Add JointInterval#312
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This PR adds dependent intervals as a new type
JointInterval. A dependent interval is constructed from a set of points. The convex hull of these points describes the permissible set of the joint intervals.By default, as with the
IntervalVariablesampling will return the marginal intervals of the permissible set. To instead obtain samples inside the hull one can pass the keywordintervals=falseto thesamplefunction. This is currently only possible for QMC sampling but could also be enabled for regular Monte Carlo.I've also added tests for this. As part of this PR I'm adding
TestItems.jlto enable running individual tests in VS Code. I've only migrated the test files I touched to the new system. The existing tests will run as before.To enable reliability analysis with the dependent intervals, constraints must be added to the interval propagation. I'm still working on this. I also still need to write documentation.
References
[1] M. Faes and D. Moens, “Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method,” Computer Methods in Applied Mechanics and Engineering, vol. 347, pp. 85–102, Apr. 2019, doi: 10.1016/j.cma.2018.12.021.