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Thought of new Activity index formula

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See plot: https://www.wolframalpha.com/input/?i=plot+y+%3D+5+-+5+*+(1+%2F+(pi%2F2+*+x%2B1))+and+y+%3D1+and+y+%3D+2+and+y+%3D+3+and+y+%3D+3.75+from+-0.5+to+3
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Rsl1122 2019-07-07 13:58:41 +03:00
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Plan/common/src/main/java/com/djrapitops/plan/db/access/queries/analysis/ActivityIndexQueries.java Normal file
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/*
* This file is part of Player Analytics (Plan).
*
* Plan is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License v3 as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Plan 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 Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Plan. If not, see <https://www.gnu.org/licenses/>.
*/
package com.djrapitops.plan.db.access.queries.analysis;
/**
* Queries for Activity Index that attempts to gain insight into player activity levels.
* <p>
* Old formula for activity index was not linear and difficult to turn into a query due to conditional multipliers.
* Thus a new formula was written.
* <p>
* {@code T} - Time played after someone is considered active on a particular week
* {@code t1, t2, t3} - Time played that week
* <p>
* Activity index takes into account last 3 weeks.
* <p>
* Activity for a single week is calculated using {@code A(t) = (1 / (pi/2 * (t/T) + 1))}.
* A(t) is based on function f(x) = 1 / (x + 1), which has property f(0) = 1, decreasing from there, but not in a straight line.
* You can see the function plotted here https://www.wolframalpha.com/input/?i=1+%2F+(x%2B1)+from+-1+to+2
* <p>
* To fine tune the curve pi/2 is used since it felt like a good curve.
* <p>
* Activity index A is calculated by using the formula:
* {@code A = 5 - 5 * [A(t1) + A(t2) + A(t3)] / 3}
* <p>
* Plot for A and limits
* https://www.wolframalpha.com/input/?i=plot+y+%3D+5+-+5+*+(1+%2F+(pi%2F2+*+x%2B1))+and+y+%3D1+and+y+%3D+2+and+y+%3D+3+and+y+%3D+3.75+from+-0.5+to+3
* <p>
* New Limits for A would thus be
* {@code < 1: Inactive}
* {@code > 1: Irregular}
* {@code > 2: Regular}
* {@code > 3: Active}
* {@code > 3.75: Very Active}
*
* @author Rsl1122
*/
public class ActivityIndexQueries {
}