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<p class="MsoPlainText"><span lang="EN-US">Same code but a bit more comments<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">mode</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">0</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">z</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">saddle</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">,
</span><b><span style="color:#834310">y</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">z</span></b> <span style="color:#5C5C5C">=</span> <b>
<span style="color:#834310">x</span></b><span style="color:#5C5C5C">^</span><span style="color:rosybrown">2</span>
<span style="color:#5C5C5C">-</span> <b><span style="color:#834310">y</span></b><span style="color:#5C5C5C">^</span><span style="color:rosybrown">2</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">A</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">1</span>
<span style="color:rosybrown">2</span> <span style="color:rosybrown">3</span> <span style="color:rosybrown">
4</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">d</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,
</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y</span></b><span style="color:black">, </span><b><span style="color:#834310">z</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">d</span></b> <span style="color:#5C5C5C">=</span> <b>
<span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">x</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">2</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">y</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">3</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">z</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">4</span><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<i><span style="color:#64AE64">// cartesian equation</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// Dichotomy search of the intercept</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">X</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,
</span><b><span style="color:#834310">x1</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y1</span></b><span style="color:black">, </span><b><span style="color:#834310">z1</span></b><span style="color:black">,
</span><b><span style="color:#834310">x2</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y2</span></b><span style="color:black">, </span><b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">// P1(x1, y1, z1) ; P2(x2, y2, z2) ; [P1P2] is a triangle side</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">epsilon</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
1e-2</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d1</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<b><span style="color:#834310">x1</span></b><span style="color:black">,</span> <b>
<span style="color:#834310">y1</span></b><span style="color:black">,</span> <b><span style="color:#834310">z1</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<i><span style="color:#64AE64">// algebraic distance to the plane</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">d2</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<b><span style="color:#834310">x2</span></b><span style="color:black">,</span> <b>
<span style="color:#834310">y2</span></b><span style="color:black">,</span> <b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">if</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">(</span><span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span> <i><span style="color:#64AE64">// P1 close enough to the plane</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">x1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">y1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">z1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">elseif</span> <span style="color:#4A55DB">(</span><span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d2</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span> <i><span style="color:#64AE64">// P2 close enough to the plane</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">x2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">y2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">z2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span> <i><span style="color:#64AE64">// dichotomy search of a point that is close enough</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">cont</span> <span style="color:#5C5C5C">=</span> <span style="color:orchid">
%t</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">while</span> <span style="color:black">cont</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"> <i><span style="color:#64AE64">// M(x, y, z) middle point of [P1P2]</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">x1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">x2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">y1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">y2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">z1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<span style="color:black">x,</span> <span style="color:black">y,</span> <span style="color:black">
z</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span> <span style="color:#A020F0">
then</span> <span style="color:black">cont</span> <span style="color:#5C5C5C">=</span>
<span style="color:orchid">%f </span><i><span style="color:#64AE64">// M is close enough</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:#4A55DB">(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#5C5C5C">*</span><span style="color:black">d</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">// M is on the same side of the plane as P1</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">x1</span></b> <span style="color:#5C5C5C">=</span>
<span style="color:black">x;</span> <b><span style="color:#834310">y1</span></b> <span style="color:#5C5C5C">
=</span> <span style="color:black">y;</span> <b><span style="color:#834310">z1</span></b>
<span style="color:#5C5C5C">=</span> <span style="color:black">z;</span> <i><span style="color:#64AE64">// replace P1 by M</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">x2</span></b> <span style="color:#5C5C5C">=</span>
<span style="color:black">x;</span> <b><span style="color:#834310">y2</span></b> <span style="color:#5C5C5C">
=</span> <span style="color:black">y;</span> <b><span style="color:#834310">z2</span></b>
<span style="color:#5C5C5C">=</span> <span style="color:black">z;</span> <i><span style="color:#64AE64">// replace P2 by M</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">X</span></b> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
[</span><span style="color:black">x,</span> <span style="color:black">y,</span> <span style="color:black">
z</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// surface making ... of course in the real life the surface comes from experimental data (no Cartesian equation is attached on))</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">n</span><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">50</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x</span><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">linspace</span><span style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span style="color:rosybrown">2</span><span style="color:black">,</span><span style="color:rosybrown">2</span><span style="color:black">,n</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">y</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">linspace</span><span style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:black">,</span><span style="color:rosybrown">3</span><span style="color:black">,n</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">tic</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// reshape</span></i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">[</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">X,</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">Y</span><span style="color:#4A55DB">]</span> <span style="color:#5C5C5C">
