<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
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<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/><Presentation-Block>
<Group view="code" labelreference="L2" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">tetrahedron volume: <Equation executable="false" style="2D Math" input-equation="" display=" "> </Equation></Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display=" "> </Equation></Text-field>
</Input>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
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<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L20" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">square edge length</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="E := proc (p) options operator, arrow; p[1]*p[1]+p[2]*p[2]+p[3]*p[3] end proc:" display=" ">QyQ+SSJFRzYiZio2I0kicEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJiY5JDYjIiIiRjFGLkYxRjEqJiZGLzYjIiIjRjFGM0YxRjEqJiZGLzYjIiIkRjFGN0YxRjFGJUYlRiUhIiI=</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">square tetrahedron volume</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="V2 := proc (p0, p1, p2, p3) options operator, arrow; factor((1/144)*E(p1-p0)*E(p3-p2)*(E(p2-p0)+E(p3-p0)+E(p2-p1)+E(p3-p1)-E(p1-p0)-E(p3-p2))+(1/144)*E(p2-p0)*E(p3-p1)*(E(p1-p0)+E(p3-p0)+E(p2-p1)+E(p3-p2)-E(p2-p0)-E(p3-p1))+(1/144)*E(p3-p0)*E(p2-p1)*(E(p1-p0)+E(p2-p0)+E(p3-p2)+E(p3-p1)-E(p3-p0)-E(p2-p1))-(1/144)*E(p1-p0)*E(p2-p0)*E(p2-p1)-(1/144)*E(p2-p0)*E(p3-p0)*E(p3-p2)-(1/144)*E(p1-p0)*E(p3-p0)*E(p3-p1)-(1/144)*E(p2-p1)*E(p3-p2)*E(p3-p1)) end proc:" display=" ">QyQ+SSNWMkc2ImYqNiZJI3AwR0YlSSNwMUdGJUkjcDJHRiVJI3AzR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUtSSdmYWN0b3JHRiU2IywwKigtSSJFR0YlNiMsJjklIiIiOSQhIiJGOS1GNTYjLCY5J0Y5OSZGO0Y5LC4tRjU2IywmRkBGOUY6RjtGOS1GNTYjLCZGP0Y5RjpGO0Y5LUY1NiMsJkZARjlGOEY7RjktRjU2IywmRj9GOUY4RjtGOUY0RjtGPEY7RjkjRjkiJFciKihGQkY5RktGOSwuRjRGOUZFRjlGSEY5RjxGOUZCRjtGS0Y7RjlGTiooRkVGOUZIRjksLkY0RjlGQkY5RjxGOUZLRjlGRUY7RkhGO0Y5Rk4qKEY0RjlGQkY5RkhGOSNGO0ZPKihGQkY5RkVGOUY8RjlGVSooRjRGOUZFRjlGS0Y5RlUqKEZIRjlGPEY5RktGOUZVRiVGJUYlRjs=</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">tetrahedron volume</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="V := proc (p0, p1, p2, p3) options operator, arrow; sqrt(V2(p0, p1, p2, p3)) end proc:" display=" ">QyQ+SSJWRzYiZio2JkkjcDBHRiVJI3AxR0YlSSNwMkdGJUkjcDNHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJXNxcnRHRiU2Iy1JI1YyR0YlNiY5JDklOSY5J0YlRiVGJSEiIg==</Equation></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">a few