/usr/share/calc/lnseries.cal is in apcalc-common 2.12.5.0-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 | /*
* lnseries - special functions (e.g.: gamma, zeta, psi)
*
* 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.
*
* @(#) $Revision: 30.4 $
* @(#) $Id: lnseries.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
* @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lnseries.cal,v $
*
* Under source code control: 2013/08/11 01:31:28
* File existed as early as: 2013
*/
/*
* hide internal function from resource debugging
*/
static resource_debug_level;
resource_debug_level = config("resource_debug", 0);
static __CZ__int_logs;
static __CZ__int_logs_limit;
static __CZ__int_logs_prec;
define deletelnseries(){
free(__CZ__int_logs,__CZ__int_logs_limit,__CZ__int_logs_prec);
}
define lnfromseries(n){
if( isnull(__CZ__int_logs)
|| __CZ__int_logs_limit < n
|| __CZ__int_logs_prec < log(1/epsilon())){
lnseries(n+1);
}
return __CZ__int_logs[n,0];
}
define lnseries(limit){
local k j eps ;
if( isnull(__CZ__int_logs)
|| __CZ__int_logs_limit < limit
|| __CZ__int_logs_prec < log(1/epsilon())){
__CZ__int_logs = mat[limit+1,2];
__CZ__int_logs_limit = limit;
__CZ__int_logs_prec = log(1/epsilon());
/* probably still too much */
eps = epsilon(epsilon()*10^(-(5+log(limit))));
k =2;
while(1){
/* the prime itself, compute logarithm */
__CZ__int_logs[k,0] = ln(k);
__CZ__int_logs[k,1] = k;
for(j = 2*k;j<=limit;j+=k){
/* multiples of prime k, add logarithm of k computed earlier */
__CZ__int_logs[j,0] += __CZ__int_logs[k,0];
/* First hit, set counter to number */
if(__CZ__int_logs[j,1] ==0)
__CZ__int_logs[j,1]=j;
/* reduce counter by prime added */
__CZ__int_logs[j,1] //= __CZ__int_logs[k,1];
}
k++;
if(k>=limit) break;
/* Erastothenes-sieve: look for next prime. */
while(__CZ__int_logs[k,0]!=0){
k++;
if(k>=limit) break;
}
}
/* Second run to include the last factor */
for(k=1;k<=limit;k++){
if(__CZ__int_logs[k,1] != k){
__CZ__int_logs[k,0] +=__CZ__int_logs[ __CZ__int_logs[k,1],0];
__CZ__int_logs[k,1] = 0;
}
}
epsilon(eps);
}
return 1;
}
/*
* restore internal function from resource debugging
*/
config("resource_debug", resource_debug_level),;
if (config("resource_debug") & 3) {
print "lnseries(limit)";
print "lnfromseries(n)";
print "deletelnseries()";
}
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