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I have an idea to make the input to define_impl() more concise. Here's some pseudo code

What if the arguments were like so:

define_impl(proto_ipm, int_rule, state_start, state_end) 

If you supply a vector of length 1 with no names, then it applies it to all sub-kernels. E.g. int_rule = "midpoint" will use the midpoint rule for all sub-kernels. If you want to specify different values for each kernel, you supply a named vector. E.g. state_start = c("P" = "z", "F" = "x"). Most of the time (with simple IPMs) I imagine people will use the same rules and states for each kernel.

Just an idea!