verifications</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="V2(`&lt;|&gt;`(0, 0, 0), `&lt;|&gt;`(1, 0, 0), `&lt;|&gt;`(0, 1, 0), `&lt;|&gt;`(0, 0, 1)); 1; V(`&lt;|&gt;`(0, 0, 0), `&lt;|&gt;`(1, 0, 0), `&lt;|&gt;`(0, 1, 0), `&lt;|&gt;`(0, 0, 1))" display=" ">QyUtSSNWMkc2IjYmLUkkPHxncj5HRiU2JSIiIUYqRiotRig2JSIiIkYqRiotRig2JUYqRi1GKi1GKDYlRipGKkYtRi0tSSJWR0YlRiY=</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IyIiIiIjTw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IyIiIiIiJw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="P0 := `&lt;,&gt;`(p00, p01, p02):" display=" ">Qyo+SSNQMEc2Ii1JJDwsPkdGJTYlSSRwMDBHRiVJJHAwMUdGJUkkcDAyR0YlISIiPkkjUDFHRiUtRic2JUkkcDEwR0YlSSRwMTFHRiVJJHAxMkdGJUYsPkkjUDJHRiUtRic2JUkkcDIwR0YlSSRwMjFHRiVJJHAyMkdGJUYsPkkjUDNHRiUtRic2JUkkcDMwR0YlSSRwMzFHRiVJJHAzMkdGJUYs</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="V2(P0, P1, P2, P3)" display=" ">LUkjVjJHNiI2JkkjUDBHRiRJI1AxR0YkSSNQMkdGJEkjUDNHRiQ=</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display=" "> </Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group labelreference="L81" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYn</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group labelreference="L80" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">mapping jacobian</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="J := Jacobian([V(P0, P1, P2, P3)], [p00, p01, p02, p10, p11, p12, p20, p21, p22, p30, p31, p32]):" display=" ">QyQ+SSJKRzYiLUkpSmFjb2JpYW5HRiU2JDcjLUkiVkdGJTYmSSNQMEdGJUkjUDFHRiVJI1AyR0YlSSNQM0dGJTcuSSRwMDBHRiVJJHAwMUdGJUkkcDAyR0YlSSRwMTBHRiVJJHAxMUdGJUkkcDEyR0YlSSRwMjBHRiVJJHAyMUdGJUkkcDIyR0YlSSRwMzBHRiVJJHAzMUdGJUkkcDMyR0YlISIi</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">for geometric stiffness</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="H := Hessian(V(P0, P1, P2, P3), [p00, p01, p02, p10, p11, p12, p20, p21, p22, p30, p31, p32]):" display=" ">QyQ+SSJIRzYiLUkoSGVzc2lhbkdGJTYkLUkiVkdGJTYmSSNQMEdGJUkjUDFHRiVJI1AyR0YlSSNQM0dGJTcuSSRwMDBHRiVJJHAwMUdGJUkkcDAyR0YlSSRwMTBHRiVJJHAxMUdGJUkkcDEyR0YlSSRwMjBHRiVJJHAyMUdGJUkkcDIyR0YlSSRwMzBHRiVJJHAzMUdGJUkkcDMyR0YlISIi</Equation></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYn</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">generating C code for mapping, jacobian and hessian all together, hopping for more optimizations</Text-field>
<Text-field style="Text" layout="Normal">the idea is to add 2 lines to the hessian, one for the volume and one for the jacobian, and to let mapple</Text-field>
<Text-field style="Text" layout="Normal">write the C code for all these lines</Text-field>
