- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2012-05-24 11:30:51+02:00
- Desc:
- adding a flattened version of the sine approximations import model for testing some SED-ML
- Permanent Source URI:
- https://models.cellml.org/w/andre/sine/rawfile/a3e1f00abeb8301bbf1e41364c85c2d610b15782/sin_approximations.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="sin_approximations_import" name="sin_approximations_import">
<component cmeta:id="main" name="main">
<variable cmeta:id="x" initial_value="0" name="x" private_interface="out" public_interface="out" units="dimensionless"/>
<variable cmeta:id="sin" name="sin1" private_interface="in" public_interface="out" units="dimensionless"/>
<variable cmeta:id="deriv_approx" name="sin2" private_interface="in" public_interface="out" units="dimensionless"/>
<variable cmeta:id="deriv_approx_initial_value" initial_value="0" name="deriv_approx_initial_value" private_interface="out" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parabolic_approx" name="sin3" private_interface="in" public_interface="out" units="dimensionless"/>
</component>
<component cmeta:id="sin" name="actual_sin">
<variable name="x" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sin" name="sin" private_interface="out" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="actual_sin">
<eq/>
<ci>sin</ci>
<apply>
<sin/>
<ci>x</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="sin" name="deriv_approx_sin">
<variable cmeta:id="x" name="x" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sin" initial_value="0" name="sin" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="sin_initial_value" private_interface="out" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>x</ci>
</bvar>
<ci>sin</ci>
</apply>
<apply>
<cos/>
<ci>x</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="sin" name="parabolic_approx_sin">
<variable cmeta:id="x" name="x" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sin" name="sin" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="k2_oPi" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="k2Pi" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="kPi_2" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="kPi" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="kPi_32" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="z" private_interface="out" public_interface="out" units="dimensionless"/>
<variable initial_value="0.75" name="C" private_interface="out" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k2_oPi">
<eq/>
<ci>k2_oPi</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn>
<pi/>
</apply>
</apply>
<apply id="k2Pi">
<eq/>
<ci>k2Pi</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn>
<pi/>
</apply>
</apply>
<apply id="kPi_2">
<eq/>
<ci>kPi_2</ci>
<apply>
<divide/>
<pi/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
<apply id="kPi">
<eq/>
<ci>kPi</ci>
<pi/>
</apply>
<apply id="kPi_32">
<eq/>
<ci>kPi_32</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3.0</cn>
<pi/>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
<apply id="z">
<eq/>
<ci>z</ci>
<piecewise>
<piece>
<apply>
<minus/>
<apply>
<times/>
<ci>x</ci>
<ci>k2_oPi</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi_2</ci>
</apply>
</piece>
<piece>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<pi/>
<ci>x</ci>
</apply>
<ci>k2_oPi</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi</ci>
</apply>
</piece>
<piece>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>x</ci>
<pi/>
</apply>
<ci>k2_oPi</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi_32</ci>
</apply>
</piece>
<otherwise>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>k2Pi</ci>
<ci>x</ci>
</apply>
<ci>k2_oPi</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.5</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply id="sin">
<eq/>
<ci>sin</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>z</ci>
<ci>z</ci>
</apply>
</apply>
<ci>C</ci>
<ci>z</ci>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi_2</ci>
</apply>
</piece>
<piece>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>z</ci>
<ci>z</ci>
</apply>
</apply>
<ci>C</ci>
<ci>z</ci>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi</ci>
</apply>
</piece>
<piece>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>z</ci>
<ci>z</ci>
</apply>
<ci>C</ci>
</apply>
<ci>z</ci>
</apply>
<apply>
<lt/>
<ci>x</ci>
<ci>kPi_32</ci>
</apply>
</piece>
<otherwise>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>z</ci>
<ci>z</ci>
</apply>
<ci>C</ci>
</apply>
<ci>z</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<connection>
<map_components component_1="actual_sin" component_2="main"/>
<map_variables variable_1="sin" variable_2="sin1"/>
<map_variables variable_1="x" variable_2="x"/>
</connection>
<connection>
<map_components component_1="deriv_approx_sin" component_2="main"/>
<map_variables variable_1="sin" variable_2="sin2"/>
<map_variables variable_1="x" variable_2="x"/>
<map_variables variable_1="sin_initial_value" variable_2="deriv_approx_initial_value"/>
</connection>
<connection>
<map_components component_1="parabolic_approx_sin" component_2="main"/>
<map_variables variable_1="sin" variable_2="sin3"/>
<map_variables variable_1="x" variable_2="x"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="main">
<component_ref component="actual_sin"/>
<component_ref component="deriv_approx_sin"/>
<component_ref component="parabolic_approx_sin"/>
</component_ref>
</group>
</model>
