[WIP] Energy preserving

[Sondar74]

I have cleaned the previous PR and just kept the nonlinear_constraints file.

[ketch]

@Sondar74 If the user requests q=8, the current code will ignore that and just give a method with q=7. When the code doesn't do what the user requests, it must inform the user of that. So in this case it should throw an error telling the user that the conditions for q>7 have not been implemented.

Any time a program does something different from what the user requests, it needs to inform the user of that.

[ketch]

It's fine. This PR is just a placeholder since this code requires the user to modify the constraint function file directly. If we do merge something into RK-Opt, it will have an interface where the user chooses q through an input parameter.

[Sondar74]

It's fine. This PR is just a placeholder since this code requires the user to modify the constraint function file directly. If we do merge something into RK-Opt, it will have an interface where the user chooses q through an input parameter.

Should I modify the code so that q becomes an optional input parameter for the rk_opt searching function?

[ketch]

I think the next critical task is to fully automate the generation of the MATLAB conditions, so we can be confident that they're correct.

[Sondar74]

I think the next critical task is to fully automate the generation of the MATLAB conditions, so we can be confident that they're correct.

I modified the conditions_generator Notebook so that it returns the Matlab format (in the energy_preserving repository). Please take a look at it.