</Input>
</Group>
<Group labelreference="L70" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="JV := convert(J, Vector):" display=" ">Qyo+SSNKVkc2Ii1JKGNvbnZlcnRHJSpwcm90ZWN0ZWRHNiRJIkpHRiVJJ1ZlY3Rvckc2JEYoSShfc3lzbGliR0YlISIiPkkmVE9UQUxHRiVJIkhHRiVGLj4tRjA2JCIjOCIiIi1JIlZHRiU2JkkjUDBHRiVJI1AxR0YlSSNQMkdGJUkjUDNHRiVGLj4tRjA2JCIjOTtGNkYlRiRGLg==</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L72" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">a quick verif</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="evalb(TOTAL[14, 1] = JV[1]);" display=" ">QyQtSSZldmFsYkclKnByb3RlY3RlZEc2Iy8mSSZUT1RBTEc2IjYkIiM5IiIiJkkjSlZHRio2I0YtRi0=</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">SSV0cnVlRyUqcHJvdGVjdGVkRw==</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L79" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">conversion in array is essential for a correct code generation</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="TOTALARRAY := convert(TOTAL, array):" display=" ">QyQ+SStUT1RBTEFSUkFZRzYiLUkoY29udmVydEclKnByb3RlY3RlZEc2JEkmVE9UQUxHRiVJJmFycmF5R0YoISIi</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L73" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="C(TOTALARRAY, optimize)" display="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">LUkiQ0c2IjYkSStUT1RBTEFSUkFZR0YkSSlvcHRpbWl6ZUdGJA==</Equation></Text-field>
</Input>
<Output>
<Text-field style="Line Printed Output" layout="Line Printed Output">t1 = p22 * p11;</Text-field>
<Text-field style="Line Printed Output" layout="Line Printed Output">t3 = p11 * p32;
t5 = p21 * p12;
t7 = p12 * p31;
t9 = p21 * p32;
t11 = p22 * p31;
t13 = p10 * p22;
t15 = p01 * p10;
t17 = p20 * p12;
t19 = p01 * p12;
t21 = p01 * p20;
t23 = p01 * p22;
t25 = p00 * t1 - p00 * t11 - p00 * t3 - p00 * t5 + p00 * t7 + p00 * t9 - p01 * t13 + p01 * t17 - p30 * t19 + p30 * t23 + p32 * t15 - p32 * t21;
t26 = p21 * p10;
t28 = p10 * p02;
t30 = p20 * p11;
t32 = p11 * p02;
t34 = p20 * p02;
t36 = p21 * p02;
t44 = p02 * t26 - p02 * t30 - p30 * t1 + p30 * t32 - p30 * t36 + p30 * t5 + p31 * t13 - p31 * t17 - p31 * t28 + p31 * t34 - p32 * t26 + p32 * t30;
t45 = t25 + t44;
t46 = t45 * t45;
t47 = sqrt(t46);
t50 = 0.1e1 / t47;
t51 = t1 - t3 - t5 + t7 + t9 - t11;
t52 = t51 * t51;
t54 = 0.1e1 / t47;
t57 = p10 * p32;
t58 = p12 * p30;
t59 = p20 * p32;
t60 = p22 * p30;
t61 = -t13 + t57 + t17 - t58 - t59 + t60;
t66 = -t61 * t51 * t50 + t51 * t61 * t54;
t67 = p10 * p31;
t68 = p11 * p30;
t69 = p31 * p20;
t70 = p21 * p30;
t71 = t26 - t67 - t30 + t68 + t69 - t70;
t74 = t71 * t54;
t76 = -t71 * t51 * t50 + t51 * t74;
