URL:
<http://savannah.gnu.org/bugs/?39292>
Summary: possible error in gsl_sf_coulomb_wave_FG_e
Project: GNU Scientific Library
Submitted by: psa
Submitted on: Wed 19 Jun 2013 04:37:38 PM GMT
Category: Runtime error
Severity: 3 - Normal
Operating System:
Status: None
Assigned to: None
Open/Closed: Open
Release:
Discussion Lock: Any
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Details:
>From Alexey A. Illarionov:
Accidentally found a bug in specfun/coulomb.c . Trivial error in
solution of quadratic equation. None of the current test cases are
influenced by this bug since the value of C (actually N) determines
only the condition of applicability of "continued fraction+recursion"
algorithm.
=== modified file 'specfunc/coulomb.c'
- --- specfunc/coulomb.c 2007-07-02 18:34:24 +0000
+++ specfunc/coulomb.c 2012-10-26 04:27:18 +0000
@@ -1121,7 +1121,7 @@
* we must go at least as low as lam_G
*/
const double SMALL = GSL_SQRT_DBL_EPSILON;
- - const double C = sqrt(1.0 + 4.0*x*(x-2.0*eta));
+ const double C = 0.5 * sqrt(1.0 + 4.0*x*(x-2.0*eta));
const int N = ceil(lam_F - C + 0.5);
const double lam_0 = lam_F - GSL_MAX(N, 0);
const double lam_min = GSL_MIN(lam_0, lam_G);
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