MetaModelicaExercises/Tutorial_02.onb at master · ptaeuber/MetaModelicaExercises · GitHub

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<!DOCTYPE OMNotebook>
<Notebook>
  <GroupCell closed="false">
    <GroupCell closed="false"/>
    <TextCell style="Title">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:10px; margin-bottom:10px; margin-left:10px; margin-right:10px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Arial'; font-size:38pt; font-weight:600; color:#000000;">MetaModelica Exercises&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <TextCell style="Subtitle">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Arial'; font-size:24pt; font-style:italic; color:#000000;">Tutorial 2: Expressions&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <TextCell style="Author">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Arial'; font-size:14pt; font-style:italic; color:#000000;">Lennart Ochel [lennart.ochel@fh-bielefeld.de]&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <TextCell style="Section">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times'; font-size:18pt; font-weight:600; color:#000000;">Preparation&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <TextCell style="Text">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">First, the OpenModelica Compiler needs to be switched into MetaModelica mode. This can be done with the following statement:&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <GraphCell style="Graph" closed="false">
      <Input>setCommandLineOptions({"+g=MetaModelica", "-d=gen"})</Input>
      <Output>true</Output>
    </GraphCell>
    <TextCell style="Section">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times'; font-size:18pt; font-weight:600; color:#000000;">Type Definition&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <GraphCell style="Graph" closed="false">
      <Input>uniontype Expression
  record REAL "A real constant"
    Real r;
  end REAL;

  record ADD "lhs + rhs"
    Expression lhs, rhs;
  end ADD;

  record SUB "lhs - rhs"
    Expression lhs, rhs;
  end SUB;
end Expression;</Input>
      <Output>{Expression}</Output>
    </GraphCell>
    <TextCell style="Text">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">Add a record MUL to the uniontype Expression.&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <TextCell style="Text">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;img src="file:////tmp/OpenModelica/1.png" width="163" height="179" />&lt;/p>
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">The tree above represents expression e1.&lt;/span>&lt;/p>
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">Create an expression that contains the following: &lt;/span>&lt;/p>
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">e2 := (1.0 - 2.0) * (3.0 * (4.0 + 5.0))&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
      <Image name="file:////tmp/OpenModelica/1.png">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</Image>
    </TextCell>
    <GraphCell style="Graph" closed="false">
      <Input>e1 := ADD(REAL(1.0), SUB(REAL(4.0), REAL(2.0)));
e2 := REAL(0.0);</Input>
      <Output>[done]</Output>
    </GraphCell>
    <TextCell style="Section">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times'; font-size:18pt; font-weight:600; color:#000000;">Evaluate Expression&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <GraphCell style="Graph" closed="false">
      <Input>function evalExpression
  input Expression exp;
  output Real value;
algorithm
  value := matchcontinue(exp)
    local
      Expression a, b;
      Real val;
    case REAL(r=val) then val;
    case ADD(lhs=a, rhs=b) then evalExpression(a) + evalExpression(b);
    case SUB(lhs=a, rhs=b) then evalExpression(a) - evalExpression(b);
    else fail();
  end matchcontinue;
end evalExpression;</Input>
      <Output>{evalExpression}</Output>
    </GraphCell>
    <TextCell style="Text">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;span style=" font-family:'Times New Roman'; font-size:12pt; color:#000000;">Add a case for MUL to function evalExpression.&lt;/span>&lt;/p>&lt;/td>&lt;/tr>&lt;/table>&lt;/body>&lt;/html></Text>
    </TextCell>
    <GraphCell style="Graph" closed="false">
      <Input>evalExpression(e1);
evalExpression(e2)</Input>
      <Output>3.0
0.0</Output>
    </GraphCell>
    <TextCell style="Text">
      <Text>&lt;!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd">
&lt;html>&lt;head>&lt;meta name="qrichtext" content="1" />&lt;style type="text/css">
p, li { white-space: pre-wrap; }
&lt;/style>&lt;/head>&lt;body style=" font-family:'Sans Serif'; font-size:9pt; font-weight:400; font-style:normal;">
&lt;table border="0" style="-qt-table-type: root; margin-top:5px; margin-bottom:5px; margin-left:5px; margin-right:5px;">
&lt;tr>
&lt;td style="border: none;">
&lt;p style="-qt-paragraph-type:empty; margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">&lt;br />&lt;/p>
&lt;p style="-qt-paragraph-type:empty; margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px; font-family:'MS Shell Dlg 2'; font-size:8pt;">&lt;br />&lt;/p>
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