t77 = p01 * p32;
t78 = p02 * p31;
t79 = -t23 + t77 + t36 - t78 - t9 + t11;
t82 = t79 * t54;
t84 = -t79 * t51 * t50 + t51 * t82;
t85 = p00 * p22;
t86 = p00 * p32;
t87 = p02 * p30;
t88 = t85 - t86 - t34 + t87 + t59 - t60;
t91 = t88 * t54;
t93 = t45 * t54;
t94 = p22 - p32;
t96 = -t88 * t51 * t50 + t51 * t91 + t94 * t93;
t97 = p00 * p21;
t98 = p00 * p31;
t99 = p01 * p30;
t100 = -t97 + t98 + t21 - t99 - t69 + t70;
t103 = t100 * t54;
t105 = p31 - p21;
t107 = -t100 * t51 * t50 + t51 * t103 + t105 * t93;
t108 = t19 - t77 - t32 + t78 + t3 - t7;
t111 = t108 * t54;
t113 = -t108 * t51 * t50 + t51 * t111;
t114 = p00 * p12;
t115 = -t114 + t86 + t28 - t87 - t57 + t58;
t118 = t115 * t54;
t120 = p32 - p12;
t122 = -t115 * t51 * t50 + t51 * t118 + t120 * t93;
t123 = p00 * p11;
t124 = t123 - t98 - t15 + t99 + t67 - t68;
t127 = t124 * t54;
t129 = p11 - p31;
t131 = -t124 * t51 * t50 + t51 * t127 + t129 * t93;
t132 = -t19 + t23 + t32 - t36 - t1 + t5;
t135 = t132 * t54;
t137 = -t132 * t51 * t50 + t51 * t135;
t138 = t114 - t85 - t28 + t34 + t13 - t17;
t141 = t138 * t54;
t143 = p12 - p22;
t145 = -t138 * t51 * t50 + t51 * t141 + t143 * t93;
t146 = -t123 + t97 + t15 - t21 - t26 + t30;
t149 = t146 * t54;
t151 = p21 - p11;
t153 = -t146 * t51 * t50 + t51 * t149 + t151 * t93;
t154 = t61 * t61;
t161 = -t71 * t61 * t50 + t61 * t74;
t166 = -t79 * t61 * t50 + t61 * t82 - t94 * t93;
t170 = -t88 * t61 * t50 + t61 * t91;
t174 = p20 - p30;
t176 = -t100 * t61 * t50 + t61 * t103 + t174 * t93;
t181 = -t108 * t61 * t50 + t61 * t111 - t120 * t93;
t185 = -t115 * t61 * t50 + t61 * t118;
t189 = p30 - p10;
t191 = -t124 * t61 * t50 + t61 * t127 + t189 * t93;
t196 = -t132 * t61 * t50 + t61 * t135 - t143 * t93;
t200 = -t138 * t61 * t50 + t61 * t141;
t204 = p10 - p20;
t206 = -t146 * t61 * t50 + t61 * t149 + t204 * t93;
t207 = t71 * t71;
t215 = -t79 * t71 * t50 - t105 * t93 + t71 * t82;
t220 = -t88 * t71 * t50 - t174 * t93 + t71 * t91;
t224 = -t100 * t71 * t50 + t71 * t103;
t229 = -t108 * t71 * t50 + t71 * t111 - t129 * t93;
t234 = -t115 * t71 * t50 + t71 * t118 - t189 * t93;
t238 = -t124 * t71 * t50 + t71 * t127;
t243 = -t132 * t71 * t50 + t71 * t135 - t151 * t93;
t248 = -t138 * t71 * t50 + t71 * t141 - t204 * t93;
t252 = -t146 * t71 * t50 + t71 * t149;
t253 = t79 * t79;
t260 = -t88 * t79 * t50 + t79 * t91;
t264 = -t100 * t79 * t50 + t79 * t103;
t268 = -t108 * t79 * t50 + t79 * t111;
t272 = p02 - p32;
t274 = -t115 * t79 * t50 + t79 * t118 + t272 * t93;
t278 = p31 - p01;
t280 = -t124 * t79 * t50 + t79 * t127 + t278 * t93;
t284 = -t132 * t79 * t50 + t79 * t135;
t288 = p22 - p02;
t290 = -t138 * t79 * t50 + t79 * t141 + t288 * t93;
