 3-vectors about the y axis</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  wave inout <span class="comment">// wave with dimensions (3, N), N >= 1, (x, y, z)</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// result will be in same wave</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  variable angle <span class="comment">// rotation angle in degrees</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  wave m_rotation_y = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  make /n=3/d/free w_temp_rotate_y</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  variable ivec, nvec</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582">set_rotation_y</a>(m_rotation_y, angle)</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  w_temp_rotate_y = inout[p][ivec]</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  matrixop /free w_temp_rotate_y_result = m_rotation_y x w_temp_rotate_y</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  inout[][ivec] = w_temp_rotate_y_result[p]</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  endfor </div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> end</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div><div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a"> 119</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a">rotate_z_wave</a>(inout, angle)</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// rotates a wave of 3-vectors about the z axis</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  wave inout <span class="comment">// wave with dimensions (3, N), N >= 1, (x, y, z)</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// result will be in same wave</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  variable angle <span class="comment">// rotation angle in degrees</span></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>  wave m_rotation_z = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  make /n=3/d/free w_temp_rotate_z</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  variable ivec, nvec</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424">set_rotation_z</a>(m_rotation_z, angle)</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  w_temp_rotate_z = inout[p][ivec]</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  matrixop /free w_temp_rotate_z_result = m_rotation_z x w_temp_rotate_z</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  inout[][ivec] = w_temp_rotate_z_result[p]</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  endfor </div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> end</div><div class="ttc" id="pearl-vector-operations_8ipf_html_a8a8dff94d9f7b992c2c2c0744001e74b"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b">set_rotation_x</a></div><div class="ttdeci">wave set_rotation_x(wave matrix, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00035">pearl-vector-operations.ipf:35</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_ada80428496dc748b960bd9c65df7da8b"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b">rotate_x_wave</a></div><div class="ttdeci">variable rotate_x_wave(wave inout, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00083">pearl-vector-operations.ipf:83</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_ac579a92f012f0d0ef7b8f097e1c8b3c7"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7">rotate2d_x</a></div><div class="ttdeci">variable rotate2d_x(variable xx, variable yy, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00010">pearl-vector-operations.ipf:10</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_a76feca10fe5d3e085f01c73a59b38424"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424">set_rotation_z</a></div><div class="ttdeci">wave set_rotation_z(wave matrix, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00067">pearl-vector-operations.ipf:67</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_adfd1d68e739694982fbd00b76568c1c0"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0">rotate_y_wave</a></div><div class="ttdeci">variable rotate_y_wave(wave inout, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00101">pearl-vector-operations.ipf:101</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_a355150c423ab975fe7f1832917118ea3"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3">rotate2d_y</a></div><div class="ttdeci">variable rotate2d_y(variable xx, variable yy, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00018">pearl-vector-operations.ipf:18</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_a0030e927980581d57781ad391f2d872a"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a">rotate_z_wave</a></div><div class="ttdeci">variable rotate_z_wave(wave inout, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00119">pearl-vector-operations.ipf:119</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_a72c3200a7344c708ea76e20cc2c19c43"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a></div><div class="ttdeci">wave create_rotation_matrix_free()</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00026">pearl-vector-operations.ipf:26</a></div></div>
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<div class="ttc" id="pearl-vector-operations_8ipf_html_adfdf1cfe8812d8d0006228f6c14c9582"><div class="ttname"><a href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582">set_rotation_y</a></div><div class="ttdeci">wave set_rotation_y(wave matrix, variable angle)</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00051">pearl-vector-operations.ipf:51</a></div></div>
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