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        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Vx'</e>
        <e type="operand">V.x'</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y'</e>
        <e type="operand">T.z</e>
        <e type="operand">I.z</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Vy'</e>
        <e type="operand">V.y'</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x'</e>
        <e type="operand">T.z</e>
        <e type="operand">I.z</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Mx'</e>
        <e type="operand">Vy'</e>
        <e type="operand">Z.p_fix</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Pz</e>
        <e type="operand">P.z</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x'1</e>
        <e type="operand">P.z</e>
        <e type="operand">e.x'</e>
        <e type="operator" args="2">*</e>
        <e type="operand">M.y'</e>
        <e type="operator" args="2">-</e>
        <e type="operand">V.x'</e>
        <e type="operand">Z.p_fix</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">I.y'</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y'1</e>
        <e type="operand">P.z</e>
        <e type="operand">e.y'</e>
        <e type="operator" args="2">*</e>
        <e type="operand">M.x'</e>
        <e type="operator" args="2">+</e>
        <e type="operand">V.y'</e>
        <e type="operand">Z.p_fix</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operand">I.x'</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">BC.y</e>
        <e type="operand" style="string">pinned_c</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">My'</e>
        <e type="operand">M.y'</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">My'</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">My'</e>
        <e type="operand">Vx'</e>
        <e type="operand">Z.p_fix</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">Zeros</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">1</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="1">Zeros</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">1</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Pz</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Vx'</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Vy'</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Tz</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">My'</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Mx'</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">2</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">Zeros</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ID.XmaxYmin</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">x'1</e>
        <e type="function" preserve="true" args="1">Max</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">y'1</e>
        <e type="function" preserve="true" args="1">Min</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">ID.XmaxYmin</e>
        <e type="operand">i</e>
        <e type="operator" args="2">:</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">ID.XmaxYmax</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">x'1</e>
        <e type="function" preserve="true" args="1">Max</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">y'1</e>
        <e type="function" preserve="true" args="1">Max</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">ID.XmaxYmax</e>
        <e type="operand">i</e>
        <e type="operator" args="2">:</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">ID.XminYmax</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">x'1</e>
        <e type="function" preserve="true" args="1">Min</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">y'1</e>
        <e type="function" preserve="true" args="1">Max</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">ID.XminYmax</e>
        <e type="operand">i</e>
        <e type="operator" args="2">:</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand">ID.XminYmin</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">x'1</e>
        <e type="function" preserve="true" args="1">Min</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y'1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operand">y'1</e>
        <e type="function" preserve="true" args="1">Min</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">ID.XminYmin</e>
        <e type="operand">i</e>
        <e type="operator" args="2">:</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">continue</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ID.XmaxYmin</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">ID.XmaxYmin</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ID.XmaxYmax</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">ID.XmaxYmax</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ID.XminYmax</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">ID.XminYmax</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ID.XminYmin</e>
        <e type="operand" style="unit">kN</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">2</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">ID.XminYmin</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PilesPVTMresults#</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PilesXYZ.seat</e>
        <e type="operand">PVTM.group</e>
        <e type="operand">Z.p_fix</e>
        <e type="operand">BC.y</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">e.x</e>
        <e type="operand">e.y</e>
        <e type="operand">x'</e>
        <e type="operand">y'</e>
        <e type="operand">I.x</e>
        <e type="operand">I.y</e>
        <e type="operand">I.xy</e>
        <e type="operand">θ</e>
        <e type="operand">I.x'</e>
        <e type="operand">I.y'</e>
        <e type="operand">x'1</e>
        <e type="operand">y'1</e>
        <e type="operand">PVTM.pile</e>
        <e type="operand">PVTM.pile_corner</e>
        <e type="operand">i</e>
        <e type="operand">N</e>
        <e type="operand">e.x'</e>
        <e type="operand">e.y'</e>
        <e type="operand">P.z</e>
        <e type="operand">V.x</e>
        <e type="operand">V.y</e>
        <e type="operand">T.z</e>
        <e type="operand">M.y</e>
        <e type="operand">M.x</e>
        <e type="operand">V.x'</e>
        <e type="operand">V.y'</e>
        <e type="operand">M.x'</e>
        <e type="operand">M.y'</e>
        <e type="operand">Vx'</e>
        <e type="operand">Vy'</e>
        <e type="operand">Mx'</e>
        <e type="operand">My'</e>
        <e type="operand">Pz</e>
        <e type="operand">Tz</e>
        <e type="operand">ID.XmaxYmax</e>
        <e type="operand">ID.XmaxYmin</e>
        <e type="operand">ID.XminYmax</e>
        <e type="operand">ID.XminYmin</e>
        <e type="function" preserve="true" args="44">Clear</e>
        <e type="operand">PilesPVTMresults#</e>
        <e type="operand">100</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="102">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="4104" width="756" height="23" color="#000000" bgColor="#ffffff">
    <writer lang="eng" wrap="Custom" width="742"><![CDATA[<span style="font-family: 'Arial Unicode MS'; font-size: 8pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 150%">
<div>coordinates of abutment seat piles are defined below. Some input information:</div></span>]]></writer>
  </region>
  <region id="2" left="18" top="4158" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>abutment seat skew angle</p>
    </text>
  </region>
  <region id="3" left="432" top="4158" width="98" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">θ.skew</e>
        <e type="operand">19</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="432" top="4212" width="238" height="51" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">L.seat</e>
        <e type="operand">33480</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operand">θ.skew</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">35.409</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="5" left="18" top="4221" width="200" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Length of abutment seat</p>
    </text>
