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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<name>integer_dimensions</name>
<author>Graham Dennis</author>
<description>
XMDS2 script to test integer dimensions.
</description>
<features>
<benchmark />
<error_check />
<bing />
<diagnostics /> <!-- This will make sure that all nonlocal accesses of dimensions are safe -->
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="j" type="integer" lattice="5" domain="(0,4)" />
</transverse_dimensions>
</geometry>
<vector name="main" type="complex">
<components> x </components>
<initialisation>
<![CDATA[
x = 1.0e-3;
x(j => 0) = 1.0;
]]>
</initialisation>
</vector>
<sequence>
<integrate algorithm="ARK45" interval="60" steps="25000" tolerance="1.0e-9">
<samples>1000</samples>
<operators>
<integration_vectors>main</integration_vectors>
<![CDATA[
long j_minus_one = (j-1) % _lattice_j;
if (j_minus_one < 0)
j_minus_one += _lattice_j;
long j_plus_one = (j+1) % _lattice_j;
dx_dt(j => j) = x(j => j)*(x(j => j_minus_one) - x(j => j_plus_one));
]]>
</operators>
</integrate>
</sequence>
<output format="ascii">
<sampling_group basis="j" initial_sample="yes">
<moments>xR</moments>
<dependencies>main</dependencies>
<![CDATA[
xR = x.Re();
]]>
</sampling_group>
</output>
</simulation>
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