- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2014-12-12 10:15:32+13:00
- Desc:
- update to produce a report instead of the plot
- Permanent Source URI:
- https://models.cellml.org/w/andre/sine/rawfile/e3567cbdc3ae2a2932836eab5ad2750cb8db46bc/parabolic_approx_sin.xml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="parabolic_approx_sin"
cmeta:id="parabolic_approx_sin"
xmlns="http://www.cellml.org/cellml/1.1#"
xmlns:cellml="http://www.cellml.org/cellml/1.1#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
xmlns:bqs="http://www.cellml.org/bqs/1.0#"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#"
xmlns:cs="http://www.cellml.org/metadata/simulation/1.0#"
xmlns:cg="http://www.cellml.org/metadata/graphs/1.0#">
<rdf:Description rdf:about="">
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Nickerson</vCard:Family>
<vCard:Given>David</vCard:Given>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>david.nickerson@nus.edu.sg</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet" />
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>National University of Singapore</vCard:Orgname>
<vCard:Orgunit>Division of Bioengineering</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2006-12-21</dcterms:W3CDTF>
</dcterms:created>
</rdf:Description>
<rdf:Description rdf:about="#parabolic_approx_sin">
<dc:title>
Simple sine approximation model.
</dc:title>
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Approximate a sine curve with a continuous parabolic
approximation (valid for x = 0 to 2*pi).
</rdf:value>
<dc:creator rdf:parseType="Resource">
<vCard:FN>David Nickerson</vCard:FN>
</dc:creator>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<component name="sin" cmeta:id="sin">
<variable cmeta:id="x" name="x" units="dimensionless" public_interface="in" private_interface="out"/>
<variable cmeta:id="sin" name="sin" units="dimensionless" public_interface="out" private_interface="out"/>
<variable name="k2_oPi" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="k2Pi" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="kPi_2" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="kPi" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="kPi_32" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="z" public_interface="out" private_interface="out" units="dimensionless"/>
<variable name="C" public_interface="out" private_interface="out" initial_value="0.75" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k2_oPi"><eq/>
<ci>k2_oPi</ci>
<apply><divide/>
<cn cellml:units="dimensionless">2.0</cn>
<pi/>
</apply>
</apply>
<apply id="k2Pi"><eq/>
<ci>k2Pi</ci>
<apply><times/>
<cn cellml:units="dimensionless">2.0</cn>
<pi/>
</apply>
</apply>
<apply id="kPi_2"><eq/>
<ci>kPi_2</ci>
<apply><divide/>
<pi/>
<cn 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 cellml:units="dimensionless">3.0</cn>
<pi/>
</apply>
<cn 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 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 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 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 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>
</model>
