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Unexpected Results from gsl_sf_gamma_inc_Q


From: Jackson Vanover
Subject: Unexpected Results from gsl_sf_gamma_inc_Q
Date: Wed, 15 Jan 2020 15:51:45 -0800

Using version 2.6 of GSL from ftp://ftp.gnu.org/gnu/gsl/gsl-2.6.tar.gz

OS is Ubuntu 18.04.2 LTS

Hardware is a Dell workstation with a 3.60 GHz Intel i7-4790 and 32 GB
of RAM

Compiler is gcc 7.4.0 with the -w option

When the first argument is infinity, gsl_sf_gamma_inc_Q consistently
returns 1. Meanwhile, the implementations in SciPy, mpmath, and the JMAT
library all recognize this as an erroneous computation and throw exceptions
or return NaNs

#include <gsl/gsl_sf.h>
#include <stdio.h>
#include <gsl/gsl_math.h>

int main (void){
double out;
out = gsl_sf_gamma_inc_Q(GSL_POSINF, 22);

printf("%f\n", out);
printf("%.21e\n", out);
return 0;
}


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