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 <span id="projectnumber">rev-distro-3.0.0-0-gfa24916-dirty</span>
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<div id="projectbrief">Igor procedures for the analysis of PEARL data</div>
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<div class="title">pearl-vector-operations.ipf</div> </div>
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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 TextEncoding = "UTF-8"</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#pragma rtGlobals=3</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#pragma version = 2.2</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#pragma IgorVersion = 6.1</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#pragma ModuleName = PearlVectorOperations</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  </div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// copyright (c) 2011-21 Paul Scherrer Institut</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// http:///www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// Please acknowledge the use of this code.</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
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<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7"> 46</a></span> <span class="keyword">function</span> <a class="code" href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7">rotate2d_x</a>(xx, yy, angle)</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  variable xx, yy</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  variable angle</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">return</span> xx * cos(angle * pi / 180) - yy * sin(angle * pi / 180)</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> end</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3"> 61</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3">rotate2d_y</a>(xx, yy, angle)</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  variable xx, yy</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  variable angle</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  return xx * sin(angle * pi / 180) + yy * cos(angle * pi / 180)</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> end</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43"> 74</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  make /n=(3,3)/free matrix</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  matrix = p == q <span class="comment">// identity</span></div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  return matrix</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> end</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
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<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b"> 93</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b">set_rotation_x</a>(matrix, angle)</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  wave matrix</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  variable angle</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  variable si = sin(angle * pi / 180)</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  variable co = cos(angle * pi / 180)</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  matrix[1][1] = co</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  matrix[2][2] = co</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  matrix[2][1] = si</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  matrix[1][2] = -si</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  return matrix</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> end</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
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<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582"> 121</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582">set_rotation_y</a>(matrix, angle)</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  wave matrix</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  variable angle</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  variable si = sin(angle * pi / 180)</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  variable co = cos(angle * pi / 180)</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  matrix[0][0] = co</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  matrix[2][2] = co</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  matrix[0][2] = si</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  matrix[2][0] = -si</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  return matrix</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> end</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424"> 149</a></span> function /wave <a class="code" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424">set_rotation_z</a>(matrix, angle)</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  wave matrix</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  variable angle</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  variable si = sin(angle * pi / 180)</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  variable co = cos(angle * pi / 180)</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  matrix[0][0] = co</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  matrix[1][1] = co</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  matrix[1][0] = si</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  matrix[0][1] = -si</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  return matrix</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> end</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b"> 176</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b">rotate_x_wave</a>(inout, angle)</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  wave inout</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  variable angle</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  wave m_rotation = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b">set_rotation_x</a>(m_rotation, angle)</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  </div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  duplicate /free inout, out</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  out = 0</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  variable j</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  for (j = 0; j < 3; j += 1)</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  out += m_rotation[p][j] * inout[j][q]</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  endfor</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  inout = out</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> end</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
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<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0"> 205</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0">rotate_y_wave</a>(inout, angle)</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  wave inout</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  variable angle</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  wave m_rotation = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <a class="code" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582">set_rotation_y</a>(m_rotation, angle)</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  </div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  duplicate /free inout, out</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  out = 0</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  variable j</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  for (j = 0; j < 3; j += 1)</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  out += m_rotation[p][j] * inout[j][q]</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  endfor</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  inout = out</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> end</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  </div>
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<div class="line"><a name="l00234"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a"> 234</a></span> function <a class="code" href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a">rotate_z_wave</a>(inout, angle)</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  wave inout</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  variable angle</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  wave m_rotation = <a class="code" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43">create_rotation_matrix_free</a>()</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424">set_rotation_z</a>(m_rotation, angle)</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  </div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  duplicate /free inout, out</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  out = 0</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  variable j</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  for (j = 0; j < 3; j += 1)</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  out += m_rotation[p][j] * inout[j][q]</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  endfor</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  inout = out</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> end</div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="apearl-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="ttdoc">rotates a wave of 3-vectors about the y axis</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00205">pearl-vector-operations.ipf:205</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">calculate a matrix representing a 3-vector rotation around the y axis</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00121">pearl-vector-operations.ipf:121</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">calculate a matrix representing a 3-vector rotation around the x axis.</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00093">pearl-vector-operations.ipf:93</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">rotate a 2D cartesian vector and returns its x component.</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00046">pearl-vector-operations.ipf:46</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">create a free matrix wave which represents the 3-vector identity.</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00074">pearl-vector-operations.ipf:74</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">rotate a wave of 3-vectors about the x axis.</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00176">pearl-vector-operations.ipf:176</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">rotate a 2D cartesian vector and returns its y component.</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00061">pearl-vector-operations.ipf:61</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">rotates a wave of 3-vectors about the z axis</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00234">pearl-vector-operations.ipf:234</a></div></div>
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<div class="ttc" id="apearl-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="ttdoc">calculate a matrix representing a 3-vector rotation around the z axis</div><div class="ttdef"><b>Definition:</b> <a href="pearl-vector-operations_8ipf_source.html#l00149">pearl-vector-operations.ipf:149</a></div></div>
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