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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 = 2.1</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">// copyright (c) 2011-17 Paul Scherrer Institut</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// http:///www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">//</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// Please acknowledge the use of this code.</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </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> </div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ac579a92f012f0d0ef7b8f097e1c8b3c7"> 45</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="l00046"></a><span class="lineno"> 46</span>  variable xx, yy</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  variable angle</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> xx * cos(angle * pi / 180) - yy * sin(angle * pi / 180)</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> end</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div><div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a355150c423ab975fe7f1832917118ea3"> 60</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="l00061"></a><span class="lineno"> 61</span>  variable xx, yy</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  variable angle</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 xx * sin(angle * pi / 180) + yy * cos(angle * pi / 180)</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="l00073"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a72c3200a7344c708ea76e20cc2c19c43"> 73</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="l00074"></a><span class="lineno"> 74</span>  make /n=(3,3)/free matrix</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  matrix = p == q <span class="comment">// identity</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  return matrix</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> end</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div><div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a8a8dff94d9f7b992c2c2c0744001e74b"> 92</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="l00093"></a><span class="lineno"> 93</span>  wave matrix</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  variable angle</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  variable co = cos(angle * pi / 180)</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  matrix[1][1] = co</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  matrix[2][2] = co</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  matrix[2][1] = si</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  matrix[1][2] = -si</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  return matrix</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> end</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div><div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfdf1cfe8812d8d0006228f6c14c9582"> 120</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="l00121"></a><span class="lineno"> 121</span>  wave matrix</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  variable angle</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>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  variable co = cos(angle * pi / 180)</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  matrix[0][0] = co</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  matrix[2][2] = co</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  matrix[0][2] = si</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  matrix[2][0] = -si</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>  return matrix</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> end</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div><div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a76feca10fe5d3e085f01c73a59b38424"> 148</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="l00149"></a><span class="lineno"> 149</span>  wave matrix</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  variable angle</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  variable si = sin(angle * pi / 180)</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  variable co = cos(angle * pi / 180)</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  matrix[0][0] = co</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  matrix[1][1] = co</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  matrix[1][0] = si</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  matrix[0][1] = -si</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  return matrix</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span> end</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div><div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#ada80428496dc748b960bd9c65df7da8b"> 175</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="l00176"></a><span class="lineno"> 176</span>  wave inout</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  variable angle</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div><div class="line"><a name="l00179"></a><span class="lineno"> 179</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="l00180"></a><span class="lineno"> 180</span>  make /n=3/d/free w_temp_rotate_x</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  variable ivec, nvec</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</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="l00185"></a><span class="lineno"> 185</span>  w_temp_rotate_x = inout[p][ivec]</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  matrixop /free w_temp_rotate_x_result = m_rotation_x x w_temp_rotate_x</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  inout[0,2][ivec] = w_temp_rotate_x_result[p]</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  endfor</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> end</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div><div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#adfd1d68e739694982fbd00b76568c1c0"> 203</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="l00204"></a><span class="lineno"> 204</span>  wave inout</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  variable angle</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div><div class="line"><a name="l00207"></a><span class="lineno"> 207</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="l00208"></a><span class="lineno"> 208</span>  make /n=3/d/free w_temp_rotate_y</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  variable ivec, nvec</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</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="l00213"></a><span class="lineno"> 213</span>  w_temp_rotate_y = inout[p][ivec]</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  matrixop /free w_temp_rotate_y_result = m_rotation_y x w_temp_rotate_y</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  inout[0,2][ivec] = w_temp_rotate_y_result[p]</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  endfor </div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> end</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div><div class="line"><a name="l00231"></a><span class="lineno"><a class="line" href="pearl-vector-operations_8ipf.html#a0030e927980581d57781ad391f2d872a"> 231</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="l00232"></a><span class="lineno"> 232</span>  wave inout</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  variable angle</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div><div class="line"><a name="l00235"></a><span class="lineno"> 235</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="l00236"></a><span class="lineno"> 236</span>  make /n=3/d/free w_temp_rotate_z</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  variable ivec, nvec</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  nvec = max(DimSize(inout, 1), 1)</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  for (ivec = 0; ivec < nvec; ivec += 1)</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</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="l00241"></a><span class="lineno"> 241</span>  w_temp_rotate_z = inout[p][ivec]</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  matrixop /free w_temp_rotate_z_result = m_rotation_z x w_temp_rotate_z</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  inout[0,2][ivec] = w_temp_rotate_z_result[p]</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  endfor </div><div class="line"><a name="l00245"></a><span class="lineno"> 245</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="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#l00092">pearl-vector-operations.ipf:92</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="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#l00175">pearl-vector-operations.ipf:175</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="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#l00045">pearl-vector-operations.ipf:45</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="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#l00148">pearl-vector-operations.ipf:148</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="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#l00203">pearl-vector-operations.ipf:203</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="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#l00060">pearl-vector-operations.ipf:60</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="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#l00231">pearl-vector-operations.ipf:231</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="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#l00073">pearl-vector-operations.ipf:73</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="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#l00120">pearl-vector-operations.ipf:120</a></div></div>
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