=</span> <span style="color:black">ndgrid</span><span style="color:#4A55DB">(</span><span style="color:black">x,</span>
<span style="color:black">y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">X</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">matrix</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:rosybrown">"*"</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">Y</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">matrix</span><span style="color:#4A55DB">(</span><span style="color:black">Y,</span>
<span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">Y,</span>
<span style="color:rosybrown">"*"</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">Z</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <u><span style="color:black">saddle</span></u><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:black">Y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// tesselation</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">tri</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">delaunay_2</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:black">Y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">nbtri</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">tri,</span>
<span style="color:rosybrown">"r"</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// detect when the plane crosses the side of a triangle</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// then set the intercept point</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">for</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">i</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
1</span><span style="color:#FFAA00">:</span><span style="color:black">nbtri</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">// extract the points of the tirangle #i</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x1</span><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y1</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z1</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// compute the algebraic distances</span></i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d1</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x1,</span> <span style="color:black">y1,</span> <span style="color:black">
z1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d2</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x2,</span> <span style="color:black">y2,</span> <span style="color:black">
z2</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d3</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x3,</span> <span style="color:black">y3,</span> <span style="color:black">
z3</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// check for each pair of points if they are in different half-spaces</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s1</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#5C5C5C">*</span><span style="color:black">d2</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s2</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d2</span><span style="color:#5C5C5C">*</span><span style="color:black">d3</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s3</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d3</span><span style="color:#5C5C5C">*</span><span style="color:black">d1</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">// determine the intercept point if need be</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">if</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s1</span> <span style="color:#A020F0">then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">points</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
[</span><span style="color:black">points</span> <span style="color:black">;</span>
<u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x1,</span> <span style="color:black">y1,</span> <span style="color:black">
z1,</span> <span style="color:black">x2,</span> <span style="color:black">y2,</span>
<span style="color:black">z2</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:black">s2</span> <span style="color:#A020F0">
then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">points</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
[</span><span style="color:black">points</span> <span style="color:black">;</span>
<u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x2,</span> <span style="color:black">y2,</span> <span style="color:black">
z2,</span> <span style="color:black">x3,</span> <span style="color:black">y3,</span>
<span style="color:black">z3</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:black">s3</span> <span style="color:#A020F0">
then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">points</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
[</span><span style="color:black">points</span> <span style="color:black">;</span>
<u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x3,</span> <span style="color:black">y3,</span> <span style="color:black">
z3,</span> <span style="color:black">x1,</span> <span style="color:black">y1,</span>
<span style="color:black">z1</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">duration</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">=</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">toc</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// plot</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">scf</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">0</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">clf</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">plot3d</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x,</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">y,</span> <span style="color:#32B9B9">feval</span><span style="color:#4A55DB">(</span><span style="color:black">x,</span>
<span style="color:black">y,</span> <u><span style="color:black">saddle</span></u><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// plot3d(X, Y, Z); // doesn't work, don't know why</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">surf</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">gce</span><span style="color:#4A55DB">()</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">param3d</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:#FFAA00;mso-fareast-language:ZH-CN">:</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">,</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:black">points</span><span style="color:#4A55DB">(</span><span style="color:#FFAA00">:</span><span style="color:black">,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:black">points</span><span style="color:#4A55DB">(</span><span style="color:#FFAA00">:</span><span style="color:black">,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">=</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">gce</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_mode</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"on"</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_style</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">0</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">line_mode</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"off"</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_foreground</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">5</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_size</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">disp</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">"t
= "</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">+</span><span style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">string</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">duration</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">+</span><span style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">"
s."</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">--<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Christophe Dang Ngoc Chan<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Mechanical calculation engineer<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
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