t294 = p01 - p21;
t296 = -t146 * t79 * t50 + t79 * t149 + t294 * t93;
t297 = t88 * t88;
t304 = -t100 * t88 * t50 + t88 * t103;
t309 = -t108 * t88 * t50 + t88 * t111 - t272 * t93;
t313 = -t115 * t88 * t50 + t88 * t118;
t317 = p00 - p30;
t319 = -t124 * t88 * t50 + t88 * t127 + t317 * t93;
t324 = -t132 * t88 * t50 + t88 * t135 - t288 * t93;
t328 = -t138 * t88 * t50 + t88 * t141;
t332 = p20 - p00;
t334 = -t146 * t88 * t50 + t88 * t149 + t332 * t93;
t335 = t100 * t100;
t343 = -t108 * t100 * t50 + t100 * t111 - t278 * t93;
t348 = -t115 * t100 * t50 + t100 * t118 - t317 * t93;
t352 = -t124 * t100 * t50 + t100 * t127;
t357 = -t132 * t100 * t50 + t100 * t135 - t294 * t93;
t362 = -t138 * t100 * t50 + t100 * t141 - t332 * t93;
t366 = -t146 * t100 * t50 + t100 * t149;
t367 = t108 * t108;
t374 = -t115 * t108 * t50 + t108 * t118;
t378 = -t124 * t108 * t50 + t108 * t127;
t382 = -t132 * t108 * t50 + t108 * t135;
t386 = p02 - p12;
t388 = -t138 * t108 * t50 + t108 * t141 + t386 * t93;
t392 = p11 - p01;
t394 = -t146 * t108 * t50 + t108 * t149 + t392 * t93;
t395 = t115 * t115;
t402 = -t124 * t115 * t50 + t115 * t127;
t407 = -t132 * t115 * t50 + t115 * t135 - t386 * t93;
t411 = -t138 * t115 * t50 + t115 * t141;
t415 = p00 - p10;
t417 = -t146 * t115 * t50 + t115 * t149 + t415 * t93;
t418 = t124 * t124;
t426 = -t132 * t124 * t50 + t124 * t135 - t392 * t93;
t431 = -t138 * t124 * t50 + t124 * t141 - t415 * t93;
t435 = -t146 * t124 * t50 + t124 * t149;
t436 = t132 * t132;
t443 = -t138 * t132 * t50 + t132 * t141;
t447 = -t146 * t132 * t50 + t132 * t149;
t448 = t138 * t138;
t455 = -t146 * t138 * t50 + t138 * t149;
t456 = t146 * t146;
TOTALARRAY[0][0] = -t52 * t50 / 0.6e1 + t52 * t54 / 0.6e1;
TOTALARRAY[0][1] = t66 / 0.6e1;
TOTALARRAY[0][2] = t76 / 0.6e1;
TOTALARRAY[0][3] = t84 / 0.6e1;
TOTALARRAY[0][4] = t96 / 0.6e1;
TOTALARRAY[0][5] = t107 / 0.6e1;
TOTALARRAY[0][6] = t113 / 0.6e1;
TOTALARRAY[0][7] = t122 / 0.6e1;
TOTALARRAY[0][8] = t131 / 0.6e1;
TOTALARRAY[0][9] = t137 / 0.6e1;
TOTALARRAY[0][10] = t145 / 0.6e1;
TOTALARRAY[0][11] = t153 / 0.6e1;
TOTALARRAY[1][0] = t66 / 0.6e1;
TOTALARRAY[1][1] = -t154 * t50 / 0.6e1 + t154 * t54 / 0.6e1;
TOTALARRAY[1][2] = t161 / 0.6e1;
TOTALARRAY[1][3] = t166 / 0.6e1;
TOTALARRAY[1][4] = t170 / 0.6e1;
TOTALARRAY[1][5] = t176 / 0.6e1;
TOTALARRAY[1][6] = t181 / 0.6e1;
TOTALARRAY[1][7] = t185 / 0.6e1;
TOTALARRAY[1][8] = t191 / 0.6e1;
TOTALARRAY[1][9] = t196 / 0.6e1;
TOTALARRAY[1][10] = t200 / 0.6e1;
TOTALARRAY[1][11] = t206 / 0.6e1;
TOTALARRAY[2][0] = t76 / 0.6e1;
TOTALARRAY[2][1] = t161 / 0.6e1;
TOTALARRAY[2][2] = -t207 * t50 / 0.6e1 + t207 * t54 / 0.6e1;
TOTALARRAY[2][3] = t215 / 0.6e1;
