﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>93854968-84e8-4a4f-8afd-5754e398d288</id>
      <revision>2</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="36" top="27" width="385" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math optimize="2" fractionType="auto" decimalPlaces="6">
      <description active="true" position="Top" lang="eng">
        <p>Simon Plouffe π  'n' incremental algorithm</p>
      </description>
      <input>
        <e type="operand">n</e>
        <e type="function" args="1">pi</e>
        <e type="operand">1</e>
        <e type="operand">16</e>
        <e type="operand">k</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operand">4</e>
        <e type="operand">8</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">8</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operand">8</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="operand">8</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">6</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">k</e>
        <e type="operand">0</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="36" top="117" width="221" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto" decimalPlaces="15" exponentialThreshold="15" trailingZeros="true">
      <input>
        <e type="operand">13</e>
        <e type="function" args="1">pi</e>
      </input>
      <result action="numeric">
        <e type="operand">3.141592653589790</e>
      </result>
    </math>
  </region>
  <region id="2" left="288" top="117" width="185" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15" trailingZeros="true">
      <input>
        <e type="operand">π</e>
      </input>
      <result action="numeric">
        <e type="operand">3.141592653589790</e>
      </result>
    </math>
  </region>
  <region id="3" left="36" top="153" width="424" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">202</e>
        <e type="function" args="1">pi</e>
        <e type="operand" style="string">250 decimals ... sanity check Mathcad 11</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
</regions>