Is there any way to generate random numbers based on arbitrary real valued functions? I am looking for something like random.gauss() but with natural log and exponential functions.
scipy[1] has a large collection of "standard" univariate pdfs, including normal, exponential, gamma, and the like.
One cannot generate random numbers from arbitrary real valued functions because a function needs to satisfy certain restrictions to be a pdf. For example, you cannot generate random numbers "with a log function", unless you restrict the domain and renormalize.
Generating random numbers from an arbitrary pdf is possible, but tricky. I encourage you to search the literature for "monte carlo sampling."
[1] http://www.scipy.org
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