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</o:shapelayout></xml><![endif]--></head><body bgcolor=white lang=FR link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Deer Serge,<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Effectively it’s cleaner (and faster) to use directly vectors as arguments … see above<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>B3 = list in arguments<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>B4 = vector in argument<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Thanks for the recipe … I need to modify my code … </span><span lang=EN-US style='font-family:Wingdings;color:#1F497D'>L</span><span lang=EN-US style='font-family:Wingdings;color:#1F497D'>J</span><span lang=EN-US style='color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Paul<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><i><span style='font-family:Monospaced;color:#64AE64'>/// classical function</span></i><span style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct2</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles2</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct2</span></b><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>endfunction</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-family:Monospaced;color:#64AE64'>// vectorized function</span></i><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct3</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles3</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct3</span></b><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>endfunction</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fc4t</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles4</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><i><span lang=EN-US style='font-family:Monospaced;color:#64AE64'>//transform i and j into column vectors</span></i><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>vect_fct4</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*.</span><span lang=EN-US style='font-family:Monospaced;color:#AAAAAA'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*.</span><span lang=EN-US style='font-family:Monospaced;color:#AAAAAA'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*.</span><span lang=EN-US style='font-family:Monospaced;color:#AAAAAA'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*.</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>endfunction</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-family:Monospaced;color:#64AE64'>// traditional with loops</span></i><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B2</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>zeros</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>4</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>n</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>tic</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#A020F0'>for</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>i</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#A020F0'>for</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>j</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>B2</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>n,</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles2</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>i,j</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>n</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>n</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>+</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#A020F0'>end</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#A020F0'>end</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>time_with_loops</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>toc</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-family:Monospaced;color:#64AE64'>// vectorized 1</span></i><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B3</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>zeros</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>4</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>theta_vect</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>])</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>tic</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B3</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles3</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>theta_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>time_vectorization</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>toc</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>max</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>abs</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>B2</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>B3</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p> </o:p></span></p><p class=MsoNormal><i><span lang=EN-US style='font-family:Monospaced;color:#64AE64'>// vectorized 2</span></i><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>tic</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B4</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>zeros</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>4</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B4</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles3</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>theta_vect,fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>time2_vectorization</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><u><span lang=EN-US style='font-family:Monospaced;color:#AE5CB0'>toc</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>()</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>max</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>abs</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>B4</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'> </span><span lang=EN-US style='font-family:Monospaced'>B3</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced;color:windowtext'><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext'>De :</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext'> users-bounces@lists.scilab.org [mailto:users-bounces@lists.scilab.org] <b>De la part de</b> Serge Steer<br><b>Envoyé :</b> mardi 20 novembre 2012 18:37<br><b>À :</b> International users mailing list for Scilab.<br><b>Objet :</b> Re: [Scilab-users] Vectorization : how to proceed<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>On 20/11/2012 17:28, Paul Carrico wrote:<o:p></o:p></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Finally I think I’ve found how to proceed .. at the same time I think I understood the use of the dot “.” (see after the cos)</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p></blockquote><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'>You are right, but take care that your code will work if and only if at least one of i or j are scalars.<br>If you want your code being able to work when i and j are vectors you can use the kronecker product .*.<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><o:p></o:p></p><p class=MsoNormal> i=i(:);j=j(:); //transform i and j into column vectors<br><br><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct3</span></b><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>, </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones(i)</span><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'> </span></b><b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span></b><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><b><span lang=EN-US style='font-size:12.0pt;font-family:Monospaced;color:#5C5C5C'>ones(j)</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones(i)</span></b><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><b><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'> </span></b><b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span></b><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><span style='font-family:Monospaced;color:#B01813'><br>endfunction</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'><br>Serge Steer<br><br><o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>Paul</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'>###################################################</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct3</span></b><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><b><span lang=EN-US style='font-size:18.0pt;font-family:Monospaced;color:#5C5C5C'>.</span></b><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span style='font-family:Monospaced;color:#B01813'>endfunction</span><o:p></o:p></p><p class=MsoNormal><span style='color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>zeros</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>4</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>theta_vect </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>fi_vect </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>])</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'>B </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> fct_angles3</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>theta_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='color:#1F497D'> </span><o:p></o:p></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>De :</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> <a href="mailto:users-bounces@lists.scilab.org">users-bounces@lists.scilab.org</a> [<a href="mailto:users-bounces@lists.scilab.org">mailto:users-bounces@lists.scilab.org</a>] <b>De la part de</b> Paul Carrico<br><b>Envoyé :</b> mardi 20 novembre 2012 14:34<br><b>À :</b> 'International users mailing list for Scilab.'<br></span><b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>Objet :</span></b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> [Scilab-users] Vectorization : how to proceed</span><o:p></o:p></p></div></div><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>Dear All</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>In the above example, how can I proceed to perform the product (see function fct_angles2) ?</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>Indeed, theta are 2 vectors, so no problem for the fct_angles … but in case of product, it’s naturally not work !!! what is the correct syntax in order to use vectorization ?</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>Thanks </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>Paul</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US>######################################################</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>mode</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct</span></b><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>+</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#B01813'>endfunction</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#B01813'>function</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>vect_fct2</span></b><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><u><span lang=EN-US style='font-family:Monospaced'>fct_angles2</span></u><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'>, </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> vect_fct </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>cos</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>*</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>-</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>sin</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>i</span></b><span lang=EN-US style='font-family:Monospaced'> </span><b><span lang=EN-US style='font-family:Monospaced;color:#834310'>j</span></b><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#B01813'>endfunction</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> B1 </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>zeros</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>4</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> theta_vect </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> fi_vect </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> </span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:#32B9B9'>ones</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>361</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'.*.</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>[</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>0</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>360</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>])</span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>'</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> B1 </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> <u>fct_angles</u></span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>theta_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-family:Monospaced'> B2 </span><span lang=EN-US style='font-family:Monospaced;color:#5C5C5C'>=</span><span lang=EN-US style='font-family:Monospaced'> <u>fct_angles2</u></span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>(</span><span lang=EN-US style='font-family:Monospaced'>theta_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>)</span><span lang=EN-US style='font-family:Monospaced'>,fi_vect</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>([</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#FFAA00'>:</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>130321</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>]</span><span lang=EN-US style='font-family:Monospaced'>,</span><span lang=EN-US style='font-family:Monospaced;color:rosybrown'>1</span><span lang=EN-US style='font-family:Monospaced;color:#4A55DB'>))</span><span lang=EN-US style='font-family:Monospaced'>;</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US> </span><o:p></o:p></p><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'><br><br><br><o:p></o:p></span></p><pre>_______________________________________________<o:p></o:p></pre><pre>users mailing list<o:p></o:p></pre><pre><a href="mailto:users@lists.scilab.org">users@lists.scilab.org</a><o:p></o:p></pre><pre><a href="http://lists.scilab.org/mailman/listinfo/users">http://lists.scilab.org/mailman/listinfo/users</a><o:p></o:p></pre><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p></div></body></html>