Scenario: Target Excluded by Constraint, Initial Guess Not Excluded by Constraint

The most common case, where a desired optimal is impacted by the constraint. If this happens, the
search progresses from the initial guess towards the (ideal) optimum, but is restricted at a barrier.


Scenario: Target Excluded by Constraint, Initial Guess Excluded by Constraint

The scenario where the constraint is triggered upon initialization; the first guess violates the constraint
and the search uses a slack variable to find the pseudoequality case at the barrier.


Scenario: Target Not Excluded by Constraint, Initial Guess Not Excluded by Constraint

The trivial case, where the initial guess does not violate the constraint, and the target optimum solution is
not impacted by the constraint. The search never engages or disengages a constraint


Scenario: Target Not Excluded by Constraint, Initial Guess Excluded by Constraint

The 'bad initial guess' trivial case, where the initial guess violates the constraint, but the target optimum solution is
not impacted by the constraint. The search exits the domain of the constraint, and will be deactivated.

