tame/core/test/core/numeric/percent.xml

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<?xml version="1.0"?>
<!--
Copyright (C) 2014-2021 Ryan Specialty Group, LLC.
This file is part of tame-core.
tame-core is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as
published by the Free Software Foundation, either version 3 of the
License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
-->
<package xmlns="http://www.lovullo.com/rater"
xmlns:c="http://www.lovullo.com/calc"
xmlns:t="http://www.lovullo.com/rater/apply-template"
desc="Test percentage arithemetic">
<import package="../../spec" />
<import package="../../../base" />
<import package="../../../numeric/percent" />
<t:describe name="_rtop_">
<t:describe name="given only a percentage">
<t:it desc="converts real into whole percentage">
<t:given>
<t:rtop name="#0.05" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#5" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
<t:it desc="converts integer into whole percentage">
<t:given>
<t:rtop name="#5" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#500" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
<t:it desc="converts negative into negative percentage">
<t:given>
<t:rtop name="#-0.5" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#-50" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
</t:describe>
<t:describe name="given a percent difference">
These tests are similar to the above, except that they represent
the~percent difference between two values. That is, given the
values $5$~and $15$, we arrive at a~$200%$ increase. So
if~$p=200$, then we want $5r=15, r=3=\((15-5)/5\)+1$.
<t:it desc="converts R into percentage P that will increase N
by P%">
<t:given>
<t:rtop name="#3" difference="true" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#200" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
Similarly, if we go from~$10$ to~$5$, we have~$p=-100$
and~$10r=5$; then~$r=1/2=0.5$.
<t:it desc="converts negative N into percentage P that will
decrease N by P%">
<t:given>
<t:rtop name="#0.5" difference="true" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#-50" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
</t:describe>
<t:describe name="given a value index">
<const name="PERCENT_REAL_VECTOR"
desc="Test vector">
<item value="3" desc="Real number" />
</const>
<t:it desc="converts the scalar value at the given index">
<t:given>
<t:rtop name="PERCENT_REAL_VECTOR" index="#0" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#300" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
</t:describe>
<t:describe name="given @negative@">
\ref{_rtop_} provides a way to negate the result using a
short-hand form for convenience and conciseness.
<t:it desc="negates resulting percentage">
<t:given>
<t:rtop name="#0.05" negate="true" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#-5" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
<t:it desc="negates resulting difference">
<t:given>
<t:rtop name="#2" negate="true"
difference="true" />
</t:given>
<t:expect>
<t:match-result>
<c:eq>
<c:value-of name="#-100" />
</c:eq>
</t:match-result>
</t:expect>
</t:it>
</t:describe>
</t:describe>
</package>