TOTALARRAY[2][4] = t220 / 0.6e1;
TOTALARRAY[2][5] = t224 / 0.6e1;
TOTALARRAY[2][6] = t229 / 0.6e1;
TOTALARRAY[2][7] = t234 / 0.6e1;
TOTALARRAY[2][8] = t238 / 0.6e1;
TOTALARRAY[2][9] = t243 / 0.6e1;
TOTALARRAY[2][10] = t248 / 0.6e1;
TOTALARRAY[2][11] = t252 / 0.6e1;
TOTALARRAY[3][0] = t84 / 0.6e1;
TOTALARRAY[3][1] = t166 / 0.6e1;
TOTALARRAY[3][2] = t215 / 0.6e1;
TOTALARRAY[3][3] = -t253 * t50 / 0.6e1 + t253 * t54 / 0.6e1;
TOTALARRAY[3][4] = t260 / 0.6e1;
TOTALARRAY[3][5] = t264 / 0.6e1;
TOTALARRAY[3][6] = t268 / 0.6e1;
TOTALARRAY[3][7] = t274 / 0.6e1;
TOTALARRAY[3][8] = t280 / 0.6e1;
TOTALARRAY[3][9] = t284 / 0.6e1;
TOTALARRAY[3][10] = t290 / 0.6e1;
TOTALARRAY[3][11] = t296 / 0.6e1;
TOTALARRAY[4][0] = t96 / 0.6e1;
TOTALARRAY[4][1] = t170 / 0.6e1;
TOTALARRAY[4][2] = t220 / 0.6e1;
TOTALARRAY[4][3] = t260 / 0.6e1;
TOTALARRAY[4][4] = -t297 * t50 / 0.6e1 + t297 * t54 / 0.6e1;
TOTALARRAY[4][5] = t304 / 0.6e1;
TOTALARRAY[4][6] = t309 / 0.6e1;
TOTALARRAY[4][7] = t313 / 0.6e1;
TOTALARRAY[4][8] = t319 / 0.6e1;
TOTALARRAY[4][9] = t324 / 0.6e1;
TOTALARRAY[4][10] = t328 / 0.6e1;
TOTALARRAY[4][11] = t334 / 0.6e1;
TOTALARRAY[5][0] = t107 / 0.6e1;
TOTALARRAY[5][1] = t176 / 0.6e1;
TOTALARRAY[5][2] = t224 / 0.6e1;
TOTALARRAY[5][3] = t264 / 0.6e1;
TOTALARRAY[5][4] = t304 / 0.6e1;
TOTALARRAY[5][5] = -t335 * t50 / 0.6e1 + t335 * t54 / 0.6e1;
TOTALARRAY[5][6] = t343 / 0.6e1;
TOTALARRAY[5][7] = t348 / 0.6e1;
TOTALARRAY[5][8] = t352 / 0.6e1;
TOTALARRAY[5][9] = t357 / 0.6e1;
TOTALARRAY[5][10] = t362 / 0.6e1;
TOTALARRAY[5][11] = t366 / 0.6e1;
TOTALARRAY[6][0] = t113 / 0.6e1;
TOTALARRAY[6][1] = t181 / 0.6e1;
TOTALARRAY[6][2] = t229 / 0.6e1;
TOTALARRAY[6][3] = t268 / 0.6e1;
TOTALARRAY[6][4] = t309 / 0.6e1;
TOTALARRAY[6][5] = t343 / 0.6e1;
TOTALARRAY[6][6] = -t367 * t50 / 0.6e1 + t367 * t54 / 0.6e1;
TOTALARRAY[6][7] = t374 / 0.6e1;
TOTALARRAY[6][8] = t378 / 0.6e1;
TOTALARRAY[6][9] = t382 / 0.6e1;
TOTALARRAY[6][10] = t388 / 0.6e1;
TOTALARRAY[6][11] = t394 / 0.6e1;
TOTALARRAY[7][0] = t122 / 0.6e1;
TOTALARRAY[7][1] = t185 / 0.6e1;
TOTALARRAY[7][2] = t234 / 0.6e1;
TOTALARRAY[7][3] = t274 / 0.6e1;
TOTALARRAY[7][4] = t313 / 0.6e1;
TOTALARRAY[7][5] = t348 / 0.6e1;
TOTALARRAY[7][6] = t374 / 0.6e1;
TOTALARRAY[7][7] = -t395 * t50 / 0.6e1 + t395 * t54 / 0.6e1;
TOTALARRAY[7][8] = t402 / 0.6e1;
TOTALARRAY[7][9] = t407 / 0.6e1;
TOTALARRAY[7][10] = t411 / 0.6e1;
TOTALARRAY[7][11] = t417 / 0.6e1;
TOTALARRAY[8][0] = t131 / 0.6e1;
TOTALARRAY[8][1] = t191 / 0.6e1;
TOTALARRAY[8][2] = t238 / 0.6e1;
TOTALARRAY[8][3] = t280 / 0.6e1;
TOTALARRAY[8][4] = t319 / 0.6e1;
TOTALARRAY[8][5] = t352 / 0.6e1;
TOTALARRAY[8][6] = t378 / 0.6e1;
