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@kevinushey suggested (in Bug 18726) that the error emitted when a time limit set by setTimeLimit, setSessionTimeLimit expires be classed rather than the simple-error it currently is.
As Kevin points out the place in the C-code to look is R_CheckTimeLimit (in src/main/sysutils.c).
The trick here will be to figure out how to get C code to emit a classed error. I suggest following the breadcrumbs left by Kevin about stack overflow errors now being classed to figure this out.
There is not currently any engagement on this issue from R-core but it does fall into a larger project of adopting classed errors around the codebase of base R which was suggested as a possible R Sprint 2023 project by @ltierney
mmaechler, MichaelChirico and llrs
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