By: ValentinHirschi <valentin.hirschi@gmail.com>
document the implemented h-shaped inverse CDF Describe the normalized log-logistic mixture, its bracketed solve in log(t), and the Jacobian obtained from the same proposal derivative. Keep physical h and h_dual unchanged and record the user's decision to retain this construction. Validation: checked the documentation against the sampling map and eager dual implementation; git diff --check passes. Runtime optimization and its saved-state acceptance work remain separate uncommitted changes. User request: How do you do the inverse CDF for the cutkosky cut h-function. It does not have a closed analytical expression. Also keep in mind that it is not absolutely necessary to have the exact h-function inverse. It is also ok to have a simpler function that mimics this shape close enough. But anyway it seems like it's not longer the bottleneck, so you can keep what you have already.