TOTALARRAY[8][7] = t402 / 0.6e1;
TOTALARRAY[8][8] = -t418 * t50 / 0.6e1 + t418 * t54 / 0.6e1;
TOTALARRAY[8][9] = t426 / 0.6e1;
TOTALARRAY[8][10] = t431 / 0.6e1;
TOTALARRAY[8][11] = t435 / 0.6e1;
TOTALARRAY[9][0] = t137 / 0.6e1;
TOTALARRAY[9][1] = t196 / 0.6e1;
TOTALARRAY[9][2] = t243 / 0.6e1;
TOTALARRAY[9][3] = t284 / 0.6e1;
TOTALARRAY[9][4] = t324 / 0.6e1;
TOTALARRAY[9][5] = t357 / 0.6e1;
TOTALARRAY[9][6] = t382 / 0.6e1;
TOTALARRAY[9][7] = t407 / 0.6e1;
TOTALARRAY[9][8] = t426 / 0.6e1;
TOTALARRAY[9][9] = -t436 * t50 / 0.6e1 + t436 * t54 / 0.6e1;
TOTALARRAY[9][10] = t443 / 0.6e1;
TOTALARRAY[9][11] = t447 / 0.6e1;
TOTALARRAY[10][0] = t145 / 0.6e1;
TOTALARRAY[10][1] = t200 / 0.6e1;
TOTALARRAY[10][2] = t248 / 0.6e1;
TOTALARRAY[10][3] = t290 / 0.6e1;
TOTALARRAY[10][4] = t328 / 0.6e1;
TOTALARRAY[10][5] = t362 / 0.6e1;
TOTALARRAY[10][6] = t388 / 0.6e1;
TOTALARRAY[10][7] = t411 / 0.6e1;
TOTALARRAY[10][8] = t431 / 0.6e1;
TOTALARRAY[10][9] = t443 / 0.6e1;
TOTALARRAY[10][10] = -t448 * t50 / 0.6e1 + t448 * t54 / 0.6e1;
TOTALARRAY[10][11] = t455 / 0.6e1;
TOTALARRAY[11][0] = t153 / 0.6e1;
TOTALARRAY[11][1] = t206 / 0.6e1;
TOTALARRAY[11][2] = t252 / 0.6e1;
TOTALARRAY[11][3] = t296 / 0.6e1;
TOTALARRAY[11][4] = t334 / 0.6e1;
TOTALARRAY[11][5] = t366 / 0.6e1;
TOTALARRAY[11][6] = t394 / 0.6e1;
TOTALARRAY[11][7] = t417 / 0.6e1;
TOTALARRAY[11][8] = t435 / 0.6e1;
TOTALARRAY[11][9] = t447 / 0.6e1;
TOTALARRAY[11][10] = t455 / 0.6e1;
TOTALARRAY[11][11] = -t456 * t50 / 0.6e1 + t456 * t54 / 0.6e1;
TOTALARRAY[12][0] = t47 / 0.6e1;
TOTALARRAY[12][1] = 0.0e0;
TOTALARRAY[12][2] = 0.0e0;
TOTALARRAY[12][3] = 0.0e0;
TOTALARRAY[12][4] = 0.0e0;
TOTALARRAY[12][5] = 0.0e0;
TOTALARRAY[12][6] = 0.0e0;
TOTALARRAY[12][7] = 0.0e0;
TOTALARRAY[12][8] = 0.0e0;
TOTALARRAY[12][9] = 0.0e0;
TOTALARRAY[12][10] = 0.0e0;
TOTALARRAY[12][11] = 0.0e0;
TOTALARRAY[13][0] = t51 * t93 / 0.6e1;
TOTALARRAY[13][1] = t61 * t93 / 0.6e1;
TOTALARRAY[13][2] = t71 * t93 / 0.6e1;
TOTALARRAY[13][3] = t79 * t93 / 0.6e1;
TOTALARRAY[13][4] = t88 * t93 / 0.6e1;
TOTALARRAY[13][5] = t100 * t93 / 0.6e1;
TOTALARRAY[13][6] = t108 * t93 / 0.6e1;
TOTALARRAY[13][7] = t115 * t93 / 0.6e1;
TOTALARRAY[13][8] = t124 * t93 / 0.6e1;
TOTALARRAY[13][9] = t132 * t93 / 0.6e1;
TOTALARRAY[13][10] = t138 * t93 / 0.6e1;
TOTALARRAY[13][11] = t146 * t93 / 0.6e1;</Text-field>
</Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGNEYv">JSFH</Equation></Text-field><Pagebreak></Pagebreak>
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<Input>
<Text-field style="Text" layout="Normal"></Text-field>
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</Worksheet>