4.4.4.dae_public_in.cellml

<?xml version="1.0" encoding="UTF-8"?>
<!-- CellML Test Suite. https://github.com/MichaelClerx/cellml-validation -->
<!-- CellML 1.0, 4.4.4: A mathml:math can only modify 'owned' variables.

This rule gets a bit dodgy for algebraically defined models:

[component a]
variable x (in)
variable y (in)
y + x = 3

[component b]
variable x (out)
variable y (out)
variable z (in)
x + y + z = 10

[variable c]
variable z (out)
z = 2

Presuming here that this is invalid, because the equation in component a
"modifies" x and/or y. -->
<model name="dae_public_in"
       xmlns="http://www.cellml.org/cellml/1.0#"
       xmlns:cellml="http://www.cellml.org/cellml/1.0#">
  <component name="a">
    <variable name="x" units="dimensionless" public_interface="in" />
    <variable name="y" units="dimensionless" public_interface="in" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <plus />
          <ci>x</ci>
          <ci>y</ci>
        </apply>
        <cn cellml:units="dimensionless">3</cn>
      </apply>
    </math>
  </component>
  <component name="b">
    <variable name="x" units="dimensionless" public_interface="out" />
    <variable name="y" units="dimensionless" public_interface="out" />
    <variable name="z" units="dimensionless" public_interface="in" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <plus />
          <ci>x</ci>
          <ci>y</ci>
          <ci>z</ci>
        </apply>
        <cn cellml:units="dimensionless">10</cn>
      </apply>
    </math>
  </component>
  <component name="c">
    <variable name="z" units="dimensionless" public_interface="out" initial_value="2" />
  </component>
  <connection>
    <map_components component_1="a" component_2="b" />
    <map_variables variable_1="x" variable_2="x" />
    <map_variables variable_1="y" variable_2="y" />
  </connection>
  <connection>
    <map_components component_1="b" component_2="c" />
    <map_variables variable_1="z" variable_2="z" />
  </connection>
</model>