/usr/share/octave/packages/bim-1.1.5/bimu_bernoulli.m is in octave-bim 1.1.5-4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
## This file is part of:
## BIM - Diffusion Advection Reaction PDE Solver
##
## BIM is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2 of the License, or
## (at your option) any later version.
##
## BIM is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with BIM; If not, see <http://www.gnu.org/licenses/>.
##
## author: Carlo de Falco <cdf _AT_ users.sourceforge.net>
## author: Massimiliano Culpo <culpo _AT_ users.sourceforge.net>
## -*- texinfo -*-
##
## @deftypefn {Function File} @
## {[@var{bp}, @var{bn}]} = bimu_bernoulli (@var{x})
##
## Compute the values of the Bernoulli function corresponding to @var{x}
## and - @var{x} arguments.
##
## @seealso{bimu_logm}
## @end deftypefn
function [bp,bn] = bimu_bernoulli(x)
## Check input
if nargin != 1
error("bimu_bernoulli: wrong number of input parameters.");
endif
xlim= 1e-2;
ax = abs(x);
bp = zeros(size(x));
bn = bp;
block1 = find(~ax);
block21 = find((ax>80)&x>0);
block22 = find((ax>80)&x<0);
block3 = find((ax<=80)&(ax>xlim));
block4 = find((ax<=xlim)&(ax~=0));
## X=0
bp(block1)=1.;
bn(block1)=1.;
## ASYMPTOTICS
bp(block21)=0.;
bn(block21)=x(block21);
bp(block22)=-x(block22);
bn(block22)=0.;
## INTERMEDIATE VALUES
bp(block3)=x(block3)./(exp(x(block3))-1);
bn(block3)=x(block3)+bp(block3);
## SMALL VALUES
if(any(block4))jj=1;
fp=1.*ones(size(block4));
fn=fp;
df=fp;
segno=1.;
while (norm(df,inf) > eps),
jj=jj+1;
segno=-segno;
df=df.*x(block4)/jj;
fp=fp+df;
fn=fn+segno*df;
endwhile;
bp(block4)=1./fp;
bn(block4)=1./fn;
endif
endfunction
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