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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="spherical_ball.xsil" expected="spherical_ball_expected.xsil" absolute_tolerance="1e-5" relative_tolerance="1e-5" />
<xsil_file name="spherical_ball_coordinate_space1.xsil" expected="spherical_ball_coordinate_space1_expected.xsil" absolute_tolerance="1e-5" relative_tolerance="1e-5" />
<xsil_file name="spherical_ball_spectral_space.xsil" expected="spherical_ball_spectral_space_expected.xsil" absolute_tolerance="1e-4" relative_tolerance="1e-4" />
<xsil_file name="spherical_ball_coordinate_space2.xsil" expected="spherical_ball_coordinate_space_expected.xsil" absolute_tolerance="1e-3" relative_tolerance="1e-3" />
</testing>
<name>spherical_ball</name>
<author>Mattias Johnsson</author>
<description>
Calculate the volume of unit ball using spherical bessel transform
</description>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="r" lattice="256" domain="(0, 1.5)" transform="spherical-bessel" volume_prefactor="4.0*M_PI"/>
</transverse_dimensions>
</geometry>
<vector name="densityvector" type="real" dimensions="r">
<components> rho </components>
<initialisation>
<![CDATA[
if (r<=1.0)
rho = 1.0;
else
rho = 0.0;
]]>
</initialisation>
</vector>
<sequence>
<breakpoint filename="spherical_ball_coordinate_space1.xsil">
<dependencies>densityvector</dependencies>
</breakpoint>
<breakpoint filename="spherical_ball_spectral_space.xsil">
<dependencies basis="kr">densityvector</dependencies>
</breakpoint>
<breakpoint filename="spherical_ball_coordinate_space2.xsil">
<dependencies>densityvector</dependencies>
</breakpoint>
</sequence>
<output>
<sampling_group basis="r(0)" initial_sample="yes">
<moments> volume </moments>
<dependencies>densityvector</dependencies>
<![CDATA[
volume = rho / (M_PI*4.0/3.0) ;// This should be close to 1.
]]>
</sampling_group>
</output>
</simulation>
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