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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<command_line>mpirun -n 1 ./anharmonic_oscillator_wigner_mpi</command_line>
<input_xsil_file name="anharmonic_oscillator_wigner_mpi_initial_even.xsil" />
<input_xsil_file name="anharmonic_oscillator_wigner_mpi_initial_odd.xsil" />
<xsil_file name="anharmonic_oscillator_wigner_mpi.xsil" expected="anharmonic_oscillator_wigner_mpi_expected.xsil" absolute_tolerance="1e-5" relative_tolerance="1e-5" />
</testing>
<name>anharmonic_oscillator_wigner_mpi</name>
<author>Graham Dennis</author>
<description>
Simulation of the Truncated Wigner function for an anharmonic oscillator with the initial state
being a coherent state.
</description>
<features>
<benchmark />
<bing />
<fftw plan="patient"/>
<globals>
<![CDATA[
/* system constants */
const real omega = 0.0;
const real g = 1.0;
/* initial state constants */
const real alpha_0 = 3.0;
]]>
</globals>
<validation kind="run-time" />
</features>
<driver name="distributed-mpi" />
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="m" type="integer" lattice="21" domain="(0, 20)" />
<dimension name="r" lattice="64" domain="(0, 6)" transform="dct" />
<dimension name="s" lattice="64" domain="(0, 6)" transform="dst" />
<dimension name="theta" lattice="32" domain="(-M_PI, M_PI)" />
</transverse_dimensions>
</geometry>
<vector name="evens" dimensions="m r" type="complex">
<components>
hE
</components>
<initialisation kind="xsil">
<filename>anharmonic_oscillator_wigner_mpi_initial_even.xsil</filename>
</initialisation>
</vector>
<vector name="odds" dimensions="m s" type="complex">
<components>
hO
</components>
<initialisation kind="xsil">
<filename>anharmonic_oscillator_wigner_mpi_initial_odd.xsil</filename>
</initialisation>
</vector>
<vector name="trig" dimensions="m theta" type="real">
<components>cos_me sin_me cos_mo sin_mo</components>
<initialisation>
<![CDATA[
cos_me = cos(2.0*m*theta);
sin_me = sin(2.0*m*theta);
cos_mo = cos((2.0*m+1.0)*theta);
sin_mo = sin((2.0*m+1.0)*theta);
]]>
</initialisation>
</vector>
<computed_vector name="WignerEven" dimensions="r theta" type="real">
<components>WE</components>
<evaluation>
<dependencies>evens trig</dependencies>
<![CDATA[
WE = hE.Re()*cos_me + hE.Im()*sin_me;
]]>
</evaluation>
</computed_vector>
<computed_vector name="WignerOdd" dimensions="s theta" type="real">
<components>WO</components>
<evaluation>
<dependencies>odds trig</dependencies>
<![CDATA[
WO = hO.Re()*cos_mo + hO.Im()*sin_mo;
]]>
</evaluation>
</computed_vector>
<sequence>
<integrate algorithm="ARK45" cutoff="1e-3" tolerance="1e-5" interval="7.0e-1" steps="100000">
<samples>20 20 20 20 20 20</samples>
<operators dimensions="r m">
<integration_vectors>evens</integration_vectors>
<![CDATA[
const real M = 2*m;
dhE_dt = -i*omega*M*hE - i*g*(r*r-1.0)*M*hE;
]]>
</operators>
<operators dimensions="s m">
<integration_vectors>odds</integration_vectors>
<![CDATA[
const real M = 2*m+1.0;
dhO_dt = -i*omega*M*hO - i*g*(s*s-1.0)*M*hO;
]]>
</operators>
</integrate>
</sequence>
<output format="binary">
<group>
<sampling basis="r theta" initial_sample="yes">
<moments>WER</moments>
<dependencies>WignerEven</dependencies>
<![CDATA[
WER = WE;
]]>
</sampling>
</group>
<sampling_group basis="s theta" initial_sample="yes">
<moments>WOR</moments>
<dependencies>WignerOdd</dependencies>
<![CDATA[
WOR = WO;
]]>
</sampling_group>
<sampling_group basis="m r" initial_sample="yes">
<moments>hER hEI</moments>
<dependencies>evens</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(hE);
]]>
</sampling_group>
<sampling_group basis="m s" initial_sample="yes">
<moments>hOR hOI</moments>
<dependencies>odds</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(hO);
]]>
</sampling_group>
<sampling_group basis="m kr" initial_sample="yes">
<moments>hER hEI</moments>
<dependencies>evens</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(hE);
]]>
</sampling_group>
<sampling_group basis="m ks" initial_sample="yes">
<moments>hOR hOI</moments>
<dependencies>odds</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(hO);
]]>
</sampling_group>
</output>
</simulation>
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