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    <identity>
      <id>74bc1cba-0147-4bca-a462-c67878f2dd4c</id>
      <revision>37</revision>
    </identity>
    <metadata lang="eng">
      <title>Analog Clock</title>
      <author>Davide Carpi (en.smath.info forum: w3b5urf3r)</author>
      <translator>Davide Carpi</translator>
      <keywords>animation, clock, time</keywords>
    </metadata>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="false" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Landscape" width="1169" height="827" />
      <margins left="50" right="50" top="50" bottom="50" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - PolyProperties</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
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    <mode debug="true" />
  </settings>
  <region id="0" top="18" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>Settings</p>
      </title>
    </area>
    <region id="1" left="0" top="36" width="119" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p underline="true">Starting Time</p>
      </text>
    </region>
    <region id="2" left="18" top="72" width="81" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <p>hour hand</p>
        </description>
        <input>
          <e type="operand">HH</e>
          <e type="operand">16</e>
          <e type="operand" style="unit">hr</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="3" left="117" top="72" width="90" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <p>minute hand</p>
        </description>
        <input>
          <e type="operand">MM</e>
          <e type="operand">26</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="4" left="234" top="72" width="73" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <p>second hand</p>
        </description>
        <input>
          <e type="operand">SS</e>
          <e type="operand">50</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="5" left="0" top="126" width="78" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p underline="true">Duration</p>
      </text>
    </region>
    <region id="6" left="18" top="162" width="160" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>duration</p>
        </description>
        <input>
          <e type="operand">D</e>
          <e type="operand">0</e>
          <e type="operand" style="unit">hr</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">35</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="7" left="0" top="198" width="78" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p underline="true">Accuracy</p>
      </text>
    </region>
    <region id="8" left="18" top="234" width="115" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>frame skip</p>
        </description>
        <input>
          <e type="operand">accuracy</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="9" left="0" top="279" width="127" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p underline="true">Clock geometry</p>
      </text>
    </region>
    <region id="10" left="18" top="315" width="85" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>radius of hour hand</p>
        </description>
        <input>
          <e type="operand">r.hh</e>
          <e type="operand">1.25</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="11" left="18" top="351" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>radius of minute hand</p>
        </description>
        <input>
          <e type="operand">r.mm</e>
          <e type="operand">2</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="12" left="18" top="387" width="60" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>radius of second hand</p>
        </description>
        <input>
          <e type="operand">r.ss</e>
          <e type="operand">2</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="13" left="18" top="414" width="217" height="91" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>dial radius</p>
        </description>
        <input>
          <e type="operand">r.dial</e>
          <e type="operand">r.hh</e>
          <e type="operand">r.mm</e>
          <e type="operand">r.ss</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">mat</e>
          <e type="function" preserve="true" args="1">max</e>
          <e type="operand">1.1</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="14" left="18" top="504" width="133" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Right" lang="eng">
          <p>rim radius</p>
        </description>
        <input>
          <e type="operand">r.rim</e>
          <e type="operand">r.dial</e>
          <e type="operand">1.1</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="15" top="549" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="16" top="567" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>Algorithms</p>
      </title>
    </area>
    <region id="17" left="18" top="594" width="287" height="181" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>dial</p>
        </description>
        <input>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operand">12</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">dial</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">r.dial</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">12</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">dial</e>
          <e type="operand">k</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">r.dial</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">12</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">dial</e>
          <e type="operand">k</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">.</e>
          <e type="operator" args="2">:</e>
          <e type="operand">dial</e>
          <e type="operand">k</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">15</e>
          <e type="operator" args="2">:</e>
          <e type="operand">dial</e>
          <e type="operand">k</e>
          <e type="operand">5</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">#cc000000</e>
          <e type="operator" args="2">:</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="7">line</e>
          <e type="function" preserve="true" args="3">for</e>
        </input>
      </math>
    </region>
    <region id="18" left="378" top="594" width="273" height="181" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>rim</p>
        </description>
        <input>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operand">120</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">rim</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">r.rim</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">120</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">rim</e>
          <e type="operand">k</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">r.rim</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">120</e>
          <e type="operator" args="2">/</e>
          <e type="operand">k</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">cos</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">rim</e>
          <e type="operand">k</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">.</e>
          <e type="operator" args="2">:</e>
          <e type="operand">rim</e>
          <e type="operand">k</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">8</e>
          <e type="operator" args="2">:</e>
          <e type="operand">rim</e>
          <e type="operand">k</e>
          <e type="operand">5</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">#cc000000</e>
          <e type="operator" args="2">:</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="7">line</e>
          <e type="function" preserve="true" args="3">for</e>
        </input>
      </math>
    </region>
    <region id="19" left="666" top="594" width="161" height="45" color="#000000" bgColor="#c0c0c0" fontSize="10">
      <math optimize="2" evaluate="false">
        <description active="true" position="Right" lang="eng">
          <p>fastest way to plot the rim</p>
        </description>
        <input>
          <e type="operand">rim</e>
          <e type="operand">r.rim</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">x</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">-</e>
          <e type="function" preserve="true" args="1">sqrt</e>
          <e type="operator" args="1">±</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="20" left="18" top="801" width="251" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">tRange</e>
          <e type="operand">0</e>
          <e type="operand">D</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operand">accuracy</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="21" left="18" top="855" width="381" height="364" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">s</e>
          <e type="function" args="1">clock</e>
          <e type="operand">ss</e>
          <e type="operand">SS</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operand">s</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">mm</e>
          <e type="operand">MM</e>
          <e type="operand" style="unit">min</e>
          <e type="operator" args="2">/</e>
          <e type="operand">ss</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="1">trunc</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">hh</e>
          <e type="operand">HH</e>
          <e type="operand" style="unit">hr</e>
          <e type="operator" args="2">/</e>
          <e type="operand">mm</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">round</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r.mm</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operand">mm</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operand">mm</e>
          <e type="operator" args="2">*</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>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operand">r.ss</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operand">ss</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operand">ss</e>
          <e type="operator" args="2">*</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>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operand">r.hh</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">12</e>
          <e type="operator" args="2">/</e>
          <e type="operand">hh</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">sin</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">12</e>
          <e type="operator" args="2">/</e>
          <e type="operand">hh</e>
          <e type="operator" args="2">*</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>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operand">dial</e>
          <e type="operand">rim</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand" style="string">.</e>
          <e type="operand">20</e>
          <e type="operand" style="string">#101010</e>
          <e type="operand">1</e>
          <e type="operand">5</e>
          <e type="function" preserve="true" args="7">mat</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="8">sys</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="22" left="405" top="927" width="168" height="43" color="#000000" bgColor="#c0c0c0" fontSize="10">
      <math optimize="2" evaluate="false">
        <description active="true" position="Right" lang="eng">
          <p>use this to have movements of hour hand every 60 minutes</p>
        </description>
        <input>
          <e type="operand">hh</e>
          <e type="operand">HH</e>
          <e type="operand" style="unit">hr</e>
          <e type="operator" args="2">/</e>
          <e type="operand">ss</e>
          <e type="operand">3600</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="1">trunc</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
        </input>
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