  </region>
  <region id="6" left="18" top="4284" width="363" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>distance from seat edge to CL of first pile</p>
    </text>
  </region>
  <region id="7" left="432" top="4284" width="123" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">L.edge</e>
        <e type="operand">1000</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="18" top="4338" width="314" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>number of pile rows along the X' axis</p>
    </text>
  </region>
  <region id="9" left="432" top="4338" width="93" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">No.p_x'</e>
        <e type="operand">16</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="18" top="4392" width="314" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>number of pile rows along the Y' axis</p>
    </text>
  </region>
  <region id="11" left="432" top="4392" width="85" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">No.p_y'</e>
        <e type="operand">2</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="18" top="4446" width="183" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>total number of piles</p>
    </text>
  </region>
  <region id="13" left="432" top="4446" width="200" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">No.p</e>
        <e type="operand">No.p_x'</e>
        <e type="operand">No.p_y'</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">32</e>
      </result>
    </math>
  </region>
  <region id="14" left="18" top="4500" width="339" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Pile spacing along X' axis - piles are centered on abutment seat CL</p>
    </text>
  </region>
  <region id="15" left="432" top="4500" width="132" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">sp.p_x'</e>
        <e type="operand">2000</e>
        <e type="operand" style="unit">mm</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="18" top="4563" width="389" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p italic="true">Lets calculate the pile spacing along Y' axis:</p>
    </text>
  </region>
  <region id="17" left="18" top="4599" width="292" height="57" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">sp.p_y'</e>
        <e type="operand">L.seat</e>
        <e type="operand">2</e>
        <e type="operand">L.edge</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">No.p_x'</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
      <contract>
        <e type="operand" style="unit">mm</e>
      </contract>
      <result action="numeric">
        <e type="operand">2227.276</e>
      </result>
    </math>
  </region>
  <region id="18" left="18" top="4671" width="486" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Now we will define the pile coordinates in a system X'Y'Z:</p>
    </text>
  </region>
  <region id="19" left="18" top="4716" width="233" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>coordinate of the 1st pile:</p>
    </text>
  </region>
  <region id="20" left="18" top="4752" width="186" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">Pile1.X'</e>
        <e type="operand">sp.p_x'</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="21" left="234" top="4752" width="298" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">Pile1.Y'</e>
        <e type="operand">L.seat</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">L.edge</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">16.705</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="4806" width="570" height="216" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">No.p</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">i</e>
        <e type="operand">No.p_x'</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">PilesX'Y'Z.seat</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Pile1.X'</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PilesX'Y'Z.seat</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Pile1.Y'</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">sp.p_y'</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operand">PilesX'Y'Z.seat</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Pile1.X'</e>
        <e type="operand">sp.p_x'</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">PilesX'Y'Z.seat</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">PilesX'Y'Z.seat</e>
        <e type="operand">No.p_x'</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">i</e>
        <e type="operand">No.p_x'</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">sp.p_y'</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="23" left="18" top="5130" width="316" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Pile coordinates; both X'Y'Z and XYZ:</p>
    </text>
  </region>
  <region id="24" left="216" top="5166" width="377" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">rot.z</e>
        <e type="operand">θ.skew</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">θ.skew</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">θ.skew</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">θ.skew</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">0.946</e>
        <e type="operand">0.326</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.326</e>
        <e type="operand">0.946</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="25" left="18" top="5184" width="135" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>rotation matrix</p>
    </text>
  </region>
  <region id="26" left="18" top="5256" width="283" height="584" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">PilesX'Y'Z.seat</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">16.7046</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">14.4773</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">12.25</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10.0227</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7.7955</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5.5682</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3.3409</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.1136</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.1136</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3.3409</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5.5682</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7.7955</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10.0227</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">12.25</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">14.4773</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">16.7046</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">16.7046</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">14.4773</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">12.25</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10.0227</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">7.7955</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5.5682</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3.3409</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.1136</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.1136</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3.3409</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5.5682</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">7.7955</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10.0227</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">12.25</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">14.4773</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">16.7046</e>
        <e type="operand" style="unit">m</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">32</e>
        <e type="operand">2</e>
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    <math>
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    </math>
  </region>
  <region id="29" left="252" top="5904" width="449" height="40" color="#000000" bgColor="#ff0000" fontSize="10">
    <text lang="eng">
      <p>if i delete this, the function will use larger matrix and will crash!</p>
    </text>
  </region>
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</regions>