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Accuracy query


Dear Madam, Sir
 my name is Alexandros Beskos, I'm doing a PhD in the department of mathematics and statistics in Lancaster. My query has to do with the accuracy of the values for the cumulative distribution function (cdf) of a standard normal distribution and its inverse. 
First of all I haven't managed to find a function fot the reverse cdf. 
Then for the cdf, is the gsl_sf_erf_Q precise, and in how many decimal digits ?? For, if for example, it is 15-digit accurate, then the outcome  gsl_sf_erf_Q(20) will not be precise.

Thank you a lot for your time.


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