bugGNU Scientific Library - Bugs: bug #58031, gsl_sf_bessel_Kn_scaled...


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bug #58031: gsl_sf_bessel_Kn_scaled incorrectly evaluating limit

Submitter:  Jackson Vanover <jacksonvanover>
Submitted:  Mon 23 Mar 2020 11:21:44 PM UTC
Category:  Accuracy problem Severity:  3 - Normal
Operating System:  Ubuntu 18.04 Status:  None
Assigned to:  None Open/Closed:  Open
Release:  2.6

Mon 23 Mar 2020 11:21:44 PM UTC, original submission:  

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 attempting to evaluate the limit approaching positive infinity,
the scaled irregular modified cylindrical Bessel function reduces to
an indeterminate form of 0 x inf but GSL just returns a zero without

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

int main (void){
        double out;
        out = gsl_sf_bessel_Kn_scaled(0, GSL_POSINF);

        printf("%.*f\n", DBL_DIG-1, out);
        printf("%.21e\n", out);
        return 0;

Jackson Vanover <jacksonvanover>


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