[feature] take advantage of seeded RNG to make testing automatic

[drobnyjt]

Is your feature request related to a problem? Please describe.
Currently, the values emitted during testing are simple written to the log and later compared by eye to make sure they are within monte carlo error (~1/sqrt(N)) - this is falible

Proposed solution
Once the seeded RNG has been implemented and merged, the testing suite should take advantage of it to compare values - they should be exactly the same now, unless some new change modifies the number of RNG calls

[drobnyjt]

Implemented (partially) on dev branch; I will make a list here later for everything else I want to add.