mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
56 lines
1.4 KiB
Plaintext
56 lines
1.4 KiB
Plaintext
/*
|
|
* bernpoly - Bernoulli polynomials B_n(z) for arbitrary n,z..
|
|
*
|
|
* Copyright (C) 2013 Christoph Zurnieden
|
|
*
|
|
* Calc is open software; you can redistribute it and/or modify it under
|
|
* the terms of the version 2.1 of the GNU Lesser General Public License
|
|
* as published by the Free Software Foundation.
|
|
*
|
|
* Calc 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 Lesser General
|
|
* Public License for more details.
|
|
*
|
|
* A copy of version 2.1 of the GNU Lesser General Public License is
|
|
* distributed with calc under the filename COPYING-LGPL. You should have
|
|
* received a copy with calc; if not, write to Free Software Foundation, Inc.
|
|
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
*
|
|
* Under source code control: 2013/08/11 01:31:28
|
|
* File existed as early as: 2013
|
|
*/
|
|
|
|
|
|
static resource_debug_level;
|
|
resource_debug_level = config("resource_debug", 0);
|
|
|
|
|
|
read -once zeta2
|
|
|
|
|
|
/* Idea by Don Zagier */
|
|
define bernpoly(n,z){
|
|
local h s c k;
|
|
if(isint(n) && n>=0){
|
|
h=0;s=0;c=-1;
|
|
for(k=1;k<=n+1;k++){
|
|
c*=1-(n+2)/k;
|
|
s+=z^n;
|
|
z++;
|
|
h+=c*s/k;
|
|
}
|
|
return h;
|
|
}
|
|
else return -n*hurwitzzeta(1-n,z);
|
|
}
|
|
|
|
|
|
/*
|
|
* restore internal function from resource debugging
|
|
*/
|
|
config("resource_debug", resource_debug_level),;
|
|
if (config("resource_debug") & 3) {
|
|
print "bernpoly(n,z)";
|
|
}
|